Question

The mass of the earth is 6*10^24kg and that of he moon is 7.4*10^22kg. if the distance between the earth and the moon be 3.84*10^5km, then calculate the force exerted by the earth on the moon.

Answer 1

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Secondary SchoolPhysics 5+3 pts

The acceleration of moon with respect to Earth is 0.0027 metre per second square and the acceleration of an apple falling on the earth surface is about 10 metre per second square assume that the radius of the moon is one for the earth's radius if moon is stopped for an instant and then released it will fall towards the earth the initial acceleration of the Moon towards the earth will be ?

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.