Please answer the following questions, thank you!

1. Who was the prime suspect in the mysterious death of Tycho Brahe 2. Explain how knowing data about a planet's moon can help determine the planet's mass. 3. A rocket is launched it leaves the surface of the Earth and heads into space. Would more work be required lifting the rocket when it was near the surface of the Earth or further away? Explain your choice 4. Explain what is meant by a potential well as it refers to escaping Earth's gravity LONG ANSWER: Show all work for full marks 1. A 1000 kg GPS satellite is placed in orbit circling the Earth. Find its period of orbit if it is placed at an altitude of 200 km above the surface. ( 4 marks ) 2. A 5000 kg satellite has an elliptical orbit around Earth ranging in altitude from 304 km to 528 km ( 2 marks each) a) What is the change in gravitational potential between these locations? b) In which location would the satellite be moving the fastest? Explain in terms of energy c) What is the change in kinetic energy between these locations? 3. How far would an object projected at 25 m/s at an angle of 30 travel horizontally on Earth's moon? (assume level surface) (4) 4. Find the speed of Venus in its revolutionary orbit using two different techniques(4) 5. Calculate the escape velocity for a spaceship leaving Mars.(2) 6. Determine the Kepler's constant for objects that orbit Jupiter (3) INVESTIGATION ( one to two paragraphs )( 4 marks ) Recently there has been an increased interest in "Space Tourism". Investigate then briefly describe the nature, basic concept and pros and cons of "Space Tourism". Also if you were able (and could afford to go) would you go? Explain why or why not