First slide

Power

Question

Velocity of a particle of mass I kg moving rectilinearly is given by , v = 25- 2t + t². Find the average power of the force acting on the particle between time interval t = 0 to t = 1 sec.

Moderate

A

49W
B

24.5W
C

- 49W
D

- 24.5W

Solution

Average power, $P_{av} = \frac{ΔKE}{Δt} = \frac{\frac{1}{2} m (v^{2} - u^{2})}{Δt}$
Here, u = 24 m/s, u = 25 m/s, $∆ t$ = 1s
Therefore, $P_{av} = \frac{1}{2 \times 1} (24^{2} - 25^{2}) W = - 24 .5 W$

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