A particle moves with a velocity v-5-3-6k- ms-1 under the influence of a constant force F-10-10-20k-N- The instantaneous power applied to the particle is

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Standard IX

Physics

Kinetic Energy

A particle mo...

Question

A particle moves with a velocity $\to v = (5^i - 3^j + 6^k) m s^{- 1}$ under the influence of a constant force $\to F = (10^i + 10^j + 20^k) N$ . The instantaneous power applied to the particle is

200 W

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320 W

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140 W

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170 W

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Solution

The correct option is C 140 W
Instantaneous power is given by the dot product of Force and the velocity.
$P = \to F \cdot \to v$
$P = (10^i + 10^j + 20^k) . (5^i - 3^j + 6^k)$
$P = 50 - 30 + 120 = 140 W$
Option C.

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