Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 3, Problem 7P
To determine
The width of river.
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A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, he walks x = 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is ? = 29.2°. How wide is the river?
A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, he walks x = 120 m along the riverbank to
establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is e = 41.2°. How wide is the river?
y =
L74. A sailor in a small sailboat encounters shifting winds. She
sails 2.00 km east, then 3.50 km southeast, and then an additional
distance in an unknown direction. Her final position is 5.80 km
directly east of the starting point (Fig. 1.39). Find the magnitude
Figure 1.39 Problem 1.74.
STAKT
FINISH
5.80 km-
Jas.0
45.0°
2.00 km
3.50
Third
leg
km
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 - What is the magnitude of the vector...Ch. 3 - A vector lying in the xy plane has components of...Ch. 3 - Figure OQ3.3 shows two vectors D1 and D2. Which of...Ch. 3 - The cutting tool on a lathe is given two...Ch. 3 - The magnitude of vector A 8 km, and the magnitude...
Ch. 3 - Prob. 6OQCh. 3 - Yes or no: Is each of the following quantities a...Ch. 3 - What is the y component of the vector (3i-8k)m/s?...Ch. 3 - What is the x component of the vector shown in...Ch. 3 - What is the y component of the vector shown in...Ch. 3 - Prob. 11OQCh. 3 - A submarine dives from the water surface at an...Ch. 3 - Prob. 13OQCh. 3 - Is it possible to add a vector quantity to a...Ch. 3 - Can the magnitude of a vector have a negative...Ch. 3 - A book is moved once around the perimeter of a...Ch. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 4PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Why is the following situation impossible? A...Ch. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - While exploring a cave, a spelunker starts at the...Ch. 3 - Use the component method to add the vectors A and...Ch. 3 - Prob. 23PCh. 3 - A map suggests that Atlanta is 730 miles in a...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 - A novice golfer on the green takes three strokes...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - In a game of American football, a quarterback...Ch. 3 - Prob. 31PCh. 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 - Prob. 34PCh. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Prob. 37PCh. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Express in unit-vector notation the following...Ch. 3 - radar station locates a sinking ship at range 17.3...Ch. 3 - Prob. 43PCh. 3 - Why is the following situation impossible? A...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Prob. 46PCh. 3 - In an assembly operation illustrated in Figure...Ch. 3 - A fly lands on one wall of a room. The lower-left...Ch. 3 - As she picks up her riders, a bus driver traverses...Ch. 3 - A jet airliner, moving initially at 300 mi/h to...Ch. 3 - A person going for a walk follows the path shown...Ch. 3 - Find the horizontal and vertical components of the...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - An air-traffic controller observes two aircraft on...Ch. 3 - In Figure P3.55, a spider is resting after...Ch. 3 - The rectangle shown in Figure P3.56 has sides...Ch. 3 - Prob. 57APCh. 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 - Prob. 61APCh. 3 - Prob. 62APCh. 3 - Prob. 63APCh. 3 - Prob. 64APCh. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A pirate has buried his treasure on an island with...
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- A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.arrow_forwardThree displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44arrow_forwardA skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?arrow_forward
- What is the x component of the vector shown in Figure OQ1.9? (a) 3 cm (b) 6 cm (c) 4cm (d) 6cm (e) none of those answers Figure OQ1.9 Objective Questions 9 and 10.arrow_forwardA person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51arrow_forwardA surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53arrow_forward
- A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is 0 = 35.0. How wide is the river? Figure P1.6arrow_forwardWhat is the y component of the vector shown in Figure OQ1.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answers Figure OQ1.9 Objective Questions 9 and 10.arrow_forwardA vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forward
- Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from the top of a tall building following the path shown in Figure P1.40. Figure P1.40arrow_forwardWhat is the y component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answersarrow_forwardAcos = xAsin = y why is it in this problem there is the presence of sin in x and cos in y? Question: A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45°east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement.arrow_forward
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