Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 33P
(a)
To determine
The position vector of point
(b)
To determine
The position vector of point
(c)
To determine
Whether the position vector of point
(d)
To determine
The position vector of point
(e)
To determine
Whether the position vector of point
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A rectangular parallelepiped has dimensions a, b, and c as
shown in Figure P3.45. (a) Obtain a vector expression for
the face diagonal vector R,. (b) What is the magnitude
of this vector? (c) Notice that R, ck, and R, make a right
triangle. Obtain a vector expression for the body diagonal
vector R2.
b
Ro
R1
Figure P3.45
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.)
(iii) Find the distance between Gordon’s car and the lifeguard. Give your answer correct to two significant figures.
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.
Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 3.2 - Which of the following are vector quantities and...Ch. 3.3 - Prob. 3.2QQCh. 3.3 - If vector B is added to vector A, which two of the...Ch. 3.4 - Choose the correct response to make the sentence...Ch. 3.4 - Prob. 3.5QQCh. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 2PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Prob. 4PCh. 3 - Why is the following situation impossible? A...
Ch. 3 - Prob. 6PCh. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - Prob. 11PCh. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - Prob. 17PCh. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - The vector A has x, y, and z components of 8.00,...Ch. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Use the component method to add the vectors A and...Ch. 3 - Prob. 26PCh. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Prob. 29PCh. 3 - In an assembly operation illustrated in Figure...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - Prob. 33PCh. 3 - Prob. 34APCh. 3 - A person going for a walk follows the path shown...Ch. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - Prob. 40APCh. 3 - Prob. 41APCh. 3 - Prob. 42APCh. 3 - Prob. 43APCh. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - A pirate has buried his treasure on an island with...
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