Last Updated On 01-06-2023 - By Jeesha Sara
Three balls 
and
of masses 2 kg, 4 kg and 8 kg, respectively, move along the same straight line and in the same direction, with velocities 4 m/s, 1 m/s and 3/4 m/s. If 
collides with 
and subsequently 
collides with 
, find the velocity of ball 
and ball 
after collision, taking the coefficient of restitution as unity
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Question ID - 100198 :- Three balls and of masses 2 kg, 4 kg and 8 kg, respectively, move along the same straight line and in the same direction, with velocities 4 m/s, 1 m/s and 3/4 m/s. If collides with and subsequently collides with , find the velocity of ball and ball after collision, taking the coefficient of restitution as unity
a)
b)
c)
d)
Three balls and of masses 2 kg, 4 kg and 8 kg, respectively, move along the same straight line and in the same direction, with velocities 4 m/s, 1 m/s and 3/4 m/s. If collides with and subsequently collides with , find the velocity of ball and ball after collision, taking the coefficient of restitution as unity
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(d)
First consider the collision of balls 
and 
Let the velocities of these two balls after their collision be 
and 
Momentum after impact = Momentum before impact
.png)
(i)
Relative velocity after impact 
relative velocity before impact
(ii)
Subtracting Eq. (ii) from Eq. (i). we get
m/s
Substituting in Eq. (ii), we get
.png)
Hence, after the collision ball 
is brought to rest, while ball 
will move with a velocity of 3 m/s. Now consider the collision of balls 
and 
. Let the velocities of these balls after collision be 
and 
respectively
Total momentum after impact = Total momentum before impact
(iii)
Relative velocity after impact =
relative velocity before impact
(iv)
Subtracting Eq.(iv) from Eq.(iii), we get
m/s
Next Question :
The system in fig. is released from rest from the position shown. After blocks have moved distance 
collar 
is removed and block 
and 
continue to move. The speed of 
just before it strikes the ground is
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