Inelastic collision followed by circular motion

[Sal Coombs]

Homework Statement

A 3.0-kg mass is sliding on a horizontal frictionless surface with a speed of 3.0 m/s when it collides with a 1.0-kg mass initially at the bottom of a circular track. The masses stick together and slide up a frictionless circular track of radius 0.40 m. To what maximum height, h, above the horizontal surface (the original height of the masses) will the masses slide?

Relevant Equations

mv = mv Momentum
1/2mv^2 Kinetic Energy
mgh Potential Energy
(mv^2)/r Centripetal Force

Found the speed at which the masses will travel after their collision: 2.25m/s
Not sure what to do next...

 

[PeroK]

Found the speed at which the masses will travel after their collision: 2.25m/s
Not sure what to do next...

What happens when the masses follow the circular track?

 

[haruspex]

To expand on @PeroK's question, there are three distinct possibilities. Can you list them?