Two carts, one twice as heavy as the other, are at rest of a horizontal, frictionless track. A person pushes each cart with the same force for 5 seconds. If the kinetic energy of the lighter cart after the push is K , the kinetic energy of the heavier cart is: (10 points)

Explanation:

Both carts are modelled by using the Principle of Energy Conservation and Work-Energy Theorem:

Cart A:

By assuming a constant acceleration, final velocity is equal to:

Then,

Cart B:

By assuming a constant acceleration, final velocity is equal to:

The kinetic energy of cart B is 0.5K.

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