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A gardener pushes a lawn roller through a distance of 20m if he applies a force of 20kg weight in a direction inclined at 70 degree to ground find the work done by himG=9.8m/s^2

A Gardener Pushes A Lawn Roller Through A Distance Of 20m If He Applies A Force Of 20kg Weight In A Direction Inclined At 70 Degree To Ground Find The Work Done class=

Sagot :

The total force applied to the roller can be obtained as,

[tex]\begin{gathered} F=(20\text{ kg-wt)(}\frac{9.8\text{ N}}{1\text{ kg-wt}}) \\ =196\text{ N} \end{gathered}[/tex]

The work done by the gardner can be given as,

[tex]W=Fd\cos \theta[/tex]

Substitute the known values,

[tex]\begin{gathered} W=(196N)(20m)(\frac{1\text{ J}}{1\text{ Nm}})cos70^{\circ} \\ =(3920\text{ J)(}0.342) \\ =1340.64\text{ J} \end{gathered}[/tex]

Thus, the work done by the gardener is 1340.64 J.

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