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
- AThis scenario is impossible
- BThere are other forces acting on the particle
- CThe resultant of the additional forces is mv^2 r directed towards the centre
- 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