Question

what is ratio of the force of gravitational between two masses m1 and m2 kept at distance R on the earth and on the moon ? a) none of this b) 6:1 c) 1:6 d) 1:1 ​

Answer 1

F=
R
2

GM
1
​
M
2
​

​

R→R+d
∴F
′
=
(R+d)
2

GM
1
​
M
2
​

​
=
R
2
(R+d)
2

GM
1
​
M
2
​

​
R
2

=
(R+d)
2

FR
2

​

Answer 2

Answer:

Option (d) 1 : 1 is the correct answer.

Explanation:

We know that F = $\frac{Gm_1m_2}{R^2}$

Since, G is the universal gravitational constant, its value will remain constant throughout the universe.

We know that the mass of body remains same on Earth and the moon.

Therefore there will be no change in the value of m₁ and m₂

As the masses are placed at distance R and there is no difference in the distance on the moon, it will remain same

Therefore, as G, m₁, m₂ and R remain same both on Earth and the moon,

the ratio of force of gravitation will be 1 : 1

Therefore, option (d) 1 : 1 is the correct answer.