Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 54P
(a)
To determine
Draw a map of the successive displacement.
(b)
To determine
The total distance of the riders travel in a bus.
(c)
To determine
The magnitude and direction of the total displacement.
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D(10.0 m)
|30"
53°
25°
C(12.0 m)
A (8.00 m)
Figure A1-1. Displacements on a Cartesian plane
Find the resultant using (a) the parallelogram method, and (b) by summing up
components. For the vectors in Figure A1-1, find the magnitude and direction of the
vector sum 2'A+ C - Busing the methods stipulated.
B (15.0 m)
A student takes a much needed break from her studies and wanders around in the Arnold Arboretum.
First, the student travels through a displacement
N (+y)
=
= 400 m, directed 40.0° W of S.
%3D
Then the student undergoes a displacement
D2= 800 m, directed 30.0° N of W.
E (+x)
%3D
Thus, the student undergoes a resultant displacement R=D, +D, ·
In the following, assume that the +y direction is defined as due North and
that the +x direction is defined as due East, as shown in the figure.
16. True or False: Displacement D, has a scalar x component equal to 306 m?
A. True.
B. False.
17. Displacement D, has a y component-vector equal to
A. 400 m.
B. - 400 m.
C. 693 m j.
î .
E. 400 m j.
D. 693 m
18. True or False: D1,x is positive while D2,x is negative?
A. True.
B. False.
19. The student's resultant displacement R has a magnitude of
A. 1044 m.
B. - 856 m.
C. 955 m.
D. 1200 m.
E. 400 m.
20. The student's resultant displacement is directed
A. 5.63° N of W.
B. 84.4° N of W.
C. 5.63° S of W.
D.…
49.
Given
two
displacement
vectors
A
= (3.00 i – 4.00 j +4.00k )m
and
B = (2.00 i + 3.00 j
- 7.00 k )m,
find
the
displacements
and
their
magnitudes
for
(a)
C = Ả + B and (b) Ď = 2 Ả - B.
Chapter 1 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 1.2 - True or False: Dimensional analysis can give you...Ch. 1.3 - The distance between two cities is 100 mi. What is...Ch. 1.7 - Which of the following are vector quantities and...Ch. 1.8 - Prob. 1.4QQCh. 1.8 - Prob. 1.5QQCh. 1.9 - Choose the correct response to make the sentence...Ch. 1.9 - If at least one component of a vector is a...Ch. 1.9 - If A + B = 0, the corresponding components of the...Ch. 1 - Answer each question yes or no. Must two...Ch. 1 - The price of gasoline at a particular station is...
Ch. 1 - Rank the following five quantities in order from...Ch. 1 - What is the y component of the vector (3i8k) m/s?...Ch. 1 - Prob. 5OQCh. 1 - Prob. 6OQCh. 1 - One student uses a meterstick to measure the...Ch. 1 - Prob. 8OQCh. 1 - What is the x component of the vector shown in...Ch. 1 - What is the y component of the vector shown in...Ch. 1 - Prob. 11OQCh. 1 - Prob. 12OQCh. 1 - Figure OQ1.13 shows two vectors D1 and D2. Which...Ch. 1 - A vector points from the origin into the second...Ch. 1 - Prob. 15OQCh. 1 - Prob. 16OQCh. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - A book is moved once around the perimeter of a...Ch. 1 - Prob. 6CQCh. 1 - Prob. 7CQCh. 1 - Prob. 8CQCh. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Figure P1.6 shows a frustum of a cone. Match each...Ch. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - Prob. 9PCh. 1 - Prob. 10PCh. 1 - Prob. 11PCh. 1 - Prob. 12PCh. 1 - Prob. 13PCh. 1 - Let AI represent the density of aluminum and Fe...Ch. 1 - Assume it takes 7.00 min to fill a 30.0-gal...Ch. 1 - Prob. 16PCh. 1 - Find the order of magnitude of the number of...Ch. 1 - Prob. 18PCh. 1 - To an order of magnitude, how many piano tuners...Ch. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Carry out the arithmetic operations (a) the sum of...Ch. 1 - Prob. 23PCh. 1 - Prob. 24PCh. 1 - A sidewalk is to be constructed around a swimming...Ch. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Two points in the xy plane have Cartesian...Ch. 1 - The polar coordinates of a point are r = 5.50 m...Ch. 1 - Prob. 32PCh. 1 - Prob. 33PCh. 1 - Prob. 35PCh. 1 - A plane flies from base camp to Lake A, 280 km...Ch. 1 - A roller-coaster car moves 200 ft horizontally and...Ch. 1 - Prob. 38PCh. 1 - Prob. 39PCh. 1 - Find the horizontal and vertical components of the...Ch. 1 - Prob. 41PCh. 1 - Vector B has x, y, and z components of 4.00, 6.00,...Ch. 1 - Prob. 43PCh. 1 - Three displacement vectors of a croquet ball are...Ch. 1 - Prob. 45PCh. 1 - Vector A has x and y components of 8.70 cm and...Ch. 1 - Prob. 47PCh. 1 - Use the component method to add the vectors A and...Ch. 1 - Prob. 49PCh. 1 - Consider the three displacement vectors A=(3i3j)m,...Ch. 1 - A person going for a walk follows the path shown...Ch. 1 - Prob. 52PCh. 1 - Prob. 53PCh. 1 - Prob. 54PCh. 1 - Prob. 55PCh. 1 - The distance from the Sun to the nearest star is...Ch. 1 - Prob. 57PCh. 1 - Prob. 58PCh. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Prob. 63PCh. 1 - Prob. 64PCh. 1 - A child loves to watch as you fill a transparent...Ch. 1 - One cubic centimeter of water has a mass of 1.00 ...Ch. 1 - Prob. 67PCh. 1 - Prob. 68PCh. 1 - A pirate has buried his treasure on an island with...Ch. 1 - Prob. 70PCh. 1 - Prob. 71P
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- Mr. M is walking to Mr. T’s house. He takes a short cut across an open field. His first displacement is 140m [E35N]. He then walks 200.0m [E]. What is Mr. M’s total displacement? (320m [E14N])arrow_forwardIna meeting of mimes, mime 1 goes through a displacement á 1 = ( 8.69 m )ì + (8.10 m )} ar 8 d and mime 2 goes through a d 2 = -9.93 m )î + (8.1 m )j.What are (a) d , × d 2, (b) d 2. (c) ( 1+ d 2)· d 2,and displacement (d) the component of á 1 along the direction of 2? Give your answers in standard SI units. (a) Numder Unit (b) Number i Unit (c) Number i Unit (d) Number Unit > > >arrow_forwardConsider the three displacement vectors: A = (3î – j)m B = (i – )m = (2î – j)m Determine the magnitude of Ř = Å + B + ċ О А. 6. 71 m O B. 7.71 m О С. 4.71 m O D. 5.71 marrow_forward
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