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Q.

A particle moves with a velocity 6i^−4j^+3k^ m/s under the influence of a constant force F→ = 20i^+15j^−5k^ N. The instantaneous power applied to the particle is

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a

45 J/s

b

195 J/s

c

25 J/s

d

35 J/s

answer is B.

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Detailed Solution

P = F→.v→ = 20×6+15×−4+−5×3

= 120-60-15 = 120-75 = 45 J/s

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A particle moves with a velocity 6i^−4j^+3k^ m/s under the influence of a constant force F→ = 20i^+15j^−5k^ N. The instantaneous power applied to the particle is