Two billiard balls of same size and mass...

Two billiard balls of same size and mass are in contact on a billiard table. A third ball of same mass and size strikes them symmetrically and remains at rest after the impact. Find the coefficient of restitution between the balls?

`(1)/(2)`

`(1)/(3)`

`(2)/(3)`

`(3)/(4)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

CENTRE OF MASS, IMPULSE AND MOMENTUM
DC PANDEY ENGLISH|Exercise Only one option is correct for JEE Advanced|60 Videos
CENTRE OF MASS, IMPULSE AND MOMENTUM
DC PANDEY ENGLISH|Exercise More a than one option is Correct|1 Videos
CENTRE OF MASS
DC PANDEY ENGLISH|Exercise Medical entrances gallery|27 Videos
CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION
DC PANDEY ENGLISH|Exercise Level 2 Subjective|21 Videos

Similar Questions

Explore conceptually related problems

Two identical billiard balls are in contact on a table. A third identical ball strikes them symmetrically and comes to rest after impact. The coefficient of restitution is :

If the collision of a ball of mass m is inelastic, then the relation between theta and alpha is (where theta is the coefficient of restitution)

Two equal spheres B and C , each of mass m , are in contact on a smooth horizontal table. A third sphere A of same size as that of B or C but mass m//2 impinges symmetrically on them with a velocity u and is itself brought to rest. The coefficient of restitution between the two spheres A and B (or between A and C ) is

Ball 1 collides directly with another identical ball 2 at rest. Velocity of second ball becomes two times that of 1 after collison. Find the coefficient of restitution between the two balls?

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 collisoin. The coefficient of restitution is

A ball of mass m moving at a speed v makes a head-on collision with an identical ball at rest. The kinetic energy of the balls after the collision is three fourths of the original. Find the coefficient of restitution.

A ball is dropped on a smooth inclined plane and is observed to move horizontally after the impact. The coefficient of restitution between the plane and ball is e. The inclination of the plane is

A ball of negligible size and mass m is given a velocity v_0 on the centre of the cart which has a mass M and is originally at rest. If the coefficient of restitution between the ball and walls A and B is e. Determine the velocity of the ball and the cart just after the ball strikes A. Also, determine the total time needed for the ball to strike A, rebound, then strike B, and rebound and then return to the centre of the cart. Neglect friction.

A ball of mass m moving at a speed v makes a head on inelastic collision with an identical ball at rest. The kinetic energy of the balls after the collision is 3/4th of the original. Find the coefficient of restitution.

DC PANDEY ENGLISH-CENTRE OF MASS, IMPULSE AND MOMENTUM-Comprehension type questions

Two billiard balls of same size and mass are in contact on a billiard ...
Text Solution
|
Comprehension # 1 If net force on a system in a particular direction...
Text Solution
|
Comprehension # 1 If net force on a system in a particular direction...
Text Solution
|
Comprehension # 1 If net force on a system in a particular direction...
Text Solution
|
Comprehension # 1 If net force on a system in a particular direction...
Text Solution
|
Comprehension # 2 When two bodies collide normally they exert equal ...
Text Solution
|
Comprehension # 2 When two bodies collide normally they exert equal ...
Text Solution
|
Two identiacal masses are as shown in figure. One is thrown upwards wi...
Text Solution
|
Two identiacal masses are as shown in figure. One is thrown upwards wi...
Text Solution
|
Two identical masses are as shown in figure. One is thrown upwards wit...
Text Solution
|
Comprehension # 4 When the mass of a system is variable, a thrust fo...
Text Solution
|
Comprehension # 4 When the mass of a system is variable, a thrust fo...
Text Solution
|
A car has total mass 50 kg. Gases are ejected from this car backwards ...
Text Solution
|
Acceleration of two identical particles moving in a straight line are ...
Text Solution
|
Acceleration of two identical particles moving in a straight line are ...
Text Solution
|
Comprehension # 5 One particle of mass 1 kg is moving along positive...
Text Solution
|