Ahot air balloon is flying above grovenburg. to the left side of the balloon, the balloonist measure the angle of depression to the groveburg soccer fields to be 20 degrees 15’. to the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62 degrees 30’. the distance between the two athletic complexes is 4 miles.

Why is it important always to use horizontal bars in unit fractions when performing unit conversions?

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)

You throw a baseball directly upward at time =0 at an initial speed of 14.9 m/s. what is the maximum height the ball reaches above where it leaves your hand? ignore air resistance and take =9.80 m/s2.