While riding a chairlift, a 55-kilogram skier is raised a vertical distance of 370 meters. What is the total change in the skier's gravitational potential energy

Respuesta :

The change in the skier's gravitational potential energy is 199430 J.

Gravitational potential energy:

This is the energy of a body due to its position in a gravitational field. The  S.I unit of gravitational potential energy is Joules (J)

The Change in the skier's gravitational potential energy can be calculated using the formula below.

Formula:

  • ΔP.E = mg(Δh)............... Equation 1

Where:

  • ΔP.E = Change in the skier's potential energy
  • m = mass of the skier
  • Δh = change in height to which it was raised
  • g = acceleration due to gravity.

From the question,

Given:

  • m = 55 kg
  • Δh = 370 m
  • g = 9.8 m/s²

Substitute these values into equation 1

  • ΔP.E = 55×370×9.8
  • ΔP.E = 199430 J.

Hence, The change in the skier's gravitational potential energy is 199430 J.

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