A force of (10 i - 3 j + 6k) N acts on a body of mass 100 g and displaces it from m to (6 i + 5 j - 3k) m to (10 i - 2 j + 7 k)m. The work done is
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Answer:
Assuming positions given were in meters, work is 121 Joules.
Step-by-step explanation:
Work equals the dot product of force and displacement. W=F∙d
Force is given as 10i−3j+6k
Displacement is calculated from the final position minus the initial position.
d=(10i−2j+7k)−(6i+5j−3k)=4i−7j+10k
To learn how to calculate the dot product, use:
W=(10i−3j+6k)∙(4i−7j+10k)
W=(10∗4)+((−3)∗(−7))+(6∗10)=40+21+60=121
Assuming positions given were in meters, work is 121 Joules.
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