KinematicsMedium

Question

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):

Options

A.7
B.6
C.10
D.5

Solution

Sol. [Key Concept: Kinematics/SHM from the displacement equation]

$$x = 2t - 1$$

$$\begin{matrix} v & \ = \frac{dx}{dt} = 2\text{ }m{\text{ }s}^{- 1} \\ P & \ = F.v \\ & \ = 2 \times 5 = 10\text{ }W \end{matrix}$$

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