A cyclist come to skidding stop in 10 m, the force on the cycle due to the road is 200 N and opposite to the motion. How much work does the cycle do on the road?
Correct answer: B. -2000 J
- A. 2000 J
- B. -2000 J
- C. 0 J
- D. 200 J
Explanation
The work done by the cyclist on the road can be calculated using the formula: Work = Force × Distance × cos(θ), where θ is the angle between the force and the direction of motion (180 degrees in this case, since the force is opposite to the motion). Given the force of 200 N and the distance of 10 m, the work done by the cyclist on the road would be -2000 J (joules), considering the negative sign due to the opposite direction of the force and motion.
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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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