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Question

Three masses 5kg, 2 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

33.5×10-11 N

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C

46.69×10-11 N

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D

13.19×10-11  N

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Solution

The correct option is D

13.19×10-11  N


5 Kg and 7 Kg masses attract the 4Kg mass in opposite direction.So, the the net force is subtraction. The gravitational force due to 5 Kg on 4 Kg is:

F = GmMd2

F = 5×G = 33.5×1011 N ( The direction of force is towards 5 Kg mass)

The gravitational force due to 7 kg on 4 Kg :

F = GmMd2

F = 7×G = 46.69×1011 N (the direction of force is towards 7 Kg mass)

Since the force on 2 Kg mass due to 5 kg mass is opposite to the force due to 7 kg on 2 kg mass. The net force is the subtraction of both forces.

Net force on 2 Kg mass = (46.69 - 33.5)× 1011​N = 13.19×1011​​ N


Physics

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