How does the decrease in gravitational potential energy of a falling ball compar

Question

How does the decrease in gravitational potential energy of a falling ball compare to its increase in kinetic energy? (Ignore air friction.)

a. The increase in kinetic energy is always less than the loss in gravitational potential energy.

b. The increase in kinetic energy is always larger than the loss in gravitational potential energy.

c. The two energies are not related.

d . The increase in kinetic energy is always equal to the loss in gravitational potential energy.

The answer and why please, thank you.

Explanation / Answer

The ans is D)

i.e The increase in kinetic energy is always equal to the loss in gravitational potential energy.

whenever a ball is freely falling... initially it is having potential energy due to some height.. ( P. E= mgh) ... gradually the potential energy decreases and the speed of the ball increases ... so that the kinetic energy increase....

here the loss in potential energy is converted into increase in kinetic energy... energy is converted from one form to another form.

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