Question Details

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

Options

A

10

B

5

C

7

D

6

Show Answer

Correct Answer :

Option A

10

10

Solution :

We are given that the displacement of a particle at time  is

s(t)=2t-1 (metres).

The instantaneous velocity is the time derivative of the displacement:

v=ds/dt=2 (metres per second).

The instantaneous power supplied by a constant force  is the product of the force and the instantaneous velocity:

P=F×v=5×2=10 (watts).

Therefore, the instantaneous power at any time  is 10 W.

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