Question

A man pushes a lawn mower on a level lawn with a force of 199 N. If 38% of the force is directed horizontally, how much work is done by the man in pushing the mower 6.1 m? answer in:____J

Answer 1

Given:

The applied force on the lawn mower is,

`F=199\text{ N}`

38% of the force is directed horizontally.

The displacement of the lawn-mower is

`d=6.1\text{ m}`

To find:

The work done by the man

Step-by-step explanation:

The horizontal force on the lawn mower is,

`\begin{gathered} F_H=F*38\text{ \%} \\ =199*(38)/(100) \\ =75.6\text{ N} \end{gathered}`

The work is,

`\begin{gathered} W=F_H* d \\ =75.6*6.1 \\ =461.2\text{ J} \end{gathered}`

Hence, the work is 461.2 J.