lecture notes-Chapter2

lecture notes-Chapter2 - Chapter 2: Motion Along a Line...

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1 Chapter 2: Motion Along a Line Acceleration Describing Motion in 1D Free Fall
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2 The position ( r ) of an object describes its location relative to some origin or other reference point. §2.2 Position & Displacement 0 x 2 0 x 1 The position of the red ball differs in the two shown coordinate systems.
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3 Vectors versus scalars: A vector is a quantity that has both a magnitude and a direction . Position is an example of a vector quantity. A scalar is a quantity with no direction. The mass of an object is an example of a scalar quantity.
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4 Notation: Vector: F F or The magnitude of a vector: . or or F F F Scalar: m (not bold face; no arrow) The direction of vector might be “35 ° south of east”; “20 ° above the +x-axis”; or…. F F or
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5
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6 Vector components: Vectors can also be specified by their x, y, and z components. For example, the components of the position vector are just the x, y, and z coordinates that specify an object’s location. 0 x(cm) r 2 1 -2 -1 The position of the ball is cm 2 + = = x r x The + indicates the direction.
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7 0 x(cm) r 2 1 -2 -1 The position of the ball is cm 2 - = = x r x The - indicates the direction.
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8 The displacement is the change in an object’s position. It depends only on the beginning and ending positions. i f r r r - =
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9 Example (text problem 2.6): Displacement vector A is directed to the west and has magnitude 2.56 km. A second displacement vector B is also directed to the west and has a magnitude 7.44 km. (a) What are the magnitude and direction of A + B? West km 44 7 West km 56 2 . . = = B A West km 0 10 West km 44 7 West km 56 2 . . . = + = + B A East North
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10 (b) What are the magnitude and direction of A - B? (c) What are the magnitude and direction of B - A? Example continued East km 88 4 West km 88 4 West km 44 7 West km 56 2 . . . . + = - = - = - B A West km 88 4 West km 56 2 West km 44 7 . . . = - = - A B
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Question 2 Ben leaves his home and walks to the bank, then to the park. What is the distance that Ben has walked? A. 2 blocks C. 5 blocks B. 3 blocks D. 7 blocks
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Question 3 Ben leaves his home and walks to the bank, then to the park. What is his displacement when he returns home? A. 0 blocks C. 7 blocks B. 5 blocks D. 10 blocks
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Ben leaves his home and walks to the bank, then to the park. What is his final displacement? A. 2 blocks east
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lecture notes-Chapter2 - Chapter 2: Motion Along a Line...

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