Q1. Newton's universal constant of gravitation is G = 6.67 × 10-11 meters cubed (m3) per kilogram per second per second. The Sun's mass is M = 1.9891 x 10^30 kilograms. Earth's orbital period is P = 365.256366 days. Obtain the average radius of Earth's orbit in kilometers using the equation from your notes or textbook? Write the derivation.

Q2. Two acrobats, each of 72.0kg, launch themselves together from the swing, holding hands. Their velocity at launch was 7.60m/s and angle of their initial velocity relative to the horizontal was 55.0 degrees upwards. At the top of their trajectory, their act calls for them to push against each in such a way that one of them becomes stationary in mid-air and then falls to the safety net while the other speeds away, to reach another swing at the same height at that of the swing they left. What must be the distance (in m) between the two swings?