At any instant of time t, the displacement of any particle is given by 2t - 1 ( SI unit) under the influence of force of 5 N. The value of instantaneous power is (in SI unit): (a) 10 (b) 5 (c) 7 (d) 6

Answer: (a). x = 2t - 1 ⇒ v = dx/dt = 2 m/s. P = Fv = 5 × 2 = 10 W So the answer is (a) 10.

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Power

At any instant of time $t$ , the displacement of any particle is given by $2t - 1$ ( $\text{SI}$ unit) under the influence of force of $5\text{ N}$ . The value of instantaneous power is (in $\text{SI}$ unit):

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Answer: (a)

$x = 2t - 1 \Rightarrow v = \dfrac{dx}{dt} = 2\text{ m/s}$ .
$P = Fv = 5 \times 2 = 10\text{ W}$
So the answer is (a) 10.

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