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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.
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
In an inelastic collision of two bodies, the quantities which do not change after the collision are the ______ of the system of two bodies.
Answer the following question.
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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.
Two bodies of masses 3 kg and 2 kg collide bead-on. Their relative velocities before and after collision are 20 m/s and 5 m/s respectively. The loss of kinetic energy of the system is ______.
Consider a one-dimensional motion of a particle with total energy E. There are four regions A, B, C and D in which the relation between potential energy V, kinetic energy (K) and total energy E is as given below:
Region A : V > E
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Region D : V > K
State with reason in each case whether a particle can be found in the given region or not.
Two pendulums with identical bobs and lengths are suspended from a common support such that in rest position the two bobs are in contact (Figure). One of the bobs is released after being displaced by 10° so that it collides elastically head-on with the other bob.
- Describe the motion of two bobs.
- Draw a graph showing variation in energy of either pendulum with time, for 0 ≤ t ≤ 2T, where T is the period of each pendulum.
A ball falls from a height of 1 m on a ground and it loses half its kinetic energy when it hits the ground. What would be the total distance covered by the ball after sufficiently long time?
A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms-1 gets embedded in it, then loss of kinetic energy will be ______.
Three identical blocks A, B and C are placed on horizontal frictionless surface. The blocks A and C are at rest. But A is approaching towards B with a speed 10 m/s. The coefficient of restitution for all collision is 0.5. The speed of the block C just after the collision is ______.
Answer carefully, with reason:
Is the total linear momentum conserved during the short time of an inelastic collision of two balls ?
