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The maximum height that an average person can jump from a crouched start is about 60 cm. By how much does the gravitational potential energy increase for a 72 kg person in such a jump?

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smmwaite

Answer:

423.36 J

Explanation:

Change in gravitational potential energy= mgh where m is the mass of the displaced object g is the acceleration due to gravity and h is the displacement along a plane parallel to gravity vector.

From the question.m= 72kg, h=60cm=0.6m

g=9.8m/s²

Δ PE= 72kg×9.8m/s²×0.6m

=423.36 J

asuwafohjames

The change in potential energy of the person is 423.36 J.

What is potential energy?

Potential energy is the energy of a body by virtue of its position in the gravitational field.

To calculate the increase in the gravitational potential energy of the person, we use the formula below

Formula:

  • ΔPE = mgΔh.......... Equation 1

Where:

  • ΔPE = Change in potential energy
  • m = mass of the person
  • g = acceleration due to gravity
  • Δh = change in height

From the question,

Given:

  • m = 72 kg
  • Δh = 60 cm = 0.6 m
  • g = 9.8 m/s²

Substitute these values into equation 1

  • ΔPE = 72(0.6)(9.8)
  • ΔPE = 423.36 J

Hence, The change in potential energy of the person is 423.36 J.

Learn more about potential energy here: https://brainly.com/question/1242059

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