Homework Help: Half pipe mass colides

1. Nov 22, 2009

joemama69

1. The problem statement, all variables and given/known data

note the picture

A small mass m1 slides in a completely frictionless spherical bowl. m1 starts at rest at height h = ½ R above the bottom of the bowl. When it reaches the bottom of the bowl it strikes a mass m2, where m2 = 3m1, in a completely elastic collision.

a)find height of mass 2 after colision

b)find height of mass 1 after colision

2. Relevant equations

3. The attempt at a solution

m1g(.5R) = .5m1v1o2...v1o = (gR).5

m1v1o[/SUB = m1v1 + m2v2...m1v1o[/SUB = m1v1 + 3m1v2...(gR).5 = v1 + 3v2...
v1 = (gR).5 - 3v2
v2 = ((gR).5-v1)/3

a) .5m2v22 = m2gh... .5(((gR).5-v1)/3)2 = gh....hm_2 = (((gR).5-v1)/3)2 /2g

b).5m1v22 = m1gh... .5((gR)2-3v2)2 = gh...h = ((gR).5-3v2)2/2g)
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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2. Nov 23, 2009

Redbelly98

Staff Emeritus
Okay so far. At this point you can use conservation of kinetic energy for the elastic collision, and get a second equation relating v1 and v2. From there, you can express v1 and v2 in terms of g and R.

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