A body A of mass 8Kg Is moving to the right with a speed of 3m/s . It strikes a 1 Kg body B which is moving towards the left with speed 10m/s. After impact body B moves with velocity of 4m/s towards right. calculate i) coefficient of restitution ii) final velocity of body A
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11th
Physics
Work, Energy and Power
Types of Collisions
Two balls A and B having ma...
PHYSICS
Two balls A and B having masses 1kg and 2kg, moving with speeds 21m/s and 4m/s respectively in opposite direction, collide head on. After collision A moves with a speed of 1m/s in the same direction, the correct statements is :
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December 20, 2019avatar
Balkrishna Rayankula
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ANSWER
Using Momentum Conservation:
⇒m
1
u
1
+m
2
u
2
=m
1
v
1
+m
2
v
2
⇒1(21)+2(−4)=1(1)+2v
2
⇒v
2
=6m/s
Coefficient of Restitution:
e=
u
1
−u
2
v
2
−v
1
=
21+4
6−1
=0.2
Kinetic Energy lost:
=
2
1
m
1
(v
1
2
−u
1
2
)+
2
1
m
2
(v
2
2
−u
2
2
)
=
2
1
1(1−441)+
2
1
2(36−16)
=−200J
Impulse of Force:
I=(Δmv)
1
=1(1−21)=−20
=(Δmv)
2
=2(6−(−4))=20