Halliday, Fundamentals of Physics, 10e US Help l System Announcements (1 Unread)
ID: 1609699 • Letter: H
Question
Halliday, Fundamentals of Physics, 10e US Help l System Announcements (1 Unread) Chapter 07, Problem 029 In the arrangement of the first figure, we gradually pull the block from x 0 to x +3.0 cm, where it is stationary. The second figure gives the work that our force does on the block. The scale of the figure's vertical axis is set by Ws 1.0 J. We then pull the block out to x +7.0 cm and release it from rest. How much work does the spring do on the block when the block moves from x +7.0 cm to (a) x +3.0 cm, (b) x 2.0 cm, and (c) x 7.0 cm Block attached to spring Positive negative StudyExplanation / Answer
For x = 0 to x = 3 cm = 0.03 m
the work w = 1 J
the work done by elastic force is given by
W = - delta(U) = U1 - U2
W = (1/2 * k * x1^2) - (1/2 * k * x2^2)
W = 1/2 * k * (x1^2 - x2^2)
1 = 1/2 * k * (0.03^2)
K = 2222.22 N/m
a) x1 = 0.07 m to x2 = 0.03 m
W = 1/2 * k * (x1^2 - x2^2)
W = 1/2 * 2222.22 * (0.07^2 - 0.03^2)
W = 4.44 J
b)
x1 = 0.07 m to x2 = -0.02 m
W = 1/2 * k * (x1^2 - x2^2)
W = 1/2 * 2222.22 * (0.07^2 - (-0.02)^2)
W = 4.99 J
c)
x1 = 0.07 m to x2 = -0.07 m
W = 1/2 * k * (x1^2 - x2^2)
W = 1/2 * 2222.22 * (0.07^2 - (-0.07)^2)
W = 0 J
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