Question

The masses of the earth and moon are 6× 10 raised to 24 kg and 7.4× 10 raised to 22 kg , respectively.
The distance between them is 3.84 × 10 raised to 5 km.
Calculate the gravitational force of attraction between the two ?
Use G = 6.7× 10 raised to -11 Nm2kg -2

Answer 1

20.174 * 10raised power of 25

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.