Hi, can someone please help me with the following questions? Thanks The picture

Question

Hi, can someone please help me with the following questions? Thanks

The picture shows three identical balls. The balls labelled 2 and 3 are in contact. The line connecting their centres is bisected by the path of ball 1. The speed of ball 1 is v_0 = 15.12 m/s. The trajectory of ball passes through the point at which balls 2 and 3 come into contact. Let us assume the collision is elastic. Determine the magnitude of the velocity of ball 2. v = ms^-1 Determine the magnitude of the velocity of ball 3 after the collision. v = ms^-1 Determine the magnitude of the velocity of ball 1 after the collision v = ms^-1

Explanation / Answer

By geometry, the angle red balls go with x axis is 30 degree.

By momentum conservation,

mvo = mv1 + 2mv2 cos 30 degree

15.12 = v1 + 1.732 v2

By energy conservation,

  0.5 mvo^2 = 0.5 mv1^2 +2*0.5mv2^2

  15.12^2 = (15.12-1.732v2)^2 + 2v2^2

   0 = - 15.12*2*1.732*v2 + 3v^2 + 2v^2

  V2 = 1.732*30.24/5 = 10.5 m/s

B)v =10.5 m/s

C) v1= 15.12-1.732*10.5

   = 3.07 m/s answer

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