Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 4, Problem 4.5QQ
A particle moves along a path, and its speed increases with time. (i) In which of the following cases are its acceleration and velocity vectors parallel? (a) when the path is circular (h) when the path is straight (c) when the path is a parabola (d) never (ii) From the same choices, in which case are its acceleration and velocity vectors perpendicular everywhere along the path?
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The position r of a particle moving in an xy plane is given by ř
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particle's path at t = 3.00 s? Give your answer in the range of (-180°; 180°).
(4.00r3 – 1.00t)î + (5.00 – 1.00r4)j with 7 in meters and t in
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i
i Units
(b) Number
ît
i Units
i
(c) Number
i
i Units
(d) Number
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Question 5: The position vector of a particle moving in a circular path of
radius R is given by the following expression
T(t) = R[– sin(3t²)î+ cos(3t²)3]
where B is a positive constant (i and j are the unit vectors corresponding to x
and y axes in the two dimensional Cartesian Coordinate System, respectively).
At time t = 4 secs., what is the ratio of magnitudes of the tangential acceleration
and the centripetal acceleration, at where at and aț are the magnitudes of the
tangential and the centripetal accelerations, respectively.
Chapter 4 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 4 - Consider the following controls in an automobile...Ch. 4 - (i) As a projectile thrown at an upward angle...Ch. 4 - Rank the launch angles for the five paths in...Ch. 4 - A particle moves in a circular path of radius r...Ch. 4 - A particle moves along a path, and its speed...Ch. 4 - Figure OQ4.1 shows a bird's-eye view of a car...Ch. 4 - Entering his dorm room, a student tosses his book...Ch. 4 - A student throws a heavy red ball horizontally...Ch. 4 - A projectile is launched on the Earth with a...Ch. 4 - Does a car moving around a circular track with...
Ch. 4 - An astronaut hits a golf ball on the Moon. Which...Ch. 4 - A projectile is launched on the Earth with a...Ch. 4 - A girl, moving at 8 m/s on in-line skates, is...Ch. 4 - A sailor drops a wrench front the top of a...Ch. 4 - A baseball is thrown from the outfield toward the...Ch. 4 - Prob. 4.11OQCh. 4 - Prob. 4.12OQCh. 4 - In which of the following situations is the moving...Ch. 4 - Prob. 4.1CQCh. 4 - Ail ice skater is executing a figure eight,...Ch. 4 - If you know the position vectors of a particle at...Ch. 4 - Describe how a driver can steer a car traveling at...Ch. 4 - Prob. 4.5CQCh. 4 - Prob. 4.6CQCh. 4 - Explain whether or not the following particles...Ch. 4 - A motorist drives south at 20.0 m/s for 3.00 min,...Ch. 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 - A golf ball is hit off a tee at the edge of a...Ch. 4 - A particle initially located at the origin has an...Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - A fish swimming in a horizontal plane has velocity...Ch. 4 - Review. A snowmobile is originally at the point...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - An astronaut on a strange planet finds that she...Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - In a local bar. a customer slides an empty beer...Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - To start an avalanche on a mountain slope, an...Ch. 4 - Chinook salmon are able to move through water...Ch. 4 - A rock is thrown upward from level ground in such...Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - A ball is tossed from an upper-story window of a...Ch. 4 - A firefighter, a distance d from a burning...Ch. 4 - A landscape architect is planning an artificial...Ch. 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 - The motion of a human body through space can be...Ch. 4 - A soccer player kicks a rock horizontally off a...Ch. 4 - A projectile is fired from the top of a cliff of...Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - The record distance in the sport of throwing...Ch. 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 - Casting molten metal is important in many...Ch. 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 - Section 4.5 Tangential and Radial Acceleration...Ch. 4 - A train slows down as it rounds a sharp horizontal...Ch. 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 - An airplane maintains a speed of 630 km/h relative...Ch. 4 - A moving beltway at an airport has a speed 1 and a...Ch. 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 - A bolt drops from the ceiling of a moving train...Ch. 4 - A river has a steady speed of 0.500 m/s. A student...Ch. 4 - A river flows with a steady speed v. A student...Ch. 4 - A Coast Guard cutter detects an unidentified ship...Ch. 4 - A science student is riding on a flatcar of a...Ch. 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 - A ball is thrown with an initial speed i at an...Ch. 4 - Why is the following situation impassible? A...Ch. 4 - A particle starts from the origin with velocity...Ch. 4 - The Vomit Comet. In microgravity astronaut...Ch. 4 - A basketball player is standing on the floor 10.0...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - A flea is at point on a horizontal turntable,...Ch. 4 - Towns A and B in Figure P4.64 are 80.0 km apart. A...Ch. 4 - A catapult launches a rocket at an angle of 53.0...Ch. 4 - A cannon with a muzzle speed of 1 000 m/s is used...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - An astronaut on the surface of the Moon fires a...Ch. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A hawk is flying horizontally at 10.0 m/s in a...Ch. 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 - A truck loaded with cannonball watermelons stops...Ch. 4 - A car is parked on a steep incline, making an...Ch. 4 - An aging coyote cannot run fast enough to catch a...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - Do not hurt yourself; do not strike your hand...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - The water in a river flows uniformly at a constant...Ch. 4 - A person standing at the top of a hemispherical...Ch. 4 - A dive-bomber has a velocity or 280 m/s at ail...Ch. 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 - An enemy ship is on the east side of a mountain...
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