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Question

The Centres Of Two Identical Spheres Are 1m Apart If The Gravitational Force Between The spheres be 1N, then what is the mass of each sphere? (G=6.67×10-11Nm2/kg2)


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Solution

Step 1: Given

Distance between the spheres, r=1m

Gravitational force between them, F=1N

Gravitational constant, G=6.67×10-11Nm2/kg2

Step 2: Formula used

The gravitational force between two objects is given by, F=Gm1m2r2, where m1 and m2 are the masses of the objects.

Step 2: Determine the mass of each sphere

The gravitational force between two objects is given by, F=Gm1m2r2

But as the masses are equal, we can write:

F=Gm2r2m2=1N×(1m)26.67×10-11m=1.255×105Kg

Therefore, the mass of each sphere is 1.255×105Kg.


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