Question

If a small machine does 2,500 joules of work on an object to move it a distance of 100 meters in 10 seconds , what is the force needed to do the work? What is the power of the machine doing the work?

Answer 1

`25` `N`; `250` `W`.

Explanation:

We know,

`"Work Done" = "Force" xx "Displacement" xx cos("The angle between Force and Displacement")`

So, Let's Assume the Force to be `x` Newtons.

So, According to The Sum,

`color(white)(xxx)x * 100 = 2500`

`rArr x = (25cancel(00))/(1cancel(00)) = 25`

So, The force was `25` `N`.

And, We also know,

`"Power" = "Work Done"/"Time"`

So,

The Power of the Machine = `2500/10` Watts

`color(white)(xxxxxxxxxxxxxxxx)= 250` Watts

Hence Explained.