COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 3, Problem 75QAP
To determine
The factor by which the dimensions of a golf course on Moon and Mars be changed relative to a course on Earth.
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CHAPTER 3 Vectors
68
Example 3.3 The Sum of Two Vectors
Find the sum of two vectors A and B lying in the xy plane
and given by
A = (2.01 + 2.0j) m
B = (2.0î – 4.0j)
and
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ות
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Solution You may wish to draw the vectors to conceptualize
the situation. We calegorize this as a simple plug-in problem.
Comparing this expression for A with the general expres-
sion A = A, i + A,j, we see that A
Likewise, B = 2.0 m and B, = - 4.0 m. We obtain the resul-
tant vector R, using Equation 3.14:
2.0 m and A, = 2.0 m.
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R = A + B = (2.0 + 2.0)î m + (2.0 – 4.0)j m
= (4.0i – 2.0j) n
or
R= 4.0 m
R, = - 2.0 m
%3D
Chapter 3 Solutions
COLLEGE PHYSICS
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- Repeat the problem above, but reverse the order of the two legs of the walk; show that you get the same final result. That is, you first walk leg B, which is 20.0 m in a direction exactly 40° south of west, and then leg A, which is 12.0 m in a direction exactly 20° west of north. (This problem shows that A+B=B+A .)arrow_forwardSuppose you take two steps A and B (that is, two nonzero displacements). Under what circumstances can you end up at your starting point? More generally, under what circumstances can two nonzero vectors add to give zero? Is the maximum distance you can end up from the starting point A+B the sum of the lengths of the two steps?arrow_forwardSuppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B as in Figure 3.55, then this problem asks you to find their sum R=A+B .)arrow_forward
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- Component and polygon method. -You walk 20. blocks north, then 10. Blocks East, then 18 blocks South. What is your displacement?•-A certain river has a current that flows at 2.0 m/s West. If you point your boat, which can move at 5.0 m/s, directly across the stream to the North, what is your resultant velocity?arrow_forwardIV. VECTORS AND ADDITION OF VECTORS Write only the number for your answer. Do not include the unit. • Find the total displacement, in meter, of a person who went 6 km due west then went 3 km 15 deg. east of north and, finally, walked 5 km straight east A. What is the summation of x-components? (in km) B. What is the summation of y-components? (in km) C. What is the magnitude of the person's displacement? D. What is the absolute value of the angle of direction, in degrees? E. What is the direction of the resultant vector? Pls see the picturesarrow_forwardA gray kangaroo can bound across a flat stretch of ground with each jump carrying it 10m from the takeoff point. If the kangaroo leaves the ground at a 20* angle, what are its (a) take off speed and (b)horizontal speed ? Knight College Physics 4th Chapter 3 Q-33 Could you please explain the algebra substitution more in-depth I am confused as to why I missing the square root in my calculations.arrow_forward
- 8- Chapter 3- questn-10 What are the x-and y-components of the vector E? E, (+) E, (+) Option 1 Option 2 Option 3 Option 4 Option 5 E, E cos B, E, = E sin B, E, = -E cos B, E, = -E sin B. E, = -E cos B, !! %3! E, = E sin ß E, = E cos B E, = -E sin ß E, = -E cos B E, = E sin B %3D %3Darrow_forward58. . A motorcyclist drives at 22 m/s in a direction 35° east of north relative to a car, and at 8.0 m/s due north relative to Earth. (a) What is the magnitude of the car's velocity relative to Earth? (b) What is the direction of the car's velocity relative to Earth, measured counterclockwise from due east? Example 3-11arrow_forwardYou are at the edge of the cliff at a height of 50 m. calculate how long it would take for a stone to hit the ground in each of the three cases A) you just drop the stone from rest, B) you throw the stone with a speed of 18.5 m/s in a horizontal direction, C) you throw the stone with the same initial speed, but an angle of 30° above the horizontal. D) Also calculate how far from the foot of the cliff the stone lands in each case described above ( i.e. the horizontal range in each case.)arrow_forward
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