Home
Class 11
PHYSICS
A particle of mass m, collides with anot...

A particle of mass m, collides with another stationary particle of mass M. If the particle m stops just after collision, then the coefficient of restitution for collision is equal to

A

1

B

`m/M`

C

`(M-m)/(M+m)`

D

`m/(M+m)`

Text Solution

Verified by Experts

The correct Answer is:
B
As net horizontal force acting on the system is zero, hence, momentum must remain conserved.
Hence, `mu + 0 = 0 +Mv_(2)`
As per definition, `e = |(v_(2)-v_(1))|/|(u_(2)-u_(1))| = |(v_(2)-0)/(0-u)|`
`v_(2)/u= (mu)/(M)/u = m/M`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS

    DC PANDEY|Exercise Match the coloumns|9 Videos

  • CALORIMETRY AND HEAT TRANSFER

    DC PANDEY|Exercise Medical entrance s gallery|38 Videos

  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY|Exercise Comprehension type questions|15 Videos

Similar Questions

Explore conceptually related problems

A smooth wedge of mass M is kept at rest on a smooth horizontal surface . Inclined face of the wedge make an angle theta with the horizontal . A particle of mass m collides normal to inclined face of wedge . If speed of the particle just before collision is u and coefficient of restitution is e then find velocity of wedge after collision .

A particle of mass m collides with a stationary particle of mass M and deviates by an angle of 60°. After collision mass M recoils at an angle 30° to the original direction of motion of m. If there is no loss in kinetic energy in the collision, the ratio of m/M is _________.

Knowledge Check

  • A particle of mass m collides with another stationary particle of mass M such that the second particle starts moving and the first particle stops just after the collision. Then which of the following conditions must always be valid ?

    A
    `m/Mle1`
    B
    `m/M=1`
    C
    `e=1`
    D
    `ele1`

  • A particle of mass m_(1) collides head on with a stationary particles of mass m_(2) . If (m_(1))/(m_(2)) gte, where e is the coefficient of restitution, then :

    A
    `m_(1)` will retrun back
    B
    `m_(1)` will move in same direction
    C
    `m_(1)` will stop
    D
    unpredictable

  • A particle (A) of mass m_(1) elastically collides with another stationary particle (B) of mass m_(2) . Then :

    A
    `(m_(1))/(m_(2)) = (1)/(2)` and the particles fly a part in the opposite direction with equal velocities.
    B
    `(m_(1))/(m_(2)) = (1)/(3)` and the particles fly apart in the opposite direction with equal velocities.
    C
    `(m_(1))/(m_(2)) = (2)/(1)` and the collision angle between the particles is `60^(@)` symmetrically.
    D
    `(m_(1))/(m_(2)) = (2)/(1)` and the particles fly apart symmetrically at an angle `90^(@)`

    • Similar Questions

    Explore conceptually related problems

    An object of mass m moving with speed u collides one dimentionally with another identical object at rest. Find their velocities after collision, if coefficient of restitution of collision is e.

    A ball of mass m collides with a stationary wedge of mass M , perpendicular to its inclined face, inclined at an angle as shown in the figure. If the coefficient of restitution between the wedge and ball is e , calculate the ratio of modulus of velocity of the ball immediately after and before collision. Also calculate the velocity of wedge just after collision.

    A block of mass m moving at speed upsilon collides wilth another block of mass 2 m at rest. The lighter block comes to rest after the collision. Find the coefficient of restitution.

    A moving block having mass m , collides with another stationary block having mass 4m . The lighter block comes to rest after collision. When the initial velocity of the block is v , then the value of coefficient of restitution ( e) will be

    Statement I. A particle strikes head-on with another stationary particle such that the first particle comes to rest after collision. The collision should necessarily be elastic. Statement II: In elastic collision, there is no loss of momentum of the system of the particles.

    Home
    Profile