In a one-dimensional elastic collision, the relative velocity of approach before collision is equal to:
In a one-dimensional elastic collision, the relative velocity of approach before collision is equal to:
The correct option is D relative velocity of separation after collision
The Coefficient of Restitution is a measure of the "bounciness" of a collision between two objects: how much of the kinetic energy remains for the objects to rebound from one another vs. how much is lost as heat, or work done deforming the objects.
The coefficient, e is defined as the ratio of relative speeds after and before an impact, taken along the line of the impact:
e=velocity of separationvelocity of approach
The bodies stick together in perfectly inelastic collision and move together hence velocity of separation is zero.
(i) For perfectly elastic collision e = 1
(ii) For perfectly inelastic collision e = 0
(iii) For other collision 0 < e < 1
As elastic collision, therefore e=1 and hence relative velocity of separation=relative velocity of approach
The Coefficient of Restitution is a measure of the "bounciness" of a collision between two objects: how much of the kinetic energy remains for the objects to rebound from one another vs. how much is lost as heat, or work done deforming the objects.
The coefficient, e is defined as the ratio of relative speeds after and before an impact, taken along the line of the impact:
e=velocity of separationvelocity of approach
The bodies stick together in perfectly inelastic collision and move together hence velocity of separation is zero.
(i) For perfectly elastic collision e = 1
(ii) For perfectly inelastic collision e = 0
(iii) For other collision 0 < e < 1
As elastic collision, therefore e=1 and hence relative velocity of separation=relative velocity of approach
