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Unformatted text preview: Chapter C - Problems Blinn College - Physics 2425 - Terry Honan Problem C.1 Two points have cartesian coordinates H 3 m,- 8 m L and H- 5 m, 5 m L . (a) Convert these points to polar coordinates. (b) What is the distance between these points? Problem C.2 Two points have polar coordinates H r , q L = H 5 m, 25 ° L and H r , q L = H 8 m, 120 ° L . (a) Convert these points to cartesian (rectangular) coordinates. (b) What is the distance between these points? Problem C.3 A car drives around a traffic circle with a radius of 20 m. (a) When the car drives half way around the circle, what is the magnitude of the displacement vector and the total distance driven? (b) When the car drives once around a full circle, what is the magnitude of the displacement vector and the total distance driven? Problem C.4 (a) Obtain a component expression for a position vector when its magnitude and direction are given by r = 40 m and q = 155 °. (b) A car moves at 70 mi ê hr in the direction 12° south of west. Obtain a component expression for the velocity of the car. (c) A rope pulls with a force of 40 N in the direction given by q = - 75 °. Obtain a component expression for the force vector. Problem C.5 A person walks in successive displacements of 20 m west and then 30 m in the direction 25 ° East of North. What is the person's net displacement? Problem C.6 Define the vectors A and B by A = X 5,- 6, 2 \ = 5 x `- 6 y ` + 2 z ` and B = X- 3, 5,- 7 \ = - 3 x ` + 5 y `- 7 z ` (a) What is the vector C = A + B ? Also give the magnitude of C and specify its direction by finding C ` , a unit vector in the direction of C . (b) What is the vector D = A- 2 B ? Also give the magnitude of D and specify its direction by finding D ` , a unit vector in the direction of D . Problem C.7 A soccer ball is kicked in four consecutive displacements as shown. What is the resultant displacement of the ball? Also give the magnitude and direction of the resultant. Problem C.8 A golfer putts a ball toward a hole 5 yards to the north. If his first putt is 6 yards in the direction 15 ° east of north, then what displacement vector is needed for the second putt to hit the hole. Also give the magnitude and direction of the second putt'sdisplacement vector is needed for the second putt to hit the hole....
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This document was uploaded on 02/01/2010.
- Spring '09