Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 4, Problem 63AP
(a)
To determine
Position of point A the moment flea lands.
(b)
To determine
Position of point B the moment flea lands.
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A horizontal turntable is rotating clockwise at a speed of 35.5 rev/min. The turntable is oriented in the xy-plane of a coordinate system, with the origin at the center of the turntable, and the +z-axis vertically upward. A point on the turntable is labeled A, and this point is 12.0 cm from the center of the turntable. A jumping spider sits at point A, and at the instant point A crosses the +x-axis (that is, when the position of the spider is 12.0î cm), the spider jumps straight up to a height of 2.00 cm. At takeoff, it gives itself no horizontal velocity relative to the turntable. A short time later, the spider lands back on the turntable. (Express your answers in vector form.)
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This figure (la| = 21.0 m/s2) represents the total acceleration of a particle moving clockwise in a circle of radius r = 1.90 m at a certain instant of time.
30.0°
1
(a) For that instant, find the radial acceleration of the particle.
m/s2 (toward the center)
(b) For that instant, find the speed of the particle.
m/s
(c) For that instant, find its tangential acceleration.
m/s2 (in the direction of the motion)
A baseball slugger hits a pitch and watches the ball fly into the bleachers for a home run, landing h=6.5mℎ=6.5m higher than it was struck. When visiting with the fan that caught the ball, he learned the ball was moving with final velocity vf=31.35m/s at an angle θf=25.5∘ below the horizontal when caught. Assume the ball encountered no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.
Create an expression for the ball’s initial horizontal velocity, v0,x, in terms of the variables given in the problem statement. Calculate the magnitude, in meters per second, of the vertical component of the ball’s initial velocity. Calculate the magnitude, in meters per second, of the ball’s initial velocity. Find the angle above the horizontal, in degrees, at which the ball left the bat.
Chapter 4 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 4.1 - Consider the following controls in an automobile...Ch. 4.3 - (i) As a projectile thrown at an upward angle...Ch. 4.3 - Rank the launch angles for the five paths in...Ch. 4.4 - A particle moves in a circular path of radius r...Ch. 4.5 - A particle moves along a path, and its speed...Ch. 4 - Prob. 1OQCh. 4 - Entering his dorm room, a student tosses his book...Ch. 4 - A student throws a heavy red ball horizontally...Ch. 4 - Prob. 4OQCh. 4 - Does a car moving around a circular track with...
Ch. 4 - An astronaut hits a golf ball on the Moon. Which...Ch. 4 - Prob. 7OQCh. 4 - Prob. 8OQCh. 4 - A sailor drops a wrench from the top of a...Ch. 4 - A baseball is thrown from the outfield toward the...Ch. 4 - A set of keys on the end of a string is swung...Ch. 4 - A rubber stopper on the end of a string is swung...Ch. 4 - Prob. 13OQCh. 4 - A spacecraft drifts through space at a constant...Ch. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Describe how a driver can steer a car traveling at...Ch. 4 - A projectile is launched at some angle to the...Ch. 4 - Construct motion diagrams showing the velocity and...Ch. 4 - Explain whether or not the following particles...Ch. 4 - Prob. 1PCh. 4 - When the Sun is directly overhead, a hawk dives...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - Prob. 9PCh. 4 - Review. A snowmobile is originally at the point...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - Prob. 12PCh. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - Prob. 14PCh. 4 - A projectile is fired in such a way that its...Ch. 4 - Prob. 16PCh. 4 - Chinook salmon are able to move through water...Ch. 4 - Prob. 18PCh. 4 - The speed of a projectile when it reaches its...Ch. 4 - Prob. 20PCh. 4 - A firefighter, a distance d from a burning...Ch. 4 - Prob. 22PCh. 4 - A placekicker must kick a football from a point...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A playground is on the flat roof of a city school,...Ch. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - Prob. 30PCh. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - A home run is hit in such a way that the baseball...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - Prob. 35PCh. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - Review. The 20-g centrifuge at NASAs Ames Research...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - Figure P4.40 represents the total acceleration of...Ch. 4 - Prob. 41PCh. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - The pilot of an airplane notes that the compass...Ch. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - A police car traveling at 95.0 km/h is traveling...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - A river flows with a steady speed v. A student...Ch. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - Prob. 56APCh. 4 - Prob. 57APCh. 4 - A particle starts from the origin with velocity...Ch. 4 - Prob. 59APCh. 4 - Prob. 60APCh. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - Prob. 63APCh. 4 - Prob. 64APCh. 4 - Prob. 65APCh. 4 - Prob. 66APCh. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - Prob. 69APCh. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - Prob. 71APCh. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - A World War II bomber flies horizontally over...Ch. 4 - Prob. 76APCh. 4 - Prob. 77APCh. 4 - Prob. 78APCh. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - Prob. 80APCh. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - Prob. 83CPCh. 4 - Prob. 84CPCh. 4 - Prob. 85CPCh. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - A fireworks rocket explodes at height h, the peak...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - Prob. 89CP
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