Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 32P
(a)
To determine
To sketch: The vector diagram showing the components of acceleration.
(b)
To determine
The magnitude of radial acceleration.
(c)
To determine
The speed and velocity of the ball.
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A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its total acceleration is (-22.5 î + 20.2 ĵ ) m/s2. For that instant, (a) sketch a vectordiagram showing the components of its acceleration, (b) determine the magnitude of its radial acceleration, and (c) determine the speed and velocity of the ball.
A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m
long. When the ball is 36.9° past the lowest point on its way up, its resultant
acceleration is à = (-22.5î + 20.2j) m/s², where i is the unit vector along the
horizontal direction (you can treat it as pointing to the right), and j is the unit
vector along the vertical direction (you can treat it as pointing upward).
For that instant,
(i) determine the magnitude of its centripetal
acceleration in m/s?
(ii) determine the speed of the ball in in m/s
(iii) determine the velocity of the ball in m/s, i and j.
A ball swings counterclockwise in a vertical circle at the end of a rope 1.56 m long. When the ball is 37.1° past the lowest
point on its way up, its total acceleration is (-17.9î + 23.7j) m/s2. For that instant, do the following.
(a) Sketch a vector diagram showing the components of its acceleration
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magnitude
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Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
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Ch. 3 - An astronaut hits a golf ball on the Moon. Which...Ch. 3 - A projectile is launched on the Earth with a...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A sailor drops a wrench from the top of a...Ch. 3 - A set of keys on the end of a string is swung...Ch. 3 - Prob. 12OQCh. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - A projectile is launched at some angle to the...Ch. 3 - A motorist drives south at 20.0 m/s for 3.00 min,...Ch. 3 - Prob. 2PCh. 3 - A particle initially located at the origin has an...Ch. 3 - It is not possible to see very small objects, such...Ch. 3 - A fish swimming in a horizontal plane has velocity...Ch. 3 - At t = 0, a particle moving in the xy plane with...Ch. 3 - Mayan kings and many school sports teams are named...Ch. 3 - The small archerfish (length 20 to 25 cm) lives in...Ch. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - A firefighter, a distance d from a burning...Ch. 3 - A soccer player kicks a rock horizontally off a...Ch. 3 - Prob. 18PCh. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - Prob. 20PCh. 3 - A playground is on the flat roof of a city school,...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - As their booster rockets separate, Space Shuttle...Ch. 3 - Prob. 26PCh. 3 - The astronaut orbiting the Earth in Figure P3.27...Ch. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - A point on a rotating turntable 20.0 cm from the...Ch. 3 - Figure P3.31 represents the total acceleration of...Ch. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - A certain light truck can go around an unbanked...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - Why is the following situation impassible? A...Ch. 3 - An astronaut on the surface of the Moon fires a...Ch. 3 - The Vomit Comet. In microgravity astronaut...Ch. 3 - A projectile is fired up an incline (incline angle...Ch. 3 - A basketball player is standing on the floor 10.0...Ch. 3 - A truck loaded with cannonball watermelons stops...Ch. 3 - A ball on the end of a string is whirled around in...Ch. 3 - An outfielder throws a baseball to his catcher in...Ch. 3 - Prob. 51PCh. 3 - A skier leaves the ramp of a ski jump with a...Ch. 3 - A World War II bomber flies horizontally over...Ch. 3 - A ball is thrown with an initial speed vi at an...Ch. 3 - Prob. 55PCh. 3 - A person standing at the top of a hemispherical...Ch. 3 - An aging coyote cannot run fast enough to catch a...Ch. 3 - Prob. 58PCh. 3 - The water in a river flows uniformly at a constant...Ch. 3 - Prob. 61P
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