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Work by a Variable Force
Worksheet
Grade Level
Calculus II
CAL2.72 Work by a Variable Force
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A tangential force along a track is T(s) = 3s
2
+ 2s + 1 pounds, where s is arc distance in feet from the start. Which setup gives the work from s = 0 to s = 6?
A
W = ∫_0
6
(3s
2
+ 2s + 1) ds, foot-pounds
B
W = ∫_0
6
(3s
2
+ 2s + 1) ds, pounds
C
W = ∫_0
6
s(3s
2
+ 2s + 1) ds, foot-pounds
D
W = T(6) - T(0), foot-pounds
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