Centre of Mass 3 Question 3

3. A particle of mass m is moving with speed 2v and collides with a mass 2m moving with speed v in the same direction. After collision, the first mass is stopped completely while the second one splits into two particles each of mass m, which move at angle 45 with respect to the original direction.

The speed of each of the moving particle will be

(2019 Main, 9 April II)

(a) 2v

(b) v2

(c) v(22)

(d) 22v

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Answer:

Correct Answer: 3. (d)

Solution:

  1. According to the questions,

Initial condition,

Final condition,

As we know that, in collision, linear momentum is conserved in both x and y directions separately.

So, (px)initial =(px)final 

m(2v)+2m(v)=0+mvcos45+mvcos45

4mv=2m2vv=22v

So, each particle will move with a speed of 22v.



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