Question

20 N force moving a box to 30 meters distance. How much work id done? if it takes 10 sec to do this work, how much power is used.

Answer 1

Work done = 600 J

Power used = 60 W

Step-by-step explanation:

Given:

Force acting on the box is,
`F=20\ N`

Displacement of the box is,
`S=30\ m`

Time taken for the work,
`t=10\ s`

Now, we know that, work is said to be done by a force only when there is displacement caused by the force in its direction.

Here, the force acting on the box causes a displacement of 30 m in its direction. So, work done is equal to the product of force and displacement caused.

Therefore, work done on the box is given as:

`Work=Force* Displacement\\Work=F* S\\Work=(20\ N)* (30\ m)\\Work=600\ J`

Therefore, the work done is 600 J.

Now, we know that, power is given as work done per unit time.

So, power used is given as:

`Power=(Work)/(Time)\\\\Power=(600\ J)/(10\ s)\\\\Power=60\ W`

Therefore, the power used is 60 W.