Question

Two balls of mass m1 and m2 are separated by a distance d. How much the force between the two balls change if the distance

between them is increased 5times. Solve​

Answer 1

Answer:-

Given:

mass of one ball (M) = m₁

mass of other ball (m) = m₂

Distance between them (r) = d.

We know that,

Gravitational force (F) = GMm/r²

(G is gravitational constant).

So,

F = Gm₁m₂/d² -- equation (1)

Now,

we have to find,

gravitational force if distance between them becomes 5 times.

→ new distance between them = 5d.

So, new gravitational force (F') = Gm₁m₂ / (5d)²

⟶ F' = Gm₁m₂ / 25d²

⟶ F' = (1/25) * (Gm₁m₂ / d²)

⟶ F' = F/25

[ from equation (1) ]

∴ The gravitational force between them reduces by 25 times the original force between them.

Answer 2

Given:

There are two balls:

• mass of one ball (M) = m₁

• mass of other ball (m) = m₂

• Distance between them (r) = d.

We know that,

• Gravitational force (F) = GMm/r²

(G is gravitational constant).

So,

• F = Gm₁m₂/d² -- equation (1)

Now,

To find:-

• gravitational force if distance between them becomes 5 times.

→ new distance between them = 5d.

• So, new gravitational force (F') = Gm₁m₂ / (5d)²

⟶ F' = Gm₁m₂ / 25d²

⟶ F' = (1/25) * (Gm₁m₂ / d²)

⟶ F' = F/25

[ from equation (1) ]

• ∴ The gravitational force between them reduces by 25 times the original force between them.