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

Question

asked Nov 5, 2021 66.0k views

1 Answer

Seyid Yagmur · Answer 1 · 2021-11-12T07:15:20+0000

Answer:

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.