Question

velocity v of a particle of mass m moving along x axis is given by v = b root x where b is constant find work done by force acting on particles during its motion from x=0 to x=4m​

Answer 1

Answer:

Explanation:

Given:

Mass of object = M

Velocity function wrt displacement is as follows :

v = b√x

To find:

Work done during the motion

Concept:

As per Work-Energy Theorem, we can say that the total work done by all the forces will be equal to change in Kinetic Energy in that reference frame.

Calculation:

So Kinetic energy function wrt to displacement :

Now Kinetic energy at x = 0 :

Now Kinetic energy at x = 4 m

So work done is change in KE :

So final answer :

2mb^2