Physics, Volume One: Chapters 1-17
10th Edition
ISBN: 9781118836880
Author: John D. Cutnell, Kenneth W. Johnson
Publisher: WILEY
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Chapter 11, Problem 21P
To determine
The maximum depth from which the pump can extract water from the well.
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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 11 Solutions
Physics, Volume One: Chapters 1-17
Ch. 11.2 - 1. As you climb a mountain, your ears “pop”...Ch. 11.2 - Prob. 2CYUCh. 11.2 - Prob. 3CYUCh. 11.3 - 4. A scuba diver is swimming under water, and the...Ch. 11.3 - Prob. 5CYUCh. 11.3 - Prob. 6CYUCh. 11.3 - Prob. 7CYUCh. 11.6 - 8. A glass is filled to the brim with water and...Ch. 11.6 - Prob. 9CYUCh. 11.6 - Prob. 10CYU
Ch. 11.6 - Prob. 11CYUCh. 11.6 - Prob. 12CYUCh. 11.6 - Prob. 13CYUCh. 11.7 - 14. In steady flow, the velocity of a fluid...Ch. 11.10 - Prob. 17CYUCh. 11.10 - Prob. 18CYUCh. 11.10 - Prob. 19CYUCh. 11.10 - Prob. 20CYUCh. 11.10 - Prob. 21CYUCh. 11.10 - Prob. 22CYUCh. 11 - Prob. 1FCCh. 11 - Prob. 4FCCh. 11 - Prob. 9FCCh. 11 - 10. Three solid objects are floating in a liquid,...Ch. 11 - Prob. 12FCCh. 11 - Prob. 13FCCh. 11 - Prob. 16FCCh. 11 - Prob. 18FCCh. 11 - Prob. 20FCCh. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - 9. A hypothetical spherical planet consists...Ch. 11 - Prob. 10PCh. 11 - 11. An airtight box has a removable lid of area...Ch. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - Prob. 14PCh. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - Prob. 17PCh. 11 - Prob. 18PCh. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Prob. 21PCh. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - Prob. 25PCh. 11 - Prob. 26PCh. 11 - 27. A water tower is a familiar sight in many...Ch. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - Prob. 37PCh. 11 - Prob. 38PCh. 11 - Prob. 39PCh. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - 44. A paperweight, when weighed in air, has a...Ch. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - Prob. 47PCh. 11 - 48. A hot-air balloon is accelerating upward under...Ch. 11 - 49. A hollow cubical box is 0.30 m on an edge....Ch. 11 - Prob. 50PCh. 11 - Prob. 51PCh. 11 - Prob. 52PCh. 11 - Prob. 53PCh. 11 - Prob. 54PCh. 11 - Prob. 55PCh. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - 60. Three fire hoses are connected to a fire...Ch. 11 - Prob. 61PCh. 11 - Prob. 62PCh. 11 - Prob. 63PCh. 11 - Prob. 64PCh. 11 - Prob. 65PCh. 11 - Prob. 66PCh. 11 - Prob. 67PCh. 11 - Prob. 68PCh. 11 - Prob. 69PCh. 11 - Prob. 70PCh. 11 - Prob. 71PCh. 11 - Prob. 72PCh. 11 - Prob. 73PCh. 11 - Prob. 74PCh. 11 - Prob. 75PCh. 11 - 76. Two circular holes, one larger than the other,...Ch. 11 - 77. Poiseuille’s law remains valid as long as the...Ch. 11 - Prob. 78PCh. 11 - Prob. 79PCh. 11 - Prob. 80PCh. 11 - Prob. 81PCh. 11 - Prob. 82PCh. 11 - Prob. 83PCh. 11 - Prob. 84PCh. 11 - Prob. 85APCh. 11 - Prob. 86APCh. 11 - Prob. 87APCh. 11 - Prob. 88APCh. 11 - Prob. 89APCh. 11 - Prob. 90APCh. 11 - Prob. 91APCh. 11 - Prob. 92APCh. 11 - Prob. 93APCh. 11 - Prob. 94APCh. 11 - Prob. 95APCh. 11 - Prob. 96APCh. 11 - Prob. 97APCh. 11 - 98. Mercury is poured into a tall glass. Ethyl...Ch. 11 - Prob. 99APCh. 11 - Prob. 100APCh. 11 - Prob. 101APCh. 11 - Prob. 102APCh. 11 - 103. A lighter-than-air balloon and its load of...Ch. 11 - Prob. 104APCh. 11 - 105. An aneurysm is an abnormal enlargement of a...Ch. 11 - Prob. 106CCPCh. 11 - Prob. 107CCP
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