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wo bodies ‘P’ and ‘Q’ having masses m1 and m2, when separated by a distance d1 exert aforce ‘F’ on each other. What happens whena) masses of both are doubled.b) distance between two bodies is reduced to half.c) the space between the two objects has no air and is complete vacuum

Question

wo bodies ‘P’ and ‘Q’ having masses m1 and m2, when separated by a distance d1 exert aforce ‘F’ on each other. What happens whena) masses of both are doubled.b) distance between two bodies is reduced to half.c) the space between the two objects has no air and is complete vacuum

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Solution

a) If the masses of both bodies are doubled, the force of gravity between them will quadruple. This is because the force of gravity is directly proportional to the product of the two masses (F = G * (m1*m2)/d^2). So if both masses are doubled, the force of gravity will be 4 times greater.

b) If the distance between the two bodies is reduced to half, the force of gravity between them will increase by a factor of four. This is because the force of gravity is inversely proportional to the square of the distance between the two bodies. So if the distance is halved, the force of gravity will be (1/(1/2)^2) = 4 times greater.

c) The presence or absence of air (or any other matter) between the two bodies does not affect the gravitational force between them. This is because gravity is a fundamental force that acts through empty space. It does not require a medium to transmit the force. So the force of gravity between the two bodies will remain the same whether there is air between them or a vacuum.

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