Givin Data: Volume of a sphere V= AT Mass = Volume (V) x density (p) G =6.67x10-1l m3/kg-s2 Mass of Earth = 5.97x1024 kg Radius of Earth = 6,378,000m 1. Two masses, 50.0 kg and 8.00 kg are separated by 4.00 meters. What is the gravitational pull between them? Show Work: A space shuttle is orbiting the Earth 622,000m above the Earth's surface. What is the strength of the gravity field (AKA the acceleration of gravity(g)) aboard the space shuttle? (Hint: don't forget the Earth data given at the top of this WS) Show Work: 3. Colon has a mass of 76.8kg. He has landed on his home planet Oscopy. He goes into his appointment with a gastroenterologist and they tell him he weighs 775.7N a. Does Oscopy have a stronger of weaker gravity on its surface compared to Earth? Justify your answer: b. If the planet Oscopy has the same radius as Earth, then what is its' mass? Show your Work: Answers: 1) 1.67 x 10-9 N, 2) 8.13 m/s2 3) Stronger, 6.16x1024 kg 4) 4 Earth Radii, 1 Earth Radii above surface or 2 Earth radii from its center, 5) 2x 6) 1.5x 7) c4. An alien spaceship is approaching Earth and senses a gravitational eld strength from earth UZS that of its value on Earth's surface. a. How many Earth radii are they away from Earth's surface. (The surface is not the same thing as its\" center) Show your work and justify your answer: b. The alien ship is now as close as they will come to Earth and settle in to observe humanity. The aliens love Jasmine rice and they always beam some aboard their ship from Safeway. Aboard the ship an alien named Quark is holding a bag of Jasmine rice from the planet surface labelled as lOlbs. On the ship it now weighs just 2.51bs. How close are they to Earth's surface now? (The surface is not the same thing as its\" center) Show your work and justify your answer: 5. A planet X with radius R is struck by another planet of the same density. With time, the two coalesce into a new planet of radius 2R. By what factor is the surface gravity of the new planet stronger or weaker than that of the original planet X? (Hint: its not just an increase in radius but also a change in planet mass). Mass = Volume (V) x density (p) Volume of a sphere: V : :31\" "' Show your work and justify your answer: Answers: 1] lo? x 10.; N. 2') S.l3 m-s) Stronger. 6.16xlOz' kg 4: 4 Earth Radii. 1 Earth Radii above surface or 2 Earth radii from its center. 5) 3}; 6| 1.5x 7: c 6. A planet of radius R and density p is struck by another planet with a much lower density. With time, the two coalesce into a new planet of radius 3R and a density of 1/2 p. By what factor is the surface gravity of the new planet stronger or weaker than that of the original planet X? Mass = Volume (V) x density (p) Volume of a sphere: V =ar Show your work and justify your answer: 7. Are you a champion? Two spheres of radius R and made of the same type of metal are placed in contact (see below). The magnitude of the gravitational force they exert on each other is Fi. If two spheres of radius 4R and made of this same metal are placed in contact, What is the magnitude of the gravitational force they exert on each other? 4R 4R R R a. F1 b. 4F1 c. 256F1 d. 16F1 e. 64F1 Show your work and justify your answer: Answers: 1) 1.67 x 10-9 N, 2) 8.13 m/s2 3) Stronger, 6.16x1024 kg 4) 4 Earth Radii, 1 Earth Radii above surface or 2 Earth radii from its center, 5) 2x 6) 1.5x 7) c