Question

solve the problem...​

Answer 1

The answer is F/2

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Answer 2

Answer:-

• Let the mass of first body be M and mass of second body be m.

Given:-

• Gravitational force between them = F.

We know that,

• Gravitational force (F) = GMm/r²

• [ where r is the Distance between them and G is the gravitational constant. ]

So,

⟶ F = GMm/r² -- equation (1)

Now,

• Their masses are halved.

• mass of first body = M/2

• mass of second body = m/2

Let ,

Gravitational force between them = F'

⟶ F' = G(M/2)(m/2) / r²

⟶ F' = (GMm/4) * 1/r²

⟶ F' = (GMm/r²) * (1/4)

⟶ F' = F * 1/4

[ from equation (1) ]

::⟶ F' = F/4

∴ The gravitational force between them reduces to F/4 when the masses of objects are halved.