In the arrangement of the first figure, we gradually pull the block from x = 0 t
ID: 1425370 • Letter: I
Question
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 = 2.0 J. We then pull the block out to x = +5.0 cm and release it from rest. 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 = -1.0 cm, and (c) x = -5.0 cm?
(a) Number Units This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3timesExplanation / Answer
when x = 3 cm, Ws = 2*(9/10) J = 1.8 J
x = 3 cm =0.03 m
use:
Ws = 0.5*k*x^2
1.8 = 0.5*k*(0.03)^2
k = 4000 N/m
a)
Ws= 0.5*K*(xf^2-xi^2)
= 0.5*4000*(0.03^2- 0.05^2)
= -3.2 J
b)
Ws= 0.5*K*(xi^2-xf^2)
= 0.5*4000*(0.01^2- 0.05^2)
= -4.8 J
c)
Ws= 0.5*K*(xi^2-xf^2)
= 0.5*4000*(0.05^2- 0.05^2)
= 0 J
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