Question

The magnitude of change in velocity of a particle
having speed v is v during a time interval At while
moving in a uniform circular motion. The magnitude
of average force on the particle is proportional to​

Answer 1

Answer:

Explanation:

Pi×v/3t

Answer 2

The magnitude  of average force on the particle is proportional to​ the centripetal acceleration, a = v²/r

Explanation:

1. If the velocity of the particle is v, then the speed of the particle is $v$
2. The velocity is a vector having magnitude and direction.
3. The magnitude of the velocity components in the coordinate axes is equal to the speed.
4. The speed is a scalar quantity having only the magnitude.
5. So, if a particle is in uniform circular, it has a uniform centripetal speed. But, its velocity changes in time.
6. Since there is a change in velocity at each instant of time. It is in accelerated motion.
7. Hence, the force acting on the body is proportional t the centripetal acceleration, a = v²/r