Work Energy And Power Question 297
Question: A collision occurs between two identical balls of mass m each, moving with velocity $ {{\overrightarrow{\mu }}_1}and{{\overrightarrow{\mu }}_2} $ . If the collision is head on and the energy lost in the collision is $ \Delta E=\frac{3}{16}{{({{\vec{u}}_1}-{{\vec{u}}_2})}^{2}} $ then the coefficient of restitution is
Options:
A) 0.25
B) 0.75
C) 0.5
D) 0.9
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Energy lost in the collision is $ \Delta E=\frac{1}{2}mu^2 _{red}( 1-e^{2} ) $
$ \therefore \frac{3}{16}{{( {{{\vec{u}}}_1}-{{{\vec{u}}}_2} )}^{2}}=\frac{1}{2}mu^2 _{rel}( 1-e^{2} )\Rightarrow e=0.5 $
