Question

A 47-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 37 degrees above the horizontal. If the tension in the rope is 142 N, how much work is done on the crate to move it 6.1m?

Answer 1

Work done on the crate is given by

`W = Fd cos\theta`

here we have

`F = 142 N`

`d = 6.1 m`

`\theta = 37 degree`

now we have

`W = Fdcos37`

`W = 142 * 6.1 * cos37`

`W = 691.8 J`

So it require 691.8 J work to slide the block across horizontal floor