College Physics 1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: Paul Peter Urone, Roger Hinrichs
1 Introduction: The Nature Of Science And Physics 2 Kinematics 3 Two-dimensional Kinematics 4 Dynamics: Force And Newton's Laws Of Motion 5 Further Applications Of Newton's Laws: Friction, Drag, And Elasticity 6 Uniform Circular Motion And Gravitation 7 Work, Energy, And Energy Resources 8 Linear Momentum And Collisions 9 Statics And Torque 10 Rotational Motion And Angular Momentum 11 Fluid Statics 12 Fluid Dynamics And Its Biological And Medical Applications 13 Temperature, Kinetic Theory, And The Gas Laws 14 Heat And Heat Transfer Methods 15 Thermodynamics 16 Oscillatory Motion And Waves 17 Physics Of Hearing 18 Electric Charge And Electric Field 19 Electric Potential And Electric Field 20 Electric Current, Resistance, And Ohm's Law 21 Circuits And Dc Instruments 22 Magnetism 23 Electromagnetic Induction, Ac Circuits, And Electrical Technologies 24 Electromagnetic Waves 25 Geometric Optics 26 Vision And Optical Instruments 27 Wave Optics 28 Special Relativity 29 Introduction To Quantum Physics 30 Atomic Physics 31 Radioactivity And Nuclear Physics 32 Medical Applications Of Nuclear Physics 33 Particle Physics 34 Frontiers Of Physics Chapter6: Uniform Circular Motion And Gravitation
Chapter Questions Section: Chapter Questions
Problem 1CQ: There an analogy between rotational and physical quantities. What rotational quantities are... Problem 2CQ: Can centripetal acceleration change the speed of circular motion? Explain. Problem 3CQ: If you wish to reduce the stress (which related to centripetal force) on high-speed tires, would you... Problem 4CQ: Define centripetal force. Can any type of force (for example, tension, gravitational force,... Problem 5CQ: If centripetal force is directed toward the center, why do you feel that you are ‘thrown' away from... Problem 6CQ: Pace car drivers routinely cut corners as shown in Figure 6.32. Explain how this allows the curve to... Problem 7CQ: A number of amusement parks have rides that make loops like the one shown in Figure 6.33. For... Problem 8CQ: What is the direction of the force exerted by the car on the passenger as the car goes over the top... Problem 9CQ: As a skater forms a circle, what force is responsible for making her turn? Use a free body diagram... Problem 10CQ: Suppose a child is riding on a merry-go-round at a distance about halfway between its center and... Problem 11CQ: Do you feel yourself thrown to either side when you negotiate a curve that is ideally banked for... Problem 12CQ: Suppose a mass is moving in a circular path on a frictionless table as shown in figure. In the... Problem 13CQ: When a toilet is flushed or a sink is drained, (and other material) begins to rotate about the drain... Problem 14CQ: Is there a real force that throws water from clothes during the spin cycle of a washing machine?... Problem 15CQ: In one amusement park ride, riders enter a large vertical barrel and stand against the wall on its... Problem 16CQ: Actin at a distance, such as is the case for gravity, was once thought to be logical and therefore... Problem 17CQ: Two friends are having a conversation. Anna says a satellite in orbit in freefall because the... Problem 18CQ: A frame of reference placed at the center of the Sun inertial one. Why is it not exactly an inertial... Problem 19CQ: Action at a distance, such as is the case for gravity, was once thought to be illogical and... Problem 20CQ: Two friends are having a conversation. Anna says a satellite in orbit is in freefall because the... Problem 21CQ: Draw a free body diagram for a satellite in an elliptical orbit showing why its speed increases as... Problem 22CQ: Newton's laws of motion and gravity were among the first to convincingly demonstrate the underlying... Problem 23CQ: In what frame(s) of reference are Kepler's laws valid? Are Kepler's laws purely descriptive, or do... Problem 1PE: Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it... Problem 2PE: Microwave ovens rotate at a rate of about 6 rev/min. What is this in revolutions per second? What is... Problem 3PE: An automobile with 0.260 m radius tires travels 80,000 km before wearing them out. How many... Problem 4PE: (a) What is the period of rotation of Earth in seconds? (b) What is the angular velocity of Earth?... Problem 5PE: A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If... Problem 6PE: In lacrosse, a ball is thrown from a net on the end of a stick by rotating the stick and forearm... Problem 7PE: A truck with 0.420-m-radius tires travels at 32.0 m/s. What is the angular velocity of the rotating... Problem 8PE: Integrated Concepts When kicking a football, the kicker rotates his leg about the hip joint. (a) If... Problem 9PE: Construct Your Own Problem Consider an amusement park ride in which participants are rotated about a... Problem 10PE: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal... Problem 11PE: A runner taking part in the 200 m dash must run around the end of a track that has a circular arc... Problem 12PE: Taking the age of Earth to be about 4109 years and assuming its orbital radius of 1.51011 has not... Problem 13PE: The propeller of a World War Il fighter plane is 2.30 m in diameter. (a) What is its angular... Problem 14PE: An ordinary workshop grindstone has a radius of 7.50 cm and rotates at 6500 rev/min. (a) Calculate... Problem 15PE: Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a... Problem 16PE: Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians... Problem 17PE: What percentage of the acceleration at Earth's surface is the acceleration due to gravity at the... Problem 18PE: Verify that the linear speed of an ultracentrifuge is about 0.50 km/s, and Earth in its orbit is... Problem 19PE: A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an... Problem 20PE: At takeoff, a commercial jet has a 60.0 m/s speed. Its tires have a diameter of 0.850 m. (a) At how... Problem 21PE: Integrated Concepts Riders in an amusement park ride shaped like a Viking ship hung from a large... Problem 22PE: Unreasonable Results A mother pushes her child on a swing so that his speed is 9.00 m/s at the... Problem 23PE: (a) A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What... Problem 24PE: Calculate the centripetal force on the end of a 100 m (radius) wind turbine blade that is rotating... Problem 25PE: What is the ideal banking angle for a gentle turn of 1.20 km radius on a highway with a 105 km/h... Problem 26PE: What is the ideal speed to take a 100 m radius curve banked at a 20.0° angle? Problem 27PE: (a) What is the radius of a bobsled turn banked at 75.0° and taken at 30.0 m/s, assuming it is... Problem 28PE: Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen in Figure... Problem 29PE: A large centrifuge, like the one shown in Figure 6.37(a), is used to expose aspiring astronauts to... Problem 30PE: Integrated Concepts If a car takes a banked curve at less than the ideal speed, friction is needed... Problem 31PE: Modern roller coasters have vertical loops like the one shown in Figure 6.38. The radius of... Problem 32PE: Unreasonable Results (a) Calculate the minimum coefficient of friction needed for a car to negotiate... Problem 33PE: (a) Calculate Earth's mass given the acceleration due to gravity at the North Pole is 9.830 m/s2 and... Problem 34PE: (a) Calculate the magnitude of the acceleration due to gravity on the surface of Earth due to the... Problem 35PE: (a) What is the acceleration due to gravity on the surface of the Moon? (b) On the surface of Mars?... Problem 36PE: (a) Calculate the acceleration due to gravity on the surface of the Sun. (b) By what factor would... Problem 37PE: The Moon and Earth rotate about their common center of mass, which is located about 4700 km from the... Problem 38PE: Solve part (b) of Example 6.6 using ac=v2/r. Problem 39PE: Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the... Problem 40PE: The existence of the dwarf planet Pluto was proposed based on irregularities in Neptune's orbit.... Problem 41PE: (a) The Sun orbits the Milky Way galaxy once each 2.60108 y, with a roughly circular orbit averaging... Problem 42PE: Unreasonable Result A mountain 10.0 km from a person exerts a gravitational force on him equal to... Problem 43PE: A geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits... Problem 44PE: Calculate the mass of the Sun based on data for Earth's orbit and compare the value obtained with... Problem 45PE: Find the mass of Jupiter based on data for the orbit of one of its moons, and compare your result... Problem 46PE: Find the ratio of the mass of Jupiter to that of Earth based on data in Table 6.2. Problem 47PE: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.1011 solar... Problem 48PE: Integrated Concepts Space debris left from old satellites and their launchers is becoming a hazard... Problem 49PE: Unreasonable Results (a) Based on Kepler's laws and information on the orbital characteristics of... Problem 50PE: Construct Your Own Problem On February 14, 2000, the NEAR spacecraft was successfully inserted into... Problem 1CQ: There an analogy between rotational and physical quantities. What rotational quantities are...
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Concept explainers
An 8.00-cm-diameter, 370 gg solid sphere is released from rest at the top of a 1.50-m-long, 20.0 ∘∘ incline. It rolls, without slipping, to the bottom.
What is the sphere's angular velocity at the bottom of the incline?
Express your answer with the appropriate units.
What fraction of its kinetic energy is rotational?
Transcribed Image Text: I Reviev
An 8.00-cm-diameter, 370
from rest at the top of a 1.50-m-long, 20.0 ° incline. It
rolls, without slipping, to the bottom.
solid sphere is released
Part A
You may want to review (Pages 315 - 317).
What is the sphere's angular velocity at the bottom of the incline?
Express your answer with the appropriate units.
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Part B
What fraction of its kinetic energy is rotational?
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Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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