Question

the mass of earth is 6*10^24kg and that of moon is 7.4 * 10^22 kg. if the distance between the earth and the moon is 3.84 * 10^5 km calculate the force exerted by earth on moon . G=6.7 * 10^-11Nm^2 kg^ -2

Answer 1

Gravitational force between earth and moon is :

 The mass of the earth, M= 6*10^24 Kg
The mass of the Moon, m= 7.4*10^22 Kg
The distance between the earth and the moon, d= 3.84*10^5 Km or 3.84*10^5*1000 metres= 3.84*10^8 meters.
G= 6.7*10^-11 Nm^2Kg^-2
Force exerted by the earth on the moon=
F=G(M*m)/d^2 Thus,
(6.7*10^-11 Nm^2 Kg^-2*6*10^24 Kg*7.4*10^22Kg)/(3.84*10^8 m) ^2=
2.01*10^20 N
Thus, the force exerted by the earth on the moon is 2.01*10^20 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.