stant 600 N. As she steps onto the scale, the force pushing down on the top of the spring varies from 0 to 600 N, with an average value of 300 N, as it is compressed 0.010 m. The total work done on the spring is the average force (300 N) multiplied by the displacement (0.010 m), or 3.0 J. Suppose we want to modify the scale to permit a weight of 800 NN when the spring is compressed 1.5 cmcm. What should the force constant of the spring be?

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The force of gravity is the woman’s weight, a constant 600 N. As she steps onto the scale, the force pushing down on the top of the spring varies from 0 to 600 N, with an average value of 300 N, as it is compressed 0.010 m. The total work done on the spring is the average force (300 N) multiplied by the displacement (0.010 m), or 3.0 J.

Suppose we want to modify the scale to permit a weight of 800 NN when the spring is compressed 1.5 cmcm. What should the force constant of the spring be?
 
We have chosen the positive x direction to
be straight up, so both the weight of the
woman and the displacement of the spring
are in the-x direction. Therefore the
work on the spring is positive.
+x
www
1.0 cm
F₂<0
www
Transcribed Image Text:We have chosen the positive x direction to be straight up, so both the weight of the woman and the displacement of the spring are in the-x direction. Therefore the work on the spring is positive. +x www 1.0 cm F₂<0 www
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