Momentum p (in kg m / s ) of a particle is varying with time t (in s ) as p=2+3 t^2 . force acting o

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4-1.Newton's Laws of Motion

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The momentum $p$ (in $kg m / s )$ of a particle is varying with time $t$ (in $s )$ as $p=2+3 t^2$. The force acting on the particle at $t=3 s$ will be ......... $N$

A

$18$

B

$54$

C

$9$

D

$15$

Solution

(a)

Given,

$p =2+3 t ^2$

From Newton's second law,

$F=\frac{d p}{d t}$

$F =\frac{ d \left(2+3 t ^2\right)}{ dt }$

$F =0+6 t =6 t$

At $t =3 s$

$F =6 \times 3=18\,N$

Standard 11

Physics

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