Hydraulic brakes use pascal’s principle. the driver exerts a force of 100 n on the brake pedal. this force is increased by the simple lever and again by the hydraulic system. each of the identical slave cylinders receives the same pressure and, therefore, creates the same force output f2. the circular cross-sectional areas of the master and slave cylinders are represented by a1 and a2, respectively. how much pressure is transmitted in the hydraulic system? express your answer in pascals and in atmospheres.

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)