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Question

Two forces F1 = (7i + 2j) N and F2 = (-5i + 3j) N act on a particle. The third force F3 that should act on the particle to make it move with constant velocity is a) (2i + 5j) N b) (-2i – 5j) N c) (–2i + 5j) N d) (2i – 5j) N

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Solution

For the body to move with constant velocity, accleleration should be zero.
That is net force should be zero.
Net force= F1+F2= (7i + 2j) N + (-5i + 3j) N =(2i + 5j) N
The force should be equal and opposite .
Therefore (-2i – 5j) N option (b)

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