when 2 masses r kept 2metre apart there is gravitational force of 2Nwhat is the gravitional force when they r kept at 4m apart?

0.5N

Explanation:

Let the two masses be m1 and m2

Gravitational force 'F' at distance 'r' of 2 m = 2N

The gravitational force 'F' at an 'r' distance of 4m can be calculated thus :

The gravitational force of attraction is found using the relation below :

F = Gm1m2 / r^2

Where r = distance, m1 and m2 are the masses and G = gravitational constant

Equation 1:

F = Gm1m2 / r^2;

2 = Gm1m2 / 2^2

Equation 2:

F = Gm1m2 / r^2;

F = Gm1m2 / 4^2

Equating both equations to find 'F' ;

2/F = (Gm1m2 / 4) ÷ (Gm1m2 / 16)

2/F = (Gm1m2 / 4) × (16 / Gm1m2)

2/F = 16/4

2/F = 4

4F = 2

F = 2/4

F = 0.5N