The moon orbits the earth at a distance of 3.85 x 10^8 m. assume that this distance is between the centers of the earth and the moon and that the mass of the earth is 5.98 x 10^24 kg. find the period for the moon's motion around the earth. express the answer in days and compare it to the length of a month.

Review multiple-concept example 7 in this chapter as an aid in solving this problem. in a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. in one instance, the radius of the circle is 0.626 m. at one point on this circle, the ball has an angular acceleration of 66.1 rad/s2 and an angular speed of 12.6 rad/s. (a) find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) determine the angle of the total acceleration relative to the radial direction.