The sun orbits the center of the galaxy in 225 million years at a distance of 26,000 lightyears. given that a^3 = (m1 +m2) x p^2, where a is the semimajor axis in au and p is the orbital period in years, what is the mass of the galaxy within the sun’s orbit?

Aball tossed vertically upward from the ground next to a building passes the bottom of a window 1.8 s after being tossed and passes the top of the window 0.20 s later. the window is 2.0 m high from top to bottom. what was the ball's initial velocity? the unit vector j^ is directed upward. how far is the bottom of the window from the launch position? how high does the ball rise above the launch position?

In an experiment, how can i change human errors? be specific.

Agraduated cylinder contains 63.0 ml of water. a piece of gold, which has a density of 19.3 g/ cm3, is added to the water and the volume goes up to 64.5 ml. calculate the mass in grams of the gold that was added to the water. explain how you got your answer.