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Types Of Collision - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Types of collision is considered one of the most asked concept.

  • 13 Questions around this concept.

Solve by difficulty

  A large number (n) of identical beads, each of mass m and radius r are strung on a thin smooth rigid horizontal rod of length L (L>>r) and are at rest at random positions. The rod is mounted between two rigid supports (see figure). If one of the beads is now given a speedv, the average force experienced by each support after a long time is (assume all collisions are elastic) :

 

A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss (in Joule) during the collision is :

 Two particles A and B of equal mass M are moving with the same speed v as shown in the figure.  They collide completely inelastically and move as a single particle C.  The angle θ that the path of C makes with the X-axis is given by :

A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R . Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass m , if the string does not slip on the pulley, is

Concepts Covered - 1

Types of collision
  1. On the basis of conservation of kinetic energy

a. Perfectly elastic collision

  •  In this collision,  (K.E)_{initial} = (K.E.)_{final}

  • Coefficient of restitution e = 1

  • Ex- Bouncing of ball with same velocity after the collision with ground.

 

b. Inelastic collision

  • In this collision (K.E)_{initial} \neq (K.E.)_{final}

  • Coefficient of restitution 0 < e < 1 

  • As (K.E)_{initial} > (K.E.)_{final}

The loss in  kinetic energy appears in other forms, such as heat , sound etc. 

Ex- Collision between two billiard balls. All majority of collision belong to this category.

c. Perfectly inelastic collision.

  • If in a collision two bodies stick together or move with same velocity after the collision, the collision is said to be perfectly inelastic.

  • Coefficient of restitution e = 0

  • Ex-Collision between a bullet and a block of wood is an example of perfectly inelastic collision, if after collision the bullet remains embedded in the block, and block and bullet move together.

  1.  On the basis of the direction of colliding bodies 

a. Head on or one dimensional collision

  • In a head on collision the motion of colliding particles before and after the collision is along the same line .

b. Oblique collision

  • If directions of motion of colliding particles after collision is not along the initial line of motion of colliding particles , then the collision is called oblique.

  • Example : Collision of billiard balls.

 

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Types of collision

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