1. Work is done on a flywheel to spin it up from rest to 100 rpm. The same amount of work is done on the flywheel to increase its rotation rate further, thereby doubling the stored rotational kinetic energy. What is the final rotation rate of the fly wheel? [2 pt]

answer in units of rpm.

2. An explosion in a straight section of pipe shoots three balls out its two ends. A 6 gram ball comes out the right end at 2 m/s. A 4 gram ball comes out the left end with twice the speed of the 6 gram ball. If the third ball has mass 2 grams, what is the final speed of this ball? The pipe itself does not move in the explosion, and the pipe and balls were stationary before the explosion.