Physics Q20 – NEET-UG 2024

Home Physics Work, Energy & PowerQuestion #652

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):

Clue 1 of 3: Definition of Power

Instantaneous power is the rate at which work is done, or the product of force and instantaneous velocity.

🧠 Full Solution Path

Step 1: Determine the instantaneous velocity✦ Active

The displacement of the particle is given by $x = 2 t - 1$ (in SI units). Instantaneous velocity $v$ is the time derivative of displacement.

v = \frac{d x}{d t} = \frac{d}{d t} (2 t - 1)

v = 2 m/s

Step 2: Calculate the instantaneous power○ Expand

The force acting on the particle is given as $F = 5 N$ . Instantaneous power $P$ is the product of force and instantaneous velocity (assuming force and velocity are in the same direction, which is implied by the scalar displacement and force).

P = F \cdot v

P = 5 N \times 2 m/s

P = 10 W

💡 Teacher's Secret Hint

Remember that power is a scalar quantity, and in this case, the force and velocity are collinear.

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Physics Question 20 – NEET-UG 2024

Clue 1 of 3: Definition of Power

🧠 Full Solution Path