Kinematics Question 270
Question: A particle moves with a velocity $ 6\hat{i}-4\hat{j}+3\hat{k}m/s $ under the influence of a constant force $ \overrightarrow{F}=20\hat{i}+15\hat{j}-5\hat{k}N. $ The instantaneous power applied to the particle is [CBSE PMT 2000]
Options:
A) 35 J/s
B) 45 J/s
C) 25 J/s
D) 195 J/s
Correct Answer: B $ P=\vec{F}.\vec{v}=20\times 6+15\times (-4)+(-5)\times 3 $ $ =120-60-15=120-75=45 $ J/s
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