Work done will be zero if angle between force and displacement is:
Correct answer: C. 270°
- A. 0°
- B. 60°
- C. 270°
- D. 360°
Explanation
The formula for work done is displacement multiplied by the force in the direction of the displacement thus we incorporate the angle between the force and the displacement given the directions of the two vectors don't align. The formula transforms to 'Displacement times Force Cos (X)' where X is the angle between the force and the displacement. If the force is perpendicular to the displacement, it won't have any influence on the displacement making the work done zero because cos 90 or cos 270 equals zero.
This question appeared on the UHS MDCAT 2017 paper, which you can sit online with every answer explained.
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About Work
Work is done when a force produces displacement, with its value determined by the component of force along the displacement. The topic covers positive, negative and zero work, work by variable forces from force-displacement graphs, and the connection between net work and change in kinetic energy.
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