1. You launch a rocket of mass 2.40 x 10* kg straight upward from the Earth's surface. The rocket's engines burn for a short time and a very short distance, giving the rocket an initial peed of 9.00 km/s, then shut off. To what maximum height above the Earth's surface will the rocket rise? Earth's mass is 5.87 x 1024 kg and its radius is 6370 km ( ignore the force of air resistance) 2. Solve for the escape velocity for Earth. 3. You have gone looking for your missing Physics teacher on the martian moon Phobos ( you figured he might have gone home), which has a radius of 11.1 km. You have found that by dropping a baseball at the surface of Phobos gravity is equal to 0.00580 m/s'. At what speed would you have to throw the baseball to have it escape Phobos? 4. Suppose the Earth suddenly came to a halt and ceased revolving around the sun. The gravitational force would then pull the Earth directly into the sun. What would be the Earth's speed as it crashed into the sun? { mass of sun = 1.99 x 1030 kg, mass of Earth = 5.98 x 1024 kg, radius of sun = 6.96 x 105 m, radius of Earth = 6.37 x 105 m, distance of Earth from sun = 1.5 x 10#1 m )