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प्रश्न
During inelastic collision between two bodies, which of the following quantities always remain conserved?
विकल्प
Total kinetic energy.
Total mechanical energy.
Total linear momentum.
Speed of each body.
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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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संबंधित प्रश्न
The rate of change of total momentum of a many-particle system is proportional to the ______ on the system.
Answer carefully, with reason:
In an inelastic 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)?
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?
Answer the following question.
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- A very light object collides on a comparatively much massive object, initially at rest.
Define the following:
Coefficient of restitution
Arrive at an expression for elastic collision in one dimension and discuss various cases.
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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"?
