During inelastic collision between two bodies, which of the follo… - Vidyadip

Question

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

Total kinetic energy.
Total mechanical energy.
Total linear momentum.
Speed of each body.

✓

Answer

Total linear momentum.

Explanation:

If in a collision kinetic energy after collision is not equal to kinetic energy before collision, the collision is said to inelastic. Coefficient of restitution 0 < e < 1 When we are considering the two bodies as system the total external force on the system will be zero. Hence, total linear momentum of the system remain 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)_initialsuch as when initial KE is converted into intertial energy of the product (as heat, elastic or excitation) while in other cases (KE)_final > (KE)_initialsuch as when internal energy stored in the colliding particles is released.

Examples:

Collision between two billiard balls.
Collision between two automobiles on a road.
In fact all majority of collisions belong to this category.

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