Two ladybugs are trapped in the front tire of andy’s bicycle. he does not want to
hurt the ladybugs so he cannot go too fast as that would subject them to a high centripidal
acceleration. he remembers from biology class that ladybugs can withstand an acceleration of
a = 5g. if the radius of the bicycle tire is 0.37 m what is maximum velocity of the outer rim of
the tire and therefore the maximum velocity at which andy can travel?

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)

You throw a baseball directly upward at time =0 at an initial speed of 14.9 m/s. what is the maximum height the ball reaches above where it leaves your hand? ignore air resistance and take =9.80 m/s2.

Is a volume of space that is empty of matter.