identical balls each of mass 4 kg are moving towards each other with speeds 2 mls and 3 m/s
respectively. They undergo head on perfectly elastic collision. Then impulse imparted by one ball on other is
(1) 12 Ns
(2) 8 Ns
(3) 20 Ns
(4) 40 Ns
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30
Answer:
Impulse is given as Force × Time
Force = Mass × Acceleration
Acceleration = ( v - u ) / Time
Where, v and u are final and initial velocities respectively.
⇒ Impulse = Mass × ( v - u ) / Time × Time
Time gets cancelled and we get,
⇒ Impulse = Mass × ( v - u )
According to the question,
Mass = 4kg
v = 3 m/s
u = 2m/s
⇒ Impulse = 4 ( 3 - ( - 2 ) ) [ Because Velocity of 2m/s is opposite ]
⇒ Impulse = 4 ( 5 ) = 20 N.s
Therefore option c is correct.
Hope it helped !!
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