Conceptual Physics (12th Edition)
12th Edition
ISBN: 9780321909107
Author: Paul G. Hewitt
Publisher: PEARSON
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Chapter 13, Problem 7RCQ
To determine
The reason a buoyant force act upward on an object submerged in water.
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Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
= Acos α₂
A₂- Acos α3
solve for Vo
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
Chapter 13 Solutions
Conceptual Physics (12th Edition)
Ch. 13 - Prob. 1RCQCh. 13 - Prob. 2RCQCh. 13 - What is the relationship between liquid pressure...Ch. 13 - Prob. 4RCQCh. 13 - Prob. 5RCQCh. 13 - Prob. 6RCQCh. 13 - Prob. 7RCQCh. 13 - Why isn’t there a horizontal buoyant force on a...Ch. 13 - Prob. 9RCQCh. 13 - Prob. 10RCQ
Ch. 13 - Prob. 11RCQCh. 13 - Prob. 12RCQCh. 13 - If a 1-L container is immersed halfway into water,...Ch. 13 - Prob. 14RCQCh. 13 - Prob. 15RCQCh. 13 - Prob. 16RCQCh. 13 - Prob. 17RCQCh. 13 - How is the density of a fish controlled? How is...Ch. 13 - It was emphasized earlier that the buoyant force...Ch. 13 - Why do the gondolas of the Falkirk Wheel (see...Ch. 13 - Prob. 21RCQCh. 13 - Prob. 22RCQCh. 13 - Prob. 23RCQCh. 13 - Prob. 24RCQCh. 13 - Prob. 25RCQCh. 13 - How does the height to which water is lifted in a...Ch. 13 - Place an egg in a pan of tap water. Then dissolve...Ch. 13 - If you punch a couple of holes in the bottom of a...Ch. 13 - Float a water-soaked Ping-Pong ball in a can of...Ch. 13 - Soap greatly weakens the cohesive forces between...Ch. 13 - Sprinkle some black pepper on the surface of some...Ch. 13 - Pressure = force/area 31. Calculate the pressure a...Ch. 13 - Pressure= weight density X depth (Use 10,000 N/m3...Ch. 13 - Show that the water pressure at the bottom of the...Ch. 13 - Prob. 35RCQCh. 13 - The top floor of a building is 20 m above the...Ch. 13 - Calculate the average force per nail when Sara,...Ch. 13 - Suppose that you balance a 5-kg ball on the tip of...Ch. 13 - A 12-kg piece of metal displaces 2 L of water when...Ch. 13 - A 1-m-tall barrel is closed on top except for a...Ch. 13 - A dike in Holland springs a leak through a hole of...Ch. 13 - In lab you find that a 1-kg rock suspended above...Ch. 13 - A merchant in Katmandu sells you a solid gold 1-kg...Ch. 13 - In the hydraulic pistons shown in the sketch, the...Ch. 13 - Your friend of mass 100 kg can just barely float...Ch. 13 - Rank the pressures from greatest to least for the...Ch. 13 - Rank the following from greatest to least for the...Ch. 13 - Think about what happens to the volume of an...Ch. 13 - Prob. 49RCQCh. 13 - Prob. 50RCQCh. 13 - Prob. 51RCQCh. 13 - Prob. 52RCQCh. 13 - Prob. 53RCQCh. 13 - Prob. 54RCQCh. 13 - Prob. 55RCQCh. 13 - Prob. 56RCQCh. 13 - Prob. 57RCQCh. 13 - Prob. 58RCQCh. 13 - Prob. 59RCQCh. 13 - Prob. 60RCQCh. 13 - Prob. 61RCQCh. 13 - Prob. 62RCQCh. 13 - Prob. 63RCQCh. 13 - If you’ve wondered about the flushing of toilets...Ch. 13 - Prob. 65RCQCh. 13 - Prob. 66RCQCh. 13 - Prob. 67RCQCh. 13 - Why is it easier to float in saltwater than in...Ch. 13 - Prob. 69RCQCh. 13 - Prob. 70RCQCh. 13 - Prob. 71RCQCh. 13 - Prob. 72RCQCh. 13 - Prob. 73RCQCh. 13 - Prob. 74RCQCh. 13 - Prob. 75RCQCh. 13 - Why does an inflated beach ball pushed beneath the...Ch. 13 - Prob. 77RCQCh. 13 - Prob. 78RCQCh. 13 - Prob. 79RCQCh. 13 - Will a swimmer gain or lose buoyant force as she...Ch. 13 - Prob. 81RCQCh. 13 - The weight of the human brain is about 15 N. The...Ch. 13 - Prob. 83RCQCh. 13 - Prob. 84RCQCh. 13 - Prob. 85RCQCh. 13 - Prob. 86RCQCh. 13 - Prob. 87RCQCh. 13 - Prob. 88RCQCh. 13 - Prob. 89RCQCh. 13 - Prob. 90RCQCh. 13 - Prob. 91RCQCh. 13 - If you release a Ping-Pong ball beneath the...Ch. 13 - So you’re having a run of bad luck, and you slip...Ch. 13 - Prob. 94RCQCh. 13 - Prob. 95RCQCh. 13 - Prob. 96RCQCh. 13 - Prob. 97RCQCh. 13 - Prob. 98RCQCh. 13 - The photo shows physics instructor Marshall...Ch. 13 - Prob. 100RCQCh. 13 - Prob. 101RCQCh. 13 - There is a story about Pascal’s assistant climbing...Ch. 13 - Prob. 103RCQCh. 13 - A piece of iron placed on a block of wood makes...Ch. 13 - Prob. 105RCQCh. 13 - Prob. 106RCQCh. 13 - Prob. 107RCQCh. 13 - Would the water level in a canal lock go up or...Ch. 13 - Prob. 109RCQCh. 13 - Prob. 110RCQCh. 13 - Prob. 111RCQCh. 13 - Prob. 112RCQCh. 13 - Prob. 113RCQCh. 13 - Prob. 114RCQ
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