COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 25, Problem 27QAP
To determine
The percentage of the world's population that has a basic understanding of Einstein's special theory of relativity.
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• The light-year (ly) is a unit of distance commonly used in astronomy. It is defined as the distance traveled by light in a vacuum inone year. (a) Express 1 ly in km. (b) Express the speed of light, c, inunits of ly per year. (c) Express the speed of light in feet per nanosecond
C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn'cn²Gn3
= 1.0545717260000002 x 10-34kg m²s-1
c = 299792458 m/s
where: the Plank constant: ħ
the light speed:
and the universal constant of gravity: = 6.673848 x 10-11kg-'m³s=2
n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q.
Example: {velocity}Plank=c=3.00x10® m/s [n1=0, n2=1, n3=0]
Calculate the natural unit of
n1=
Volume {V}Plank (3 significant
n2=
{V}Plank=
x 10 m/s?
figures) [find n1, n2, n3 and
take special care of the order
of magnitude]
D) Find the area of Palestine in square miles: APalestine=27000km²= x mile?. Find x.
n3=
Use: 1 mile=5280 ft ... 1ft=12 inch ... 1inch=2.54 cm
X =
Growth of yeast cells In a controlled laboratory experiment,
yeast cells are grown in an automated cell culture system that
counts the number P of cells present at hourly intervals. The num-
ber after t hours is shown in the accompanying figure.
250
200
150
100
50
0 1 2 3 4 5 6 7
a. Explain what is meant by the derivative P'(5). What are its
units?
b. Which is larger, P'(2) or P'(3)? Give a reason for your
answer.
c. The quadratic curve capturing the trend of the data points
(see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43.
Find the instantaneous rate of growth when t = 5 hours.
Chapter 25 Solutions
COLLEGE PHYSICS
Ch. 25 - Prob. 1QAPCh. 25 - Prob. 2QAPCh. 25 - Prob. 3QAPCh. 25 - Prob. 4QAPCh. 25 - Prob. 5QAPCh. 25 - Prob. 6QAPCh. 25 - Prob. 7QAPCh. 25 - Prob. 8QAPCh. 25 - Prob. 9QAPCh. 25 - Prob. 10QAP
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- (a) Use the distance and velocity data in Figure 3.64 to find the rate of expansion as a function of distance. (b) If you extrapolate back in time, how long ago would all of the galaxies have been at approximately the same position? The two parts of this problem give you some idea of how the Hubble constant for universal expansion and the time back to the Big Bang are determined, respectively. Figure 3.64 Five galaxies on a straight line, showing their distances and velocities relative to the Milky Way (MW) Galaxy. The distances are in millions of light years (Mly), where a light year is the distance light travels in one year. The velocities are nearly proportional to the distances. The sizes of the galaxies are greatly exaggerated; an average galaxy is about 0.1 MlY across.arrow_forwardShow that, when SI units for 0 and 0 are entered, the units given by the right-hand side of the equation in the problem above are m/s.arrow_forwardC) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn'cn² G™³ where: the Plank constant: ħ = 1.0545717260000002 x 10-34kg m²s-1 the light speed: and the universal constant of gravity: n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. c = 299792458 m/s = 6.673848 x 10-1'kg¬'m³s-2 Example: {velocity}plank=C=3.00x10® m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= Volume {V}Plank (3 signiflcant n2= {V}plank= x 10 m/s? figures) [find n1, n2, n3 and take special care of the order of magnitude] n3=arrow_forward
- The continuity equation satisfied by u = 4xy+y?, v= 6xy+ 3y 10 u= 3x^2-2y^2, v=-6xy .II O u=x-4y, v=y-4x .IIIOarrow_forwardHi, please use the numbers that are provided in the problem to solve this for me please. Make sure you use 6.0 x 10^12 as written.arrow_forward1:28 PM A D D 89 ezystudies.com/my-courses, 3 Q EZY STUDIES Online Courses Close (view) which of the following unit is equivalent to N 11 (view) If the length of a rectangle = |5 ± 0.1|m and its width = |4 ± 0.2| 12 m. So, the rectangle area is : (view). O (9 ± 0.3 )m 2 ® ( 20 ± 0.3)m 2 ©( 20 + 1.4) m 2 ©(20 + 0.5) m 2 Chat with Eazy studies Hi! How can we help you?arrow_forward
- C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= hnlcn2Gn3 h = 1.0545717260000002 x 10-34kg m?s-1 c = 299792458 m/s where: the Plank constant: the light speed: and the universal constant of gravity: = 6.673848 x 10-11kg¬1m³s¬2 n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. Example: {velocity}plank=C=3.00x10® m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= acceleration {a}Plank (3 significant n2= {a}Plank= x 10 m/s? figures) [find n1, n2, n3 and take special care of the order of magnitude] D) Find the area of Palestine in square miles: Apalestine=27000km²= x mile?. Find x. n3= Use: 1 mile=5280 ft ... 1ft=12 inch ... linch=2.54 cm X =arrow_forwardNewton's law of universal gravitation is represented by Mm F = G• where F is the gravitational force, M and m are masses, and r is a length. Force has the Sl units kg - m/s?. What are the Sl units of the proportionality constant G?arrow_forward•11 For about 10 years after the French Revolution, the French government attempted to base measures of time on multiples of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second?arrow_forward
- true or false. I- The speed of light in vacuum is a universal constant, whose value (without uncertainty, as it is defined as a standard) is c=299792458 m.s -1..The value of c in scientific notation is 2.99792458 x108 m.s-1. II- The value of c (velocity of light in vacuum) written to 3 significant figures is 3.00 x 108 .m.s-1. III- The value of the density of an object obtained was ρ±uρ=(7.768581114 ± 0.012540242) g.cm -3. The value obtained for the density and its respective uncertainty is incorrect, as it makes no sense to report the uncertainty with so many decimal places. IV- To convert g/cm 3 to kg/m 3 just multiply by 10 3.arrow_forwardA circular area S is concentric with the origin, has radius a, and lies in the yz-plane. Calculate ∫??⃗·?ˆ??∫SE→·n^dA for ?⃗=3?2?ˆ.E→=3z2i^.arrow_forwardFor this question, can you explain how we get the integral from dFz to Fz. Can you also explain how im supposed to know which proportion to use? In some similar question we use proportions such as dQ/dl and in other question we use dz/d theta. How do i know which proportion to use for the question?arrow_forward
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