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A high diver of mass 56.4 kg steps off a board 10.0 m above the water and falls vertically to the water, starting from rest. If her downward motion is stopped 1.70 s after her feet first touch the water, what average upward force did the water exert on her?

Answer :

Final answer:

To calculate the average upward force exerted by the water on the high diver, we can apply the equation F = ma, where F is the force, m is the mass, and a is the acceleration. By substituting the given values and calculating, we can determine the average upward force exerted by the water.

Explanation:

In this scenario, we need to calculate the average upward force exerted by the water on the high diver. To do this, we can use the equation:

F = m * a

Where F is the force, m is the mass, and a is the acceleration. In this case, the diver's mass is 56.4 kg and the acceleration is the change in velocity divided by the time, since the diver comes to rest. The change in velocity is equal to the final velocity minus the initial velocity, and the initial velocity is zero, since the diver starts from rest. So:

F = 56.4 kg * [(-10 m/s) - 0 m/s] / 1.70 s

Solving this equation will give us the average upward force exerted by the water on the diver.

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