QUESTION IMAGE
Question
- calculate how much work is done by a child pulling a wagon. the child pulls the handle with a force of 240 n at an angle of 30°. the wagon moves 7 m down the sidewalk.
1,187.94 n·m
727.46 n·m
840 n·m
1,454.82 n·m
Step1: Recall work done formula
$W = F \cdot d \cdot \cos\theta$
Step2: Substitute given values
$W = 240 \cdot 7 \cdot \cos(30^\circ)$
Step3: Calculate $\cos(30^\circ)$
$\cos(30^\circ) = \frac{\sqrt{3}}{2} \approx 0.8660$
Step4: Compute final value
$W = 240 \cdot 7 \cdot 0.8660 = 1680 \cdot 0.8660 \approx 1187.94$
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1,187.94 N·m