(a) Calculate the magnitude of the gravitational force exerted by the Moon on a 75 kg human standing on the surface of the Moon. (The mass of the Moon is 7.41022 kg and its radius is 1.7106 m.)

128 N

Explanation:

Using

F = Gm'm/r² Equation 1

Where F = Force, G = Universal constant, m = mass of the human, m' = mass of the moon, r = radius of the moon

Given: m = 75 kg, m' = 7.4×10²² kg, r = 1.7×10⁶ m

Constant: G = 6.67×10⁻¹¹ Nm²/kg²

Substitute into equation 1

F =  (6.67×10⁻¹¹ )(75)(7.4×10²²)/(1.7×10⁶)²

F = (3.7×10¹⁴)/(2.89×10¹²)

F = 1.28×10²

F = 128 N

Explanation:

Below is an attachment containing the solution.

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