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PHY101_Chap3Fall09

# PHY101_Chap3Fall09 - Chapter 3 Vectors and Two-dimensional...

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Chapter 3 Vectors and Two-dimensional motion

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Vector vs. Scalar All physical quantities will be either a scalar or a vector • A vector quantity has both magnitude (size) and direction (sign) • A scalar is completely specified by only a magnitude (size) Equality of Two Vectors – Two vectors are equal if they have the same magnitude and the same direction
Quiz 1 Which of the following is a vector? 1. velocity 2. temperature 3. volume 4. mass

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A jogger runs halfway around a circular path with a radius of 60 m. What, respectively, are the magnitude of the displacement and the distance jogged? 1. 60 m, 188 m 2. 120 m, 188 m 3. 0 m, 377 m 4. 120 m, 377 m Quiz 2
3.1 Vectors and their properties Negative Vectors – Two vectors are negative if they have the same magnitude but are in opposite directions Resultant Vector – The resultant vector is the sum of a given set of vectors

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Adding vectors Continue drawing the vectors “tip-to-tail” The resultant is drawn from the origin of to the end of the last vector Measure the length of and its angle
Addition of vectors When you have many vectors, just keep repeating the process until all are included The resultant is still drawn from the origin of the first vector to the end of the last vector

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Notes about Vector Addition Vectors obey the Commutative Law of Addition – The order in which the vectors are added doesn’t affect the result
Vector Subtraction Special case of vector addition Add the negative of the subtracted vector Continue with standard vector addition procedure

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Quiz 3 Vector A is 3 m long and vector B is 4 m long. The length of the sum of the vectors must be 1. 7 m 2. 5 m 3.12 m 4.Somewhere between 1 and 7 m
3.2 Components of a Vector • A component is a part It is useful to use rectangular components – These are the projections of the vector along the x- and y-axes

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PHY101_Chap3Fall09 - Chapter 3 Vectors and Two-dimensional...

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