Circular Motion and Gravitation.pdf

# 5 describe the relationship between the direction of

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5. Describe the relationship between the direction of the velocity vector and the direction of the acceleration for a body moving in a circle at constant speed. 6. A Puzzling Question to Think About: If an object is in uniform circular motion, then it is accelerating towards the center of the circle; yet the object never gets any closer to the center of the circle. It maintains a circular path at a constant radius from the circle's center. Suggest a reason as to how this can be. How can an object accelerate towards the center without ever getting any closer to the center?

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Circular and Satellite Motion © The Physics Classroom, 2009 Page 4 7. A "Thought Experiment": Suppose that an object is moving in a clockwise circle (or at least trying to move in a circle). Suppose that at point A the object traveled in a straight line at constant speed towards B'. In what direction must a force be applied to force the object back towards B? Draw an arrow on the diagram in the direction of the required force. Repeat the above procedure for an object moving from C to D'. In what direction must a force be applied in order for the object to move back to point D along the path of the circle? Draw an arrow on the diagram. If the acceleration of the body is towards the center, what is the direction of the unbalanced force? Using a complete sentence, describe the direction of the net force that causes the body to travel in a circle at constant speed. 8. Thinking Mathematically: Explore the quantitative dependencies of the acceleration upon the speed and the radius of curvature. Then answer the following questions. a. For the same speed, the acceleration of the object varies _____________ (directly, inversely) with the radius of curvature. b. For the same radius of curvature, the acceleration of the object varies _____________ (directly, inversely) with the speed of the object. c. As the speed of an object is doubled, the acceleration is __________________ (one-fourth, one-half, two times, four times) the original value. d. As the speed of an object is tripled, the acceleration is __________________ (one-third, one-ninth, three times, nine times) the original value. e. As the radius of the circle is doubled, the acceleration is __________________ (one-fourth, one-half, two times, four times) the original value. f. As the radius of the circle is tripled, the acceleration is __________________ (one-third, one-ninth, three times, nine times) the original value. Conclusion: Write a conclusion to this lab in which you completely and intelligently describe the characteristics of an object that is traveling in uniform circular motion. Give attention to the quantities speed, velocity, acceleration and net force.
Circular and Satellite Motion Name: © The Physics Classroom, 2009 Page 5 Circular Motion and Inertia Read from Lesson 1 of the Circular and Satellite Motion chapter at The Physics Classroom : MOP Connection: Circular Motion and Gravitation: sublevels 3 and 4 Review Questions: 1. Newton's first law states: An object at rest will .

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