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While two forces act on it, a particle is to move at the constant velocity v = (3 m/s) - (4 m/s) . One of the forces is F1 = (3 N) + (- 4 N) . What is the other force?

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Final answer:

The other force acting on the particle, which maintains its constant velocity, is the negative of the first force, resulting in a net force of zero.

Step-by-step explanation:

Since the particle moves with a constant velocity, according to Newton's First Law of Motion, the net force acting on the particle must be zero. Therefore, the sum of all forces acting on the particle should be zero. Given one of the forces as F1 = (3 N)Î + (- 4 N)Ĵ, the other force must be exactly opposite to it in magnitude and direction in order for the particle to have no acceleration. Thus, the second force, F2, is -F1, which equates to (-3 N)Î - (+4 N)Ĵ.

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