Car a uses tires for which the coefficient of static friction is 0.169 on a particular unbanked curve. the maximum speed at which the car can negotiate this curve is 23.7 m/s. car b uses tires for which the coefficient of static friction is 0.826 on the same curve. what is the maximum speed at which car b can negotiate the curve?

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)