1. Will the swinging wonder ever let 2 ball bearings go in and one ball bearing out with twice the v? Why?

2. A 10.0 kg object moving to the right with a speed of 4.0 m/s collides and sticks to a 4.0 kg object moving to the left with a speed of 4.0 m/s. How much energy is lost as heat during the collision?

1. Think about what would happen to total kinetic energy and you will know the answer.

2. Calculate the final velocity Vf using the law of conservation of momentum, which must be obeyed.
10*4 - 4*4 = 14*Vf
14*Vf = 24 kg*m/s
Vf = +1.714 m/s (+ is to the right)
Now compare initial and finalkinetic energies. That is something you should do yourself.