Along straight wire runs along the z-axis and carries a current of 24.0 a in the positive direction. another long straight wire runs along the line (x, y (15.0 cm, o). the magnetic fheld at points along the line (x. y) - (10.0 cm. o) has a magnitude of 32.0 microtesla and is directed in the +y-direction. what is the current in the wire at x - 15.0 cm? o a) 5.00 a in the +z-direction b) 4.00 a in the +z-direction c) 3.00 a in the 2 direction d) 1.00 a in the zdirection e) 6.00 a in the -z-direction

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)