Please answer all problems including the why or why not parts.

list them in numerical order and label

Challenge Problem: Momentum and Kinetic Energy

An explosion causes an object, initially at rest, to break into two pieces. One of these pieces has twice as

much kinetic energy as the other. What is the ratio of their masses? Which one has the larger mass? Is it

the one with the larger kinetic energy, or the one with the smaller kinetic energy?

$1)$ Choose variable names for masses, velocities, momenta, and kinetic energies for the two objects

which leave the explosion. Clearly list how you are labelling the object with the larger kinetic

energy.

$2)$ Does this system have a conserved mechanical energy? Why or why not?

$3)$ Does this system have conserved momentum? Why or why not?

$4)$ Describe in a sentence or two what steps you will take to determine the required ratio of

masses.