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Question

The mass of two bodies is doubled and the distance is halved, how will the gravitational force change?


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Solution

STEP 1

The gravitational force between two objects is given by

F=GMm/r2Where,G=GravitationalconstantM=Massofobject1m=Massofobject2r=Distancebetweenthetwoobject.

STEP 2 Given:

Massofobject1=2MMassofobject2=2mDistancebetweenthem=r/2F=G2M2m/r/22F=4GMm/r2/4F=16GMm/r2

Hence, the new gravitational force will be sixteen times the initial force.


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