University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 2, Problem 61P
In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plane is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2500 m, climbing at 100 above the horizontal, and moving
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In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plane is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2500 m, climbing at 10° above the horizontal, and moving 30° north of west. The DC-3 is at an altitude of 3000 m, climbing at 5° above the horizontal, and cruising directly west. (a) Find the position vectors of the planes relative to the control tower. (b) What is the distance between the planes at the moment the air traffic controller makes a note about their positions?
Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction 15.0° south of east and thenwalks 30 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative to the positive x-axis within the range (-180°, 180°] should it walk?
Oasis B is 9.0km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction
15.0° south of east and then
walks 34 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction
(relative to the positive x-axis within the range (-180°, 180°]) should it walk?
Gruen data : Distance between A AND B'is d = 9,0 Km
Please Note:
step I
step 2
all the answeRs are
correct,
The vector diagram of displacement of camel is shown below.
A From step 4 (b)
Please explain (Cindetail
Why y ou use the 270°
Qnd - tan () insteod
of ton" )
Theunk jou!
N
R
d2
W-
B
E
C
E
In above figure:
Step 4
d, = 20 km
(а)
d, = 34 km
The distance travelled by the camel to reach the oasis B is:
JBC + DC
DB =
Step 3
(10.318 km ) +(28.823 km )*
= 30.6 km
From geometrical property:
(b) * Explaruthion, Please
BC = AC – AB
= d̟ cos15° - d
= (20 km ) cos15° – 9.0 km 0 = 270° – ZCDB
= 10.318 km
The direction of displacement relative to positive x-axis is
ВС
= 270°- tan
DC
DC = DE - CE…
Chapter 2 Solutions
University Physics Volume 1
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(b) If AF=BF...Ch. 2 - You fly 32.0 km in a straight line in still air in...Ch. 2 - Rectangular coordinates of a point are given by...Ch. 2 - If the polar coordinates of a point are (r,)and...Ch. 2 - Prob. 74APCh. 2 - Starting at the island of Moi in an unknown...Ch. 2 - An air traffic controller notices two signals from...Ch. 2 - Show that when A+B=C then A2+B2+2ABcos , where is...Ch. 2 - Four force vectors each have the same magnitude...Ch. 2 - A skater glides along a circular path of radius...Ch. 2 - A stubborn dog is being walked on a leash by its...Ch. 2 - If the velocity vector of a polar bear is u=(-18.0...Ch. 2 - Find the scalar components of three-dimensional...Ch. 2 - A diver explores a shallow reef off the coast of...Ch. 2 - A force vector A has x and y components,...Ch. 2 - Vectors A and B are two orthogonal vectors in the...Ch. 2 - For the three-dimensional vectors in the following...Ch. 2 - Show that (BC)A is the volume of the...Ch. 2 - Vector B is 5.0 cm long and vector A is 4.0 cm...Ch. 2 - What is the component of the force vector G=(3.0...Ch. 2 - The following figure shows a triangle formed by...Ch. 2 - between points in a plane do not change when a...
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