Physics
11th Edition
ISBN: 9781119326342
Author: CUTNELL
Publisher: WILEY
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Chapter 6, Problem 12P
To determine
To find: The magnitude of the force.
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Students have asked these similar questions
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
-
C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Notation matters when working with vectors! In particular, it is important to
distinguish between the vector itself (A) and its magnitude (A).
Illustrate in four separate sketches that each of the following statements is
possible:
a) both R = A + B and R=A+B are correct
b) R = A + B is correct, but R=A+B is incorrect
c) R = A + B is incorrect, but R=A+B is correct
d) both R = A + B and R=A+B are incorrect
You know from your math courses that an infinitesimal segment of a
circular arc can be considered as a straight line segment. Imagine that you
cover a full circle in, say, the clockwise direction, with infinitesimal
displacement vectors dr. Then evaluate fdr and fdr (the circle symbol on
the integral just reminds us that we have to go around the full circle).
Chapter 6 Solutions
Physics
Ch. 6.1 - 1. Two forces and are acting on the box shown in...Ch. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - 6. A ball has a speed of 15 m/s. Only one external...Ch. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8CYUCh. 6.3 - Prob. 9CYUCh. 6.5 - 10. Suppose the total mechanical energy of an...
Ch. 6.5 - Prob. 11CYUCh. 6.5 - Prob. 12CYUCh. 6.5 - Prob. 13CYUCh. 6.6 - 14. A net external nonconservative force does...Ch. 6.6 - 15. In one case, a sports car, its engine running,...Ch. 6.7 - 16. Engine A has a greater power rating than...Ch. 6.7 - Prob. 17CYUCh. 6 - Prob. 1FCCh. 6 - Prob. 2FCCh. 6 - Prob. 8FCCh. 6 - Prob. 9FCCh. 6 - Prob. 11FCCh. 6 - Prob. 13FCCh. 6 - Prob. 14FCCh. 6 - Prob. 21FCCh. 6 - Prob. 22FCCh. 6 - Prob. 25FCCh. 6 - 1. During a tug-of-war, team A pulls on team B by...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - 6. A person pushes a 16.0-kg shopping cart at a...Ch. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - 1 0. A 55-kg box is being pushed a distance of 7.0...Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - 17. A water-skier is being pulled by a tow rope...Ch. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 24PCh. 6 - *2 5. A sled is being pulled across a horizontal...Ch. 6 - Prob. 26PCh. 6 - Prob. 27PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - 35. A 55.0-kg skateboarder starts out with a speed...Ch. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - 59. A 67.0-kg person jumps from rest off a...Ch. 6 - Prob. 60PCh. 6 - Prob. 62PCh. 6 - Prob. 63PCh. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - 67. The cheetah is one of the fastest-accelerating...Ch. 6 - 68. In 2.0 minutes, a ski lift raises four skiers...Ch. 6 - 72. The graph shows how the force component F cos...Ch. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76APCh. 6 - Prob. 77APCh. 6 - Prob. 80APCh. 6 - Prob. 81APCh. 6 - Prob. 82APCh. 6 - 84. A 63-kg skier coasts up a snow-covered hill...Ch. 6 - Prob. 85APCh. 6 - Prob. 88APCh. 6 - Prob. 91TP
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