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Numericals · Q47

Q.In the following table, every item on the left side can match with any number of items on the right hand side. Select all those.
Types of collision:

(a) Elastic collision
(b) Inelastic collision
(c) Perfectly inelastic collision
(d) Head-on collision
Illustrations:
(i) A ball hit by a bat.
(ii) Molecular collisions responsible for pressure exerted by a gas.
(iii) A stationary marble A is hit by marble B and the marble B comes to rest.
(iv) A blob of clay dropped on the ground sticks to the ground.
(v) Out of anger, giving a kick to a wall.
(vi) A striker hits the boundary of a carrom board in a direction perpendicular to the boundary and rebounds.
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  1. ELASTIC collision -- kinetic energy conserved: only (ii) molecular collisions responsible for gas pressure are treated as elastic in kinetic theory (the idealisation discussed in 4.8.1); everyday macroscopic collisions like a bat-ball or wall-kick always lose some energy.
  2. INELASTIC collision -- some KE lost, momentum conserved, bodies do NOT stick together: (i) a ball hit by a bat (some energy lost as sound/heat/ball deformation, ball and bat separate afterwards); (v) kicking a wall out of anger (energy lost as sound/heat/vibration in the foot and wall, foot rebounds); (vi) a carrom striker rebounding off the boundary perpendicular to it (some energy lost on impact, striker rebounds rather than sticking) -- all three lose energy but the colliding bodies separate rather than joining.
  3. PERFECTLY INELASTIC collision -- bodies stick together, moving with one common velocity afterwards: (iv) a blob of clay dropped on the ground sticking to it is the textbook example of a perfectly inelastic collision (definition, 4.8.2). …

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