An elevator weighing 3.5 x 10^-6 N is raised to a height of 1000 m in the absence of friction, the work done is_________________?
Correct answer: A. 3.5 x 10^-3 J
- A. 3.5 x 10^-3 J
- B. 3.5 x 10^4 J
- C. 3.5 x 10^6 J
- D. 3.5 x 10^9 J
Explanation
With no friction, the work done in raising the elevator equals force times vertical distance: W = Fd = (3.5 x 10^-6 N)(1000 m) = 3.5 x 10^-3 J. The likely error is choosing 3.5 x 10^4 J by mishandling the negative power of ten.
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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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