Circular Motion 1

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1 Circular Motion Define Uniform circular motion- 2. Show the position and instantaneous velocity vectors at several time intervals for an object moving in a circular path 3. How could the magnitude of the tangential velocity be calculated if the object is in constant motion? 4. What would be the direction of the instantaneous acceleration? 5. Give a formula that would give the magnitude of the acceleration

2 Circular Motion 2 : PG 236 #1 A Rope attaches a tire to an over hanging tree limb. A girl swinging on the tire has a centripetal acceleration of 3.0 m/s 2. If the length of the rope is 2.1 m. what is the girl s tangential speed? 6. Combine the equations for velocity (#2) and acceleration (#6) : If a girl sits 1.2 m from the center of a merry-go-round what is her centripetal acceleration if the period of her revolution is 3.4 s? Pg 236 #4 A race car moving along a circular track has a centripetal acceleration of 15.4 m/s2. If the car has a tangential speed of 30.0 m/s, what is the distance between the car and the center of the track? 7. How can a motion with constant speed be an accelerated motion?

3 Circular Motion 3 8. Show that the expression v 2 / R for centripetal acceleration has the units of acceleration 9. What is Centripetal Force and how is it found? 10 What is the formula for centripetal force? : Pg 238 # 1 A 2.10 m rope attaches a tire to an overhanging tree limb. A girl swinging on the tire has a tangential speed of 2.50 m/s. If the magnitude of the centripetal force is 88.o N, what is the girl s mass? 11 Suppose the speed of an object moving in a circular path of radius R is doubled. How does this affect the magnitude of the centripetal force 12 Suppose the speed of an object moving in a circular path stays constant and the radius r is doubled. How does this affect the magnitude of the centripetal force

4 Gravitation 4 Pg 238 # 3 A dog sits 1.50 m from the center of a merry-go-round and revolves at a tangential speed of 1.80 m/s. If the dog s mass is 18.5 kg, what is the magnitude of the centripetal force on the dog? 13. Identify the Centripetal Forces A car rounds a curve on a flat road of radius 50 m at a speed of 14 m/s. Will the car make the turn, or will it skid, if A) the pavement is dry and the µ =.60 B) the pavement is icy and µ =.25 Can the banking of a road allow a car to go around a curve if there is no friction?

5 Gravitation 5 What is the angle for an expressway off-ramp curve of radius 50. m at a design speed of 14 m/s : A 2.0 kg ball is swung in a circle at the end of a 1.5 m string. How long would it take the ball to complete 1.0 revolutions if the tension in the string is 3.2 N? 14. Describe what happens to the centripetal force in a vertical circle History Lesson 15. Who was the first to discuss the structure of the universe and what did he say? 16. What is retrograde motion and how did it change how the universe was seen? 17. What was Galileo s contribution to cosmology? 18. Who was Tycho Brahe and what were his contributions?

6 Gravitation Give Keppler s three laws and explain what they showed a. First Law ( law of ellipses) b. 2 nd law ( law of equal areas) c. 3 rd law ( law of harmony) 20 Explain Issac Newton s contributions 21. What is the gravitational Force? 22. Give Newton s law of universal gravitation and identify the variables

7 Gravitation So what are the two things that effect the gravitational force? Give their relation to centripetal force? 24. What is an inverse square law Distance Doubles Triples Quadruples Gravitational Force 25. What is the universal gravitation constant and who came up with it? Mars has a mass of about 6.4 x kg, and its moon Phobos has a mass of about 9.6 x kg. If the magnitude of the gravitational force between the two bodies is 4.6 x N, how far apart are Mars and Phobos?

8 Gravitation 8 What is the force of gravity acting on a kg spacecraft when it orbits two Earth radii from the Earth s center(r E = 6380 km and m E = 5.98 x kg) At what height above the Earth s surface would a satellite be placed to be geosynchronous? Find the net force on the Moon (m M = 7.35x kg) due to the gravitational attraction of both the Earth (m E = 5.98 x kg ) and the Sun (m S = 1.99 x kg), Assuming they are at right angles ( x E - M = 3.84 x 10 8 m, x s - M = 1.50 x m) 26. So, what are the implications of Universal Gravitation? 27. What is the relationship between the acceleration due to gravity and universal gravitation?

9 Gravitation So, what is g really? Define gravitational field strength- 29. Which experiences a greater gravitational field strength the Moon or a satellite the same distance the Moon away from the Earth? 30. So, do you weigh the same everywhere on the Earth? 31. Why is the section on gravitation in the same chapter as circular motion? 32. What keeps the planet in its orbit? What implications does this have?

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