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A box moves down a ramp with no friction. At the bottom of the ramp, the box has lost 15.6 joules of potential energy. How much kinetic energy did the box gain as it moved down the ramp?

Question

A box moves down a ramp with no friction. At the bottom of the ramp, the box has lost 15.6 joules of potential energy. How much kinetic energy did the box gain as it moved down the ramp?

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Solution

The box gains kinetic energy as it moves down the ramp due to the conservation of energy. The law of conservation of energy states that energy cannot be created or destroyed, only transferred or converted from one form to another.

In this case, the potential energy of the box at the top of the ramp is converted into kinetic energy as it moves down the ramp. Since there is no friction (which would convert some of the energy into heat), all of the potential energy is converted into kinetic energy.

Therefore, if the box has lost 15.6 joules of potential energy, it has gained 15.6 joules of kinetic energy.

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