A child (32 kg) jumps up and down on a trampoline. The trampoline exerts a spring restoring force on the child with a constant of 5000 N/m. At the highest point of the bounce, the child is 1.0 m above the level surface of the trampoline. What is the compression distance of the trampoline? Neglect the bending of the legs or any transfer of energy of the child into the trampoline while jumping.
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A child (32 kg) jumps up and down on a trampoline. The trampoline exerts a spring restoring force on the child with a constant of 5000 N/m. At the highest point of the bounce, the child is 1.0 m above the level surface of the trampoline. What is the compression distance of the trampoline? Neglect the bending of the legs or any transfer of energy of the child into the trampoline while jumping.
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- Current Attempt in Progress In the figure, a spring with spring constant k = 180 N/m is at the top of a frictionless incline of angle = 36°. The lower end of the incline is distance D = 0.98 m from the end of the spring, which is at its relaxed length. A 1.7 kg canister is pushed against the spring until the spring is compressed 0.18 m and released from rest. (a) What is the speed of the canister at the instant the spring returns to its relaxed length (which is when the canister loses contact with the spring)? (b) What is the speed of the canister when it reaches the lower end of the incline? (a) Number i (b) Number i Ө Forord Units Units1. A 5.00-kg block is set into motion up an inclined plane with an initial speed of v; = 8.00 m/s. The block comes to rest after traveling 3.00 m along the plane, which is inclined at an angle of 30.0° to the horizontal. For this motion determine (a) the change in the block's kinetic energy, (b) the change in the potential energy of the block- Earth system, and (c) the friction force exerted on the block (assumed to be constant). (d) What is the coefficient of kinetic friction?Ballistic pendulum: The height h can be found using conservation of mechanical energy after the object is embedded in the block. If a ballistic pendulum of mass 1.17 kg rose to a height of 0.12 m after being hit by a 11 g bullet, find the initial speed of the bullet at which it was shot. Ignore air resistance.
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