Sphere x, of mass 2 kg, is moving to the right at 10m/s. sphere y, of mass 4 kg, is moving to the left at 10m/s. the two spheres collide head-on. the magnitude of the impulse of x on y is:

Engines for propeller-driven aircraft are limited in their maximum rotational speed by the fact that the tip speed of the propeller must not approach the speed of sound in air (mach i). taking 6 ft as a typical diameter for a propeller of a light airplane and 1100 fils as the speed of sound, find the upper limit on the rpm (revolutions per minute) of the propeller shaft.