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 5N. The value of instantaneous power is (in SI unit):

• A. 10
• B. 5
• C. 7
• D. 6

Answer 1

The Correct Option is A

Solution:

Step 1: Calculate the velocity:

The velocity v(t) is the time derivative of displacement: 
v(t) = dx/dt = d(2t - 1)/dt = 2 m/s 
Hence, the velocity is constant at 2 m/s.

Step 2: Calculate the instantaneous power:

Instantaneous power P is given by the formula: 
P = F * v(t) 
where F is the force, and v(t) is the velocity. 
Substituting the given values: 
P = 5 N * 2 m/s = 10 W 
Hence, the value of instantaneous power is 10 W.

Answer:

The value of instantaneous power is 10 W, which corresponds to Option 1.