Question

The Earth (mass = 6.0 x 1024 kg) and the Moon (mass = 7.3 x 1022 kg) are separated by an average distance of about 3.8 x 105 km. What is the gravitational force between them? (G = 6.67 x 10-11 N m2 / kg2)

A.  7.7 x 1028 N

B. 7.7 x 1031 N

C. 2.0 x 1026 N

D. 2.0 x 1020 N

Answer 1

Gravitational force is an attractive force betwee two bodies due to their masses.

where

G is the gravitational constant

m1= mass of the first body

m2= mass of the second body

r= distance seperating the two bodies

As per the question, m1= mass of the earth= kg

m2= mass of the moon= kg

r= distance between earth and moon= k m

Substituting these values in the equation to get gravtiatatinal force:

Solving for the same, we get

Answer: D