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23 Nov 2019

In the figure below, we must apply a force of magnitude 95 N tohold the block stationary at x = -2.0 cm. From that position wethen slowly move the block so that our force does +3.2 J of work onthe spring-block system; the block is then again stationary. Whatis the block's position (x)? (There are two answers.)
1Your answer is incorrect. cm (smaller value)
2Your answer is incorrect. cm (larger value)

The spring constant is the ratio of the force magnitude to thestretch. Work by a spring force (which is a variable force) isequal to the integration of the force from the initial position tothe final position. It is not equal to the product of force anddisplacement. Instead the integration yields the difference in theterm 0.5kx2 between the initial and final positions.

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