- #1

ElementUser

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## Homework Statement

Matthew and Amanda have challenged Trevor and Julie to a curling match, played with perfectly elastic rocks sliding on level frictionless ice. Three rocks are lined up all in a row (perfectly straight line). B is a junior rock and its mass is exactly half of A or C. B and C are stationary while A approaches. Calculate the time interval between the collision of A&B and the collision of B&C. The distance between B and C is 4.5m. Rock A has an initial velocity of 1.5 m/s.

Diagram: 2M -----> M __________ 2M

Distance between M and the right-most 2M is 4.5m.

## Homework Equations

m1v1+m2v2=m1v1^prime + m2v2^prime

d=vt, where v is equal to v2^prime

J=Ft

p=mv

Probably some equation that I missed (main problem of the question that I can't figure out)

## The Attempt at a Solution

Variables: m1=2 kg

m2=1 kg

v1=1.5 m/s

v2=0 m/s

v1^prime=?

v2^prime=?

2(1.5)+0=2v1^prime+v2^prime

3=2v1^prime+v2^prime

Then I tried doing v2^prime=d/t, which got me to:

v2^prime=4.5/t

I tried subbing that into the other equation to make it 3=2v1^prime+v2^prime, but that got me nowhere. So basically I'm stuck trying to find v2^prime, which is what I need to figure out the time interval between the 2 collisions. I tried to think of the impulse&momentum equations, but they didn't seem to help (can't find the force for the impulse equation).

Any help is appreciated! Thanks :).

-ElementUser (first post in these forums)