A worker pulls a crate with a constant horizontal force of

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

A worker pulls a crate with a constant horizontal force of 200 N200\,\text{N}. In the first case he drags the crate straight for 4 m4\,\text{m}. In the second case he drags it along a 6 m6\,\text{m} curved path that begins and ends at the same two points as before. Neglect friction. Which statement about the work done by the worker is correct? (a) The work is the same in both cases because the displacement between the starting and ending points is the same. (b) The work is 1200 J1200\,\text{J} along the curved path and 800 J800\,\text{J} along the straight path since work equals force times distance travelled. (c) More work is done along the curved path because the worker spends a longer time pulling the crate. (d) Less work is done along the curved path because the continual change in direction makes the pull partly sideways and therefore less effective.

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