College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 30P
The mass of the moon is about 1/81 the mass of the earth, its radius is
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One of Saturn's moons is named Mimas. The mean orbital distance of Mimas is 1.87 x 108 m. The mean orbital period of Mimas is approximately 23 hours (8.28x104 s). Use this information to estimate a mass for the planet Saturn.
(a) Calculate the magnitude of the gravitational force exerted by Mars on a 65 kg human standing on the surface of Mars. (The mass of Mars is 6.4x1023 kg and its
radius is 3.4x106 m.)
240.0277
✓ N
(b) Calculate the magnitude of the gravitational force exerted by the human on Mars.
240.0277
N
(c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 2.5 meters away.
1.76e8
XN
(d) What approximations or simplifying assumptions must you make in these calculations? (Note: Some of these choices are false because they are wrong physics!)
✔Treat Mars as though it were spherically symmetric.
Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another.
✔Treat the humans as though they were points or uniform-density spheres.
O Use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses.
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A rocket lifts off the pad at Cape Canaveral. According to Newton's Law of Gravitation, the force of gravity on the rocket is given by
F(x) = −GMm/x^2
where M is the mass of the earth, m is the mass of the rocket, G is a universal constant, and x is the distance (in miles) between the rocket and the center of the earth. Take the radius of the earth to be 4000 miles, so that x > 4000 miles.Find the work, W1, done against gravity when the rocket rises 1500 miles.
W1=___GMm (mile-pounds)
Next, find the limit of the work, W2 , as the rocket rises infinitely far from the earth.
W2=___GMm (mile-pounds)
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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