Question

12. Calculate the gravitational force of a planet of mass 4.5 x 10°kg on a moon of mass 2.2 x 10°kg, if the distance
between their centers is 6.8 x 10’m. Calculate the acceleration due to gravity on the surface of the given planet,
given that it has a radius of 9.0 x 10^4​

Answer 1

Answer:

Distance of the Moon from the Earth = 3.84 × 105 km, F GM M

R = 1 2

2

Here, G = 6.67 × 10–11 N m2

/kg2

, M1

= 6 × 1024 kg; M2

= 7.4 × 1022 kg.

R = 3.84 × 105

km = 3.84 × 108

m

F =

6 67 10 6 10 7 4 10

3 84 10

11 24 22

8 2

. .

( . )

× × × × ×

×

−

= 20.2 × 1019 N.