Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 5, Problem 13P
To determine
Find the escape velocity at the surface of a spherical asteroid.
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(a) What is the escape speed on a spherical asteroid whose radius is 624 km and whose gravitational acceleration at the surface is
0.767 m/s?? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 734 m/s? (c) With
what speed will an object hit the asteroid if it is dropped from 473.5 km above the surface?
(a) Number
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(b) Number
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(a) What is the escape speed on a spherical asteroid whose radius is 500 km and whose gravitational acceleration at the surface is 3.0 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid’s surface with a radial speed of 1000 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1000 km above the surface?
(a) What is the escape speed on a spherical asteroid whose radius is 106 km and whose gravitational acceleration at the surface is
0.104 m/s²? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 107 m/s? (c) With
what speed will an object hit the asteroid if it is dropped from 2168 km above the surface?
(a) Number
(b) Number i
(c) Number i
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Chapter 5 Solutions
Foundations of Astronomy (MindTap Course List)
Ch. 5 - According to the Aristotle, if earth and water...Ch. 5 - Today, what do we call the Aristotelean violent...Ch. 5 - Which of Keplers or Newtons laws best describes...Ch. 5 - Why would Aristotles explanation of gravity not...Ch. 5 - According to the principles of Aristotle, what...Ch. 5 - If you drop a feather and a steel hammer at the...Ch. 5 - What is the difference between mass and weight?Ch. 5 - When a person says he gained weight, does he mean...Ch. 5 - An astronaut working in space near the...Ch. 5 - What is the difference between speed and velocity?
Ch. 5 - A car is on a circular off ramp of an interstate...Ch. 5 - How many accelerators does a car have? What are...Ch. 5 - You put your astronomy textbook and your No. 2...Ch. 5 - An astronaut is in space with a baseball and a...Ch. 5 - You are at a red light in your car. The red light...Ch. 5 - You weigh 100 pounds, your friend weighs 200...Ch. 5 - Why did Newton conclude that some force had to...Ch. 5 - Why did Newton conclude that gravity has to be...Ch. 5 - Prob. 19RQCh. 5 - You are sitting next to a person who has twice as...Ch. 5 - You are sitting next to a person who has twice as...Ch. 5 - You are sitting next to a person who has twice as...Ch. 5 - How does the concept of a field explain action at...Ch. 5 - Why cant a spacecraft go beyond Earths gravity?Ch. 5 - Prob. 25RQCh. 5 - Balance a pencil lengthwise on the side of your...Ch. 5 - Prob. 27RQCh. 5 - Why cant you leave Earths gravitational field when...Ch. 5 - According to Keplers first law, planets move in...Ch. 5 - How do planets orbiting the Sun and skaters doing...Ch. 5 - If a planet were to slowly migrate inward toward...Ch. 5 - If you hold this textbook out at shoulder height...Ch. 5 - Today at the beach you see the highest of all high...Ch. 5 - Why is the period of an open orbit undefined?Ch. 5 - In what conditions do Newtons laws of motion and...Ch. 5 - Prob. 36RQCh. 5 - When you ride a fast elevator upward, you feel...Ch. 5 - Prob. 38RQCh. 5 - How is gravity related to acceleration? Are all...Ch. 5 - Near a massive planet, is gravitational...Ch. 5 - Prob. 41RQCh. 5 - How Do We Know? Why is it important that a theory...Ch. 5 - An astronomy textbook is to be dropped from a tall...Ch. 5 - Compared to the strength of Earths gravity at its...Ch. 5 - Compare the force of gravity on a 1 kg mass on the...Ch. 5 - Prob. 4PCh. 5 - The International Space Station is in orbit around...Ch. 5 - If a small lead ball falls from a high tower on...Ch. 5 - What is the circular velocity of an Earth...Ch. 5 - What is the circular velocity of an Earth...Ch. 5 - What is the orbital speed at Earths surface?...Ch. 5 - Describe the shape of the orbit followed by the...Ch. 5 - Prob. 11PCh. 5 - What is the orbital period of a satellite orbiting...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - A moon of Jupiter takes 1.8 days to orbit at a...Ch. 5 - Arrange the following motions in order of...Ch. 5 - Arrange the following motions in order of...Ch. 5 - Why can the object shown here be bolted in place...Ch. 5 - What is the flux at position 2 compared to...Ch. 5 - Why is it a little bit misleading to say that this...
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- Find the escape speed of a projectile from the surface of Jupiter.arrow_forwardWhat is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?arrow_forwardA system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25arrow_forward
- (a) Using the data in the previous problem for the asteroid Vesta which has a diameter of 520 km and mass of 2.671020kg , what would be the orbital period for a space probe in a circular orbit of 10.0 km from its surface? (b) Why is this calculation marginally useful at best?arrow_forwardSuppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardA space probe is fired as a projectile from the Earths surface with an initial speed of 2.00 104 m/s. What will its speed be when it is very far from the Earth? Ignore atmospheric friction and the rotation of the Earth. P11.26 Ki+Ui=Kf+Uf12mvi2+GMEm(1rf1ri)=12mvf212vi2+GME(01RE)=12vf2orvf2=v122GMEREandvf=(v122GMERE)1/2,vf=[(2.00104)21.25108]1/2m/s=1.66104m/sarrow_forward
- (a) What is the acceleration due to gravity on the surface of the Moon? (b) On the surface of Mars? The mass of Mars is SW 6.4181023kg and its radius is 3.38106m .arrow_forwardModel the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)arrow_forwardWhat is the escape speed of a satellite located at the Moon’s orbit about Earth? Assume the Moon is not nearby.arrow_forward
- Since March 2006, NASAs Mars Reconnaissance Orbiter (MRO) has been in a circular orbit at an altitude of 316 km around Mars (Fig. P6.81). The acceleration due to gravity on the surface of the planet Mars is 0.376g, and its radius is 3.40 103 km. Assume the acceleration due to gravity at the satellite is the same as on the planets surface. a. What is MROs orbital speed? B. What is the period of the spacecrafts orbit? FIGURE P6.81arrow_forwardConsider a planet that has a gravitational acceleration of 1.8 m/s2 at its surface. Assume that theplanet is spherical with a radius of 4300 km.a) Calculate the mass of the planet.b) Find the escape speed from the surface of this planet, assuming no air resistance.arrow_forward(a) What is the escape speed on a spherical asteroid whose radius is 103 km and whose gravitational acceleration at the surface is 0.129 m/s²? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 101 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1588 km above the surface? (a) Number (b) Number (c) Number IN i Units Units Unitsarrow_forward
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