College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 6, Problem 27P
Your spaceship lands on an unknown planet. To determine the characteristics of this planet, you does a wrench from 5.00 m above the ground and measure that it hits the ground 0.811 s later. (a) What is the acceleration of gravity near the surface of this planet? (b) Assuming that the planet has the same density as that of earth (550C Kg/m3), what is the radius of the planet?
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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.
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A planet orbiting a distant star has radius 3.54×106 mm. The escape speed for an object launched from this planet's surface is 7.65×103 m/sm/s.
What is the acceleration due to gravity at the surface of the planet?
Express your answer with the appropriate units.
Your spaceship lands on an unknown planet. To determine the characteristics of this planet, you drop a wrench from 3.00 m above the ground and measure that it hits the ground 0.814 s later.
a) What is the acceleration of gravity near the surface of this planet?
b) Assuming that the planet has the same density as that of earth (5500 kg/m^3), what is the radius of the planet?
Chapter 6 Solutions
College Physics (10th Edition)
Ch. 6 - If there is a net force on a particle in uniform...Ch. 6 - As a car rounds a banked circular curve at...Ch. 6 - A student wrote, The reason an apple falls...Ch. 6 - Non-physicists often ask questions such as What...Ch. 6 - During an actual interview for a college teaching...Ch. 6 - If two planets have the same mass, will they...Ch. 6 - True or false? Astronauts in satellites orbiting...Ch. 6 - True or false? If a rock is acted upon by a...Ch. 6 - On an icy road, you approach a curve that has the...Ch. 6 - You are riding on a roller coaster with a hill...
Ch. 6 - The moon is accelerating toward the earth. Does...Ch. 6 - A passenger in a car rounding a sharp curve feels...Ch. 6 - If the earth had twice its present mass, its...Ch. 6 - An astronaut is floating happily outside her...Ch. 6 - A frictional force f provides the centripetal...Ch. 6 - Two masses m and 2m are each forced to go around a...Ch. 6 - A stone of weight W is attached to a strong string...Ch. 6 - If a planet had twice the earths radius, but only...Ch. 6 - When a mass goes in a horizontal circle with speed...Ch. 6 - In the previous problem, if both the speed and the...Ch. 6 - Two 1.0 Kg point masses a distance D apart each...Ch. 6 - Two massless bags contain identical bricks, each...Ch. 6 - When two point masses are a distance D apart, each...Ch. 6 - If human beings ever travel to a planet whose mass...Ch. 6 - A racing car drives at constant speed around the...Ch. 6 - A stone with a mass of 0.80 kg is attached to one...Ch. 6 - Force on a skaters wrist. A 52 kg ice skater spins...Ch. 6 - A flat (unbanked) curve on a highway has a radius...Ch. 6 - The Giant Swing at a county fair consists of a...Ch. 6 - A small button placed on a horizontal rotating...Ch. 6 - Using only astronomical data from Appendix E,...Ch. 6 - A highway curve with radius 900.0 ft is to be...Ch. 6 - The Indy 500. The Indianapolis Speedway (home of...Ch. 6 - A bowling ball weighing 71.2 N is attached to the...Ch. 6 - A lead fishing weight of mass 0.2 kg is tied to a...Ch. 6 - A 50.0 kg stunt pilot who has been diving her...Ch. 6 - Effect on blood of walking. While a person is...Ch. 6 - Stay dry! You tie a cord to a pail of water, and...Ch. 6 - Stunt pilots and fighter pilots who fly at high...Ch. 6 - If two tiny identical spheres attract each other...Ch. 6 - What is the ratio of the suns gravitational pull...Ch. 6 - Rendezvous in space! A couple of astronauts agree...Ch. 6 - What is the ratio of the gravitational pull of the...Ch. 6 - A 2150 kg satellite used in a cellular telephone...Ch. 6 - At a distance N RE from the earths surface, where...Ch. 6 - Find the magnitude and direction of the net...Ch. 6 - How far from a very small 100 kg ball would a...Ch. 6 - Each mass in Figure 6.30 is 3.00 kg. Find the...Ch. 6 - An 8.00 kg point mass and a 15.0 kg point mass are...Ch. 6 - How many kilometers would you have to go above the...Ch. 6 - Your spaceship lands on an unknown planet. To...Ch. 6 - If an objects weight is W on the earth, what would...Ch. 6 - Huygens probe on Titan. In January 2005 the...Ch. 6 - The mass of the moon is about 1/81 the mass of the...Ch. 6 - Neutron stars, such as the one at the center of...Ch. 6 - The asteroid 243 Ida has a mass of about 4.0 1016...Ch. 6 - Prob. 33PCh. 6 - What is the period of revolution of a satellite...Ch. 6 - Prob. 35PCh. 6 - Planets beyond the solar system. On October 15,...Ch. 6 - Communications satellites. Communications...Ch. 6 - Prob. 38PCh. 6 - Apparent weightlessness in a satellite. You have...Ch. 6 - Baseball on Deimos! Deimos, a moon of Mars, is...Ch. 6 - International Space Station. The International...Ch. 6 - Artificial gravity. One way to create artificial...Ch. 6 - Shortest possible day. Consider the fact that an...Ch. 6 - Volcanoes on lo. Jupiters moon lo has active...Ch. 6 - You tie one end of 0.3-m-long spring to a 0.5 kg...Ch. 6 - An astronaut carefully measures the gravitational...Ch. 6 - Prob. 47GPCh. 6 - A 1125 kg car and a 2250 kg pickup truck approach...Ch. 6 - Exploring Europa. Europa, a satellite of Jupiter,...Ch. 6 - The star Rho1 Cancri is 57 light-years from the...Ch. 6 - A 4.00 kg block is attached to a vertical rod by...Ch. 6 - As your bus rounds a flat curve at constant speed...Ch. 6 - Artificial gravity in space stations. One problem...Ch. 6 - Based on these data, what is the most likely...Ch. 6 - How many times the acceleration due to gravity g...Ch. 6 - Exoplanets. As planets with a wide variety of...
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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_forward(a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?arrow_forwardOn a planet whose radius is 1.2107m , the acceleration due to gravity is 18m/s2 . What is the mass of the planet?arrow_forward
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