Question

The figure shown a ball striking the floor at an angle $\alpha$ with speed $u$ and rebounds at an angle $\beta$ from the floor with speed $v$. The value of co-efficient of restitution (e) is

• A. $\frac{v}{u}$
• B. $\frac{u}{v}$
• C. $\frac{vsin\beta }{u\sin \alpha }$
• D. $\frac{v\sin \beta }{u\cos \alpha }$

Answer 1

The correct option is C $\frac{vsin\beta }{u\sin \alpha }$

e= $\frac{Velocityofseparation}{Velocityofapproach}$.

Since there is no force acting in horizontal direction, velocity taken in equation will be of normal to floor,

So e=$\frac{vsin\beta }{usin\alpha }$