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 person with a mass of 27 kg is standing on a planet and experiences a weight of XYZ N. If the radius of the planet is 2.7 x 10^5 m. Can you determine the mass 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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- Let 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_forwardThe Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?arrow_forwardCalculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forward
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