Q. A particle rotating in a circular track with uniform speed. Which of the following is true?
A) Remains in equilibrium due to centripetal and centrufugal force balancing each other.
B) Has a uniform acceleration.
C) Has a constant momentum,as the net force on the particle is zero.
D) Has constant kinetic energy,as no work is done on the particle.
A particle is going around in a circular track with uniform speed.
The centripetal force of the particle is provided by its rotation in a circular orbit. There is a constant force acting on the particle, the net force is not 0.
The acceleration of the particle is not constant. It is given by a = v^2/r where v is the speed of the particle and r is the radius of its motion. The direction of acceleration is towards the center and constantly changing.
Momentum is the product of mass and velocity, as the direction of the particle's velocity is changing constantly, momentum is not constant.
The kinetic energy of the particle is (1/2)*m*v^2. This is a constant.
Only option D is true.