Home
Class 11
PHYSICS
Three balls A, B and C are placed on a s...

Three balls A, B and C are placed on a smooth horizontal surface. Given that `m_A=m_C=4m_B`. Ball B collides with ball C with an initial velocity v as shown in figure. Find the total number of collisions between the balls. All collisions are elastic.

Text Solution

Verified by Experts

After first collision with `B+C`

`v_B^()'=((m-4m)/(m+4m))v=-3/5v`
`v_C^()'=((2xxm)/(m+4m))v=2/5v`
After second collision with `B+A`

Now since `9/25vlt2/5v` or `v_C`
So, B will not collide with C further,
Hence total collisions are only 2.
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY ENGLISH|Exercise Level 1 Assertion And Reason|15 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY ENGLISH|Exercise Level 1 Objective|42 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY ENGLISH|Exercise Exercise 11.5|4 Videos

  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY ENGLISH|Exercise Comprehension type questions|15 Videos

  • CIRCULAR MOTION

    DC PANDEY ENGLISH|Exercise Medical entrances s gallery|19 Videos

Similar Questions

Explore conceptually related problems

Three balls A, B and C(m_(A)=m_(C)=4m_(B)) are placed onn a smooth horizontal surface. Ball B collides with ball C with an initial velocity v as shown in figure. Find the total number of collision betwenent the balls (all collisions are elastic).

Three balls A, B and C(m_(A)=m_(C)=4m_(B)) are placed onn a smooth horizontal surface. Ball B collides with ball C with an initial velocity v as shown in figure. Find the total number of collision betwenent the balls (all collisions are elastic).

A ball A of mass M collides elastically with a similar ball B at rest as shown in figure. Initially velocity of ball A is u m/s. After collision,

Two balls marked 1 and 2 of the same mass m and a third ball marked 3 of mass M are arranged over a smooth horizontal surface as shown in the figure. Ball 1 moves with a velocity v_(1) towards ball 2. All collisions are assumed to be elastic. If Mltm , the number of collisions between the balls will be.

Two balls marked 1 and 2 of the same mass m and a third ball marked 3 of mass M are arranged over a smooth horizontal surface as shown in the figure. Ball 1 moves with a velocity v_(1) towards ball 2. All collisions are assumed to be elastic. If Mltm , the number of collisions between the balls will be.

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.

Three identical balls are connected by light inextensible strings with each other as shown and rest over a smooth horizontal table. Length of each string is l . At moment t = 0 , ball B is imparted a velocity v_(0) perpendicular to the strings and then the system is left on its own. If collision between the balls is completely inelastic, then

Three balls A,B and C each of mass m and same size,are placed along same line on smooth horizontal surface.A is given a velocity u towards B as shown.If coefficient of restitution for collision between A and B is (1)/(2) and between B and C is (1)/(3) .Assuming all the collisions to be head on choose the correct options: (A) Final velocity of A is (u)/(4), (B) Final velocity of B is (u)/(4) (C) Final velocity of C is (u)/(2), (D) Total energy loss is (5)/(16)m u^(2)

A ball moving with speed v collides with a horizontal smooth surface at an angle theta with normal to surface as shown in figure. If coefficient of restitution of collision is e, then find v'

Three objects A , B and C are kept in a straight line on a smooth horizontal surface. These have masses m , 2m and 3 m , respectively . The head - on elastic collision takes place between A and B and then B makes completely inelastic collision with C . All motions occur on the same straight line. The final speed of C will be