Two cars collide at an icy intersection and stick together afterward. the first car has a mass of 1150 kg and was approaching at 5.00 m/s due south. the second car has a mass of 750 kg and was approaching at 25.0 m/s due west.

calculate the final velocity of the cars. (note that since both cars have an initial velocity, you cannot use equations 7.6a and b. you must look for other simplifying aspects.)
magnitude (answer in m/s

direction ° (counterclockwise from west is positive)

(b) how much kinetic energy is lost in the collision? (this energy goes into deformation of the cars.)

What is the most useful equation for electric power?

Which branches of natural science include the study of an organism that lived 10 million years ago

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)