An object is launched from the surface of the Earth with speed v1 at an angle theta = 30 degrees to an axis perpendicular to the surface. The object's low-orbit path is displayed in the figure below, reaching a maximum height (called apogee) of 3R from the Earth's center, where R = 6371 km. The mass of the Earth is M = 5.972 x 10^24 kg. Is angular momentum conserved relative to the center of the Earth? Is energy conserved in this motion?>

R 3R 2