REVIEW ASSIGNMENT GRAVITATION Name: Teacher: School: Total % 53 SHOW ALL WORK FOR FULL MARKS (when possible) Page 1 of 91. Using values listed in the Table of Constants, determine the gravitational force of attraction between the Earth and the Sun. 1. 2 marks 2. In a mall parkade, a pickup truck of mass 1.8 x 10' kg is parked close to a small hatchback car of mass 9.4 x 10" kg. The gravitational force of attraction between the two vehicles is 5.6 x 10" N. How far away is the truck from the hatchback? 2) _ works Page 2 of 93. Mercury has a planetary mass of 3.20 x 10 kg and a radius of 2.44 x 108 m. If an astronaui weighs 217 N on Mercury's surface, what is her mass? ) 2 maarks 4. The International Space Station (I55) orbits the Earth at an altitude of 4.08 x 10 km. What is Earth's gravitational field strength on the 1S57 4) F marks Page 3 of 9 5. If the gravitational force between a planet of mass M and a satellite of mass in at distance r is 2.5 x 10' N. what is the force exerted on a larger satellite of mass 2m, at a distance 0.r away from planet M? 5) 2 work 6. Three balls are placed as shown. 4.5 kg 3.0 kg Y 1.6 kg Z What is the magnitude and direction of the gravitational force 2.4 m 1.2 m exerted on mass Y by mass X and mass Z? 6) $ works Page 4 of 97. Saturn's moon Enceladus has a mass of 1.08 x 10 kg and a radius of 2.52 x 10 m. What speeed would be required for a 75.0 ke satellite to be m a stable orbit 165 km above the surface of this moon? 7 4 marks 8. A 4.0x 10 kg satellite orbits an unknown planct once every 1.0 % 1 s in a circular orbit of radius 2.0 x 107 m. What is the mass of the planet? &) 4 marks Page S of & 9. The Hubble Space Telescope has a mass of 1.16 x 10* kg, and orbits the Earth at an altitede of 5.68 x 10 m above Earth's surface. Relative to infinity, determine the potential energy of the telescope at this location. o 3 marks 10, How much work is done to lift a 325 kg satellite from the surface of the Earth to a distance 3.75 x 10" m from the Earth's center? 10y 4 marks Pageafg 11. A space capsule having a mass of 9.00 x 107 kg is launched vertically upward from the Earth's surface with an initial kinetic energy of 7.00 x 10 J. Ignoring air resistance, determine the maximum distance from the center of the Earth attained by the capsule. 1y 4 marks 12. A satellite of mass 2000 kg is in an elliptical orbit around the Earth. At perigee (the point nearest the Earth) the satellite is located a distance of 8200 x 10 m from the Earth's center, wravelling at #.26 x 10 m/s. Conversely, at apogee (the point fiethest from Earth) the satellite is ravelling with a specd of 4.29 x 107 m/s. How far away from the Earth's center is the satellite at apogee? 12) 4 marks Page 7 of & 13. A 1.00 x 10' kg satellite orbiting at 3.00 x 10' m from the Earth's center encounters a mishap and falls to the Earth. a) Calculate the total energy of the satellite before it starts to fall. a) 5 marks b) With what velocity does it strike the ground? 3 marks Page ! of 914. A rocket has a mass of 2.5 x 10' kg. What is its escape velocity from the surface of a planet having a mass of 6.1 x 10"* kg and a radius of 4.2 x 10" m? 14) 4 marks 15. A comet enters the solar system, orbits the Sun, and leaves again. When it is near the Sun, its E. (relative to 0 at infinity) plus its Er is less than zero. Will the comet ever return? Use physics principles to explain your answer. 3 works Page 9 of 9