At any instant of time , the displacement of any particle is given by (SI unit) under the influence of force of 5 N. The value of instantaneous power is (in SI unit) [2024]

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Solution

Q.
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) [2024]

1 10

2 5

3 7

4 6

Ans.
(1)

Displacement of particle, $S = (2 t - 1)$ SI unit

Force, $F = 5 N$

Instantaneous power is given by, $P = \frac{d W}{d t}$

where, W is the work done on the particle.

$P = \frac{d}{d t} (\vec{F} \cdot \vec{S}) = F \cdot \frac{d S}{d t} = 5 \times \frac{d}{d t} (2 t - 1) = 5 \times 2$

$= 10$ $SI$ $Unit$

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