Astronomy Today (9th Edition)
9th Edition
ISBN: 9780134450278
Author: Eric Chaisson, Steve McMillan
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 2, Problem 8P
To determine
The force between a person and Earth using Newton's law of gravity, in both Newtons and Pounds.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The sun is 93 million miles from earth. a) Convert 93 million miles to meters and use scientific notation and round your leading coefficient in your answer to the nearest tenth. (Show step by step conversion factors). EARTH has a mass of 6 x 10^24 kg and the Sun's mass is 1.9 x 10^30 kg. b). Use Newton’s law of universal gravitation to determine the gravitational force (N) between the earth and the sun.
You may attempt this question 3 more times for credit.
In this problem, we will directly calculate the surface gravity and your weight on another planet. In metric, your weight is measured in "Newtons", and 1
Newton = 1 kg m / s². Newton's constant G = 6.67 x 10-11 m³/(kg s²).
Earth has a mass = 5.97 x 1024 kg and a radius of 6378 km. You should be able to verify that g = 9.8 m/s² on Earth using the formula for surface gravity.
If your mass is 64 kg, you should also be able to verify you should weigh 626 Newtons. If you can do that you should be OK for what's next.
The mass of Venus is 4.87E+24 kg, and it's radius is 6.05E+3 km.
What is the surface gravity of this planet? (Watch your units!).
m/s²
If your mass is 64 kg, what would you weigh on Venus?
Newtons.
Note: Remember if your answer requires scientific notation to use the "e" notation: "1.1 x 105" is "1.1e5" to OWL.
Two 700-kg masses (1543 lb) are separated by a distance of 76 m. Using Newton's law of gravitation, find the magnitude of the
gravitational force exerted by one mass on the other. (Use G = 6.67 x 10-11 N-m²/kg2.)
Newton's Law of Gravitation
The gravitational force between two objects is proportional to the mass of each
object and inversely proportional to the square of the distance between the
centers of the masses:
Gm
F=
where G is a constant. The direction of the force is attractive and lies along the
line joining the centers of the two masses (fig. 5.19).
F,
0:00/5:04
m₂
figure 5.19 The gravitational force is attractive and acts along the line joining
the center of the two masses. It obeys Newton's third law of motion (F, =-F,).
480p
The magnitude of the gravitational force exerted by one mass on the other is
x 10-9 N.
Chapter 2 Solutions
Astronomy Today (9th Edition)
Ch. 2 - Prob. 1DCh. 2 - Prob. 2DCh. 2 - Prob. 3DCh. 2 - Prob. 4DCh. 2 - Prob. 5DCh. 2 - Prob. 6DCh. 2 - Prob. 7DCh. 2 - Prob. 8DCh. 2 - Prob. 9DCh. 2 - Prob. 10D
Ch. 2 - Prob. 11DCh. 2 - Prob. 12DCh. 2 - Prob. 13DCh. 2 - Prob. 14DCh. 2 - Prob. 15DCh. 2 - Prob. 1MCCh. 2 - Prob. 2MCCh. 2 - Prob. 3MCCh. 2 - Prob. 4MCCh. 2 - Prob. 5MCCh. 2 - Prob. 6MCCh. 2 - Prob. 7MCCh. 2 - Prob. 8MCCh. 2 - Prob. 9MCCh. 2 - Prob. 10MCCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8P
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
- A woman has a mass of 55.1 kg on Earth.a. What is the woman’s mass on the moon? (2 Significant figures only, type in the first box)b. What would be the woman’s weight on the moon if the gravity is 1.67 ms21.67 ms2 . (3 significant figures only, type in the second box) Do not include the units when writing your final answers in the box.arrow_forwardMany people mistakenly believe that the astronauts who orbit Earth are "above gravity." Earth's mass is 6×1024kg , and its radius is 6.38×106m (6380 km ). Use the inverse-square law to find a height above Earth's surface at that the force of gravity on a shuttle is about 94% that at Earth's surface. Express your answer to two significant figures and include the appropriate units.arrow_forwardEarth's orbit is (on average) 1 Astronomical Unit from the Sun. For reference, 1 Astronomical Unit is about 93 million miles. Jupiter's orbit is about 5 Astronomical Units from the Sun. Suppose that the gravitational force between the Earth and the Sun is equal to 50,000 N (it's way more than that but we are just pretending here). If we move Earth to Jupiter's orbit, what will be the new value of the gravitational force between the Earth and the Sun? Remember to include units of force (Newtons or N) in your answer.arrow_forward
- Write your name and date. The due date of this assignment is the height the ax head falls from in meters into the water. For example, if the due date is July 15, then the ax head fell 15 meters to the water. Write Newton’s 2nd Law in Equation Form. Write the quantity and units of average gravitational acceleration on the surface of Earth. Given the ax head mentioned in the opening portion with the height being equal in numerical value of the due day of this assignment. How long does it take for the ax to fall to the river surface? Compute the final speed of the ax when it hits the water.arrow_forwardWrite down an expression for the gravitational filed strength of a planet of radius R and density ρ. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as ?ρ and ?π use rho and pi. Please use the "Display response" button to check you entered the answer you expectarrow_forwardNewton's Law of Gravitation 2. The magnitude of the acceleration of an object under the pull of Earth's gravity is given by Newton's Universal Law of Gravitation МЕ a = G R? where G is the universal gravitational constant, ME is the mass of Earth, and R is the distance of the object from the center of Earth. Let x be the distance above Earth's surface. We can rewrite the formula for the acceleration as a function of x by noting that R = Rp + x, where Rp is the radius of Earth. Therefore, МЕ a(x) = G- (RE + x)2 d. (a) Show that dx 1 1 (1 – x)* - x. (b) Use the above fact, along with the power series of 1 to determine a power 1- x 1 series for (1+x)²* (c) What is the radius of convergence for the series in part (b)? (Hint: You do not need to calculate anything. What is the radius of convergence for the power series of 1 does not change the radius of convergence.) -? This series has the same radius of convergence since taking a derivativearrow_forward
- Write down an expression for the gravitational filed strength of a planet of radius R and density p. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as p and a use rho and pi. Please use the "Display response" button to check you entered the answer you expect. g= Display responsearrow_forwardWrite down an expression for the gravitational filed strength of a planet of radius R and density p. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as p and use rho and pi. For gravitational constant, please use G. Please use the "Display response" button to check you entered the answer you expect. Display responsearrow_forwardWrite down an expression for the gravitational filed strength of a planet of radius R and density p. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as p and t use rho and pi. Please use the "Display response" button to check you entered the answer you expect. Display responsearrow_forward
- (Use Newton’s Law of Gravitational Attraction) A man weighs 160 lb. on the surface of the earth. a) What would he weigh if he were in an airplane flying at an altitude of 50 miles? Hint: you should get a bit less than 160 lb. b) At what altitude above the surface of the earth would the man’s weight be reduced by one half? Express your answer in miles. Use: me = 5.976x1024 kg and re = 6,378 kmarrow_forwardWrite down an expression for the gravitational filed strength of a planet of radius R and density p. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as p and t use rho and pi. Please use the "Display response" button to check you entered the answer you expect. g=arrow_forwardKepler's Law What does Kepler's third law predict for the period of Mars' orbit around the Sun? Give your answer in Days. G=6.67x10-11 Nm2/kg? MMars=6.4x1023 kg MEarth=5.97x1024 kg MSun= 2.00x1030 kg Distance from Sun to Mars = 2.28×1011 n m There are 86400 seconds in 1 day. Daysarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY