Question

A 3 kg ball moving to the right at 4 m/sec collides with a 4 kg ball moving to the right at 2 m/sec. Find the final velocities of the balls in m/sec if the coefficient of restitution is 0.6

• A. $2.2,3.4$
• B. $1,2$
• C. $4,5$
• D. $6,8$

Answer 1

The correct option is A $2.2,3.4$

Momentum conservation,

$3\times 4+4\times 2=3v_1+4v_2$

$20=3v_1+4v_2$

$e=\frac{v_2-v_1}{2}$

$v_2-v_1=1.2$

$7v_2=23.6$

$v_2=3.4m/s$

$v_1=2.2m/s$