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Concepts Of Physics MCQ Edition [Volume 1]PhysicsCircular Motion

A person exerts a constant force F on a particle of mass m and observes that the particle travels in a circle of radius r at a uniform speed v , as viewed from an inertial frame of reference.

Options

  1. AThis scenario is impossible
  2. BThere are other forces acting on the particle
  3. CThe resultant of the additional forces is mv^2 r directed towards the centre
  4. DThe resultant of the additional forces varies in both magnitude and direction

Correct answer

D. The resultant of the additional forces varies in both magnitude and direction

Step-by-step solution

For a particle moving in a circle of radius r with uniform speed v , the net force acting on it must have a constant magnitude of mv^2 r and be directed towards the centre of the circular path. Let this net force be F _ net . Since the position of the particle continuously changes, the direction of F _ net also continuously changes. Thus, F _ net is a variable force. The person exerts a constant force F . For the particle to experience the required net force F _ net , there must be additional forces acting on it. L

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