Solutions for University Physics Volume 1
Problem 13.1CYU:
Check Your Understanding What happens to force and accleration as the vehicles fall together? What...Problem 13.2CYU:
Check Your Understanding How does your weight at the top of a tall building compare with that on the...Problem 13.3CYU:
Check Your Understanding Why not use the simpler expression U=mg(y2y1) ? How significant would the...Problem 13.4CYU:
Check Your Understanding If we send a probe out of the solar system starting form Earth’s surface,...Problem 13.5CYU:
Check Your Understanding Assume you are in a spacecraft in orbit about the Sun at Earth’s orbit, but...Problem 13.6CYU:
Check Your Understanding By what factor must the radius change to reduce the orbital velocity of a...Problem 13.7CYU:
Check Your Understanding There is another consideration to this last calculation of ME. We derived...Problem 13.8CYU:
Check Your Understanding Galaxies are not single objects. How does the gravitiational force of one...Problem 13.9CYU:
Check Your Understanding The nearly circular orbit of Saturn has an average radius of about 9.5 AU...Problem 13.10CYU:
Check Your Understanding Earth exerts a tidal force on the Moon. Is it greater than, the same as, or...Problem 13.11CYU:
Check Your Understanding Consider the density required to make Earth a black hole compared to that...Problem 1CQ:
Action at a distance, such as is the case for gravity, was once thought to be illogical and...Problem 2CQ:
In the law of universal gravitation, Newton assumed that the force was proportional to the product...Problem 3CQ:
Must engineers take Earth’s rotation into account when constructing very tall buildings at any...Problem 4CQ:
It was stated that a satellite with negative total energy is in a bound orbit, whereas one with zero...Problem 5CQ:
It was shown that the energy required to lift a satellite into a low Earth orbit (the change in...Problem 6CQ:
One student argues that a satellite in orbit is in free fall because the satellite keeps falling...Problem 7CQ:
Many satellites are placed in geosynchronous orbits. What is special about these orbits? For a...Problem 9CQ:
In the diagram below for a satellite in an elliptical orbit about a much larger mass, indicate where...Problem 10CQ:
As an object falls into a black hole, tidal forces increase. Will these tidal forces always tear the...Problem 11CQ:
The principle of equivalence states that all experiments done in a lab in a uniform gravitational...Problem 12CQ:
As a person approaches the Schwarzschild radius fo a black hole, outside observers see all the...Problem 13P:
Evaluate the magnitude of gravitational force between two 5-kg spherical steel balls separated by a...Problem 14P:
Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when...Problem 15P:
Astrology makes much of the position of the planets at the moment of one’s birth. The only known...Problem 16P:
A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00 of his weight....Problem 17P:
The International Space Station has a mass of approximately 370,000 kg. (a) What is the force on a...Problem 18P:
Asteroid Toutatis passed near Earth in 2006 at four times the distance to our Moon. This was the...Problem 19P:
(a) What was the acceleration of Earth caused by asteroid Toutatis (see previous problem) at its...Problem 20P:
(a) Calculate Earth’s mass given the acceleratioln due to gravity at the North Pole is measured to...Problem 21P:
(a) What is the acceleration due to gravity on the surface of the Moon? (b) On the surface of Mars?...Problem 22P:
(a) Calculate the acceleration due to gravity on the surface of the Sun. (b) By what factor would...Problem 23P:
The mass of a particle is 15 kg. (a) What is its weight on Earth? (b) What is its weight on the...Problem 24P:
On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass...Problem 25P:
The mean diameter of the planet Saturn is 1.2108m , and its mean mass density is 0.69g/cm3 . Find...Problem 26P:
The mean diameter of the planet Mercury is 4.88106m , and the acceleration due to gravity at its...Problem 27P:
The acceleration due to gravity on the surface of a planet is three times as large as it is on the...Problem 28P:
A body on the surface of a planet with the same radius as Earth’s weighs 10 times more than it does...Problem 31P:
What is the escape speed of a satellite located at the Moon’s orbit about Earth? Assume the Moon is...Problem 32P:
(a) Evaluate the gravitational potential energy between two 5.00-kg spherical steel balls separated...Problem 33P:
An average-sized asteroid located 5.0107km from Earth with mass 2.01013kg is detected headed...Problem 34P:
(a) What will be the kinetic energy of the asteroid in the previous problem just before it hits...Problem 35P:
(a) What is the change in energy of a 1000-kg payload taken from rest at the surface of Earth and...Problem 36P:
If a planet with 1.5 times the mass of Earth was traveling in Earth’s orbit, what would its period...Problem 37P:
Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the...Problem 38P:
Using the average distance of Earth from the Sun, and the orbital peirod of Earth, (a) find the...Problem 39P:
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable...Problem 40P:
Calculate the mass of the Sun based on data for Earth’s orbit and compare the value obtained with...Problem 41P:
Find the mass of Jupiter based on the fact that I0 , its innermost moon, has an average orbital...Problem 42P:
Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011...Problem 43P:
(a) In order to keep a small satellite from drifting into a nearby asteroid, it is placed in orbit...Problem 44P:
The Moon and Earth rotate about their common center of mass, which is located about 4700 km from the...Problem 45P:
The Sun orbits the Milky Way galaxy once each 2.60108 years, with a roughly circular orbit averaging...Problem 46P:
A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits...Problem 47P:
Calculate the mass of the Sun based on data for average Earth’s orbit and compare the value obtained...Problem 48P:
I0 orbits Jupiter with an average radius of 421,700 km and a period of 1.769 days. Based upon these...Problem 49P:
The “mean” orbital radius listed for astronomical objects orbiting the Sun is typically not an...Problem 50P:
The perihelion of Halley’s comet is 0.586 AU and the aphelion is 17.8 AU. Given that its speed at...Problem 51P:
The perihelion of the comet Legerkvist is 2.61 AU and it has a period of 7.36 years. Show that the...Problem 52P:
What is the ratio of the speed at perihelion to that at aphelion for the comet Lagerkvist in the...Problem 53P:
Eros has an elliptical orbit about the Sun, with a perihelion distance of 1.13 AU and aphelion...Problem 54P:
What is the difference between the force on a 1.0-kg mass on the near side of I0 has mean radius of...Problem 55P:
If the Sun were to collapse into a black hole, the point of no return for an investigator would be...Problem 56P:
Consider Figure 13.23 in Tidal Forces. This diagram represents the tidal forces for spring tides....Problem 57P:
What is the Schwarzschild radius for the black hole at the center of our galaxy if it has the mass...Problem 58P:
What would be the Schwarzschild radius, in light years, if our Milky Way galaxy of 100 billion stars...Problem 59AP:
A neutron star is a cold, collapsed star with nuclear density. A particular neutron star has a mass...Problem 60AP:
(a) How far from the center of Earth would the net gravitational force of Earth and the Moon on an...Problem 61AP:
How far from the center of the Sun would the net gravitational force of Earth and the Sun on a...Problem 62AP:
Calculate the values of g at Earth’s surface for the following changes in Earth’s properties: (a)...Problem 63AP:
Suppose you can communicate with the inhabitants of a planet in another solar system. They tell you...Problem 64AP:
(a) Suppose that your measured weight at the equator is one-half your measured weight at the pole on...Problem 65AP:
A body of mass 100 kg is weighed at the North Pole and at the equator with a spring scale. What is...Problem 66AP:
Find the speed needed to escape from the solar system starting from the surface of Earth. Assume...Problem 67AP:
Consider the previous problem and include the fact that Earth has an orbital speed about the Sun of...Problem 68AP:
A comet is observed 1.50 AU from the Sun with a speed of 24.3km/s . Is this comet in a bound or...Problem 69AP:
An asteroid has speed 15.5km/s when it is located 2.00 AU from the sun. At its closest approach, it...Problem 70AP:
Space debris left from old satellites and their launchers is becoming a hazard to other satellites....Problem 71AP:
A satellite of mass 1000 kg is in circular orbit about Earth. The radius of the orbit of the...Problem 72AP:
After Cares was promoted to a dwarf planet, we now recognize the largest known asteroid to be Vesta,...Problem 73AP:
(a) Using the data in the previous problem for the asteroid Vesta which has a diameter of 520 km and...Problem 74AP:
What is the orbital velocity of our solar system about the center of the Milky Way? Assume that the...Problem 75AP:
(a) Using the information in the previous problem, what velocity do you need to escape the Milky Way...Problem 76AP:
Circular orbits in Equation 13.10 for conic sections must have eccentricity zero. From this, and...Problem 77AP:
Show that for eccentricity equal to one in Equation 13.10 for conic sections, the path is a...Problem 78AP:
Using the technique shown in Satellite Orbits and Energy, show that two masses m1 and m2 in circular...Problem 79AP:
Given the perihelion distance, p , and aphelion distance, q , for an elliptical orbit, show that the...Problem 80AP:
Comet P/1999 R1 has a perihelion of 0.0570 AU and aphelion of 4.99 AU. Using the results of the...Problem 81CP:
A tunnel is dug through the center of a perfectly spherical and airless planet fo radius R. Using...Problem 82CP:
Following the technique used in Gravitation Near Earth’s Surface, find the value of g as a function...Problem 83CP:
Show that the areal velocity for a circular orbit of radius r about a mass M is At=12GMr . Does your...Problem 84CP:
Show that the period of orbit for two masses, m1 and m2 , in circular orbits of radii r1 and r2 ,...Problem 85CP:
Show that for small changes in height h, such that hRE , Equation 13.4 reduces to the expression...Problem 86CP:
Using Figure 13.9, carefull sketch a free body diagram for the case of a simple pendulum hanging at...Browse All Chapters of This Textbook
Chapter 1 - Units And MeasurementChapter 2 - VectorsChapter 3 - Motion Along A Straight LineChapter 4 - Motion In Two And Three DimensionsChapter 5 - Newton's Law Of MotionChapter 6 - Applications Of Newton's LawsChapter 7 - Work And Kinetic EnergyChapter 8 - Potential Energy And Conservation Of EnergyChapter 9 - Linear Momentum And CollisionsChapter 10 - Fixed-axis Rotation
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