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This document provides instructions for navigating a presentation on circular motion and gravitation. It begins with directions for viewing the presentation as a slideshow and advancing through it. It then lists the chapter's content sections and objectives. The remainder of the document consists of slides from the presentation covering topics like centripetal acceleration, force, Kepler's laws of planetary motion, and torque.

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How to Use This Presentation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Chapter Presentation Transparencies Sample Problems Visual Concepts Standardized Test Prep Resources
Table of Contents ,[object Object],[object Object],[object Object],[object Object],Circular Motion and Gravitation Chapter 7
Objectives ,[object Object],[object Object],[object Object],Chapter 7 Section 1 Circular Motion
Tangential Speed ,[object Object],[object Object],[object Object],Chapter 7 Section 1 Circular Motion
Centripetal Acceleration Chapter 7 Section 1 Circular Motion
Centripetal Acceleration ,[object Object],[object Object],Chapter 7 Section 1 Circular Motion
Centripetal Acceleration, continued ,[object Object],[object Object],[object Object],Chapter 7 Section 1 Circular Motion
Centripetal Acceleration, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 7 Section 1 Circular Motion
Centripetal Force ,[object Object],Chapter 7 ,[object Object],[object Object],Section 1 Circular Motion
Centripetal Force, continued ,[object Object],Chapter 7 Section 1 Circular Motion
Centripetal Force, continued Chapter 7 ,[object Object],[object Object],[object Object],[object Object],Section 1 Circular Motion
Centripetal Force, continued Chapter 7 ,[object Object],[object Object],[object Object],[object Object],Section 1 Circular Motion
Describing a Rotating System Chapter 7 ,[object Object],[object Object],[object Object],Section 1 Circular Motion
Describing a Rotating System, continued Chapter 7 Section 1 Circular Motion ,[object Object],[object Object],[object Object]
Objectives ,[object Object],[object Object],Section 2 Newton’s Law of Universal Gravitation Chapter 7
Gravitational Force ,[object Object],[object Object],Chapter 7 Section 2 Newton’s Law of Universal Gravitation Each successive cannonball has a greater initial speed, so the horizontal distance that the ball travels increases. If the initial speed is great enough, the curvature of Earth will cause the cannonball to continue falling without ever landing.
Gravitational Force, continued ,[object Object],[object Object],[object Object],Chapter 7 Section 2 Newton’s Law of Universal Gravitation
Gravitational Force, continued ,[object Object],Chapter 7 Section 2 Newton’s Law of Universal Gravitation ,[object Object]
Newton’s Law of Universal Gravitation Chapter 7 Section 2 Newton’s Law of Universal Gravitation
Gravitational Force, continued ,[object Object],[object Object],[object Object],[object Object],Chapter 7 Section 2 Newton’s Law of Universal Gravitation
Newton’s Law of Universal Gravitation Chapter 7 Section 2 Newton’s Law of Universal Gravitation
Applying the Law of Gravitation ,[object Object],[object Object],[object Object],Chapter 7 Section 2 Newton’s Law of Universal Gravitation
Applying the Law of Gravitation, continued ,[object Object],[object Object],[object Object],Chapter 7 Section 2 Newton’s Law of Universal Gravitation
[object Object],[object Object],[object Object],[object Object],Applying the Law of Gravitation, continued Chapter 7 Section 2 Newton’s Law of Universal Gravitation The gravitational field vectors represent Earth’s gravitational field at each point.
Applying the Law of Gravitation, continued ,[object Object],[object Object],Chapter 7 Section 2 Newton’s Law of Universal Gravitation ,[object Object]
Objectives ,[object Object],[object Object],[object Object],Section 3 Motion in Space Chapter 7
Kepler’s Laws ,[object Object],[object Object],[object Object],[object Object],Chapter 7 Section 3 Motion in Space
Kepler’s Laws, continued ,[object Object],[object Object],[object Object],Chapter 7 Section 3 Motion in Space
Kepler’s Laws, continued ,[object Object],Chapter 7 Thus, the planet travels faster when it is closer to the sun and slower when it is farther away. Section 3 Motion in Space
Kepler’s Laws, continued ,[object Object],[object Object],[object Object],Chapter 7 Section 3 Motion in Space
Kepler’s Laws, continued ,[object Object],Chapter 7 ,[object Object],[object Object],Section 3 Motion in Space
Planetary Data Chapter 7 Section 3 Motion in Space
Sample Problem ,[object Object],[object Object],Chapter 7 Section 3 Motion in Space
Sample Problem, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 7 2. Plan Choose an equation or situation: Use the equations for the period and speed of an object in a circular orbit. Section 3 Motion in Space
Sample Problem, continued Chapter 7 Use Table 1 in the textbook to find the values for the radius ( r 2 ) and mass ( m ) of Venus. r 2 = 6.05  10 6 m m = 4.87  10 24 kg Find r by adding the distance between the spacecraft and Venus’s surface ( r 1 ) to Venus’s radius ( r 2 ). r = r 1 + r 2 r = 3.61  10 5 m + 6.05  10 6 m = 6.41  10 6 m Section 3 Motion in Space
Sample Problem, continued Chapter 7 3. Calculate 4. Evaluate Magellan takes (5.66  10 3 s)(1 min/60 s)  94 min to complete one orbit. Section 3 Motion in Space
Weight and Weightlessness ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 7 Section 3 Motion in Space
Weight and Weightlessness Chapter 7 Section 3 Motion in Space
Objectives ,[object Object],[object Object],[object Object],[object Object],Section 4 Torque and Simple Machines Chapter 7
Rotational Motion ,[object Object],[object Object],[object Object],[object Object],[object Object],Section 4 Torque and Simple Machines Chapter 7
The Magnitude of a Torque ,[object Object],[object Object],[object Object],[object Object],[object Object],Section 4 Torque and Simple Machines Chapter 7
The Magnitude of a Torque, continued ,[object Object],[object Object],Section 4 Torque and Simple Machines Chapter 7
Torque Chapter 7 Section 4 Torque and Simple Machines
Torque and the Lever Arm Chapter 7 Section 4 Torque and Simple Machines In each example, the cat is pushing on the door at the same distance from the axis. To produce the same torque, the cat must apply greater force for smaller angles.
The Sign of a Torque ,[object Object],[object Object],Section 4 Torque and Simple Machines Chapter 7 Tip: To determine the sign of a torque, imagine that the torque is the only one acting on the object and that the object is free to rotate. Visualize the direction that the object would rotate. If more than one force is acting, treat each force separately.
The Sign of a Torque Chapter 7 Section 4 Torque and Simple Machines
Sample Problem ,[object Object],[object Object],Chapter 7 Section 4 Torque and Simple Machines
Sample Problem, continued ,[object Object],[object Object],[object Object],[object Object],Chapter 7 Section 4 Torque and Simple Machines Diagram: Unknown:  net = ?
Sample Problem, continued ,[object Object],[object Object],Chapter 7 Section 4 Torque and Simple Machines Tip: The factor sin  is not included in the torque equation because each given distance is the perpendicular distance from the axis of rotation to a line drawn along the direction of the force. In other words, each given distance is the lever arm.  = Fd  net =  1 +  2 = F 1 d 1 + F 2 d 2
Sample Problem, continued ,[object Object],[object Object],Chapter 7 Section 4 Torque and Simple Machines ,[object Object],[object Object],  1 = F 1 d 1 = (15 N)(–0.14 m) = –2.1 N•m  2 = F 2 d 2 = (–11 N)(0.070 m) = –0.77 N•m  net =  1 +  2 = –2.1 N•m – 0.77 N•m  net = –2.9 N•m
Simple Machines ,[object Object],[object Object],[object Object],Section 4 Torque and Simple Machines Chapter 7
Simple Machines Chapter 7 Section 4 Torque and Simple Machines
Simple Machines, continued ,[object Object],[object Object],[object Object],Section 4 Torque and Simple Machines Chapter 7
Simple Machines, continued Section 4 Torque and Simple Machines Chapter 7 The diagrams show two examples of a trunk being loaded onto a truck. ,[object Object],[object Object]
Simple Machines, continued ,[object Object],[object Object],[object Object],Section 4 Torque and Simple Machines Chapter 7 ,[object Object],[object Object]
Mechanical Efficiency Chapter 7 Section 4 Torque and Simple Machines
Multiple Choice ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],Standardized Test Prep Chapter 7 8. The three forces acting on the wheel have equal magnitudes. Which force will produce the greatest torque on the wheel? F. F 1 G. F 2 H. F 3 J. Each force will produce the same torque.
Multiple Choice, continued ,[object Object],[object Object],Standardized Test Prep Chapter 7 8. The three forces acting on the wheel have equal magnitudes. Which force will produce the greatest torque on the wheel? F. F 1 G. F 2 H. F 3 J. Each force will produce the same torque.
Multiple Choice, continued ,[object Object],[object Object],Standardized Test Prep Chapter 7 9. If each force is 6.0 N, the angle between F 1 and F 2 is 60.0°, and the radius of the wheel is 1.0 m, what is the resultant torque on the wheel? A. –18 N•m C. 9.0 N•m B. –9.0 N•m D. 18 N•m
Multiple Choice, continued ,[object Object],[object Object],Standardized Test Prep Chapter 7 9. If each force is 6.0 N, the angle between F 1 and F 2 is 60.0°, and the radius of the wheel is 1.0 m, what is the resultant torque on the wheel? A. –18 N•m C. 9.0 N•m B. –9.0 N•m D. 18 N•m
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Multiple Choice, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Standardized Test Prep Chapter 7
Short Response ,[object Object],Standardized Test Prep Chapter 7
Short Response ,[object Object],Standardized Test Prep Chapter 7 Answer: The water remains in the pail even when the pail is upside down because the water tends to move in a straight path due to inertia.
Short Response, continued ,[object Object],Standardized Test Prep Chapter 7
Short Response, continued ,[object Object],[object Object],Standardized Test Prep Chapter 7
Short Response, continued ,[object Object],Standardized Test Prep Chapter 7
Short Response, continued ,[object Object],[object Object],Standardized Test Prep Chapter 7
Extended Response ,[object Object],Standardized Test Prep Chapter 7
Extended Response ,[object Object],Standardized Test Prep Chapter 7 Answer: 687 days
Centripetal Acceleration Chapter 7 Section 1 Circular Motion
Centripetal Force Chapter 7 Section 1 Circular Motion
Kepler’s Laws Chapter 7 Section 3 Motion in Space
The Magnitude of a Torque Section 4 Torque and Simple Machines Chapter 7
Simple Machines Section 4 Torque and Simple Machines Chapter 7

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Hp 07 win

  • 1.
  • 2. Chapter Presentation Transparencies Sample Problems Visual Concepts Standardized Test Prep Resources
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  • 6. Centripetal Acceleration Chapter 7 Section 1 Circular Motion
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  • 20. Newton’s Law of Universal Gravitation Chapter 7 Section 2 Newton’s Law of Universal Gravitation
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  • 22. Newton’s Law of Universal Gravitation Chapter 7 Section 2 Newton’s Law of Universal Gravitation
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  • 33. Planetary Data Chapter 7 Section 3 Motion in Space
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  • 36. Sample Problem, continued Chapter 7 Use Table 1 in the textbook to find the values for the radius ( r 2 ) and mass ( m ) of Venus. r 2 = 6.05  10 6 m m = 4.87  10 24 kg Find r by adding the distance between the spacecraft and Venus’s surface ( r 1 ) to Venus’s radius ( r 2 ). r = r 1 + r 2 r = 3.61  10 5 m + 6.05  10 6 m = 6.41  10 6 m Section 3 Motion in Space
  • 37. Sample Problem, continued Chapter 7 3. Calculate 4. Evaluate Magellan takes (5.66  10 3 s)(1 min/60 s)  94 min to complete one orbit. Section 3 Motion in Space
  • 38.
  • 39. Weight and Weightlessness Chapter 7 Section 3 Motion in Space
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  • 44. Torque Chapter 7 Section 4 Torque and Simple Machines
  • 45. Torque and the Lever Arm Chapter 7 Section 4 Torque and Simple Machines In each example, the cat is pushing on the door at the same distance from the axis. To produce the same torque, the cat must apply greater force for smaller angles.
  • 46.
  • 47. The Sign of a Torque Chapter 7 Section 4 Torque and Simple Machines
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  • 53. Simple Machines Chapter 7 Section 4 Torque and Simple Machines
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  • 57. Mechanical Efficiency Chapter 7 Section 4 Torque and Simple Machines
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  • 92. Centripetal Acceleration Chapter 7 Section 1 Circular Motion
  • 93. Centripetal Force Chapter 7 Section 1 Circular Motion
  • 94. Kepler’s Laws Chapter 7 Section 3 Motion in Space
  • 95. The Magnitude of a Torque Section 4 Torque and Simple Machines Chapter 7
  • 96. Simple Machines Section 4 Torque and Simple Machines Chapter 7