A smooth hollow U shaped tube of mass 2m...

A smooth hollow U shaped tube of mass `2m` is lying at rest on a smooth horizontal table. Two small balls of mass m, moving with velocity u enter the tube simultaneously in symmetrical fashion. Assume all collisions to be elastic. Find the final velocity of the balls and the tube.

Text Solution

Verified by Experts

The correct Answer is:

`v_(ball)=0 v_(tube) =u`

Topper's Solved these Questions

KINETIC THEORY OF GASES
ARIHANT|Exercise Level 3|4 Videos
NEWTONS LAWS OF MOTION
ARIHANT|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

A smooth ball of mass M and radius R is lying on a smooth horizontal table. A smaller ball of radius r and mass m travelling horizontally on the table with velocity u hits the larger ball. Collision is elastic. During the interaction of the balls the larger ball does not lose contact with the table at any instant (i) Calculate the velocity of the balls after collision. (ii) Calculate the maximum possible interaction force between the balls during collision.

Three balls A, B and C of same mass m are placed on a frictionless horizontal plane in a straight line as shown. Ball A is moved with velocity u towards the middle ball B . If all the collisions are elastic, find the final velocities of all the balls.

A bullet of mass m moving with velocity u on smooth surface strikes a block of mass M kept at rest. The collision is completely inelastic. Find the common velocity and the fractional loss in kinetic energy.

A ball is moving with velocity 2m//s towards a heavy wall moving towards the ball with speed 1m//s as shown in figure. Assuming collision to be elastic, find the velocity of ball immediately after the collision.

A body of mass m moving with velocity u hati collides elastically with a body at rest of mass 3m and then the final velocity of body mass m is v hatj . Find the relation between v and u

A big ball of mass M , moving with velocity u strikes a small ball of mass m , which is at rest. Finally small ball obtains velocity u and big ball v . Then what is the value of v

A particle of mass m moving with velocity u collides elastically head on with a particle of mass 2m at rest. After collision the heavier particle moves with velocity?

A ball of mass m moving with velocity v collides head on elastically with another identical ball moving with velocity - V. After collision

ARIHANT-MOMENTUM AND CENTRE OF MASS-Momentum And Center of Mass

A small body of mass m is at rest inside a narrow groove carved in a d...
Text Solution
|
Laila and Majnu are on a boat for a picnic. The boat is initially at r...
Text Solution
|
A hot air balloon (mass M) has a passenger (mass m) and is stationary ...
Text Solution
|
A wooden wedge of mass 10 m has a smooth groove on its inclined surfac...
Text Solution
|
A uniform bar AB of length 6a has been placed on a horizontal smooth t...
Text Solution
|
A disc of mass M and radius R lies on a smooth horizontal table. Two m...
Text Solution
|
There particles A, B and C have masses m, 2m and m respectively. They ...
Text Solution
|
A smooth hollow U shaped tube of mass 2m is lying at rest on a smooth ...
Text Solution
|
There are 40 identical balls travelling along a straight line on a smo...
Text Solution
|
A small ball of mass m is suspended from the end A of a L shaped mass ...
Text Solution
|
A heavy rope of mass m and length 2L is hanged on a smooth little peg ...
Text Solution
|
Two thin rings of slightly different radii are joined together to make...
Text Solution
|
A large number of small identical blocks, each of mass m, are placed o...
Text Solution
|
Two small balls, each of mass m are placed on a smooth table, connecte...
Text Solution
|
A block of mass M is tied to a spring of force constant K and the syst...
Text Solution
|
A massive ball (A) is dropped from height h on a smooth horizontal fl...
Text Solution
|
Disc A of radius R is lying flat on a horizontal surface. Disc B is al...
Text Solution
|
A mass m moving with speed u in x direction collides elastically with ...
Text Solution
|
A ball of mass M collides elastically with another stationary ball of ...
Text Solution
|
A tennis ball is lying on a rigid floor. A steel ball is dropped on it...
Text Solution
|