Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 8, Problem 14E
(a)
To determine
The gravitational acceleration at the surface of Mercury.
(b)
To determine
The gravitational acceleration at the surface of Saturn’s moon Titan.
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Titan has a radius of 2500.0 km and a mass of 1.1 × 1023 kg. What is the escape velocity in km/s from Titan's exosphere, which begins at about 1400 km above the surface? The gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2.
What is the escape velocity in km/s from Jupiter's exosphere, which begins about 995 km above the surface? Assume the Gravitational constant is G = 6.67 × 10-11 m3 kg-1 s-2 , and that Jupiter has a mass of 2.2e+27 kg and a radius of 71.0 × 103 km.
What is the free-fall acceleration at the surface of (a) Mars and (b) Jupiter?
Chapter 8 Solutions
Essential University Physics (3rd Edition)
Ch. 8.2 - Suppose the distance between two objects is cut in...Ch. 8.3 - Suppose the paths in Fig. 8.8 are the paths of...Ch. 8.4 - Prob. 8.3GICh. 8 - What do Newtons apple and the Moon have in common?Ch. 8 - Prob. 2FTDCh. 8 - When you stand on Earth, the distance between you...Ch. 8 - The force of gravity on an object is proportional...Ch. 8 - A friend who knows nothing about physics asks what...Ch. 8 - Could you put a satellite in an orbit that keeps...Ch. 8 - Why are satellites generally launched eastward and...
Ch. 8 - Given Earths mass, the Moons distance and orbital...Ch. 8 - How should a satellite be launched so that its...Ch. 8 - Does the gravitational force of the Sun do work on...Ch. 8 - Space explorers land on a planet with the same...Ch. 8 - Use data for the Moons orbit from Appendix E to...Ch. 8 - Prob. 13ECh. 8 - Prob. 14ECh. 8 - Two identical lead spheres with their centers 14...Ch. 8 - Whats the approximate value of the gravitational...Ch. 8 - A sensitive gravimeter is carried to the top of...Ch. 8 - Prob. 18ECh. 8 - Find the speed of a satellite in geostationary...Ch. 8 - Marss orbit has a diameter 1.52 times that of...Ch. 8 - Calculate the orbital period for Jupiters moon Io,...Ch. 8 - An astronaut hits a golf ball horizontally from...Ch. 8 - The Mars Reconnaissance Orbiter circles the red...Ch. 8 - Earths distance from the Sun varies from 147 Gm at...Ch. 8 - Prob. 25ECh. 8 - A rocket is launched vertically upward from Earths...Ch. 8 - What vertical launch speed is necessary to get a...Ch. 8 - Find the energy necessary to put 1 kg, initially...Ch. 8 - Whats the total mechanical energy associated with...Ch. 8 - Prob. 30ECh. 8 - Determine escape speeds from (a) Jupiters moon...Ch. 8 - Prob. 32ECh. 8 - The gravitational acceleration at a planets...Ch. 8 - One of the longest-standing athletic records is...Ch. 8 - Prob. 35PCh. 8 - If youre standing on the ground 15 m directly...Ch. 8 - Given the Moons orbital radius of 384,400 km and...Ch. 8 - Equation 7.9 relates force to the derivative of...Ch. 8 - During the Apollo Moon landings, one astronaut...Ch. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Youre preparing an exhibit for the Golf Hall of...Ch. 8 - Prob. 43PCh. 8 - Satellites A and B are in circular orbits, with A...Ch. 8 - The asteroid that exploded over Chelyabinsk,...Ch. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Neglecting air resistance, to what height would...Ch. 8 - Show that an object released from rest very far...Ch. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - Two meteoroids are 160,000 km from Earths center...Ch. 8 - Two rockets are launched from Earths surface, one...Ch. 8 - Prob. 58PCh. 8 - A missiles trajectory takes it to a maximum...Ch. 8 - Prob. 60PCh. 8 - Mercurys orbital speed varies from 38.8 km/s at...Ch. 8 - Prob. 62PCh. 8 - Two satellites are in geostationary orbit but in...Ch. 8 - Prob. 64PCh. 8 - Prob. 65PCh. 8 - We derived Equation 8.4 on the assumption that the...Ch. 8 - Prob. 67PCh. 8 - As a member of the 2040 Olympic committee, youre...Ch. 8 - The Olympic Committee is keeping you busy! Youre...Ch. 8 - Tidal forces are proportional to the variation in...Ch. 8 - Spacecraft that study the Sun are often placed at...Ch. 8 - Prob. 72PPCh. 8 - Prob. 73PPCh. 8 - Prob. 74PPCh. 8 - The Global Positioning System (GPS) uses a...
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- Suppose 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_forwardWhat is the escape velocity of Jupiter if its mass is 1.898 x 10^27 kg, and its diameter is 1.42 x10^5 kmarrow_forwardThe Magellan orbiter orbits Venus with a period of 3.26 hours. How far (in km) above the surface of the planet is it? (The mass of Venus is 4.87 ✕ 1024 kg, and the radius of Venus is 6.05 ✕ 103 km.)arrow_forward
- The Magellan orbiter orbits Venus with a period of 3.26 hours. How far (in km) above the surface of the planet is it? (The mass of Venus is 4.87 ✕ 1024 kg, and the radius of Venus is 6.05 ✕ 103 km.)arrow_forwardCalculate the surface escape velocities for Mars. rM = 3.3× 106 m, MM = 6 × 1022 kg).arrow_forwardThe average density of the planet Mercury in 5.61 * 10^3 kg/m^3. The acceleration of gravity on its surface is 3.92m/s^2. Calculate the average radius of Mercury.arrow_forward
- On earths surface, the gravitational field strength is about 9.8 m/s^2. Now consider a different planet with a mass of 5.7 x 10^23 kg with a gravitational field strength at its surface of 4.5 m/s^2. What is the diameter of the planet?arrow_forwardSelected astronomical data for Jupiter's moon Adrastea is given in the table. From these data, calculate the mass of Jupiter (in kg). Moon Orbital Radius (km) Orbital Period (days) Adrastea 1.30 ✕ 105 0.30arrow_forwardIf Martians want to launch a geostationary satellite (more accurately, "Aerostationary") to study their planet, what would be the altitude of the satellite? Data of Mars: Rotation period : 24.6 hours Mass : 6.4 x 10^23 kg Radius: 3390 kmarrow_forward
- Suppose you are in a circular orbit above the moon Rhea with a radius of 824.7 km, and you have 154.4 m/s of delta V. Suppose you put all your delta V to go into an elliptical orbit, what is the semi-major axis of this elliptical orbit assuming the mass of Rhea is 2.3065 ×1021 kg and you can ignore the gravitational effects of Saturn?arrow_forwardA 2660-kg spacecraft is in a circular orbit 1540 km above the surface of Mars. How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4500 km above the surface? Express your answer to three significant figures.arrow_forwardOn the Earths surface, the gravitational field strength is about 9.8 m/s2 . Now considering a different planet with a mass of 7.4 x 1023 kg with a gravitational field strength at its surface of 5.3 m/s2 . What is the diameter of this planet?arrow_forward
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