Question

The momentum of a particle is varying with time as p=2+3t^2. the force acting on the particle at t=3 will be?

Answer 1

The momentum of a particle is varying with time as P = 2 + 3t².
we have to find the force acting on the particle at t = 3 .

we know according to Newton's 2nd law of motion, force is change in momentum per unit time. e.g., ,$\vec{F}=\frac{d\vec{P}}{dt}$

here, P = 2 + 3t²
differentiate P with respect to t,
$\frac{dP}{dt}=0+6t$

at t = 3 , $\frac{dP}{dt}_{t=3}=6\times3=18$

hence, force = $\frac{dP}{dt}_{t=3}=18N$

Answer 2

The force of a molecule is fluctuating with time as P = 2 + 3t².

We need to discover the power following up on the molecule at t = 3.

We know as per Newton's second law of movement, compel is change in force per unit time.

e.g., here, P = 2 + 3t² separate P concerning t, at t = 3, consequently, drive