Two ball of mass $m_{1}$ and $m_{2}$ moving towards each other with speed $v_{1}$ and $v_{2}$ respectively collides and stick together and some kinetic energy was lost, then:

the collision was elastic and total linear momentum was conserved

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the collision was elastic and total linear momentum was not conserved

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the collision was not elastic and total linear momentum was conserved

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the collision was not elastic and total linear momentum was not conserved

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None of the above

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Solution

The correct option is C the collision was not elastic and total linear momentum was conserved
The total external force on the system is zero during collision, thus the total linear momentum is always conserved before and after the collision.
Also the total kinetic energy of the system before and after the collision is not conserved in case of inelastic collision. Some of the kinetic energy is lost either in the form of heat, sound or deformation.
Hence option C is correct.

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Similar questions

Q. The total kinetic energy in an elastic collision is conserved even during the collision
Total linear momentum is conserved in an elastic collision.

Q. Assertion :Linear momentum is conserved in both, elastic and inelastic collisions. Reason: Total energy is conserved in all such collisions.

Q. Two balls of masses

m_{1} and m_{2}

(

m_{2} >> m_{1}

) are moving with initial velocities

v_{1} and v_{2}

respectively towards each other. The final velocity of

m_{2}

after collision will be [Assume collision to be perfectly elastic]

Q. Two bodies of equal masses and speeds collide head-on elastically. Total momentum after collision is

Answer carefully, with reasons :

(a) In an elastic collision of two billiard balls, is the total kinetic energy conserved during the short time of collision of the balls (i.e. when they are in contact) ?

(b) Is the total linear momentum conserved during the short time of an elastic collision of two balls ?

(d) If the potential energy of two billiard balls depends only on the separation distance between their centres, is the collision elastic or inelastic? (Note, we are talking here of potential energy corresponding to the force during collision, not gravitational potential energy).

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Two ball of mass m1 and m2 moving towards each other with speed v1 and v2 respectively collides and stick together and some kinetic energy was lost, then:

Two ball of mass $m_{1}$ and $m_{2}$ moving towards each other with speed $v_{1}$ and $v_{2}$ respectively collides and stick together and some kinetic energy was lost, then: