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During inelastic collision between two bodies, which of the following quantities always remain conserved? - Physics

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प्रश्न

During inelastic collision between two bodies, which of the following quantities always remain conserved?

पर्याय

  • Total kinetic energy.

  • Total mechanical energy.

  • Total linear momentum.

  • Speed of each body.

MCQ
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उत्तर

Total linear momentum.

Explanation:

If in a collision kinetic energy after collision is not equal to kinetic energy before the collision, the collision is said to be inelastic.

Coefficient of restitution 0 < e < 1

When we are considering the two bodies as systems the total external force on the system will be zero.

Hence, the total linear momentum of the system remains conserved.

Here kinetic energy appears in other forms, i.e. energy may be lost in the form of heat and sound etc. In some cases

`(KE)_"final" < (KE)_"initial"` such as when initial KE is converted into internal energy of the product (as heat, elastic or excitation) while in other cases `(KE)_"final" > (KE)_"initial"` such as when internal energy stored in the colliding particles is released.

Examples: (1) The collision between two billiard balls.

(2) The collision between two automobiles on a road.

In fact, the majority of collisions belong to this category.

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पाठ 6: Work, Energy and Power - Exercises [पृष्ठ ३९]

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एनसीईआरटी एक्झांप्लर Physics [English] Class 11
पाठ 6 Work, Energy and Power
Exercises | Q 6.6 | पृष्ठ ३९

संबंधित प्रश्‍न

State if the following statement is true or false. Give a reason for your answer.

In an elastic collision of two bodies, the momentum and energy of each body is conserved.


State if the following statement is true or false. Give a reason for your answer. 

Total energy of a system is always conserved, no matter what internal and external forces on the body are present.


Answer carefully, with reason:

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.)


A molecule in a gas container hits a horizontal wall with speed 200 m s–1 and angle 30° with the normal, and rebounds with the same speed. Is momentum conserved in the collision? Is the collision elastic or inelastic?


Solve the following problem.

A spring ball of mass 0.5 kg is dropped from some height. On falling freely for 10 s, it explodes into two fragments of mass ratio 1:2. The lighter fragment continues to travel downwards with a speed of 60 m/s. Calculate the kinetic energy supplied during the explosion.


What is inelastic collision? In which way it is different from an elastic collision. Mention a few examples in day-to-day life for inelastic collision.


A ball is thrown vertically down from height of 80 m from the ground with an initial velocity 'v'. The ball hits the ground, loses `1/6`th of its total mechanical energy, and rebounds back to the same height. If the acceleration due to gravity is 10 ms-2, the value of 'v' is


A ball moving with velocity 5 m/s collides head on with another stationary ball of double mass. If the coefficient of restitution is 0.8, then their velocities (in m/s) after collision will be ____________.


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Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed V as shown in figure.

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Two blocks M1 and M2 having equal mass are free to move on a horizontal frictionless surface. M2 is attached to a massless spring as shown in figure. Iniially M2 is at rest and M1 is moving toward M2 with speed v and collides head-on with M2.

  1. While spring is fully compressed all the KE of M1 is stored as PE of spring.
  2. While spring is fully compressed the system momentum is not conserved, though final momentum is equal to initial momentum.
  3. If spring is massless, the final state of the M1 is state of rest.
  4. If the surface on which blocks are moving has friction, then collision cannot be elastic.

In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls (i.e., when they are in contact).

  1. Kinetic energy.
  2. Total linear momentum?

Give reason for your answer in each case.


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Answer carefully, with reason:

Is the total linear momentum conserved during the short time of an inelastic collision of two balls ?


What do the objects do "after collision"?


What is a collision?


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