(a) Explanation Section 1 : To determine: The Cartesian coordinates of the point having polar coordinates ( 2.50 m, 30 .0 ° ) . Answer: The Cartesian coordinates of the point having polar coordinates ( 2.50 m, 30 .0 ° ) are ( 2.17 , 1.25 ) m . Given information: The given two points have Polar coordinates ( 2.50 m, 30 .0 ° ) and ( 3.80 m, 120 .0 ° ) . Formula to calculate the x -coordinate for the first point is, x 1 = r 1 cos θ 1 x 1 is the x -coordinate of the first point. r 1 is the distance in the polar coordinates. θ 1 is the angle in the polar coordinates. Substitute 2.50 m for r 1 and 30.0 ° for θ 1 in above expression. x 1 = ( 2.50 m ) cos ( 30.0 ° ) = 2.17 m Formula to calculate the y -coordinate for the first point is, y 1 = r 1 sin θ 1 y 1 is the y -coordinate of the first point. Substitute 2.50 m for r 1 and 30.0 ° for θ 1 in above expression. y 1 = ( 2.50 m ) sin ( 30.0 ° ) = 1.25 m Conclusion: Therefore, the Cartesian coordinates of the point having polar coordinates ( 2.50 m, 30 .0 ° ) are ( 2.17 , 1.25 ) m . Section 2: To determine: The Cartesian coordinates of the point having polar coordinates ( 3 (b) To determine The distance between the two points.

Physics for Scientists and Engineers With Modern Physics

9th Edition

ISBN: 9781133953982

Author: SERWAY, Raymond A./

Publisher: Cengage Learning

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Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

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Chapter 3, Problem 4P

(a)

To determine

The Cartesian coordinates of the two points.

(b)

To determine

The distance between the two points.

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Chapter 3, Problem 3P

Chapter 3, Problem 5P

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