Point) a tank in the shape of an inverted right circular cone has height 5 meters and radius 4 meters. it is filled with 4 meters of hot chocolate. find the work required to empty the tank by pumping the hot chocolate over the top of the tank. the density of hot chocolate is δ=1080 kg/m3. your answer must include the correct units.

Astronomers discover an exoplanet (a planet of a star other than the sun) that has an orbital period of 3.87 earth years in its circular orbit around its sun, which is a star with a measured mass of 3.59 x 1030 kg. find the radius of the exoplanet's orbit.

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.

Observations show that interstellar clouds can have almost any shape and