A 1.00kg block slides with a speed of 0.880m/son a frictionless horizontal surfa

Question

A 1.00kg block slides with a speed of 0.880m/son a frictionless horizontal surface until it encounters a spring with a force constant of 450N/m . The block comes to rest after compressing the spring 4.15 cm.

Part A

Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 0 cm.

Part B

Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 1.00 cm.

Part C

Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 2.00 cm.

Part D

Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 3.00 cm.

Part E

Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 4.00 cm.

Explanation / Answer

KE of the block=mbvb2/2= total mechanical energy of the system in all the cases

PE of spring=kx2/2 value of x is different in all the cases

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