Physics: Principles with Applications
7th Edition
ISBN: 9780321625922
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 5, Problem 76GP
How far above the Earth's surface will the acceleration of gravity be half what it is at the surface?
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At what height above the surface of the Earth , acceleration due to gravity will be 50% of its value on the surface of the Earth( Radius of Earth is 6400km and g on the surface of the Earth is 9.8km/s2.
The Moon has a mass 7.35 x 1022 kg of and a radius of 1740 km. Air resistance can be
neglected on the Moon. G = 6.67 x 10-11 m3 kg-1 s-2 is the universal gravitational
constant.
(a) If a ball is launched upwards from the surface of the moon with an initial
speed of 1.15 km/s, what height maximum height above the surface of the
moon will it reach? Give your answer in kilometers.
(b) What is the escape speed of the moon? Give your answer in km/s.
In this problem, you are going to explore three different ways to determine the gravitational constant G.
a) By observing that the centripetal acceleration of the Moon around the Earth is ac = 2.66 × 10-3 m/s2, what is the gravitatonal constant G, in cubic meters per kilogram per square second? Assume the Earth has a mass of ME = 5.96 × 1024 kg, and the mean distance between the centers of the Earth and Moon is rm = 3.81 × 108 m.
b) Measuring the centripetal acceleration of an orbiting object is rather difficult, so an alternative approach is to use the period of the orbiting object. Find an expression for the gravitational constant in terms of the distance between the gravitating objects rm, the mass of the larger body (the earth) ME, and the period of the orbiting body T.
c) The gravitational constant may also be calculated by analyzing the motion of an object, launched from the surface of the earth at an initial velocity of vi. Find an expression of the gravitational constant…
Chapter 5 Solutions
Physics: Principles with Applications
Ch. 5 - You revolve a ball around you in a horizontal...Ch. 5 - A space station revolves around the Earth as a...Ch. 5 - How many '‘accelerators” do you have in your car?...Ch. 5 - A car rounds a curve at a steady 50 km/h. If it...Ch. 5 - Will the acceleration of a car be the same when a...Ch. 5 - Prob. 4QCh. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - Prob. 8Q
Ch. 5 - Prob. 9QCh. 5 - 10. A car maintains a constant speed v as it...Ch. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Does an apple exert a gravitational force on the...Ch. 5 - Why is more fuel required for a spacecraft to...Ch. 5 - Would it require less speed to launch a satellite...Ch. 5 - Prob. 16QCh. 5 - The Sun is below us at midnight, nearly in line...Ch. 5 - 18. When will your apparent weight be the...Ch. 5 - Prob. 19QCh. 5 - Prob. 20QCh. 5 - Is the centripetal acceleration of Mars in its...Ch. 5 - The mass of the '‘planet" Pluto was not known...Ch. 5 - Prob. 23QCh. 5 - Prob. 1MCQCh. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 10MCQCh. 5 - Prob. 11MCQCh. 5 - 'A penny is placed on a turntable which is...Ch. 5 - A child sitting 1.20 m from the center of a...Ch. 5 - A jet plane traveling 1890 km/h (525 m/s) pulls...Ch. 5 - Prob. 3PCh. 5 - What is the magnitude of the acceleration of a...Ch. 5 - 5. (II) A 0.55-kg ball, attached to the end of a...Ch. 5 - How fast (in rpm) must a centrifuge rotate if a...Ch. 5 - Prob. 7PCh. 5 - How large must the coefficient of static friction...Ch. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - How many revolutions per minute would a...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Determine the tangential and centripetal...Ch. 5 - Prob. 25PCh. 5 - For each of the cases described below, sketch and...Ch. 5 - Prob. 27PCh. 5 - Calculate the force of Earth's gravity on a...Ch. 5 - At the surface of a certain planet, the...Ch. 5 - At what distance from the Earth will a spacecraft...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - 41. (II) Every few hundred years most of the...Ch. 5 - 42 (II) Four 7.5-kg spheres are located at the...Ch. 5 - 43. (II) Determine the distance from the Earth's...Ch. 5 - 44.(II) A certain neutron star has five times the...Ch. 5 - 45. (I) A space shuttle releases a satellite into...Ch. 5 - 46. (I) Calculate the speed of a satellite moving...Ch. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Calculate the period of a satellite orbiting the...Ch. 5 - Prob. 50PCh. 5 - What will a spring scale read for the weight of a...Ch. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - A Ferris wheel 22.0 m in diameter rotates once...Ch. 5 - At what rate must a cylindrical spaceship rotate...Ch. 5 - (a) Show that if a satellite orbits very near the...Ch. 5 - Neptune is an average distance of 4.5 x 109 km...Ch. 5 - The asteroid Icarus, though only a few hundred...Ch. 5 - Prob. 59PCh. 5 - Determine the mass of the Earth from the known...Ch. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67GPCh. 5 - Prob. 68GPCh. 5 - Prob. 69GPCh. 5 - Prob. 70GPCh. 5 - Prob. 71GPCh. 5 - Prob. 72GPCh. 5 - Prob. 73GPCh. 5 - Prob. 74GPCh. 5 - Two equal-mass stars maintain a constant distance...Ch. 5 - How far above the Earth's surface will the...Ch. 5 - Prob. 77GPCh. 5 - Prob. 78GPCh. 5 - The rings of Saturn are composed of chunks of ice...Ch. 5 - Prob. 80GPCh. 5 - Prob. 81GPCh. 5 - Prob. 82GPCh. 5 - Prob. 83GPCh. 5 - Prob. 84GPCh. 5 - A satellite of mass 5500 kg orbits the Earth and...Ch. 5 - Prob. 86GPCh. 5 - Prob. 87GPCh. 5 - Prob. 88GPCh. 5 - Prob. 89GPCh. 5 - Prob. 90GP
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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
- 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_forwardLet gM represent the difference in the gravitational fields produced by the Moon at the points on the Earths surface nearest to and farthest from the Moon. Find the fraction gM/g, where g is the Earths gravitational field. (This difference is responsible for the occurrence of the lunar tides on the Earth.)arrow_forwardIn Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?arrow_forward
- Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.arrow_forwardAn object of mass m is located on the surface of a spherical planet of mass M and radius R. The escape speed from the planet does not depend on which of the following? (a) M (b) m (c) the density of the planet (d) R (e) the acceleration due to gravity on that planetarrow_forwardThe acceleration due to gravity on the surface of a planet is three times as large as it is on the surface of Earth. The mass density of the planet is known to be twice that of Earth. What is the radius of this planet in terms of Earth’s radius?arrow_forward
- On a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forwardWhat is the gravitational acceleration close to the surface of a planet with a mass of 2ME and radius of 2RE where ME, and RE are the mass and radius of Earth, respectively? Answer as a multiple of g, the magnitude of the gravitational acceleration near Earths surface. (See Section 7.5.)arrow_forwardWhat is the acceleration due to gravity on the surface of Mars? The mass of Mars is 6.42 ✕ 1023 kg and its radius is 3.38 ✕ 106 m.arrow_forward
- A woman whose weight is 680 N on the Earth’s surface is in a spacecraft at an altitude above the Earth's surface equal to the radius of the Earth. Her approximate weight (in newtons) in the spacecraft isarrow_forwardThe escape speed from a distant planet is 33 km/s. If the acceleration of gravity on the planet surface is 16.0 m/s2, what is the radius of the planet?arrow_forwardAt what altitude above Earth's surface would the gravitational acceleration be 3.5 m/s2?arrow_forward
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