When the Moon's phase is a "quarter Moon," the Earth, the Moon, and the Sun are at the vertices of a right triangle. (Assume that the origin is at the center of the Sun, with the +x-axis pointing from the Sun to the Earth and the +y-axis parallel to the vector from the Earth to the Moon.) (a) Find the center of mass of the Earth-Moon-Sun system during this phase of the Moon. (b) During an eclipse, when the Moon is directly between the Earth and the Sun, the center of mass of the system is inside the Sun. Use this to check and think about your result.

A stone is dropped at t = 0. A second stone, with 3 times the mass of the first, is dropped from the same point at t=130 ms. (a) How far below the release point is the center of mass of the two stones at t = 260 ms? (Neither stone has yet reached the ground.) (b) How fast is the center of mass of the two-stone system moving at that time? (a) Number (b) Number eTextbook and Media Units Units

Find the y center of mass of the following masses at their respective coordinates: m1=5.0, x1=3.0,y1=3.0 m2=3.0, x2=-1.2,y2=-1.2 m3=2.5, x3=-2.8,y3=4.8 y_com=?

kg, 4. (a) The masses of the Earth and the Moon are 5.98 × 1024 kg and 7.35 x 1022 respectively, and their centers are separated by 3.84 × 108 m. Where is the center of mass of this system located? (b) Consider two objects with masses mA = 35 kg and mp = 25 kg. They have velocities (in m/s) đA = 12î – 16j and õB of the center of mass of the system. -20î + 14j. Determine the velocity