A block of mass m moving with speed v collides with another block of mass $2$ m at rest. The lighter block comes to rest after the collision. The coefficient of restitution is?

Open in App

Solution

Linear momentum will be conserved: $m v + 2 m \times 0 = 2 m u + m \times 0$

$\Rightarrow u = \frac{v}{2}$

Coefficient of restitution $e = \frac{r e l a t i v e v e l o c i t y o f s e p a r a t i o n}{r e l a t i v e v e l o c i t y o f a p p r o a c h}$

$= \frac{v / 2}{v} = \frac{1}{2}$

Suggest Corrections

Similar questions

Q. A block of mass

m

moving at a speed

v

collides with another block of mass

2 m

at rest. The lighter block comes to rest after collision. What is the coefficient of restitution.

Q. A ball of mass

m

moving at a speed

v

collides with another ball of mass 3m at rest. The lighter block comes to rest after collision. The coefficient of restitution is-

Q. A block of mass

m

moving at a velocity

v

collides with another block of mass

2 m

at rest. The lighter block comes to rest after collision. Find the coefficient of restitution.

Q. A block of mass

m

moving at a speed

v

collides with another block of mass

3 m

at rest. If the light block comes to rest after collision, the coefficient of restitution is :

A block of mass m moving with speed v collides with another block of mass 2 m at rest. The lighter block comes to rest after collision. The value of coefficient of restitution is

Join BYJU'S Learning Program

A block of mass m moving with speed v collides with another block of mass 2m at rest. The lighter block comes to rest after the collision. The coefficient of restitution is?

Linear momentum will be conserved: mv+2m×0=2mu+m×0⇒u=v2Coefficient of restitution e=relativevelocityofseparationrelativevelocityofapproach=v/2v=12

A block of mass m moving with speed v collides with another block of mass $2$ m at rest. The lighter block comes to rest after the collision. The coefficient of restitution is?

Linear momentum will be conserved: $m v + 2 m \times 0 = 2 m u + m \times 0$

$\Rightarrow u = \frac{v}{2}$

Coefficient of restitution $e = \frac{r e l a t i v e v e l o c i t y o f s e p a r a t i o n}{r e l a t i v e v e l o c i t y o f a p p r o a c h}$

$= \frac{v / 2}{v} = \frac{1}{2}$