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 18P
Rendezvous in space! A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring them together. One of them has a mass of 65 kg and the other a mass of 72 kg, and they start from rest 20.0 m apart. (a) Make a free-body diagram of each astronaut, and use it to find his or her initial acceleration. As a rough approximation, we can model the astronauts as uniform spheres. (b) If the astronauts’ acceleration remained constant, how many days would they have to wait before reaching each other? (Careful! They both have acceleration toward each other.) (c) Would their acceleration, in fact, remain constant? If not, would it increase or decrease? Why?
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A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring them together. One of them has a mass of 65 kg and the other a mass of 72 kg, and they start from rest 20.0 m apart. (a) Make a free-body diagram of each astronaut, and use it to find his or her initial acceleration. As a rough approximation, we can model the astronauts as uniform spheres. (b) If the astronauts’ acceleration remained constant, how many days would they have to wait before reaching each other? (Careful! They both have acceleration toward each other.) (c) Would their acceleration, in fact, remain constant? If not, would it increase or decrease? Why?
The following questions relate to other Moons in our solar system.
a. Europa is a Galilean satellite of Jupiter, where there is most probably a liquid water ocean underneath a thick cover of ice due to internal heating caused by the interaction with Jupiter and the other Galilean moons . The orbital period of Europa is P = 3.551 days; the semimajor axis of its orbit is a = 670 900km. Given this information, find the mass of Jupiter.
b. Deimos is the outer moon of Mars. The orbital period of Deimos is P = 1.263 days; the semimajor axis of its orbit is a = 23 463.2km. Find the mass of Mars.
Astronomers have observed a small, massive object at the center of our Milky Way Galaxy. A ring of material orbits this massive object; the ring has a diameter of about 17 light-years and an orbital speed of about 100 km/s. A) Determine the mass M of the massive object at the center of the Milky Way Galaxy. Give your answer in kilograms.Express your answer in kilograms. B) Give your answer in solar masses (one solar mass is the mass of the sun). Express your answer in units of solar masses. C) Many astronomers believe that the massive object at the center of the Milky Way Galaxy is a black hole. If so, what must the Schwarzschild radius RS of this black hole be? Express your answer in meters.
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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