Given:
The applied force on the lawn mower is,
[tex]F=199\text{ N}[/tex]38% of the force is directed horizontally.
The displacement of the lawn-mower is
[tex]d=6.1\text{ m}[/tex]To find:
The work done by the man
Explanation:
The horizontal force on the lawn mower is,
[tex]\begin{gathered} F_H=F\times38\text{ \%} \\ =199\times\frac{38}{100} \\ =75.6\text{ N} \end{gathered}[/tex]The work is,
[tex]\begin{gathered} W=F_H\times d \\ =75.6\times6.1 \\ =461.2\text{ J} \end{gathered}[/tex]Hence, the work is 461.2 J.