Question

How much work is done in moving a body of mass 1.0 kg from an elevation of 2 m to

an elevation of ​

Answer 1

The work done is -176.4 J.

Step-by-step explanation:

Given that,

Mass = 1.0 kg

An elevation of 2 m to an elevation of 20 m.

Suppose, Find the work done by the gravitational field of the earth?

We need to calculate the force

Using formula of force

`F=mg`

Put the value into the formula

`F=1.0*9.8`

`F=9.8\ N`

We need to calculate the displacement

Using formula of displacement

`Displacement = s_(2)-s_(1)`

`s=20-2=18\ m`

The direction of displacement is upward.

Since gravitational force is downwards and displacement is upwards,

Then the angle is 180°.

We need to calculate the work done

Using formula of work

`W=f\cdos s\cos\theta`

`W=9.8*18\cos180`

`W=-176.4\ J`

Hence, The work done is -176.4 J.