PHY SCIENTISTS&ENG V1 1-21 PKG W/MASTE
4th Edition
ISBN: 9780134564241
Author: Knight
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
On planet Q, g = 2.24 m/s^2, If the mass of planet Q is 8.96 x 10^21kg, what is the radius of planet Q. G = 6.67 x 10^-11N-(m/kg)^2
On December 25, 2004, the Huygens probe separated from the Cassini spacecraft orbiting Saturn and began a 22 day journey to Saturn’s moon Titan, on whose surface it landed. Besides the data in Appendix F, it is useful to know that Titan is 1.22 * 10^6 km from the center of Saturn and has a mass of 1.35 * 10^23 kg and a diameter of 5150 km. At what distance from Titan should the gravitational pull of Titan the gravitational pull of Saturn?
An object of mass mm is launched from a planet of mass MM and radius RR.
a) Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r=∞.
b) Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M=2.73×1023kg and R=86.2×103km.
Chapter 13 Solutions
PHY SCIENTISTS&ENG V1 1-21 PKG W/MASTE
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
- Comet Halley (Fig. P11.21) approaches the Sun to within 0.570 AU, and its orbital period is 75.6 yr. (AU is the symbol for astronomical unit, where 1 AU = 1.50 1011 m is the mean EarthSun distance.) How far from the Sun will Halleys comet travel before it starts its return journey?arrow_forwardSuppose a small planet is discovered that is 14 times as far from the sun as the Earth's distance is from the sun (1.5 x 1011 m). Use Kepler's law of harmonies to predict the orbital period of such a planet. GIVEN: T2/R3 = 2.97 x 10-19 s2/m3arrow_forwardWhat is the gravitational force between two masses (m1 = 4 Kilograms and m2 -= 8 Kilograms) that are separated by a distance of 17 e meters? Express your answer as a number (rounded to one significant figure) and then the exponent of 10...for instance, express 3 x 10? as 3 and 2, express 5.3 x 10° as 5.3 and -3arrow_forward
- The gravitational acceleration constant gx on Planet X can be approximated by determining the acceleration of an object assuming Newton's Law of Universal Gravitation. If gx = 3.8 m/s^2 , G = 6.7 x 10^-11 Nm^2/kg^2, and Planet X's radius is 4000 km, what is the approximate mass of planet X? Give answer in kg.arrow_forwardCalculate Venus's mass given the acceleration due to gravity (8.87 m/s2) and the radius of Venus (6052 km). (The 1st significant figure of the answer: 4.00*1024 kg)arrow_forwardHere, (G = 6.67×10−11N m2/kg2) is the universal gravitational constant, (M) is the mass of the object,and (r) is its radius. For example, the mass of the Earth is (M = 6×1024kg) and the radius is (r = 6.4×106m). Thus, the surface gravity of Earth is:g=(6.67×10−11×6×1024(6.4×106)2)m/s2= 9.8 m/s2ObjectMassRadiusMercury3.3×1023kg2.4×106mVenus4.9×1024kg6.1×106mMars6.4×1023kg3.4×106mJupiter1.9×1027kg7.0×107mSaturn5.7×1026kg5.8×107mUranus8.7×1025kg2.5×107mNeptune1.0×1025kg2.5×107m ProcedureFor each of the planets listed above, compute the surface gravity in m/s21arrow_forward
- If all planets had the same average density, how would the acceleration due to gravity at the surface of a planet depend on its radius?arrow_forwardFor a planet of uniform density, how would the magnitude of the gravitational field halfway to the center compare with the field at the surface?arrow_forwardAccording to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from a planet in our solar system to the sun is related to the time P, in years, that it takes for the planet to complete a revolution around the sun, and the relationship is D = 93P 2/3. It takes the planet Pluto 248 years to complete a revolution around the sun. What is the mean distance from Pluto to the sun? What is the mean distance from Earth to the sun? Give your answers to the nearest million miles. from pluto to sun _____ million miles from earth to sun _____ million milesarrow_forward
- An astronomer observes that a small moon is in circular orbit around a distant planet. If the moon has a period of 150.0 hours and an orbital radius of 3.70 x 10^7 m, what is the mass of the planet? Submit your answer in units of 10^23 kg.arrow_forwardCalculate the escape velocity from the surface of a world with mass 7.40 x 10^24kg and radius 7.00 x 10^3arrow_forwardA certain planet has a radius of 4990 km. If, on the surface of that planet, a 95.0 kg object has a weight of 591 N, then what is the mass of the planet?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY