The figure shows a block of mass m attached to a wall by a spring with spring constant k. The mass of the spring can be neglected, as well as any friction between the block and the surface on which it seats. A physicist gives the block an initial push and then watches it oscillate back and forth on its own. After measuring the oscillations very carefully, the physicist changes the spring and block and repeats the experiment. If the new spring has a spring constant that is twice the original spring constant, and the new mass is three times larger than the original mass, what is the ration of the angular frequencies between the original and the new spring-mass system?