Question

Suppose an Olympic diver who weighs 55.0 kg executes a straight dive from a 10 m platform. At the apex of the dive, the diver is 10.8 m above the surface of the water.

What is the potential energy of the diver at the apex of the dive, relative to the surface of the water?

Assuming that all the potential energy of the diver is converted into kinetic energy at the surface of the water, at what speed in m/s will the diver enter the water?

Does the diver do work on entering the water? (Yes/No)
Explain.

Answer 1

Answer: energy=mgh 55*9.8*10.8= 5821.2 J <--- this can't be wrong, there's no other way to solve for it. set the potential energy equal to kinetic energy: 5821.2= 1/2...

Answer 2

The potential energy of the diver at the initial position, relative to the surface of the water is 431.2 J.

The speed of the diver at the surface of the water if the potential energy is converted into kinetic energy is 3.96 m/s.

Yes, The diver does work on entering the water because their is a change in the position of the diver.

The given parameters;

• Weight of the Olympic diver,  W = 55 kg
• Height of the platform, h = 10 m
• Height above the surface of the water, h' = 10.8 m

The potential energy of the diver at the initial position, relative to the surface of the water is calculated as;

P.E = mgΔh

P.E = 55 x 9.8 x (10.8 - 10)

P.E = 431.2 J

The speed of the diver at the  if the potential energy is converted into kinetic energy is calculated as;

$K.E = \frac{1}{2} mv^2\\\\mv^2 = 2K.E\\\\v^2 = \frac{2K.E}{m} \\\\v = \sqrt{\frac{2K.E}{m}} \\\\v = \sqrt{\frac{2\times 431.2}{55}}\\\\v = 3.96 \ m/s$

Yes, the diver does work on entering the water because their is a change in the position of the diver.

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