Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 58EAP
Figure 13.17 showed a graph of log T versus log r for the planetary data given in Table 13.2. Such a graph is called a log-log graph. The scales in Figure 13.17 are logarithmic, not linear, meaning that each division along the axis corresponds to a factor of 10 increase in the value. Strictly speaking, the “correct” labels on the y-axis should be 7,8.9, and 10 because these are the logarithms of
107....,1010.
a. Consider two quantities u and v that are related by the expression
Vp= Cuqwhere C is a constant. The exponents p and q are not necessarily integers. Define x = log u and y = log v. Find an expression for y in terms of x.
b. What shape will a graph of y versus x have? Explain.
c. What slope will a graph of y versus x have? Explain.
d. Use the experimentally determined “best-fit” line in Figure 13.17 to find the mass of the sun.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet UCF1.01 is 92.4 days, and that of planet UCF1.02 is 7.1 days.
If the average distance of UCF1.01 to the sun is 5,828.0 km, what is the average distance of UCF1.02 to the sun in km? Please keep four digits after decimal points.
The area of a circle is given by ar? where r is the radius. This can be written as area =
(ar) x r. Can we regard this equation as being of the form:
z = xy
1
PHY1509 PHYSICS SECTION: UNIQUE NUMBER (714489)
where z = area, x = ar and y = r so that one can use equation (10.12) or (10.13) instead of
equation (10.15) for determining the error in the area? Give reasons for your answer.
A new physics unit of distance is created and called the Zarkov. A student informs you 1 Zarkov (1 Za) is exactly equivalent to 8 inches. Convert 4.44 × 10 5 Z a 3 m i n u t e 2to m 3 h r 2. If hard to read: asking you to convert Zarkov's squared over minutes cubed to meters squared over hours cubed.
Answer in E notation without units in the box. I am assuming your output units are m 3 h r 2. Note: for some numbers the computer will convert your E notion to another notation without the E...that will not cost you points.
To be clear regarding E notation, I will provide an example of what I'm talking about:
Chapter 13 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 13 - Prob. 1CQCh. 13 - The gravitational force of a star on orbiting...Ch. 13 - A 1000 kg satellite and a 2000 kg satellite follow...Ch. 13 - How far away from the earth must an orbiting...Ch. 13 - A space station astronaut is working outside the...Ch. 13 - The free-fall acceleration at the surface of...Ch. 13 - Why is the gravitational potential energy of two...Ch. 13 - The escape speed from Planet X is 10,000 m/s....Ch. 13 - The mass of Jupiter is 300 times the mass of the...Ch. 13 - Satellites in near-earth orbit experience a very...
Ch. 13 - What is the ratio of the surfs gravitational force...Ch. 13 - What is the ratio of the sun’s gravitational force...Ch. 13 - The centers of a 10 kg lead ball and a 100 g lead...Ch. 13 - What is the force of attraction between a 50 kg...Ch. 13 - The International Space Station orbits 300 km...Ch. 13 - Two 65 kg astronauts leave earth in a spacecraft,...Ch. 13 - A 20 kg sphere is at the origin and a 10kg sphere...Ch. 13 - a. What is the free-fall acceleration at the...Ch. 13 - What is the free-fall acceleration at the surface...Ch. 13 - A sensitive gravimeter at a mountain observatory...Ch. 13 - Saturn’s moon Titan has a mass of 1.351023 kg and...Ch. 13 - A newly discovered planet has a radius twice as...Ch. 13 - Suppose we could shrink the earth without changing...Ch. 13 - Planet Z is 10.000 km in diameter. The free-fall...Ch. 13 - An astronaut on earth can throw a ball straight up...Ch. 13 - What is the escape speed from Jupiter?Ch. 13 - A rocket is launched straight up from the earth’s...Ch. 13 - A space station orbits the sun at the same...Ch. 13 - Prob. 19EAPCh. 13 - Nothing can escape the event horizon of a black...Ch. 13 - You have been visiting a distant planet. Your...Ch. 13 - Two meteoroids are heading for earth. Their speeds...Ch. 13 - A binary star system has to stars, each with the...Ch. 13 - The asteroid belt circles the sun between the...Ch. 13 - You are the science officer on a visit to a...Ch. 13 - Three satellites orbit a planet of radius R, as...Ch. 13 - A satellite orbits the sun with a period of 1.0...Ch. 13 - A new planet is discovered orbiting the star Vega...Ch. 13 - Prob. 29EAPCh. 13 - An earth satellite moves in a circular orbit at a...Ch. 13 - What are the speed and altitude of a...Ch. 13 - a. At what height above the earth is the free-fall...Ch. 13 - Prob. 33EAPCh. 13 - Pluto moves in a fairly elliptical orbit around...Ch. 13 - FIGURE P13.35 shows three masses. What are the...Ch. 13 - What are the magnitude and direction of the net...Ch. 13 - Prob. 37EAPCh. 13 - What is the total gravitational potential energy...Ch. 13 - Two spherical objects have a combined mass of 150...Ch. 13 - Two 100 kg lead spheres are suspended from...Ch. 13 - Prob. 41EAPCh. 13 - An object of mass m is dropped from height h above...Ch. 13 - A projectile is shot straight up from the earth’s...Ch. 13 - Prob. 44EAPCh. 13 - 45. An astronaut circling the earth at an altitude...Ch. 13 - Suppose that on earth you can jump straight up a...Ch. 13 - Prob. 47EAPCh. 13 - Two spherical asteroids have the same radius R....Ch. 13 - A starship is circling a distant planet of radius...Ch. 13 - The two stars in a binary star system have masses...Ch. 13 - A 4000 kg lunar lander is in orbit 50 km above the...Ch. 13 - The 75,000 kg space shuttle used to fly in a...Ch. 13 - How much energy would be required to move the...Ch. 13 - NASA would like to place a satellite in orbit...Ch. 13 - In 2014, the European Space Agency placed a...Ch. 13 - A satellite orbiting the earth is directly over a...Ch. 13 - FIGURE P13.57 shows two planets of mass m orbiting...Ch. 13 - Figure 13.17 showed a graph of log T versus log r...Ch. 13 - Large stars can explode as they finish burning...Ch. 13 - The solar system is 25,000 light years from the...Ch. 13 - Three stars, each with the mass of our sun, form...Ch. 13 - Comets move around the sun in very elliptical...Ch. 13 - A 55,000 kg space capsule is in a...Ch. 13 - Prob. 64EAPCh. 13 - Prob. 65EAPCh. 13 - Prob. 66EAPCh. 13 - Two Jupiter size planets are released from rest...Ch. 13 - A satellite in a circular orbit of radius r has...Ch. 13 - While visiting Planet Physics. you toss a rock...Ch. 13 - A moon lander is orbiting the moon at an altitude...Ch. 13 - Let’s look in more detail at how a satellite is...Ch. 13 - FIGURE CP13.72 shows a particle of mass m at...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- One year on Mars is as long as 1.88 years on earth. How many seconds is a Martian year? Please give the correct answerarrow_forwardChapter 5, Section 5.8, Question 32 Determine the length of a rectangular trench you can dig with the energy gained from eating one Milky Way bar (270 cal). Assume that you convert the energy gained from the food with 5% efficiency and that the trench is 7 meters wide and 1 meter deep. Use the fact that the density of soil is 1000 kg/m³ and the acceleration due to gravity is 9.81 m/s². Round your answer to two decimal places. The length of the trench is the tolerance is +/- 2% Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT meters.arrow_forwardCalculate the angle of (a) 10 (degree) (b) 1′ (minute of arc or arcmin) and (c) 1″(second of arc or arc second) in radians. Use 3600=2π rad, 10 =60′ and1′ = 60 ″arrow_forward
- for this problem the average distance of the earth from the sun is about 1.5×10^8kmarrow_forwardUse Kepler's Law, which states that the square of the time, T, required for a planet to orbit the Sun varies directly with the cube of the mean distance, a, that the planet is from the Sun.Using Earth's time of 1 year and a mean distance of 93 million miles, the equation relating T (in years) and a (in million miles) is 804375T2=a3.Use that relation equation to determine the time required for a planet with mean distance of 206 million miles to orbit the Sun. Round to 2 decimal places. yearsarrow_forwardMars' period (its "year") was noted by Kepler to be about 687 days (Earth days), which is (687d / 365 d) = 1.88 yr. Determine the distance of Mars from the Sun using the Earth as reference. (The distance of Earth from the Sun is 1.50 x 10 m) !3! Thu TMS IMS TE TES TES TE 2 28 x 10 m TES yr After reading and understanding the concept Gravity, please do the following problems: 1. What keeps a satellite up in its orbit around the Earth?arrow_forward
- Astronomers use the distance modulus function M(r) = 5 log r − 5, where M is the distance modulus and r is the distance of a star from Earth in parsecs. (One parsec is approximately 1.92 1013 miles, or approximately 20 trillion miles.) Use this function to answer the question below. Round to the nearest tenth.The distance modulus of "Star Alpha" is −1.21. How many parsecs from Earth is this star?arrow_forwardEarth is approximately a sphere of radius 6.37 × 106 m. What are (a) its circumference, (b) its surface area, and (c) its volume?arrow_forwardThe average radius of Earth is typically accepted to be approximately 6371 km. Using this dimension, determine the surface area in km2 and the volume in km3. Give both answers in scientific notation to one decimal place.arrow_forward
- In the US, lengths are often measured in inches, feet, yards and miles. Let's do some conversions. The definition of the inch is: 1 inch = 25.4 mm, exactly. A foot is 12 inches and a mile is 5280 ft, exactly. A centimetre is exactly 0.01 m or 10 mm. Sammy is 5 feet and 5.3 inches tall. Mark all the true statements below (Hint: use the 'multiply by 1' technique. Use the appropriate number of sig figs.)arrow_forwardSchwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]arrow_forwardThe cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 7.0 cubits and a diameter of 1.0 cubits. For the stated range, what are the lower values for (a) the cylinder's length in meters, (b) the cylinder's length in millimeters, and (c) the cylinder's volume in cubic meters? What are the upper values for (d) the cylinder's length in meters, (e) the cylinder's length in millimeters, and (f) the cylinder's volume in cubic meters? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number Units (e) Number i Units (f) Number i Unitsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
AstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStax
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:OpenStax
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY