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Two balls of equal mass collide and stich together with the initial velocity of ball B twice that ball of A

Two balls of equal mass collide and stich together with the initial velocity of ball B twice that ball of A

Grade:13

1 Answers

Archisha Ranjan
37 Points
2 years ago
the body A comes to rest and B moves away in the direction of A's approach with the velocity v
Given : m 
1
​ 
 =m 
2
​ 
 =m u 
1
​ 
 =v u 
2
​ 
 =0 e=1
 
Let the velocities of A and B be v 
a
​ 
   and v 
b
​ 
   respectively after the collision.
 
Using v 
a
​ 
 = 
m 
1
​ 
 +m 
2
​ 
 
(m 
1
​ 
 −em 
2
​ 
 )u 
1
​ 
 +(1+e)m 
2
​ 
 u 
2
​ 
 
​ 
 
 
v 
a
​ 
 = 
m+m
(m−1×m)v+(1+1)m(0)
​ 
 ⟹v 
a
​ 
 =0
 
Using v 
b
​ 
 = 
m 
1
​ 
 +m 
2
​ 
 
(m 
2
​ 
 −em 
1
​ 
 )u 
2
​ 
 +(1+e)m 
1
​ 
 u 
1
​ 
 
​ 
 
 
v 
b
​ 
 = 
m+m
(m−1×m)0+(1+1)mv
​ 
 ⟹v 
b
​ 
 =v
 
Thus body A comes to rest whereas B moves with velocity v in the same direction as that of A initially.
Thanks plz give me points

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