Question

A gardener pushes a wheelbarrow around the edges of a lawn. When she has finished, she is 5 m from her starting point. She has to pull upwards with a force of 300 N to lift the legs of the wheelbarrow off the ground. She pushes the wheelbarrow along the ground with a force of 100 N. Calculate how much work the gardener does in pushing the wheelbarrow around the lawn.

Answer 1

Work done by the gardner is 500 J

Step-by-step explanation:

As we know that the gardner apply force perpendicular upward by magnitude 300 N and along the floor horizontal force is 100 N

so we have

`F = 100 \hat i + 300 \hat j`

now the displacement of the gardner along the floor is

`d = 5\hat i`

now work done is given as

`W = F. d`

so we have

`W = (100 \hat i + 300 \hat j). (5\hat i)`

`W = 500 J`