Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 90PP
Alice (A), Bob (B), and Carrie (C) all start from their dorm and head for the library for an evening study session. Alice takes a straight path, while the paths Bob and Carrie follow are portions of circular arcs, as shown in Fig. 3.28. Each student walks at a constant speed. All three leave the dorm at the same time, and they arrive simultaneously at the library.
Which statement characterizes the distances the students’ displacements?
- a. They’re equal.
- b. C > A > B
- c. C > B > A
- d. B > C > A
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Gordon likes to take his dog for a walk on the beach each morning. The beach near his home is quite large, so he can park his car on it. He has a routine that he likes to stick to. Gordon parks his car at a point C that is 34◦ west of south of a point L where the lifeguard sits. He then walks in a straight line from his car to L. Next, he changes direction and walks due south along the shoreline in a straight line for 1200 metres until he reaches a large rock R, where he turns again and heads straight back to his car, which is 740 metres from the large rock. (You may assume that the beach is flat and all distances are measured in a straight line.)
(a) Sketch a diagram of the situation, showing the points C for the position of Gordon’s car, L for the position of the lifeguard, and R for the position of the rock. Mark in the angle and the lengths that you are given. Join the three points with line segments to make the triangle CLR, given that the angle at C is an acute angle.
Gordon likes to take his dog for a walk on the beach each morning. The beach near his home is quite large, so he can park his car on it. He has a routine that he likes to stick to. Gordon parks his car at a point C that is 34◦ west of south of a point L where the lifeguard sits. He then walks in a straight line from his car to L. Next, he changes direction and walks due south along the shoreline in a straight line for 1200 metres until he reaches a large rock R, where he turns again and heads straight back to his car, which is 740 metres from the large rock. (You may assume that the beach is flat and all distances are measured in a straight line.)
(c) (i) Use the Sine Rule to find the angle at C. Give your answer correct to the nearest degree.(ii) Use your answer to part (c)(i) to find the angle at R. Give your answer correct to the nearest degree.(iii) Find the distance between Gordon’s car and the lifeguard. Give your answer correct to two significant figures.
Two spheres are launched horizontally from a 1.2 mm -high table. Sphere AA is launched with an initial speed of 4.5 m/sm/s . Sphere BB is launched with an initial speed of 2.5 m/sm/s .
A. What is the distance that sphere AA travels from the edge of the table?
Express your answer using two significant figures.
B. What is the distance that sphere BB travels from the edge of the table?
Express your answer using two significant figures.
Chapter 3 Solutions
Essential University Physics (3rd Edition)
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