A constant force of F = 47i + 30j moves an object along a vector D = 13i - 8j, where units are in pounds and feet. Find the work done.
Answer
A
851 foot-pounds
B
371 foot-pounds
C
-851 foot-pounds
D
851.1 foot-pounds
Explanation
Work is the dot product of the force and displacement vectors: (47)(13) + (30)(−8) = 611 − 240 = 371 foot-pounds. The correct choice is b, 371 foot-pounds.
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