A 55.0-kilogram diver falls freely from a diving platform that is 3.00 meters above the surface of the water in a pool. When she is 1.00 meter above the water, what are her gravitational potential energy and kinetic energy with respect to the water's surface?

and .

Explanation:

From the conservation of the mechanical energy, we have that:

Since the diver is in free fall, her initial velocity is zero. So her initial kinetic energy is also zero. Then, we get:

We will first calculate the final kinetic energy. Solving for K_f, we have:

So the kinetic energy when the diver is 1.00m above the water is 1080J.

Finally, we solve for the final potential energy U_gf:

In words, the gravitational potential energy when she is 1.00m above the water is 539J.

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