The Nebular Theory states that the solar system formed from a large collapsing rotating cloud of gas and dust. What features of the solar system, as we observed it today, are necessarily the consequence of angular momentum conservation? Pick all that apply.1) Planets orbit in nearly the same plane2) Planets all orbit in the same direction that the Sun rotates.3) The Sun is at the center of the solar system.4) Oort cloud comets form a spherical distribution with randomly-oriented orbits.5) Asteroids and Kuiper belt objects orbit in roughly the same plane as the planets.

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.