A proton having an initial velocity of 18.1 Mm/s enters a uniform magnetic field of magnitude 0.330 T with a direction perpendicular to the proton's velocity. It leaves the field-filled region with velocity -18.1 Mm/s.
(a) Determine the direction of the magnetic field.

(b) Determine the radius of curvature of the proton's path while in the field.
m

(c) Determine the distance the proton traveled in the field.
m

(d) Determine the time interval for which the proton is in the field.
ns

Amarble, a bowling ball, a basketball, and a baseball are rolling across the floor at 10 m/s. which one has the greatest kinetic energy? the marble the bowling ball the basketball the baseball

Astone weighing 1.5 kilograms is resting on a rock at a height of 20 meters above the ground. the stone rolls down 10 meters and comes to rest on a patch of moss. the gravitational potential energy of the stone on the moss is joules.

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)