NEET Physics Question - Laws of Motion - Linear Momentum and Second Law of Motion

The momentum of a particle is P = 2cos tˆi + 2sin t ˆj. What is the angle between the force F acting on the particle and the momentum P ?

45°

90°

135°

180°

Momentum of object is given as, P = 2cos tˆi + 2sin t ˆj ,

From Newtons Second law, F = dP/dt = -2 sin t î + 2 cos t ˆj.

Taking Dot product of P and F we get = -4 sint . cos t + 4 sint .cost =0 .

So, force and momentum are perpendicular to each other.

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