Four forces are exerted on each of the two objects as shown below:

a square labeled object a is shown with an arrow pointing up labeled 5 n, an arrow pointing right labeled 2 n, an arrow pointing down labeled 5 n and an arrow pointing left labeled 4 n. a square labeled object b is shown with an arrow pointing up labeled 3 n, an arrow pointing right labeled 2 n, an arrow pointing down labeled 3 n and an arrow pointing left labeled 1 n

in which direction will the objects move?

object a will move down and object b will move up.
object a will move up and object b will move down.
object a will move left and object b will move right.
object a will move right and object b will move left.

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)