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Question

Three masses 5 kg, 4 kg and 7 kg are aligned in a straight line as shown below. Find the net gravitational force on 4 kg?

A
0
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B
33.5×1011 N
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C
46.69×1011 N
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D
13.34×1011 N
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Solution

The correct option is D 13.34×1011 N
Gravitational force is an attractive force, and the directions of force for the 5 kg and 7 kg mass are shown in the diagram shown.

Using the universal law of gravitation for 4 kg and 5 kg mass, we get:
F1=GmMAd2A

Similarly,
F2=GmMBd2B

Clearly, the two forces are acting in opposite direction. So, net force will be the difference of the two forces.):
F=F2F1
F=GmMBd2BGmMAd2A
F=Gm(MBd2BMAd2A)
Subsituting values, we get:
F=6.67×1011×4×(722522)
F=13.34×1011 N

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