Question

Mass of the earth is 6*10^24 we'd mass of moon is 7.4*10^22 the distance between them is 3.84*10^5 km calculate force exerted by earth on moon

Answer 1

Gravitational force between them is calculated as
F = GMm /d²
= (6.67 × 10⁻¹¹ Nm²/(kg²) × 6 × 10²⁴ kg × 7.4 × 10²² kg) / (3.84 × 10⁸ m)²
= 2.0 × 10²⁰ N

Force exerted by earth on moon is 2.0 × 10²⁰ N

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.