1 Physics And Measurement 2 Motion In One Dimension 3 Vectors 4 Motion In Two Dimensions 5 The Laws Of Motion 6 Circular Motion And Other Applications Of Newton’s Laws 7 Energy Of A System 8 Conservation Of Energy 9 Linear Momentum And Collisions 10 Rotation Of A Rigid Object About A Fixed Axis 11 Angular Momentum 12 Static Equilibrium And Elasticity 13 Universal Gravitation 14 Fluid Mechanics 15 Oscillatory Motion 16 Wave Motion 17 Sound Waves 18 Superposition And Standing Waves 19 Temperature 20 The First Law Of Thermodynamics 21 The Kinetic Theory Of Gases 22 Heat Engines, Entropy, And The Second Law Of Thermodynamics 23 Electric Fields 24 Gauss’s Law 25 Electric Potential 26 Capacitance And Dielectrics 27 Current And Resistance 28 Direct-current Circuits 29 Magnetic Fields 30 Sources Of The Magnetic Field 31 Faraday’s Law 32 Inductance 33 Alternating Current Circuits 34 Electromagnetic Waves 35 The Nature Of Light And The Principles Of Ray Optics 36 Image Formation 37 Wave Optics 38 Diffraction Patterns And Polarization 39 Relativity Chapter4: Motion In Two Dimensions
Chapter Questions Section: Chapter Questions
Problem 4.1QQ: Consider the following controls in an automobile in motion: gas pedal, brake, steering wheel. What... Problem 4.2QQ: (i) As a projectile thrown at an upward angle moves in its parabolic path (such as in Fig. 4.9), at... Problem 4.3QQ: Rank the launch angles for the five paths in Figure 4.11 with respect to time of flight from the... Problem 4.4QQ: A particle moves in a circular path of radius r with speed v. It then increases its speed to 2v... Problem 4.5QQ: A particle moves along a path, and its speed increases with time. (i) In which of the following... Problem 4.1OQ: Figure OQ4.1 shows a bird's-eye view of a car going around a highway curve. As the car moves from... Problem 4.2OQ: Entering his dorm room, a student tosses his book bag to the right and upward at an angle of 45 with... Problem 4.3OQ: A student throws a heavy red ball horizontally from a balcony of a tall building with an initial... Problem 4.4OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air... Problem 4.5OQ: Does a car moving around a circular track with constant speed have (a) zero acceleration, (b) an... Problem 4.6OQ: An astronaut hits a golf ball on the Moon. Which of the following quantities, if any. remain... Problem 4.7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air... Problem 4.8OQ: A girl, moving at 8 m/s on in-line skates, is overtaking a boy moving at 5 m/s as they both skate on... Problem 4.9OQ: A sailor drops a wrench front the top of a sailboats vertical mast while the boat is moving rapidly... Problem 4.10OQ: A baseball is thrown from the outfield toward the catcher. When the hall reaches its highest point,... Problem 4.11OQ Problem 4.12OQ Problem 4.13OQ: In which of the following situations is the moving object appropriately modeled as a projectile?... Problem 4.1CQ Problem 4.2CQ: Ail ice skater is executing a figure eight, consisting of two identically shaped, tangent circular... Problem 4.3CQ: If you know the position vectors of a particle at two points along its path and also know the time... Problem 4.4CQ: Describe how a driver can steer a car traveling at constant speed so that (a) the acceleration is... Problem 4.5CQ Problem 4.6CQ Problem 4.7CQ: Explain whether or not the following particles have an acceleration: (a) a particle moving in a... Problem 4.1P: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00... Problem 4.2P: When the Sun is directly overhead, a hawk dives toward the ground with a constant velocity of 5.00... Problem 4.3P: Suppose the position vector for a particle is given as a function of time by r(t)=x(t)i+y(t)j, with... Problem 4.4P: The coordinates of an object moving in the xy plane vary with time according to the equations x =... Problem 4.5P: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time... Problem 4.6P: A particle initially located at the origin has an acceleration of a = 3.00j m/s2 and an initial... Problem 4.7P: The vector position of a particle varies in time according to the expression r=3.00i6.00t2j, where r... Problem 4.8P: It is not possible to see very small objects, such as viruses, using an ordinary light microscope.... Problem 4.9P: A fish swimming in a horizontal plane has velocity vi = (4.00i + 1.00j) m/s at a point in the ocean... Problem 4.10P: Review. A snowmobile is originally at the point with position vector 29.0 m at 95.0 counterclockwise... Problem 4.11P: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lionFelis... Problem 4.12P: An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0 m if... Problem 4.13P: In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the... Problem 4.14P: In a local bar. a customer slides an empty beer mug down the counter for a refill. The height of the... Problem 4.15P: A projectile is fired in such a way that its horizontal range is equal to three times its maximum... Problem 4.16P: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of... Problem 4.17P: Chinook salmon are able to move through water especially fast by jumping out of the water... Problem 4.18P: A rock is thrown upward from level ground in such a way that the maximum height of its flight is... Problem 4.19P: The speed of a projectile when it reaches its maximum height is one-half its speed when it is at... Problem 4.20P: A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of... Problem 4.21P: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at... Problem 4.22P: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s... Problem 4.23P: A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Hall the... Problem 4.24P: A basketball star covers 2.80 m horizontally in a jump to dunk the ball (Fig. P4.12a). His motion... Problem 4.25P: A playground is on the flat roof of a city school, 6.00 m above the street below (Fig. P4.25). The... Problem 4.26P: The motion of a human body through space can be modeled as the motion of a particle at the bodys... Problem 4.27P: A soccer player kicks a rock horizontally off a 40.0-m-high cliff into a pool of water. If the... Problem 4.28P: A projectile is fired from the top of a cliff of height h above the ocean below. The projectile is... Problem 4.29P: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed... Problem 4.30P: The record distance in the sport of throwing cowpats is 81.1 m. This record toss was set by Steve... Problem 4.31P: A boy stands on a diving board and tosses a stone into a swimming pool. The stone is thrown from a... Problem 4.32P: A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from... Problem 4.33P: The athlete shown in Figure P4.21 rotates a 1.00-kg discus along a circular path of radius 1.06 m.... Problem 4.34P: In Example 4.6, we found the centripetal acceleration of the Earth as it revolves around the Sun.... Problem 4.35P: Casting molten metal is important in many industrial processes. Centrifugal casting is used for... Problem 4.36P: A tire 0.500 m in radius rotates at a constant rate of 200 rev/min. Find the speed and acceleration... Problem 4.37P: Review. The 20-g centrifuge at NASAs Ames Research Center in Mountain View, California, is a... Problem 4.38P: An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is... Problem 4.39P: The astronaut orbiting the Earth in Figure P4.19 is preparing to dock with a Westar VI satellite.... Problem 4.40P: Section 4.5 Tangential and Radial Acceleration Figure P4.40 represents the total acceleration of a... Problem 4.41P: A train slows down as it rounds a sharp horizontal turn, going from 90.0 km/h to 50.0 km/h in the... Problem 4.42P: A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball... Problem 4.43P: (a) Can a particle moving with instantaneous speed 3.00 m/s on a path with radius of curvature 2.00... Problem 4.44P: The pilot of an airplane notes that the compass indicates a heading due west. The airplanes speed... Problem 4.45P: An airplane maintains a speed of 630 km/h relative to the air it is flying through as it makes a... Problem 4.46P: A moving beltway at an airport has a speed 1 and a length L. A woman stands on the beltway as it... Problem 4.47P: A police car traveling at 95.0 km/h is traveling west, chasing a motorist traveling at 80.0 km/h.... Problem 4.48P: A car travels due east with a speed of 50.0 km/h. Raindrops are falling at a constant speed... Problem 4.49P: A bolt drops from the ceiling of a moving train car that is accelerating northward at a rate of 2.50... Problem 4.50P: A river has a steady speed of 0.500 m/s. A student swims upstream a distance of 1.00 km and swims... Problem 4.51P: A river flows with a steady speed v. A student swims upstream a distance d and then back to the... Problem 4.52P: A Coast Guard cutter detects an unidentified ship at a distance of 20.0 km in the direction 15.0... Problem 4.53P: A science student is riding on a flatcar of a train traveling along a straight, horizontal track at... Problem 4.54P: A farm truck moves due east with a constant velocity of 9.50 m/s on a limitless, horizontal stretch... Problem 4.55AP: A ball on the end of a string is whirled around in a horizontal circle of radius 0.300 m. The plane... Problem 4.56AP: A ball is thrown with an initial speed i at an angle i with the horizontal. The horizontal range of... Problem 4.57AP: Why is the following situation impassible? A normally proportioned adult walks briskly along a... Problem 4.58AP: A particle starts from the origin with velocity 5im/s at t = 0 and moves in the xy plane with a... Problem 4.59AP: The Vomit Comet. In microgravity astronaut training and equipment testing, NASA flies a KC135A... Problem 4.60AP: A basketball player is standing on the floor 10.0 m from the basket as in Figure P4.60. The height... Problem 4.61AP: Lisa in her Lamborghini accelerates at (3.00i2.00j)m/s2, while Jill in her Jaguar accelerates at... Problem 4.62AP: A boy throws a stone horizontally from the top of a cliff of height h toward the ocean below. The... Problem 4.63AP: A flea is at point on a horizontal turntable, 10.0 cm from the center. The turntable is rotating at... Problem 4.64AP: Towns A and B in Figure P4.64 are 80.0 km apart. A couple arranges to drive from town A and meet a... Problem 4.65AP: A catapult launches a rocket at an angle of 53.0 above the horizontal with an initial speed of 100... Problem 4.66AP: A cannon with a muzzle speed of 1 000 m/s is used to start an avalanche on a mountain slope. The... Problem 4.67AP: Why is the following situation impossible? Albert Pujols hits a home run so that the baseball just... Problem 4.68AP: As some molten metal splashes, one droplet flies off to the east with initial velocity vi at angle i... Problem 4.69AP: An astronaut on the surface of the Moon fires a cannon to launch an experiment package, which leaves... Problem 4.70AP: A pendulum with a cord of length r = 1.00 m swings in a vertical plane (Fig. P4.42). When the... Problem 4.71AP: A hawk is flying horizontally at 10.0 m/s in a straight line, 200 m above the ground. A mouse it has... Problem 4.72AP: A projectile is launched from the point (x = 0, y = 0), with velocity (12.0i19.0j)m/s2, at t = 0.... Problem 4.73AP: A spring cannon is located at the edge of a table that is 1.20 m above the floor. A steel ball is... Problem 4.74AP: An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate.... Problem 4.75AP: A World War II bomber flies horizontally over level terrain with a speed of 275 m/s relative to the... Problem 4.76AP: A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a... Problem 4.77AP: A car is parked on a steep incline, making an angle of 37.0 below the horizontal and overlooking the... Problem 4.78AP: An aging coyote cannot run fast enough to catch a road-runner. He purchases on eBay a set of... Problem 4.79AP: A fisherman sets out upstream on a river. His small boat, powered by an outboard motor, travels at a... Problem 4.80AP: Do not hurt yourself; do not strike your hand against anything. Within these limitations, describe... Problem 4.81CP: A skier leaves the ramp of a ski jump with a velocity of v = 10.0 m/s at = 15.0 above the... Problem 4.82CP: Two swimmers, Chris and Sarah, start together at the same point on the hank, of a wide stream that... Problem 4.83CP: The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m... Problem 4.84CP: A person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on... Problem 4.85CP: A dive-bomber has a velocity or 280 m/s at ail angle below the horizontal. When the altitude of the... Problem 4.86CP: A projectile is fired up an incline (incline angle ) with an initial speed vi at an angle i with... Problem 4.87CP: A fireworks rocket explodes at height h, the peak of its vertical trajectory. It throws out burning... Problem 4.88CP: In the What If? section of Example 4.5, it was claimed that the maximum range of a ski jumper occurs... Problem 4.89CP: An enemy ship is on the east side of a mountain island as shown in Figure P4.89. The enemy ship has... Problem 4.37P: Review. The 20-g centrifuge at NASAs Ames Research Center in Mountain View, California, is a...
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The Cajun Cliffhanger at Great America is a ride in which occupants line the perimeter of a cylinder and spin in a circle at a high rate of turning. When the cylinder begins spinning very rapidly, the floor is removed from under the riders' feet. What effect does a doubling in speed have upon the centripetal force ? Explain.
Definition Definition Force on a body along the radial direction. Centripetal force is responsible for the circular motion of a body. The magnitude of centripetal force is given by F C = m v 2 r m = mass of the body in the circular motion v = tangential velocity of the body r = radius of the circular path
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