Chapter 07, Problem 027 A spring and block are in the arrangement of the figure,

Question

Chapter 07, Problem 027 A spring and block are in the arrangement of the figure, when the block is pulled out to x = +4.0 cm, we must apply a force of magnitude 370 N to hold it there, we pull the block to x = 14.0 cm and then release it. How much work does the spring do on the block when the block moves from Xi = +5.0 cm to (a) x = +3.0 cm, (b) x = -3.0 cm, (c) x=-5.0 cm, and (d) x =-10.0 cm ? Block attached to sprin,g x positive r negative x negative F' Positive (a) Number (b) Number (c) Number (d) Number Units Units Units Units

Explanation / Answer

a) k = 370 / 0.04 = 9250 N/m

W = 1/2 k (xi2 - xf2)

= 1/2 * 9250 * (0.052 - 0.032) = 7.4 J

b) W = 1/2 k (xi2 - xf2)

= 1/2 * 9250 * (0.052 - (-0.03)2) = 7.4 J

c) W = 1/2 k (xi2 - xf2)

= 1/2 * 9250 * (0.052 - (0.05)2) = 0 J

d) W = 1/2 k (xi2 - xf2)

= 1/2 * 9250 * (0.052 - (-0.10)2) = -34.6 J

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