Question

A body of mass m is allowed to fall with the help of string with downward acceleration g by 6 to a distance X. The work done by the string is

Answer 1

Given: Mass of the body = m

Acceleration of the body (a) = g /6

Here, g is the gravitational acceleration.

Displacement of the string = X

Since, body is supported by string then string must have a tension (T)

Again, string is moving downward. So we will apply the equation of motion

Weight of the body - Tension in string = Acting force on the body

or, m g - T = m(g/6)

or, T = mg - m(g/6)

or, T = (5/6) mg

Now, we shall calculate the work done by the string.

W = Tension × Displacement

or, W = (5/6) mg × X

or, W = (5/6) mg X

Hence, the required work done will be (5/6) mg X

Answer 2

I hope this will help u .