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A particle moves with a velocity $6 \hat{i} - 4 \hat{j} + 3 \hat{k} m / s under the influence of a constant force \vec{F} = 20 \hat{i} + 15 \hat{j} - 5 \hat{k} N .$ The instantaneous power applied to the particle is

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45 J/s

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195 J/s

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detailed solution

Correct option is B

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

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A particle moves with a velocity $6 \hat{i} - 4 \hat{j} + 3 \hat{k} m / s under the influence of a constant force \vec{F} = 20 \hat{i} + 15 \hat{j} - 5 \hat{k} N .$ The instantaneous power applied to the particle is