University Physics Volume 1
1st Edition
ISBN: 9781630182137
Author: Samuel J Ling Jeff, Sanny, William Moebs
Publisher: OpenStax
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Textbook Question
Chapter 1, Problem 59P
Estimate the number of molecules that make up Earth, assuming an average molecular mass of 30 g/mol. (Note there are on the order of
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8.114 CALC A Variable-Mass Raindrop. In a rocket-propul-
sion problem the mass is variable. Another such problem is a rain-
drop falling through a cloud of small water droplets. Some of these
small droplets adhere to the raindrop, thereby increasing its mass
as it falls. The force on the raindrop is
dp
dv
dm
Fext
=
+
dt
dt
dt
=
Suppose the mass of the raindrop depends on the distance x that it
has fallen. Then m kx, where k is a constant, and dm/dt = kv.
This gives, since Fext
=
mg,
dv
mg = m
+ v(kv)
dt
Or, dividing by k,
dv
xgx
+ v²
dt
This is a differential equation that has a solution of the form
v = at, where a is the acceleration and is constant. Take the initial
velocity of the raindrop to be zero. (a) Using the proposed solution
for v, find the acceleration a. (b) Find the distance the raindrop has
fallen in t = 3.00 s. (c) Given that k = 2.00 g/m, find the mass of
the raindrop at t = 3.00 s. (For many more intriguing aspects of
this problem, see K. S. Krane, American Journal of…
8.13 A 2.00-kg stone is sliding Figure E8.13
F (kN)
to the right on a frictionless hori-
zontal surface at 5.00 m/s when
it is suddenly struck by an object
that exerts a large horizontal
force on it for a short period of 2.50
time. The graph in Fig. E8.13
shows the magnitude of this force
as a function of time. (a) What
impulse does this force exert on
t (ms)
15.0
16.0
the stone? (b) Just after the force stops acting, find the magnitude
and direction of the stone's velocity if the force acts (i) to the right
or (ii) to the left.
Please calculate the expectation value for E and the uncertainty in E for this wavefunction trapped in a simple harmonic oscillator potential
Chapter 1 Solutions
University Physics Volume 1
Ch. 1 - Check Your Understanding Restate 4.79105kg using a...Ch. 1 - Check Your Understanding Light navels about 9 Pm...Ch. 1 - Check Your Understanding We know horn Figure 1.4...Ch. 1 - Check Your Understanding Given that 1 lb (pound)...Ch. 1 - Check Your Understanding Suppose we want the...Ch. 1 - Check Your Understanding Is the equation...Ch. 1 - Check Your Understanding Figure 1.4 says the mass...Ch. 1 - Check Your Understanding A high school track coach...Ch. 1 - The Scope and Scale of Physics What is physics?Ch. 1 - The Scope and Scale of Physics Some have described...
Ch. 1 - The Scope and Scale of Physics If two different...Ch. 1 - The Scope and Scale of Physics What determines the...Ch. 1 - The Scope and Scale of Physics Certain criteria...Ch. 1 - The Scope and Scale of Physics Can the validity of...Ch. 1 - Units and Standards Identify some advantages of...Ch. 1 - Units and Standards What are the SI base units of...Ch. 1 - Units and Standards What is the difference between...Ch. 1 - For each of the following scenarios, refer to...Ch. 1 - Significant Figures (a) What is the relationship...Ch. 1 - Solving Problems in Physics What information do...Ch. 1 - Solving Problems in Physics What should you do...Ch. 1 - The Scope and Scale of Physics Find the order of...Ch. 1 - Use the orders of magnitude you found in the...Ch. 1 - Roughly how many heartbeats are there in a...Ch. 1 - A generation is about one-third of a lifetime....Ch. 1 - Roughly how many times longer than the mean life...Ch. 1 - Calculate the approximate number of atoms in a...Ch. 1 - (a) Calculate the number of cells in a hummingbird...Ch. 1 - Assuming one nerve impulse must end before another...Ch. 1 - About how many floating-point operations can a...Ch. 1 - Roughly how many floating-point operations can a...Ch. 1 - The following times are given using metric...Ch. 1 - The following times are given in seconds. Use...Ch. 1 - The following lengths are given using metric...Ch. 1 - The following lengths are given in meters. Use...Ch. 1 - The following masses are written using metric...Ch. 1 - The following masses are given in kilograms. Use...Ch. 1 - The volume of Earth is on the order of 1021m3 ....Ch. 1 - The speed limit on some interstate highways is...Ch. 1 - A car is traveling at a speed of 33 m/s. (a) What...Ch. 1 - In SI units, speeds are measured in meters per...Ch. 1 - American football is played on a 100-yd-long...Ch. 1 - Soccer fields vary in size. A large soccer field...Ch. 1 - What is the height in meters of a person who is...Ch. 1 - Mount Everest, at 29,028ft , is the tallest...Ch. 1 - The speed of sound is measured to be 342 m/s on a...Ch. 1 - Tectonic plates are large segments of Earth’s mist...Ch. 1 - The average distance between Earth and the Sun is...Ch. 1 - The density of nuclear matter is about 1018kg/m3 ....Ch. 1 - The density of aluminum Is 2.7g/cm3 . What is the...Ch. 1 - A commonly used turn of mass in the English system...Ch. 1 - A furlong is 220 yd. A fortnight is 2 weeks....Ch. 1 - It takes 2 radians (rad) to get around a circle,...Ch. 1 - Light travels a distance of about 3108m/s . A...Ch. 1 - A light-nanosecond is the distance light travels...Ch. 1 - An electron has a mass of 9.1110-31kg . A proton...Ch. 1 - A fluid ounce is about 30mL. What is the voIume of...Ch. 1 - A student is trying to remember some formulas from...Ch. 1 - Consider the physical quantities s,v,a, and t with...Ch. 1 - Consider the physical quantities m,s,v,a, and t...Ch. 1 - Suppose quantity s is a length and quantity t is a...Ch. 1 - Suppose [V]=L3,[]=ML3, and [t]=T . (a) What is the...Ch. 1 - The arc length formula says the length sof arc...Ch. 1 - Estimates and Fermi Calculations Assuming the...Ch. 1 - Assuming the human body is primarily made of...Ch. 1 - Estimate the mass of air in a classroom.Ch. 1 - Estimate the number of molecules that make up...Ch. 1 - Estimate the surface area of a person.Ch. 1 - Roughly how many solar systems would it take to...Ch. 1 - (a) Estimate the density of the Moon. (b) Estimate...Ch. 1 - The average density of the Sun is on the order...Ch. 1 - Estimate the mass of a virus.Ch. 1 - A floating-point operation is a single arithmetic...Ch. 1 - Consider the equation 4000/400=10.0 . Assuming the...Ch. 1 - Suppose your bathroom scale reads your mass as 65...Ch. 1 - A good-quality measuring tape can be off by 0.50cm...Ch. 1 - An infant’s pulse rate is measured to be 1305...Ch. 1 - (a) Suppose that a person has an average heart...Ch. 1 - A can contains 375 mL of soda. How much is left...Ch. 1 - State how many significant figures are proper In...Ch. 1 - (a) How many significant figures are in the...Ch. 1 - (a) If your speedometer has an uncertainty of 2.0...Ch. 1 - (a) A person’s blood pressure is measured to be...Ch. 1 - A person measures his or her heart rate by...Ch. 1 - What is the area of a circle 3.102 cm in diameter?Ch. 1 - Determine the number of significant figures in the...Ch. 1 - Perform the following calculations and express...Ch. 1 - Consider the equation y=mt+b, where the dimension...Ch. 1 - Consider the equation...Ch. 1 - (a) A car speedometer has a 5% uncertainty. What...Ch. 1 - A marathon runner completes a 42.188-km course in...Ch. 1 - The sides of a small rectangular box are measured...Ch. 1 - When nonmetric units we used in the United...Ch. 1 - The length and width of a rectangular room are...Ch. 1 - A car engine moves a piston with a circular...Ch. 1 - The first atomic bomb was detonated on July 16,...Ch. 1 - The purpose of this problem is to show the entire...
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