QuestionMay 4, 2026

A man pulls a vacuum forward 13.6 m with a force of 33.9 N at a 55.0^circ angle. How much work is being done to the vacuum by the man? W=[?]J

A man pulls a vacuum forward 13.6 m with a force of 33.9 N at a 55.0^circ angle. How much work is being done to the vacuum by the man? W=[?]J
A man pulls a vacuum forward 13.6 m with a force of 33.9 N at a 55.0^circ angle. How much work is being done to the vacuum by the man? W=[?]J

Solution
3.8(314 votes)

Answer

264.3\ \text{J} Explanation 1. Apply work formula Work is given by W = F \cdot d \cdot \cos\theta for force applied at an angle. 2. Substitute values W = 33.9 \times 13.6 \times \cos 55.0^\circ 3. Calculate \cos 55^\circ \approx 0.5736, so W = 33.9 \times 13.6 \times 0.5736 \approx 264.3

Explanation

1. Apply work formula<br /> Work is given by $W = F \cdot d \cdot \cos\theta$ for force applied at an angle.<br />2. Substitute values<br /> $W = 33.9 \times 13.6 \times \cos 55.0^\circ$<br />3. Calculate<br /> $\cos 55^\circ \approx 0.5736$, so <br />$W = 33.9 \times 13.6 \times 0.5736 \approx 264.3$
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