\[\begin {array} {1 1} (a)\;\frac{2J}{p}-1 & \quad (b)\;\frac{J}{p}+1 \\ (c)\;\frac{J}{p}-1 & \quad (d)\;\frac{J}{4p}-1 \end {array}\]

Want to ask us a question? Click here

Browse Questions

Ad |

0 votes

+1 vote

Impulse on A =-Impulse on B

Impulse = change in momentum

Let $u_1$ be the initial velocity of A

$p= mu_1$

After collision let $v_1$ and $v_2$ be the velocities of A and B in the same direction.

$J= mv_2$ ---- (1)

$-J=mv_1-mu_1$

$J=mu_1-mv_1$

$J= p-mv_1$ ----(2)

$2J= p+m(v_2-v_1)$

$2J-p= m(v_2-v_1)$

$\large\frac{v_2-v_1}{u_1}$$=e$

$\qquad= \large\frac{2J-p}{p}$

$\qquad= \large\frac{2J}{p}$$-1$

Ask Question

Take Test

x

JEE MAIN, CBSE, AIPMT Mobile and Tablet App

The ultimate mobile app to help you crack your examinations

...