Question

The mass of the earth is 6×10^24kg and that of the Moon is7.4×10^22kg. if the distance between the earth and the Moon is 3.84×10^5km. calculate the force exerted by the earth on the moon
G=6.7×10^-2kg.

Answer 1

Explanation:

According to Newton's law of gravitation

F = {G(mass of Earth)(mass of moon)}/(distance between moon and Earth)^2

F = 6.7*10^-2(6*10^24)(7.4*10^22)kg^3/3.84*10^5

F ~= 10^39*77.46875

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.