A gardener pushes a lawn roller on a rough surface. He applies a force of 150 N over a distance of 5 m. After he gets tired and his applied force reduces linerly with distance to 75 N. The total distance moved is 10 m. Plot the force applied by the gardencer and the frictional force, which is 75 N versus displacement. Calculate the work done by t he two forces over 10 m.

Explanation

To solve the problem step by step, we will calculate the work done by the gardener and the frictional force separately and then plot the forces against displacement.

### Step 1: Understand the Forces Involved
- The gardener applies a force of 150 N for the first 5 m.
- The force then decreases linearly to 75 N over the next 5 m.
- The frictional force is constant at 75 N throughout the 10 m.

### Step 2: Plot the Forces
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