COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Chapter 18, Problem 27TP
To determine
The gravitational forcebetween the particles.
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Planet A has a mass of mA = 1.50 × 1024 kg and planet B has a mass of mB = 2.40 × 1023 kg. The planets are a distance d = 1.50 × 108 km apart. Suppose your mass is 85.0 kg, and you are located exactly half way in between the two planets. Calculate the total gravitational force on your body due to the two planets.
Three identical very dense masses of 5600 kg each are placed on the x axis. One mass is at x1= -120 cm , one is at the origin, and one is at x2 = 380 cm .
What is the magnitude of the net gravitational force Fgrav on the mass at the origin due to the other two masses?
Take the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2
What is the direction of the net gravitational force on the mass at the origin due to the other two masses?
The radius of Earth is 6.4 x 106 m. Its orbital radius around the Sun is
1.5 x 10¹¹ m. The
masses of Earth and the Sun, respectively, are
6 x 1024 kg and 2 x 1030 kg. What is the
magnitude of the gravitational force of attraction between Earth and the Sun?
3.6x102² N
5.3x10³³ N
2.0x10³¹ N
31
01. 2x10³8 N
Chapter 18 Solutions
COLLEGE PHYSICS
Ch. 18 - There are very large numbers of charged particles...Ch. 18 - Why do most objects tend to contain nearly equal...Ch. 18 - An eccentric inventor attempts to levitate by...Ch. 18 - If you have charged an electroscope by contact...Ch. 18 - When a glass rod is rubbed with silk, it becomes...Ch. 18 - Why does a car always attract dust right after it...Ch. 18 - Describe how a positively charged object can be...Ch. 18 - What is grounding? What effect does it have on a...Ch. 18 - Prob. 9CQCh. 18 - If the electric field lines in the figure above...
Ch. 18 - The discussion of the electric field between two...Ch. 18 - Would the self-created electric field at the end...Ch. 18 - Why is a golfer with a metal dub over her shoulder...Ch. 18 - Can the belt of aVan de Graaff accelerator he a...Ch. 18 - Are you relatively safe from lightning inside an...Ch. 18 - Discuss pros and cons of a lightning rod being...Ch. 18 - Prob. 17CQCh. 18 - Prob. 18CQCh. 18 - Prob. 19CQCh. 18 - Prob. 20CQCh. 18 - Prob. 21CQCh. 18 - In regions of low humidity, one develops a special...Ch. 18 - Tollbooth stations on roadways and bridges usually...Ch. 18 - Suppose a woman carries an excess charge. To...Ch. 18 - Prob. 25CQCh. 18 - Prob. 26CQCh. 18 - Given the polar character of water molecules,...Ch. 18 - Why must the test charge q in the definition of...Ch. 18 - Are the direction and magnitude of the Coulomb...Ch. 18 - Compare and contrast the Coulomb force field and...Ch. 18 - Prob. 31CQCh. 18 - A cell membrane is a thin layer enveloping a cell....Ch. 18 - Common static electricity involves charges ranging...Ch. 18 - If 1.801020electrons move through a pocket...Ch. 18 - To start a car engine, the car battery moves...Ch. 18 - A certain lightning bolt moves 40.0 C of charge....Ch. 18 - Suppose a speck of dust in an electrostatic...Ch. 18 - An amoeba has 1.001016protons and a net charge of...Ch. 18 - A 50.0 g ball of copper has a net charge of 2.00...Ch. 18 - What net charge would you place on a 100 g piece...Ch. 18 - How many coulombs of positive charge are there in...Ch. 18 - Prob. 10PECh. 18 - Prob. 11PECh. 18 - Prob. 12PECh. 18 - Prob. 13PECh. 18 - Prob. 14PECh. 18 - Prob. 15PECh. 18 - Prob. 16PECh. 18 - Prob. 17PECh. 18 - Prob. 18PECh. 18 - Prob. 19PECh. 18 - Prob. 20PECh. 18 - Prob. 21PECh. 18 - Prob. 22PECh. 18 - Prob. 23PECh. 18 - What is the repulsive force between two pith balls...Ch. 18 - (a) How strong is the attractive force between a...Ch. 18 - Two point charges exert a 5.00 N force on each...Ch. 18 - Two point charges are brought closer together,...Ch. 18 - How far apart must two point charges of 75.0 nC...Ch. 18 - If two equal charges each of 1 C each are...Ch. 18 - A test charge of +2C is placed halfway between a...Ch. 18 - Bare free charges do not remain stationary when...Ch. 18 - (a) By what factor must you change the distance...Ch. 18 - Suppose you have a total charge qtot that you can...Ch. 18 - (a) Common transparent tape becomes charged when...Ch. 18 - Find the ratio of the electrostatic to...Ch. 18 - At what distance is the electrostatic force...Ch. 18 - A certain five cent coin contains 5.00 g of...Ch. 18 - (a) Two point charges totaling 8.00 C exert a...Ch. 18 - Point charges of 5.00 C and 3.00/C are placed...Ch. 18 - (a) Two point charges q1 and q23.00 m apart, and...Ch. 18 - What is the magnitude and direction of an electric...Ch. 18 - What is the magnitude and direction of the force...Ch. 18 - Calculate the magnitude of the electric field 2.00...Ch. 18 - (a) What magnitude point charge creates a 10,000...Ch. 18 - Calculate the initial (from rest) acceleration of...Ch. 18 - (a) Find the direction and magnitude of an...Ch. 18 - (a) Sketch the electric field lines near a point...Ch. 18 - Prob. 48PECh. 18 - Prob. 49PECh. 18 - Prob. 50PECh. 18 - (a) What is the electric field 5.00 m from the...Ch. 18 - (a) What is the direction and magnitude of an...Ch. 18 - Prob. 53PECh. 18 - Earth has a net charge that produces an electric...Ch. 18 - Point charges of 25.0 C and 45.0 (2 are placed...Ch. 18 - What can you say about two charges q1and q2, if...Ch. 18 - Integrated Concepts Calculate the angular velocity...Ch. 18 - Integrated Concepts An electron has an initial...Ch. 18 - Integrated Concepts The practical limit to an...Ch. 18 - Integrated Concepts A 5.00 g charged insulating...Ch. 18 - Integrated Concepts Figure 18.57 shows an electron...Ch. 18 - Integrated Concepts The classic Millikan oil drop...Ch. 18 - Integrated Concepts (a) In Figure 18.59, four...Ch. 18 - Unreasonable Results 64. (a) Calculate the...Ch. 18 - Unreasonable results (a) Two 0.500 g raindrops in...Ch. 18 - Unreasonable results A wrecking yard inventor...Ch. 18 - Construct Your Own Problem Consider two insulating...Ch. 18 - Construct Your Own Problem Consider identical...Ch. 18 - Prob. 1TPCh. 18 - Prob. 2TPCh. 18 - Prob. 3TPCh. 18 - Prob. 4TPCh. 18 - Prob. 5TPCh. 18 - Prob. 6TPCh. 18 - Prob. 7TPCh. 18 - Prob. 8TPCh. 18 - Prob. 9TPCh. 18 - Prob. 10TPCh. 18 - Prob. 11TPCh. 18 - Prob. 12TPCh. 18 - Prob. 13TPCh. 18 - Prob. 14TPCh. 18 - Prob. 15TPCh. 18 - Prob. 16TPCh. 18 - Prob. 17TPCh. 18 - Prob. 18TPCh. 18 - Prob. 19TPCh. 18 - Prob. 20TPCh. 18 - Prob. 21TPCh. 18 - Prob. 22TPCh. 18 - Prob. 23TPCh. 18 - Prob. 24TPCh. 18 - Prob. 25TPCh. 18 - Prob. 26TPCh. 18 - Prob. 27TPCh. 18 - Prob. 28TPCh. 18 - Prob. 29TPCh. 18 - Prob. 30TPCh. 18 - Prob. 31TPCh. 18 - Prob. 32TPCh. 18 - Prob. 33TPCh. 18 - Prob. 34TPCh. 18 - Prob. 35TPCh. 18 - Prob. 36TPCh. 18 - Prob. 37TPCh. 18 - Prob. 38TPCh. 18 - Prob. 39TPCh. 18 - Prob. 40TPCh. 18 - Prob. 41TP
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- The 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_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_forwardTwo black holes (the remains of exploded stars), separated by a distance of 10.0 AU (1 AU = 1.50 1011 m), attract one another with a gravitational force of 8.90 1025 N. The combined mass of the two black holes is 4.00 1030 kg. What is the mass of each black hole?arrow_forward
- The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.arrow_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_forwardFor many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?arrow_forward
- A planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forwardThe gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is in the space station in orbit around the Earth, is the gravitational force on her (a) larger, (b) exactly the same, (c) smaller, (d) nearly but not exactly zero, or (e) exactly zero?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
- The astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27arrow_forwardEstimate 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_forwardA satellite of mass 16.7 kg in geosynchronous orbit at an altitude of 3.58 104 km above the Earths surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite. Hint: The answer is not 163 N.arrow_forward
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