Question

The mass of the earth is 6×10²⁴ kg and that of the moon is 7.4×10²² kg. If the distance between the earth and the moon is 3.84×10^5 km, calculate the force exerted by the earth on the moon.

Given G=6.7×10²⁴Nm² kg.
(2.01 ×10^20 N)

Answer 1

force = G x Mass of Earth x Mass of Moon ÷ distance x distance
$f = gmm \div r {}^{2}$

Answer 2

Answer:

20.2 × 10¹⁹ N

Explanation:

Given :

Mass of earth = 6 × 10²⁴ kg

Mass of moon = 7.4 × 10²² kg

Distance between them = 3.84 × 10⁵ km = 3.84  × 10⁸ m

We have value of G = 6.7 × 10⁻¹¹ N m² kg⁻²

We have to find force :

We have :

F = G m₁ m₂ / r²

F = ( 6.7 × 10⁻¹¹ ) ( 6 × 10²⁴ ) ( 7.4 × 10²² ) / (  3.84 × 10⁸ )² N

F = 20.2 × 10¹⁹ N

Hence force exerted by the earth on the moon is 20.2 × 10¹⁹ N.