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Name _____________________________________ Enriched Physics – Plana Due Date _____________ Circular,Gravity,Satellites Circular motion, Gravity and Satellite REVIEW 1. Name 4 forces that can act as centripetal forces and give a scenario for each. 2. Draw a diagram of an object moving in a circle or arc. a.) Identify what force is providing the centripetal force. b.) Draw the vectors showing the tangential velocity and centripetal acceleration. 3. What happens to the centripetal acceleration of an object if: a.) the radius doubles? the radius halves? b.) the velocity doubles? the velocity halves? 4. A 0.9 kg model airplane flies is attached to string that is held by a young hobbyist. The radius of the circle is 12 m. What is the tension on the string if the plane flies at 15 m/s? 5. A car having a mass of 1500 kg is rounding a curve on dry asphalt having a radius of 50 meters. What is the maximum speed the car can drive without going off on a tangent! 6. Calculate the weight of a 70 kg astronaut on the moon. 7. What happens to the astronauts mass if the moons radius was doubled? 8. What happens to the astronauts weight if the mass of the moon was halved? If the radius of the moon were halved? 9. How far from the Earth’s surface would the astronaut above (question 5) need to be in order to have the same weight as he had on the moon? 10. What is the speed of a satellite that orbits the Earth at 2 Earth radii above the surface of the Earth? (Careful here with the distance.) 11. What is the period of the above satellite? 12. What is the value of “g” at the above height? 13. If the mass of the above satellite is doubled, how does its a. period change? b. speed change? c. weight change? 14. What is a geosynchronous satellite? Calculate its period. Find the radius of the orbit. Name _____________________________________ Enriched Physics – Plana Due Date _____________ Circular,Gravity,Satellites Circular Motion Gravity Any time an object moves in a circle or an arc, think Fc=mac r m1 2 r v F m2 Gm1m2 (General formula) r2 Fg mg (When "g" is known.) v2 ac r Satellites Start with Fc = Fg Derive orbital velocity as an exercise. KEPLER’s Laws 1. Planets orbit the sun in ellipses 2. Planets sweep equal areas in equal times 3. r 3 GM planet 2 4 2