Question

the mass of the earth is 6 × 10²² kg and that of the moon is 7.4× 10²² Kg if the distance between the earth and moon is 3.84 × 10⁵ km . calculate the force of the earth exerted by it on the moon . Take G = 6.67×10¹¹ Nm² / kg²​

Answer 1

Force = 20.08 x 10⁴⁷ N

Step-by-step explanation:

Given:

M1 = 6 × 10²⁴ kg (rectified)

M2 = 7.4× 10²² Kg

Radius r = 3.84 × 10⁵ km

G = 6.67×10¹¹ Nm² / kg²​

Find:

Force

Computation:

F = GM1M2 / r²

Force = [(6 × 10²⁴)(7.4× 10²²)(6.67×10¹¹ )] / (3.84 × 10⁵)²

Force = [296.148 × 10⁵⁷] / [14.7456 × 10¹⁰]

Force = 20.08 x 10⁴⁷ N