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A 66.9 kg diver steps off a 6.07 m tower and drops straight down into the water. If he comes to rest 2.96 m below the surface of the water, determine the average resistance force exerted on the diver by the water.

Respuesta :

ayune

The average resistance force exerted on the diver by the water is 2,000 N

According to the law of conservation of energy, the mechanical energy is constant.

Mechanical energy (EM) is equal to the kinetic energy (Ek) + potential energy (Ep).

In the given problem, the diver comes to rest at  2.96 m below the surface of the water. Hence, at this point, his velocity is zero, so is its kinetic energy. Therefore, according to the law of  conservation of energy:

ΔE = - mg (h₂ - h₁)

Where:

m = mass of the diver

g = gravitation due to gravity

h = height

Hence,

ΔE = - 66.9 x 9.8 x (-2.96 - 6.07)

     = 5920.25 Joule

This is equivalent to the work done by the resistance force.

Hence,

W = ΔE = F . s

Where:

s = distance under water

Hence,

5920.25 = F x 2.96

F = 5920.25 / 2.96 =  2,000 N

Learn more about energy conservation here:

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