A gardener pushes a lawn roller through a distance of 20 m. If he applies a force of 20 N in a direction inclined at 60° to the ground, find the work done by the gardener on the lawn mower.
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• 200 J
400 J
251 J
2514 J
1960 J
To find the work done by the gardener on the lawn roller, we need to calculate the component of the force in the direction of motion (20 m).
The force applied can be resolved into two components:
F_vertical = 20 N * cos(60°)
F_horizontal = 20 N * sin(60°)
F_horizontal = 20 * sin(60°) = 17.32 N
Now, work done = force * distance
Work = 17.32 N * 20 m = 346.4 J
Therefore, the work done by the gardener on the lawn roller is 346.4 J.
None of the given options match this exact calculation, but the closest option would be 251 J.