How much work is required to lift a 35-kg object from the ground 3.0-m into the air?
Also; How much Gravitational Potential Energy did the object gain?

Respuesta :

The amount of work required to lift the object is 1029 J. And the amount of potential energy gained by the object is 1029 J.

What is work?

Work can be defined as the product of force and distance. The s.i unit of work is Joules (J).

To calculate the amount of work required to lift the object, we use the formula below.

Formula:

  • W = mgh........... Equation 1

Where:

  • P.E = work required to lift the object
  • m = mass of the object
  • h = height of the object
  • g = acceleration due to gravity

From the question,

Given:

  • m = 35 kg
  • h = 3 m
  • g = 9.8 m/s²

Substitute these values into equation 1

  • W = 35×3×9.8
  • W = 1029 J.

The amount of gravitational potential energy gained by the object is the same s the amount of work required to lift the object

Therefore,

  • P.E = W = 1029 J

Hence, The amount of work required to lift the object is 1029 J. And the amount of potential energy gained by the object is 1029 J.

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