Question

force of gravtation between two bodies is 5N calculate the force between bodies if the distance is double​

Answer 1

Answer:-

Given:

Force of gravitation between two objects = 5 N.

We know that,

Gravitational force between two objects = GMm/r²

where,

• G is the universal gravitional Constant
• M is the Mass of the first Object
• m is the Mass of second Object
• r is the Distance between them.

Hence,

→ GMm/r² = 5 -- equation (1)

We have to find:

The gravitational force when the distance between them is doubled.

→ Distance between the objects = 2*r = 2r

Hence,

→ New gravitional force (F) = GMm/(2r)²

→ New gravitional force = GMm/4r²

→ New gravitional force = GMm/r² * (1/4)

Putting the value from equation (1) we get,

→ New gravitional force = 5 * 1/4

→ New gravitational force = 5/4 (or) 1.25 N.

Hence , the gravitional force decreases to 1.25 N of the Distance between them is doubled.

Answer 2

Explanation:

Force is inversely proportional to square of distance.

F = Gm1m2/r²

Given force is 5N.

5 = Gm1m2/r²

5r² = Gm1m2 ...............(1)

Now, distance is doubled. Then,

F = Gm1m2/(2r)²

4Fr² = Gm1m2 ..............(2)

From (1) & (2) we get,

→ 5r² = 4Fr²

→ F = 5/4

→ F = 1.25N

Hence, the new force is 1.25 N.