First slide

Power

Question

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

Easy

A

35 J/s
B

45 J/s
C

25 J/s
D

195 J/s

Solution

Power P = F.v
$\begin{array}{l} ∴ P = (20 i + 15 j - 5 k) \cdot (6 i - 4 j + 3 k) \\ = (20 \times 6) - (15 \times 4) - (5 \times 3) \\ = 45 J / s \end{array}$

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