Three forces act on the body: 0.4 N to the right side and up at the angle of 30° to the horizon, 0.7 N to the right side and up at the angle of 45°, and 0.8 N to the right side and up at the angle of 60° to the horizon. Find the projection of the resultant of these forces onto the vertical axis.

Aball has an initial velocity of 3 m/s. if there is no friction, what is the highest it could roll?

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)

Which governments provide garbage collection services to homes and businesses