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values | topic stringclasses 23
values | subtopic stringclasses 37
values | difficulty int64 1 8 | unit_type stringclasses 3
values | title stringlengths 14 86 | content stringlengths 203 553 | key_equations stringclasses 23
values | prerequisites stringclasses 29
values | learning_objective stringclasses 37
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7,401 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 34.81 m | An object of mass 1.807 kg is released from rest at height 34.81 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 26.13 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,402 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 17.08 m | An object of mass 18.79 kg is released from rest at height 17.08 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 18.3 m/s at the reference leve... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,403 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 2.707 m | An object of mass 0.477 kg is released from rest at height 2.707 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 7.287 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,404 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 35.45 m | An object of mass 8.236 kg is released from rest at height 35.45 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 26.37 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,405 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 17 m | An object of mass 19.38 kg is released from rest at height 17 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 18.26 m/s at the reference level.... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,406 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 16.03 m | An object of mass 19.4 kg is released from rest at height 16.03 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 17.73 m/s at the reference leve... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,407 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 35.14 m | An object of mass 19.09 kg is released from rest at height 35.14 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 26.25 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,408 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 9.738 m | An object of mass 1.003 kg is released from rest at height 9.738 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 13.82 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,409 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 6.542 m | An object of mass 8.001 kg is released from rest at height 6.542 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 11.33 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,410 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 32.27 m | An object of mass 11.49 kg is released from rest at height 32.27 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 25.16 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,411 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 2.888 m | An object of mass 7.369 kg is released from rest at height 2.888 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 7.526 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,412 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 31.26 m | An object of mass 11.71 kg is released from rest at height 31.26 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 24.76 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,413 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 12.37 m | An object of mass 15.71 kg is released from rest at height 12.37 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 15.58 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,414 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 38.63 m | An object of mass 0.9163 kg is released from rest at height 38.63 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 27.53 m/s at the reference le... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,415 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 8.256 m | An object of mass 7.952 kg is released from rest at height 8.256 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 12.72 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,416 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 30.92 m | An object of mass 6.262 kg is released from rest at height 30.92 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 24.63 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,417 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 22.92 m | An object of mass 14.4 kg is released from rest at height 22.92 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 21.2 m/s at the reference level... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,418 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 12.44 m | An object of mass 7.007 kg is released from rest at height 12.44 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 15.62 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,419 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 7.107 m | An object of mass 12.17 kg is released from rest at height 7.107 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 11.81 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,420 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 33.94 m | An object of mass 3.958 kg is released from rest at height 33.94 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 25.8 m/s at the reference leve... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,421 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 17.64 m | An object of mass 7.83 kg is released from rest at height 17.64 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 18.6 m/s at the reference level... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,422 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 3.994 m | An object of mass 16.71 kg is released from rest at height 3.994 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 8.851 m/s at the reference lev... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,423 | physics | mechanics | mechanical_energy | 4 | worked_example | Conservation of mechanical energy: drop from height 10.6 m | An object of mass 19.38 kg is released from rest at height 10.6 m above a reference level. Taking gravitational potential energy as m g h and kinetic energy as (1/2) m v², conservation of mechanical energy (neglecting non-conservative work) yields (1/2) m v² = m g h, so v = sqrt(2 g h) = 14.42 m/s at the reference leve... | K + U = constant (conservative systems); U_g = m g h; K = (1/2) m v^2 | newton_second_law; work-energy theorem | Apply conservation of mechanical energy to free-fall motion. |
7,424 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 39.31 m, speed 26.95 m/s | An object moves in a circle of radius 39.31 m at constant speed 26.95 m/s. The centripetal acceleration has magnitude a_c = v² / r = 18.48 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,425 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 45.99 m, speed 29.81 m/s | An object moves in a circle of radius 45.99 m at constant speed 29.81 m/s. The centripetal acceleration has magnitude a_c = v² / r = 19.33 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,426 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 47.05 m, speed 22.64 m/s | An object moves in a circle of radius 47.05 m at constant speed 22.64 m/s. The centripetal acceleration has magnitude a_c = v² / r = 10.89 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,427 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 16.1 m, speed 27.27 m/s | An object moves in a circle of radius 16.1 m at constant speed 27.27 m/s. The centripetal acceleration has magnitude a_c = v² / r = 46.19 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,428 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 5.16 m, speed 21.07 m/s | An object moves in a circle of radius 5.16 m at constant speed 21.07 m/s. The centripetal acceleration has magnitude a_c = v² / r = 86.05 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,429 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 25.71 m, speed 35.57 m/s | An object moves in a circle of radius 25.71 m at constant speed 35.57 m/s. The centripetal acceleration has magnitude a_c = v² / r = 49.2 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,430 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 2.061 m, speed 29.66 m/s | An object moves in a circle of radius 2.061 m at constant speed 29.66 m/s. The centripetal acceleration has magnitude a_c = v² / r = 427 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,431 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 47.46 m, speed 24.17 m/s | An object moves in a circle of radius 47.46 m at constant speed 24.17 m/s. The centripetal acceleration has magnitude a_c = v² / r = 12.31 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,432 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 34.39 m, speed 4.825 m/s | An object moves in a circle of radius 34.39 m at constant speed 4.825 m/s. The centripetal acceleration has magnitude a_c = v² / r = 0.677 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,433 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 31.18 m, speed 16.89 m/s | An object moves in a circle of radius 31.18 m at constant speed 16.89 m/s. The centripetal acceleration has magnitude a_c = v² / r = 9.156 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,434 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 32.01 m, speed 29.25 m/s | An object moves in a circle of radius 32.01 m at constant speed 29.25 m/s. The centripetal acceleration has magnitude a_c = v² / r = 26.73 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,435 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 45.38 m, speed 28.74 m/s | An object moves in a circle of radius 45.38 m at constant speed 28.74 m/s. The centripetal acceleration has magnitude a_c = v² / r = 18.2 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,436 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 32.93 m, speed 23.26 m/s | An object moves in a circle of radius 32.93 m at constant speed 23.26 m/s. The centripetal acceleration has magnitude a_c = v² / r = 16.43 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,437 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 19.08 m, speed 9.604 m/s | An object moves in a circle of radius 19.08 m at constant speed 9.604 m/s. The centripetal acceleration has magnitude a_c = v² / r = 4.835 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,438 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 28.03 m, speed 32.39 m/s | An object moves in a circle of radius 28.03 m at constant speed 32.39 m/s. The centripetal acceleration has magnitude a_c = v² / r = 37.44 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,439 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 44.38 m, speed 29.09 m/s | An object moves in a circle of radius 44.38 m at constant speed 29.09 m/s. The centripetal acceleration has magnitude a_c = v² / r = 19.06 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,440 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 48.12 m, speed 11.99 m/s | An object moves in a circle of radius 48.12 m at constant speed 11.99 m/s. The centripetal acceleration has magnitude a_c = v² / r = 2.986 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,441 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 23.1 m, speed 38.36 m/s | An object moves in a circle of radius 23.1 m at constant speed 38.36 m/s. The centripetal acceleration has magnitude a_c = v² / r = 63.71 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,442 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 44.46 m, speed 27 m/s | An object moves in a circle of radius 44.46 m at constant speed 27 m/s. The centripetal acceleration has magnitude a_c = v² / r = 16.4 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,443 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 18.3 m, speed 10.2 m/s | An object moves in a circle of radius 18.3 m at constant speed 10.2 m/s. The centripetal acceleration has magnitude a_c = v² / r = 5.684 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,444 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 12.35 m, speed 38.02 m/s | An object moves in a circle of radius 12.35 m at constant speed 38.02 m/s. The centripetal acceleration has magnitude a_c = v² / r = 117 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,445 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 47.47 m, speed 2.355 m/s | An object moves in a circle of radius 47.47 m at constant speed 2.355 m/s. The centripetal acceleration has magnitude a_c = v² / r = 0.1168 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,446 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 34.51 m, speed 4.024 m/s | An object moves in a circle of radius 34.51 m at constant speed 4.024 m/s. The centripetal acceleration has magnitude a_c = v² / r = 0.4693 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,447 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 35.35 m, speed 15.27 m/s | An object moves in a circle of radius 35.35 m at constant speed 15.27 m/s. The centripetal acceleration has magnitude a_c = v² / r = 6.594 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,448 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 33.46 m, speed 20.48 m/s | An object moves in a circle of radius 33.46 m at constant speed 20.48 m/s. The centripetal acceleration has magnitude a_c = v² / r = 12.54 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,449 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 1.497 m, speed 39.23 m/s | An object moves in a circle of radius 1.497 m at constant speed 39.23 m/s. The centripetal acceleration has magnitude a_c = v² / r = 1028 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,450 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 13.43 m, speed 34.68 m/s | An object moves in a circle of radius 13.43 m at constant speed 34.68 m/s. The centripetal acceleration has magnitude a_c = v² / r = 89.57 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,451 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 38.94 m, speed 16.23 m/s | An object moves in a circle of radius 38.94 m at constant speed 16.23 m/s. The centripetal acceleration has magnitude a_c = v² / r = 6.761 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,452 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 34.52 m, speed 27.33 m/s | An object moves in a circle of radius 34.52 m at constant speed 27.33 m/s. The centripetal acceleration has magnitude a_c = v² / r = 21.64 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,453 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 25.02 m, speed 32.05 m/s | An object moves in a circle of radius 25.02 m at constant speed 32.05 m/s. The centripetal acceleration has magnitude a_c = v² / r = 41.05 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,454 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 20.13 m, speed 28.77 m/s | An object moves in a circle of radius 20.13 m at constant speed 28.77 m/s. The centripetal acceleration has magnitude a_c = v² / r = 41.13 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,455 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 36.06 m, speed 39.62 m/s | An object moves in a circle of radius 36.06 m at constant speed 39.62 m/s. The centripetal acceleration has magnitude a_c = v² / r = 43.55 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,456 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 36.12 m, speed 37.77 m/s | An object moves in a circle of radius 36.12 m at constant speed 37.77 m/s. The centripetal acceleration has magnitude a_c = v² / r = 39.49 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,457 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 45.82 m, speed 14.08 m/s | An object moves in a circle of radius 45.82 m at constant speed 14.08 m/s. The centripetal acceleration has magnitude a_c = v² / r = 4.33 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,458 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 10.05 m, speed 38.72 m/s | An object moves in a circle of radius 10.05 m at constant speed 38.72 m/s. The centripetal acceleration has magnitude a_c = v² / r = 149.2 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,459 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 21.89 m, speed 23.01 m/s | An object moves in a circle of radius 21.89 m at constant speed 23.01 m/s. The centripetal acceleration has magnitude a_c = v² / r = 24.19 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,460 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 49.56 m, speed 11.56 m/s | An object moves in a circle of radius 49.56 m at constant speed 11.56 m/s. The centripetal acceleration has magnitude a_c = v² / r = 2.698 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,461 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 19.39 m, speed 29.4 m/s | An object moves in a circle of radius 19.39 m at constant speed 29.4 m/s. The centripetal acceleration has magnitude a_c = v² / r = 44.56 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,462 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 38.87 m, speed 15.91 m/s | An object moves in a circle of radius 38.87 m at constant speed 15.91 m/s. The centripetal acceleration has magnitude a_c = v² / r = 6.512 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,463 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 40.36 m, speed 17.81 m/s | An object moves in a circle of radius 40.36 m at constant speed 17.81 m/s. The centripetal acceleration has magnitude a_c = v² / r = 7.854 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,464 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 45.31 m, speed 5.932 m/s | An object moves in a circle of radius 45.31 m at constant speed 5.932 m/s. The centripetal acceleration has magnitude a_c = v² / r = 0.7768 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,465 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 8.936 m, speed 12.14 m/s | An object moves in a circle of radius 8.936 m at constant speed 12.14 m/s. The centripetal acceleration has magnitude a_c = v² / r = 16.48 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,466 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 1.204 m, speed 28.21 m/s | An object moves in a circle of radius 1.204 m at constant speed 28.21 m/s. The centripetal acceleration has magnitude a_c = v² / r = 661 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,467 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 0.4952 m, speed 13.95 m/s | An object moves in a circle of radius 0.4952 m at constant speed 13.95 m/s. The centripetal acceleration has magnitude a_c = v² / r = 393 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,468 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 41.95 m, speed 25.11 m/s | An object moves in a circle of radius 41.95 m at constant speed 25.11 m/s. The centripetal acceleration has magnitude a_c = v² / r = 15.03 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,469 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 47 m, speed 20.81 m/s | An object moves in a circle of radius 47 m at constant speed 20.81 m/s. The centripetal acceleration has magnitude a_c = v² / r = 9.217 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,470 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 40.76 m, speed 8.229 m/s | An object moves in a circle of radius 40.76 m at constant speed 8.229 m/s. The centripetal acceleration has magnitude a_c = v² / r = 1.662 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,471 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 20.02 m, speed 6.561 m/s | An object moves in a circle of radius 20.02 m at constant speed 6.561 m/s. The centripetal acceleration has magnitude a_c = v² / r = 2.151 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,472 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 39.35 m, speed 15.48 m/s | An object moves in a circle of radius 39.35 m at constant speed 15.48 m/s. The centripetal acceleration has magnitude a_c = v² / r = 6.088 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,473 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 19.13 m, speed 12.78 m/s | An object moves in a circle of radius 19.13 m at constant speed 12.78 m/s. The centripetal acceleration has magnitude a_c = v² / r = 8.541 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,474 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 22.39 m, speed 5.401 m/s | An object moves in a circle of radius 22.39 m at constant speed 5.401 m/s. The centripetal acceleration has magnitude a_c = v² / r = 1.303 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,475 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 46.14 m, speed 1.528 m/s | An object moves in a circle of radius 46.14 m at constant speed 1.528 m/s. The centripetal acceleration has magnitude a_c = v² / r = 0.05062 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,476 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 43.52 m, speed 11.77 m/s | An object moves in a circle of radius 43.52 m at constant speed 11.77 m/s. The centripetal acceleration has magnitude a_c = v² / r = 3.184 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,477 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 12.06 m, speed 31.3 m/s | An object moves in a circle of radius 12.06 m at constant speed 31.3 m/s. The centripetal acceleration has magnitude a_c = v² / r = 81.26 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,478 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 29.47 m, speed 5.628 m/s | An object moves in a circle of radius 29.47 m at constant speed 5.628 m/s. The centripetal acceleration has magnitude a_c = v² / r = 1.075 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,479 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 9.161 m, speed 5.779 m/s | An object moves in a circle of radius 9.161 m at constant speed 5.779 m/s. The centripetal acceleration has magnitude a_c = v² / r = 3.645 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,480 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 40.7 m, speed 3.053 m/s | An object moves in a circle of radius 40.7 m at constant speed 3.053 m/s. The centripetal acceleration has magnitude a_c = v² / r = 0.229 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,481 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 33.42 m, speed 11.33 m/s | An object moves in a circle of radius 33.42 m at constant speed 11.33 m/s. The centripetal acceleration has magnitude a_c = v² / r = 3.839 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,482 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 27.27 m, speed 8.621 m/s | An object moves in a circle of radius 27.27 m at constant speed 8.621 m/s. The centripetal acceleration has magnitude a_c = v² / r = 2.726 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,483 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 39.65 m, speed 7.139 m/s | An object moves in a circle of radius 39.65 m at constant speed 7.139 m/s. The centripetal acceleration has magnitude a_c = v² / r = 1.285 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,484 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 20.83 m, speed 5.537 m/s | An object moves in a circle of radius 20.83 m at constant speed 5.537 m/s. The centripetal acceleration has magnitude a_c = v² / r = 1.472 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,485 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 38.86 m, speed 35.56 m/s | An object moves in a circle of radius 38.86 m at constant speed 35.56 m/s. The centripetal acceleration has magnitude a_c = v² / r = 32.54 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,486 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 10.75 m, speed 32.57 m/s | An object moves in a circle of radius 10.75 m at constant speed 32.57 m/s. The centripetal acceleration has magnitude a_c = v² / r = 98.68 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,487 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 22.69 m, speed 17.09 m/s | An object moves in a circle of radius 22.69 m at constant speed 17.09 m/s. The centripetal acceleration has magnitude a_c = v² / r = 12.87 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,488 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 32.92 m, speed 18.86 m/s | An object moves in a circle of radius 32.92 m at constant speed 18.86 m/s. The centripetal acceleration has magnitude a_c = v² / r = 10.8 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,489 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 5.302 m, speed 36.39 m/s | An object moves in a circle of radius 5.302 m at constant speed 36.39 m/s. The centripetal acceleration has magnitude a_c = v² / r = 249.8 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,490 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 45.19 m, speed 2.17 m/s | An object moves in a circle of radius 45.19 m at constant speed 2.17 m/s. The centripetal acceleration has magnitude a_c = v² / r = 0.1041 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,491 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 32.32 m, speed 29.5 m/s | An object moves in a circle of radius 32.32 m at constant speed 29.5 m/s. The centripetal acceleration has magnitude a_c = v² / r = 26.94 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,492 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 24.83 m, speed 21.7 m/s | An object moves in a circle of radius 24.83 m at constant speed 21.7 m/s. The centripetal acceleration has magnitude a_c = v² / r = 18.97 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,493 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 17.88 m, speed 7.513 m/s | An object moves in a circle of radius 17.88 m at constant speed 7.513 m/s. The centripetal acceleration has magnitude a_c = v² / r = 3.158 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,494 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 46.6 m, speed 4.097 m/s | An object moves in a circle of radius 46.6 m at constant speed 4.097 m/s. The centripetal acceleration has magnitude a_c = v² / r = 0.3601 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,495 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 36.52 m, speed 18.42 m/s | An object moves in a circle of radius 36.52 m at constant speed 18.42 m/s. The centripetal acceleration has magnitude a_c = v² / r = 9.289 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,496 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 45.82 m, speed 22.72 m/s | An object moves in a circle of radius 45.82 m at constant speed 22.72 m/s. The centripetal acceleration has magnitude a_c = v² / r = 11.27 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,497 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 15.98 m, speed 9.155 m/s | An object moves in a circle of radius 15.98 m at constant speed 9.155 m/s. The centripetal acceleration has magnitude a_c = v² / r = 5.244 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,498 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 40.8 m, speed 26.66 m/s | An object moves in a circle of radius 40.8 m at constant speed 26.66 m/s. The centripetal acceleration has magnitude a_c = v² / r = 17.42 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,499 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 36.98 m, speed 7.873 m/s | An object moves in a circle of radius 36.98 m at constant speed 7.873 m/s. The centripetal acceleration has magnitude a_c = v² / r = 1.676 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
7,500 | physics | mechanics | uniform_circular_motion | 5 | worked_example | Centripetal acceleration: radius 44.47 m, speed 20.71 m/s | An object moves in a circle of radius 44.47 m at constant speed 20.71 m/s. The centripetal acceleration has magnitude a_c = v² / r = 9.648 m/s² and is directed toward the center of the circle. The corresponding centripetal force is supplied by whatever agent constrains the motion (tension, gravity, friction, etc.). | a_c = v^2 / r; F_c = m v^2 / r | newton_second_law | Calculate centripetal acceleration and identify the force providing it. |
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