GATE ME 2014 Set 3 — Question 19
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Engineering Mechanics → Dynamics → Linear & Angular Impulse-Momentum
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Question
A mass of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass of 1000 kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is
Correct answer
(D) 0
Solution
The coefficient of restitution is defined as the ratio of the relative velocity of separation to the relative velocity of approach:In this problem, it is stated that after the collision, both masses travel together with the same velocity. This means .
Therefore, the relative velocity of separation is:Substituting this into the formula for :A collision where the bodies stick together and move with a common velocity is a perfectly inelastic collision, for which .
Therefore, the relative velocity of separation is:Substituting this into the formula for :A collision where the bodies stick together and move with a common velocity is a perfectly inelastic collision, for which .
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