A 0.20 kg plastic cart and a 2.0 kg lead cart can both glide without friction al

Question

A 0.20 kg plastic cart and a 2.0 kg lead cart can both glide without friction along a horizontal track. Equal forces (same direction and magnitude) are used to push each cart forward for 1 m, starting from rest. After the force is removed at x = 1 m, which of the following statements is true? (4 pts)

a.The kinetic energy of the plastic cart is less than the kinetic energy of the lead cart.

b.The kinetic energy of the plastic cart is equal to the kinetic energy of the lead cart.

c.The kinetic energy of the plastic cart is greater than the kinetic energy of the lead cart.

d. There is not enough information to compare the kinetic energies of the two carts.

Explanation / Answer

Ans: b.The kinetic energy of the plastic cart is equal to the kinetic energy of the lead cart.

Equal forces are applied for the ame distance, so work done on both is same. By work-energy theorem, work done is equal to the change in KE. So, both of them have the same KE.

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