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 2CQ
To determine
Draw a motion diagram of velocity and acceleration vectors at several points along the path of motion.
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A man runs around a circular track of 800 meters radius for 30 seconds, starting at a point directly to the right of the center and goes in a counterclockwise manner. He goes 5 meters per second for the first 15 seconds, runs 90 meters for the next 6 seconds and then 180 meters for the rest of the course. What was his average speed, his displacement from the starting point, his average velocity, and his total displacement upon return to the starting point?
Each of the following equations describes the motion of a particle moving along the unit circle in the ry-plane. However, the dynamics are different in each case. In each
case, determine whether the particle has constant speed, whether the particle's acceleration is always orthogonal to its velocity, which direction the particle travels, and where the
particle begins.
QUESTION
F(t) = cos(t") i + sin(t³) j,
t > 0.
Does the particle have constant speed? Yes v
Is the particle's acceleration vector always orthogonal to its velocity vector? Yes v
Does the particle move clockwise or counterclockwise around the circle? ?
Does the particle begin at the point (1,0)? No
Clockwise
Counterclockwise
Both
Neither
A particle moves in a circular path according to the clockwise equation θ(t)=π/4+3t+2t2, where θ is the angle between the particle's position vector and the x axis, oriented positively counterclockwise. θ is measured in radians and t in seconds.
Which of the drawings qualitatively represents the velocity vectors v (in red) and acceleration a (in blue) of the particle at time t=0?
Choose an option :
A, B, C, D, E, F, G, or H
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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