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3 years ago

Compare and contrast power and work.

Physics

1 answer:

cestrela7 [59]3 years ago

6 0

Answer:

Comparison

Displacement and force are factors of both work and power

Work=Force× Displacement

power=(Force×Displacement)/time

Therefore power is the derivative of work with respect to time.

Contrast

Work is defined as a product of force and distance while power is the rate at which the work is done.

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The platform height for Olympic divers is 10 m. A 60 kg diver steps off the platform to begin his dive.

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Answer:

a) Ep = 5886[J]; b) v = 14[m/s]; c) W = 5886[J]; d) F = 1763.4[N]

Explanation:

The potential energy can be found using the following expression, we will take the ground level as the reference point where the potential energy is equal to zero.

$E_{p} =m*g*h\\where:\\m = mass = 60[kg]\\g = gravity = 9.81[m/s^2]\\h = elevation = 10 [m]\\E_{p}=60*9.81*10\\E_{p}=5886[J]$

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The work is equal to

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We need to use the following equation and find the deceleration of the diver at the moment when he stops his velocity is zero.

$v_{f} ^{2}= v_{o} ^{2}-2*a*d\\where:\\d = 2.5[m]\\v_{f}=0\\v_{o} =14[m/s]\\Therefore\\a = \frac{14^{2} }{2*2.5} \\a = 39.2[m/s^2]$

By performing a sum of forces equal to the product of mass by acceleration (newton's second law), we can find the force that acts to reduce the speed of the diver to zero.

m*g - F = m*a

F = m*a - m*g

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