35. Calculate the force of gravitation between two objects of masses 50 kg and 120 kg respectively kept at a distance of 10 m from one another. (Gravitational constant, G = 6.7 x 10-11 Nm kg) . What is the force of gravity on a body of mass 150 kg lying on the surface of the earth (Mass of earth = 6 x 104 kg; Radius of earth = 6.4 x 10 m; G = 67 10-11 Nm /kg)I want correct answer along with explanation...

Answers 1

Answer:

The force of gravitation between two objects of masses 50 kg and 120 kg respectively kept at a distance of 10 m from one another is 400.2 × 10⁻¹¹ N.

The force of gravity on a body of mass 150 kg lying on the surface of the earth is 1465.5 N.

Explanation:

1) Two objects of masses 50 Kg and 120 Kg.

∴ M = 120 Kg

m = 50 Kg

Distance of separation, d = 10 m

Force of gravitation, F = G Mm / d²

= (6.67 × 10⁻¹¹ × 120 × 50) / (10²)

= 400.2 × 10⁻¹¹ N

2) Mass of the body, m = 150 Kg

Mass of the earth, M = 6 × 10²⁴ Kg

Distance of separation will be equal to the radius of the earth since the body is lying on the surface of the earth.

∴ d = Radius of the earth, R = 6.4 × 10⁶ m

Force of gravitation, F = G Mm / d²

= (6.67 × 10⁻¹¹ × 6 × 10²⁴ × 150) / (6.4 × 10⁶)²

= 1465.5 N