COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Chapter 6, Problem 3TP
To determine
The quantity that
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Chapter 6 Solutions
COLLEGE PHYSICS
Ch. 6 - There an analogy between rotational and physical...Ch. 6 - Can centripetal acceleration change the speed of...Ch. 6 - If you wish to reduce the stress (which related to...Ch. 6 - Define centripetal force. Can any type of force...Ch. 6 - If centripetal force is directed toward the...Ch. 6 - Pace car drivers routinely cut corners as shown in...Ch. 6 - A number of amusement parks have rides that make...Ch. 6 - What is the direction of the force exerted by the...Ch. 6 - As a skater forms a circle, what force is...Ch. 6 - Suppose a child is riding on a merry-go-round at a...
Ch. 6 - Do you feel yourself thrown to either side when...Ch. 6 - Suppose a mass is moving in a circular path on a...Ch. 6 - When a toilet is flushed or a sink is drained,...Ch. 6 - Is there a real force that throws water from...Ch. 6 - In one amusement park ride, riders enter a large...Ch. 6 - Actin at a distance, such as is the case for...Ch. 6 - Two friends are having a conversation. Anna says a...Ch. 6 - A frame of reference placed at the center of the...Ch. 6 - Action at a distance, such as is the case for...Ch. 6 - Two friends are having a conversation. Anna says a...Ch. 6 - Draw a free body diagram for a satellite in an...Ch. 6 - Newton's laws of motion and gravity were among the...Ch. 6 - In what frame(s) of reference are Kepler's laws...Ch. 6 - Semi-trailer trucks have an odometer on one hub of...Ch. 6 - Microwave ovens rotate at a rate of about 6...Ch. 6 - An automobile with 0.260 m radius tires travels...Ch. 6 - (a) What is the period of rotation of Earth in...Ch. 6 - A baseball pitcher brings his arm forward during a...Ch. 6 - In lacrosse, a ball is thrown from a net on the...Ch. 6 - A truck with 0.420-m-radius tires travels at 32.0...Ch. 6 - Integrated Concepts When kicking a football, the...Ch. 6 - Construct Your Own Problem Consider an amusement...Ch. 6 - A fairground ride spins its occupants inside a...Ch. 6 - A runner taking part in the 200 m dash must run...Ch. 6 - Taking the age of Earth to be about 4109 years and...Ch. 6 - The propeller of a World War Il fighter plane is...Ch. 6 - An ordinary workshop grindstone has a radius of...Ch. 6 - Helicopter blades withstand tremendous stresses....Ch. 6 - Olympic ice skaters are able to spin at about 5...Ch. 6 - What percentage of the acceleration at Earth's...Ch. 6 - Verify that the linear speed of an ultracentrifuge...Ch. 6 - A rotating space station is said to create...Ch. 6 - At takeoff, a commercial jet has a 60.0 m/s speed....Ch. 6 - Integrated Concepts Riders in an amusement park...Ch. 6 - Unreasonable Results A mother pushes her child on...Ch. 6 - (a) A 22.0 kg child is riding a playground...Ch. 6 - Calculate the centripetal force on the end of a...Ch. 6 - What is the ideal banking angle for a gentle turn...Ch. 6 - What is the ideal speed to take a 100 m radius...Ch. 6 - (a) What is the radius of a bobsled turn banked at...Ch. 6 - Part of riding a bicycle involves leaning at the...Ch. 6 - A large centrifuge, like the one shown in Figure...Ch. 6 - Integrated Concepts If a car takes a banked curve...Ch. 6 - Modern roller coasters have vertical loops like...Ch. 6 - Unreasonable Results (a) Calculate the minimum...Ch. 6 - (a) Calculate Earth's mass given the acceleration...Ch. 6 - (a) Calculate the magnitude of the acceleration...Ch. 6 - (a) What is the acceleration due to gravity on the...Ch. 6 - (a) Calculate the acceleration due to gravity on...Ch. 6 - The Moon and Earth rotate about their common...Ch. 6 - Solve part (b) of Example 6.6 using ac=v2/r.Ch. 6 - Astrology, that unlikely and vague pseudoscience,...Ch. 6 - The existence of the dwarf planet Pluto was...Ch. 6 - (a) The Sun orbits the Milky Way galaxy once each...Ch. 6 - Unreasonable Result A mountain 10.0 km from a...Ch. 6 - A geosynchronous Earth satellite is one that has...Ch. 6 - Calculate the mass of the Sun based on data for...Ch. 6 - Find the mass of Jupiter based on data for the...Ch. 6 - Find the ratio of the mass of Jupiter to that of...Ch. 6 - Astronomical observations of our Milky Way galaxy...Ch. 6 - Integrated Concepts Space debris left from old...Ch. 6 - Unreasonable Results (a) Based on Kepler's laws...Ch. 6 - Construct Your Own Problem On February 14, 2000,...Ch. 6 - Prob. 1TPCh. 6 - Prob. 2TPCh. 6 - Prob. 3TPCh. 6 - Prob. 4TP
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- A massive black hole is believed to exist at the center of our galaxy (and most other spiral galaxies). Since the 1990s, astronomers have been tracking the motions of several dozen stars in rapid motion around the center. Their motions give a clue to the size of this black hole. a. One of these stars is believed to be in an approximately circular orbit with a radius of about 1.50 103 AU and a period of approximately 30 yr. Use these numbers to determine the mass of the black hole around which this star is orbiting, b. What is the speed of this star, and how does it compare with the speed of the Earth in its orbit? How does it compare with the speed of light?arrow_forwardAstronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.1011 solar masses. A star orbiting on the galaxy's periphery is about 6.0104 light years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 instead, what is the mass of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies.arrow_forwardWhich of the following statements are fundamental postulates of the special theory of relativity? More than one statement may be correct. (a) Light moves through a substance called the ether. (b) The speed of light depends on the inertial reference frame in which it is measured. (c) The laws of physics depend on the inertial reference frame in which they are used. (d) The laws of physics are the same in all inertial reference frames. (e) The speed of light is independent of the inertial reference frame in which it is measured.arrow_forward
- Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.arrow_forwardOur solar system orbits the center of the Milky Way Galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note that this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.arrow_forwardShow that the velocity of a star orbiting its galaxy in a circular oibit is inversely proportional to the square root of its orbital radius, assuming the mass of the stars inside its orbit acts like a single mass at the center of the galaxy. You may use an equation from a previous chapter to support your conclusion, but you must justify its use and define all terms used.arrow_forward
- An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 years in the space-ships frame of reference. Assume the galaxy is 2.00 million light-years away and his speed is constant. (a) How fast must he travel relative to Earth? (b) What will be the kinetic energy of his spacecraft, which has mass of 1.00 106 kg? (c) What is the cost of this energy if it is purchased at a typical consumer price for electric energy, 13.0 cents per kWh? The following approximation will prove useful: 11+x1x2forx1arrow_forward. How many years would you have to wait to observe a 1° angular shift in the perihelion of Mercury due to general relativistic effects?arrow_forwardA spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 000 kg. Ii has strayed too close to a black hole having a mass 100 times that of the Sun (Fig. P11.11). The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. (a) Determine the total force on the spacecraft. (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in accelerations grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.)arrow_forward
- Our solar system orbits the center of the Milky Way galaxy. Assuming a circular orbit 30,000 ly in radius and an orbital speed of 250 km/s, how many years does it take for one revolution? Note than this is approximate, assuming constant speed and circular orbit, but it is representative of the time for our system and local stars to make one revolution around the galaxy.arrow_forward(a) Wliat is the approximate velocity relative to us of a galaxy near the edge of the known universe, some 10 Gly away? (b) What fraction of the speed of light is this? Note that we have observed galaxies moving away from us at greater than 0.9c.arrow_forwardIf astronauts could travel at v = 0.950c, we on Earth would say it takes (4.20/0.950) = 4.42 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree. (a) How much time passes on the astronauts clocks? (b) What is the distance to Alpha Centauri as measured by the astronauts?arrow_forward
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