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Question: A particle moves with a velocity \(6\widehat{i} - 4\widehat{j} + 3\widehat{k}m/s\)under the influenc...

A particle moves with a velocity 6i^−4j^+3k^m/s6\widehat{i} - 4\widehat{j} + 3\widehat{k}m/sunder the influence of a constant force F→=20i^+15j^−5k^N.\overset{\rightarrow}{F} = 20\widehat{i} + 15\widehat{j} - 5\widehat{k}N. The instantaneous power applied to the particle is

A

35 J/s

B

45 J/s

C

25 J/s

D

195 J/s

Answer

45 J/s

Explanation

Solution

P=F→.v→=20×6+15×(−4)+(−5)×3P = \overrightarrow{F}.\overrightarrow{v} = 20 \times 6 + 15 \times ( - 4) + ( - 5) \times 3

=120−60−15=120−75=45= 120 - 60 - 15 = 120 - 75 = 45J/s