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There are three spheres each of mass m placed at a separation l from each other. The sphere 1 given a velocity v1 then find the final velocities of the bodies ​ 2. Body 1 is given velocity v1 and body 3 velocity 2v1 such that they are pointing in same direction. Calculate their final velocities. Please answer quickly

There are three spheres each of mass m placed at a separation l from each other. The sphere 1 given a velocity v1 then find the final velocities of the bodies
​2. Body 1 is given velocity v1 and body 3 velocity 2v1 such that they are pointing in same direction. Calculate their final velocities.
Please answer quickly 
 

Grade:11

1 Answers

Arun
25750 Points
3 years ago
The given system may be regarded as a system of three particles located at the three vertices of an equilateral triangle of side 2R.
Now,
F 
A
​ 
 =F 
B
​ 
 
⇒ 
(2R) 
2
 
Gm 
2
 
​ 
 = 
4R 
2
 
Gm 
2
 
​ 
 
 
F 
A
​ 
 andF 
B
​ 
  are inclined to each other at an angle of 60 
0
 .
If F is the resultant of F 
A
​ 
  and F 
,
​ 
  then 
F= 
3
​ 
 × 
4R 
2
 
Gm 
2
 
​ 
 

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