Question

the mass of the earth is 6 into 10 power 24 kg and the mass of the moon is 7.4 into 10 power 22 Kg if the distance between the earth and the moon is 3.84 into 10 power 5 km calculate the force between earth and the moon​

Answer 1

Explanation:

The weight of an object with a mass of 10kg is approximately 98 Newtons on the Earth ( weight = mass x gravitational acceleration = 10kg x 9.8 m/s^2 = 98 Newtons). The 'on the moon' bit of the original question is irrelevant since the mass of the object is not influenced by the location.

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.