\A 40.0 kg child is in a swing that is attached to ropes 2.00 m long. Find the gravitational potential energy associated with the child relative to the child’s lowest position under the following conditions:

Respuesta :

Answer:

The gravitational potential relative to the child's lowest position = 784 J

Explanation:

Potential Energy: This is the energy gained by a body in position. The S. I unit of Potential Energy is Joules (J)

Ep = mgh................... Equation 1

Where Ep = potential Energy, h = height, g = acceleration due to gravity.

Given: m = 40 kg, h = 2 m, g = 9.8 m/s²

Note: The gravitational potential Energy relative to the lowest position, is when the rope is horizontal.

Substituting these values into equation 1

Ep = 40×2×9.8

Ep = 784 J

Thus The gravitational potential relative to the child's lowest position = 784 J