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