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A 81.0 kg diver falls from rest into a swimming pool from a height of 4.70 m. It takes 1.84 s for the diver to stop after entering the water. Find the magnitude of the average force exerted on the diver during that time.

Respuesta :

Explanation:

The given data is as follows.

             height (h) = 4.70 m,    mass = 81.0 kg

              t = 1.84 s

As formula to calculate the velocity is as follows.

            [tex]\nu[/tex] = 2gh

                       = [tex]2 \times 9.8 m/s^{2} \times 4.70 m[/tex]

                       = 92.12 [tex]s^{2}[/tex]

As relation between force, time and velocity is as follows.

                     F = [tex]\frac{m \times \nu}{t}[/tex]

Hence, putting the given values into the above formula as follows.

                  F = [tex]\frac{m \times \nu}{t}[/tex]

                     = [tex]\frac{81.0 kg \times 92.12 s^{2}}{1.84 s}[/tex]

                     = 4055.28 N

Thus, we can conclude that the magnitude of the average force exerted on the diver during that time is 4055.28 N.

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