For problems that involve an object accelerating along an inclined plane, how can the weight be used to determine the force component that causes motion? The weight is the full force that acts perpendicular to the surface of the ramp.

The weight times the cosine of the ramp’s angle is the force perpendicular to the ramp.

The weight times the sine of the angle of the ramp acts down along the ramp.

The weight times the cosine of the angle of the ramp acts down along the ramp.
The answer is C ¨The weight times the sine of the angle of the ramp acts down along the ramp.¨

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)