At any instant of time $t$, the displacement of any particle is given by $2 t-1$ (SI unit) under the…

At any instant of time $t$, the displacement of any particle is given by $2 t-1$ (SI unit) under the influence of force of 5 N . The value of instantaneous power is (in SI unit):
  1. 5
  2. 7
  3. 6
  4. 10

Solution

$\begin{aligned} x & =2 t-1 \\ v & =\frac{d x}{d t}=2 \mathrm{~m} \mathrm{~s}^{-1} \\ P & =F . v \\ & =2 \times 5=10 \mathrm{~W}\end{aligned}$

Asked in: NEET 2024

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