Question

A man pushes a lawn mower on a level lawn with a force of 195 N. If 37% of this force is directed downward, how much work is done by the man in pushing the mower 5.7 m?

Answer 1

`W = 1032.6 J`

Step-by-step explanation:

Net force by which man push the lawn mower is given as

`F = 195 N`

now it is given that 37% of this force is vertically downwards

so we will have

`F_y = 0.37 * 195`

`F_y = 72.15 N`

now we also know that

`F_x^2 + F_y^2 = F^2`

here we have

`F_x^2 + 72.15^2 = 195^2`

`F_x = 181.2 N`

Now work done by this force to move the lawn mower is given as

`W = F_x . d`

`W = (181.2)(5.7 m)`

`W = 1032.6 J`