Question

1. calculate the total work done.

Explanation:

Step1: Calculate work for 0-2m (rectangle)

Work = Force × Displacement = $3 \times 2 = 6$ J

Step2: Calculate work for 2-5m (triangle)

Work = $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 3 \times 3 = 4.5$ J

Step3: Calculate work for 5-7m (rectangle, negative)

Work = $(-1) \times 2 = -2$ J

Step4: Sum all work values

Total Work = $6 + 4.5 - 2$

Answer:

8.5 J