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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
Zero
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B
33.5 × 1011 N
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C
46.69 × 1011 N
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D
13.19 × 1011 N
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Solution

The correct option is D 13.19 × 1011 N
As gravitational force is an attractive force, the 5 kg and 7 kg masses attract the 4 kg mass in opposite directions.
So, the net force is the subtraction of the two forces acting on the 4 kg mass.

The gravitation force due to 5 kg on 4 kg is:
F1=GmMd2 =6.67×1011×4×522
=33.5×1011 N (The direction of force is towards 5 kg mass).

The gravitational force due to 7 kg on 4 kg:
F2=GmMd2 =6.67×1011×4×722
 = 46.69 × 1011 N (The direction of force is towards 7 kg mass).
Since, the force on 4 kg masses due to 5 kg mass is opposite to the force due to 7 kg on 4 kg mass. The net force is the subtraction of both the forces.
Net force on 2 kg mass = (46.6933.5)× 1011N = 13.19× 1011 N.

Physics

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