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 Chapter3: Two-dimensional Kinematics
Chapter Questions Section: Chapter Questions
Problem 1CQ: Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the... Problem 2CQ: Give a specific example of a vector, stating its magnitude, units, and direction. Problem 3CQ: What do vectors and scalars have in common? How do they differ? Problem 4CQ: Two calipers in a national park hike from their cabin to the same spot on a lake, each taking a... Problem 5CQ: If an airplane plot is told to fly 123 km in a straight line to get from San Francisco to... Problem 6CQ: Suppose you take two steps A and B (that is, two nonzero displacements). Under what circumstances... Problem 7CQ: Explain why it is not possible to add a scalar to a vector. Problem 8CQ: If you take two steps of different sizes, can you end up at your starting point? More generally, can... Problem 9CQ: Suppose you add two vectors A and B. What relative direction between them produces the resultant... Problem 10CQ: Give an example of a nonzero vector that has a component of zero. Problem 11CQ: Explain why a vector cannot have a component greater than its own magnitude. Problem 12CQ: If the vectors A and B are perpendicular, what is the component of A along the direction of B? What... Problem 13CQ: Answer the following questions for projectile motion on level ground assuming negligible air... Problem 14CQ: Answer the following questions for projectile motion on level ground assuming negligible air... Problem 15CQ: For a fixed initial speed, the range of a projectile is determined by the angle at which it is... Problem 16CQ: During a lecture demonstration, a professor places coins on the edge of a table, She then flicks one... Problem 17CQ: What frame or frames of reference do you instinctively use when driving a car? When flying in a... Problem 18CQ: A basketball player dribbling clown the court usually keeps his eyes fixed on the players around... Problem 19CQ: If someone riding in the back of a pickup truck and throws a softball straight backward, is possible... Problem 20CQ: The hat of a jogger running at constant velocity falls off the back of his head. Draw a sketch... Problem 21CQ: A clod of dirt falls from the bed of a moving truck. It strikes the ground directly below the end of... Problem 1PE: Find the following for path A in Figure 3.54: (a) the total distance traveled, and (b) the magnitude... Problem 2PE: Find the following for path B in Figure 3.54: (a) the total distance traveled, and (b) the magnitude... Problem 3PE: Find the north and east components of the displacement for the hikers shown in Figure 3.52. Problem 4PE: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your... Problem 5PE: Suppose you first walk 12.0 m in a direction 20° west of north and then 20.0 m in a direction 40.0°... Problem 6PE: Repeat the problem above, but reverse the order of the two legs of the walk; show that you get the... Problem 7PE: (a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction... Problem 8PE: Show that the order of addition of three vectors does not affect their sum. Show this property by... Problem 9PE: Show that the sum of the vectors discussed in Example 3.2 gives the result shown in Figure 3.24. Problem 10PE: Find the magnitudes of velocity vAand vBin figure 3.57 Problem 11PE: Find the components of vtot along the x- and y-axes in Figure 3.57. Problem 12PE: Find the components of vtot along a set of perpendicular axes rotated 30° counterclockwise relative... Problem 13PE: Find the following for path C in Figure 3.58: (a) the total distance traveled and (b) the magnitude... Problem 14PE: Find the following for path D in Figure 3.58: (a) the total distance traveled and (b) the magnitude... Problem 15PE: Find the north and east components of the displacement from San Francisco to Sacramento shown in... Problem 16PE: Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and... Problem 17PE: Repeat Exercise 3.16 using analytical techniques, but reverse the order of the two legs of the walk... Problem 18PE: You drive 7.50 km in a straight line in a direction 15° east of north. (a) Find the distances you... Problem 19PE: Do Exercise 3.16 again using analytical techniques and change the second leg of the walk to 25.0 m... Problem 20PE: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west... Problem 21PE: You fly 32.0 km in a straight line in still air in the direction 35.0° south of west. (a) Find the... Problem 22PE: A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides,... Problem 23PE: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great... Problem 24PE: Suppose a pilot flies 40.0 km in a direction 60° north of east and then flies 30.0 km in a direction... Problem 25PE: A projectile is launched at ground level with an initial speed of 50.0 m/s at an angle of 30.0°... Problem 26PE: A ball is kicked with an initial velocity of 16 m/s in the horizontal direction and 12 m/s in the... Problem 27PE: A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of... Problem 28PE: (a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by... Problem 29PE: An archer shoots an arrow at a 75.0 m distant target; the bull's-eye of the target is at same height... Problem 30PE: A rugby player passes the ball 7.00 m across the field, where it is caught at the same height as it... Problem 31PE: Verify the ranges for the projectiles in Figure 3.41(a) for =45 and the given initial velocities. Problem 32PE: Verity the ranges shown for the projectiles in Figure 3.41(b) for an initial velocity of 50 m/s at... Problem 33PE: The cannon on a battleship can fire a shell a maximum distance of 32.0 km. (a) Calculate the initial... Problem 34PE: An arrow is shot from a height of 1.5 m toward a cliff of height H. It is shot with a velocity of 30... Problem 35PE: In the standing broad jump, one squats and then pushes off with the legs to see how far one can... Problem 36PE: The world long jump record is 8.95 m (Mike Powell, USA, 1991). Treated as a projectile, what is the... Problem 37PE: Serving at a speed of 170 km/h, a tennis player hits the ball at a height of 2.5 m and an angle ... Problem 38PE: A football quarterback is moving straight backward at a speed of 2.00 m/s when he throws a pass to a... Problem 39PE: Gun sights are adjusted to aim high to compensate for the effect of gravity, effectively making the... Problem 40PE: An eagle is flying horizontally at a speed of 3.00 m/s when the fish in her talons wiggles loose and... Problem 41PE: An owl is carrying a mouse to the chicks in its nest. Its position at that time is 4.00 m west and... Problem 42PE: Suppose a soccer player kicks the ball from a distance 30 m toward the goal. Find the initial speed... Problem 43PE: Can a goalkeeper at her/ his goal kick a soccer ball into the opponent's goal without the ball... Problem 44PE: The free throw line in basketball is 4.57 m (15 ft) from the basket, which is 3.05 m (10 ft) above... Problem 45PE: In 2007, Michael Carter (U.S.) set a world record in the shot put with a throw of 24.77 m. What was... Problem 46PE: A basketball player is running at 5.00 m/s directly toward the basket when he jumps into the air to... Problem 47PE: A football player punts the ball at a 45.0° angle. Without an effect from the wind, the ball would... Problem 48PE: Prove that the trajectory of a projectile is parabolic, having the form y=ax+bx2. To obtain this... Problem 49PE: Derive R=v02sin20g for the range of a projectile on level ground by finding the time t at which y... Problem 50PE: Unreasonable Results (a) Find the maximum range of a super cannon that has a muzzle velocity of 4.0... Problem 51PE: Construct Your Own Problem Consider a ball tossed over a fence. Construct a problem in which you... Problem 52PE: Bryan Allen pedaled a human-powered aircraft across the English Channel from the cliffs of Dover to... Problem 53PE: A seagull flies at a velocity of 9.00 m/s straight into the wind. (a) If it takes the bird 20.0 min... Problem 54PE: Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The... Problem 55PE: Verity that the coin dropped by the airline passenger in the Example 3.8 travels 144 m horizontally... Problem 56PE: A football quarterback is moving straight backward at a speed of 2.00 m/s when he throws a pass to a... Problem 57PE: A ship sets sail from Rotterdam, The Netherlands, heading due north at 7.00 m/s relative to the... Problem 58PE: (a) A jet airplane flying from Darwin, Australia, has an air speed of 260 m/s in a direction 5.0°... Problem 59PE: (a) In what direction would the ship in Exercise 3.57 have to travel in order to have a velocity... Problem 60PE: (a) Another airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 20° south... Problem 61PE: A sandal is dropped from the top of a 15.0-m-high mast on a ship moving at 1.75 m/s due south.... Problem 62PE: The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an... Problem 63PE: The great astronomer Edwin Hubble discovered that all distant galaxies are receding from our Milky... Problem 64PE: (a) Use the distance and velocity data in Figure 3.64 to find the rate of expansion as a function of... Problem 65PE: An athlete crosses a 25-m-wide river by swimming perpendicular to the water current at a speed of... Problem 66PE: A ship sailing in the Gulf Stream is heading 25.0° west of north at a speed of 4.00 m/s relative to... Problem 67PE: An ice hockey player is moving at 8.00 m/s when he hits the puck toward the goal. The speed of the... Problem 68PE: Unreasonable Results Suppose you wish to shoot supplies straight up to astronauts in an orbit 36,000... Problem 69PE: Unreasonable Results A commercial airplane has an air speed of 280 m/s due east and flies with a... Problem 70PE: Construct Your Own Problem Consider an airplane headed for a runway in a cross wind. Construct a... Problem 12PE: Find the components of vtot along a set of perpendicular axes rotated 30° counterclockwise relative...
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Concept explainers
A uniform disk with a radius R swings without friction about a perpendicular axis on the rim. If it is released from rest from a position with the center horizontal with the axis, then what is its angular velocity as it swings through the point where the center is below the axis?
Transcribed Image Text: axis
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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