Calculate the magnitude of the gravitational force exerted by Mars on a 80 kg human standing on the surface of Mars. (The mass of Mars is 6.4multiply1023 kg and its radius is 3.4multiply106 m.)

295.42 N

Explanation:

From Newton's law of universal gravitation.

F = Gmm'/r² ... Equation 1

Where F = Gravitational force, G = Universal constant, m = mass of the human, m' = mass of mass, r = radius of mass.

Given: m = 80 kg, m' = 6.4*10²³ kg, r = 3.4*10⁶ m.

Constant: G = 6.67*10⁻¹¹ Nm²/Kg²

Substitute into equation 1

F = 6.67*10⁻¹¹ (80) (6.4*10²³) / (3.4*10⁶) ²

F = 3415.04*10¹² / (11.56*10¹²)

F = 3415.04/11.56

F = 295.42 N

Hence the gravitational force = 295.42 N