You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

The 'e' Equation

Two blocks ...

Question

Two blocks $A$ and $B$ of mass $m$ and $2 m$ respectively are moving towards a massive (mass $>> 2 m$ ) cliff with velocities $2 v$ and $v$ respectively. The cliff moves with a velocity $v$ . If the coefficient of restitution of collision at the surface of the cliff is $e = \frac{1}{2}$ . If the velocity of the block $B$ just after colliding with the cliff is $\frac{v}{x}$ , find the value of $x$ .

Open in App

Solution

Taking two object system Block B and cliff here mass of cliff is very large then no any momentum changed after collision of cliff.
coefficient of resistution $= \frac{v_{s e p a r a t i o n}}{v_{a p p r o a c h}}$
$\frac{1}{2} = \frac{v_{s e p a r a t i o n}}{v} v_{s e p a r a t i o n} = \frac{v}{2}$
By comparing x = 2

Suggest Corrections

Similar questions

Q. Two blocks

A

and

B

of mass

m

and

2 m

respectively are moving towards a massive (mass

>> 2 m

) cliff with velocities

2 v

and

v

respectively. The cliff moves with a velocity

v

. If the coefficient of restitution of collision at the surface of the cliff is

e = \frac{1}{2}

. Find the work done by the cliff during collision.

Q. A block of mass

m

moving at a velocity

v

collides head on with another block of mass

2 m

at rest. If the coefficient of restitution is

\frac{1}{2}

, the velocities of the blocks after the collision respectively are and .

A block of mass $m$ moving at a velocity $v$ collides head on with another block of mass $2 m$ at rest. If the coefficient of restitution is $\frac{1}{2}$ , find the velocities of the blocks after the collision.

Q. Two masses,

2 m

and

m

are moving in opposite directions, with velocities

2 v

and

v

respectively. After collision, mass

2 m

comes to rest and mass

m

moves with

3 v

. What are the kinetic energies of the two masses,

2 m

and

m

respectively after collision and the coefficient of restitution

(e)

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.

Join BYJU'S Learning Program

Taking two object system Block B and cliff here mass of cliff is very large then no any momentum changed after collision of cliff.coefficient of resistution =vseparationvapproach12=vseparationvvseparation=v2By comparing x = 2