Given:
The man pushes the lawn mower with the force of
![F=192\text{ N}](https://img.qammunity.org/2023/formulas/physics/college/d32bih8ouedw1azzqpatbcrx25dlcz7fhn.png)
The forward-directed force is,
![28\text{ \%}](https://img.qammunity.org/2023/formulas/mathematics/college/pvw6kfu3jk4rzmk82nm1osn1wwwu6z52zq.png)
The mower moves
![d=7.2\text{ m}](https://img.qammunity.org/2023/formulas/physics/college/gsz31ohawptialeu673vt8da183eei5bp6.png)
To find:
The work done by the man
Step-by-step explanation:
The force in the forward direction is,
![\begin{gathered} F^(\prime)=F*28\text{ \%} \\ =192*(28)/(100)\text{ N} \\ =53.8\text{ N} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/g8ccfi48l7qkahei2sti175rp7za1w9cv3.png)
The work in moving the lawn mower is,
![\begin{gathered} W=F^(\prime)d \\ =53.8*7.2 \\ =387.4\text{ J} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/tdivq9yxo41ei00480kelza1rrwyk64hji.png)
Hence, the work done by the man in pushing the mower 7.2 m is 387.4 N.