GATE ME 2015 Set 2 — Question 16
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Engineering Mechanics → Dynamics → Linear & Angular Impulse-Momentum
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Question
A small ball of mass kg moving with a velocity of m/s undergoes a direct central impact with a stationary ball of mass kg. The impact is perfectly elastic. The speed (in m/s) of kg mass ball after the impact will be ________
Correct answer
7.8 to 8.2
Solution
Given:
Mass of ball 1, kg
Initial velocity of ball 1, m/s
Mass of ball 2, kg
Initial velocity of ball 2, m/s
Coefficient of restitution for perfectly elastic impact, The final velocity of the second ball () after a direct central impact is given by:Substituting the values:The speed of the kg mass ball after the impact is m/s.
Mass of ball 1, kg
Initial velocity of ball 1, m/s
Mass of ball 2, kg
Initial velocity of ball 2, m/s
Coefficient of restitution for perfectly elastic impact, The final velocity of the second ball () after a direct central impact is given by:Substituting the values:The speed of the kg mass ball after the impact is m/s.
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