Home
Class 12
PHYSICS
Thre block A, B and C are lying on a smo...

Thre block A, B and C are lying on a smooth horizontal surface, as shwon in the figure. A and B have equal masses m while C has mass M. Block A is given an initial seed v towards B due to which it collides with B perfectly inelastically. The combined mass collides with C, also perfectly inelastically and `5/6`th of the initial kinetic energy is lost whole process. If the value of M/m is `4/x`. FInd the value of x.

Text Solution

Verified by Experts

Kinetic energy of block A
`k_(1)=1/2mv_(0)^(2)`
`:.` From principle of linear momentum conservation
`mv_(0)=(2m+M)v_(f)Phi v_(f)=(mv_(0))/(2m+M)`
According to question of `5/6` th the initial kinetic energy is lost in whole process.
`:.(k_(j))/(k_(f))=6implies(1/2mv_(0)^(2))/(1/2(2m+M)((mv_(0))/(2m+M))^(2))=6`
`Phi(2m+M)/m=6:.M/m=4`
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 6 (SYSTEM OF PARTICLES AND ROTATIONAL MOTION)|14 Videos

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER -7 (GRAVITATION)|15 Videos

  • CHAPTERWISE NUMERIC /INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER -4 (LAWS OF MOTION)|15 Videos

  • ATOMS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

  • COMMUNICATION SYSTEM

    DISHA PUBLICATION|Exercise EXERCISE-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m while C has mass M. Block A is given an inita speed v towards B due to which it collides with B perfectly inelastically. The combined mass collides with C, also perfectly inelastically (5)/(6)th of the initial kinetic energy is lost in whole process. What is balue of M//M?

What is a perfectly inelastic collision? Show that kinetic energy is invariably lost in such a collision.

In any perfectly inelastic collision, is whole of KE lost ?

Three blocks A, B and C each of mass m are placed on a surface as shown in the figure. Blocks B and C are initialyy at rest. Block A is moving to the right with speed v. It collides with block B and stricks to it. The A-B combination collides elastically with block C. Which of the following statement is (are) true about the velocity, of block B and C.

Three blocks A,B and C are suspended as shown in the figure. Mass of each block A and C is m. if the system is in equilibrium and mass of B is M, then

A ball of mass 5 kg moving with speed 8 m/s collides head on with another stationary ball of mass 15 kg. If collision is perfectly inelastic, then loss in kinetic energ is

Two blocks A and B of masses m and 2m are placed on a smooth horizontal surface. Block B is given a speed of 3m//s . Find (i) The maximum speed of A (ii) The minimum speed of B .

A block of mass 'm' collides perfectly inelastically with another identical block connected to a spring of of force constant 'K'. The amplitude of resulting SHM will be

A particle of mass m moving with speed u collides perfectly inelastically with another particle of mass 2m at rest. Find loss of kinetic energy of system in the collision.