Question

A particle moves along horizontal circle with constant speed of 'a' acceleration and 'E' is kinetic energy
A) a is uniform
B) E is constant
C) a is non uniform
D) E is variable​

Answer 1

Answer:

If an object is moving in a horizontal circle at constant speed, the centripetal force does not do work and cannot alter the total mechanical energy of the object. For this reason, the kinetic energy and therefore, the speed of the object will remain constant.

Answer 2

If a body is moving along a horizontal circle with constant speed, then kinetic energy(E) of the particle is constant and the acceleration(a) is uniform

• Even though the particle has constant speed, centripetal acceleration will act on the body because of the chane in direction of the velocity vector.
• The magnitude of centripetal acceleration will be directly proportional to v². So the magnitude of acceleration will be constant.

                                             $a_{c}\propto \frac{v^2}{r}$

• As the direction of the velocity vector is changing at a uniform rate, the acceleration will be uniform and directed towards the object at any instant

• Kinetic energy of a particle depend on the velocity of particle. If velocity is constant, then kinetic energy will also be a constant

                                               $E=\frac{1}{2}mv^2$