Question

The masses of the earth and moon are
6 x 1024 kg and 7.4 x 1022 kg, respectively.
The distance between them is 3.84 x 10% km.
Calculate the gravitational force
of
attraction between the two.
Use G=6.7 * 10-" Nm² kg-? 12 Marks​

Answer 1

Answer:

F = 2.01 × 10^20 N

Explanation:

Mass of earth (m^e) = 6 × 10²⁴

Mass of moon (m^n) = 7.4× 10²²

Distance between them (d) = 3.84 × 10^5 km

= 3.84 × 10^8 m

Gravitational Force (F) = ?

We know that ,

Force exerted by earth on the moon is :

F = G × m^e × m ^n/ d² ,

where G is Gravitational Constant,

F = 6.7 × 10^-11 × 6 × 10²⁴ × 7.4 × 10²² / 3.84 × 10^8

Therefore,

F = 2.01 × 10^20 N