Principles of Physics: A Calculus-Based Text
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 5, Problem 64P

If a single constant force acts on an object that moves on a straight line, the object’s velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vikx, where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.

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Chapter 5 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 5 - An office door is given a sharp push and swings...Ch. 5 - Prob. 5OQCh. 5 - A pendulum consists of a small object called a bob...Ch. 5 - A door in a hospital has a pneumatic closer that...Ch. 5 - The driver of a speeding truck slams on the brakes...Ch. 5 - A child is practicing for a BMX race. His speed...Ch. 5 - A large crate of mass m is placed on the flatbed...Ch. 5 - Before takeoff on an airplane, an inquisitive...Ch. 5 - Prob. 12OQCh. 5 - As a raindrop falls through the atmosphere, its...Ch. 5 - An object of mass m is sliding with speed vi at...Ch. 5 - A car is moving forward slowly and is speeding up....Ch. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQCh. 5 - It has been suggested that rotating cylinders...Ch. 5 - Prob. 12CQCh. 5 - Why does a pilot tend to black out when pulling...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - The person in Figure P5.6 weighs 170 lb. As seen...Ch. 5 - A 9.00-kg hanging object is connected by a light,...Ch. 5 - Prob. 8PCh. 5 - A 3.00-kg block starts from rest at the top of a...Ch. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - A block of mass 3.00 kg is pushed up against a...Ch. 5 - Two blocks connected by a rope of negligible mass...Ch. 5 - Three objects are connected on a table as shown in...Ch. 5 - Why is the following situation impossible? Your...Ch. 5 - Prob. 16PCh. 5 - A light string can support a stationary hanging...Ch. 5 - Why is the following situation impossible? The...Ch. 5 - A crate of eggs is located in the middle of the...Ch. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - A roller coaster at the Six Flags Great America...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - A pail of water is rotated in a vertical circle of...Ch. 5 - Prob. 27PCh. 5 - A child of mass m swings in a swing supported by...Ch. 5 - Prob. 29PCh. 5 - (a) Estimate the terminal speed of a wooden sphere...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - A 9.00-kg object starting from rest falls through...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Consider the three connected objects shown in...Ch. 5 - A car rounds a banked curve as discussed in...Ch. 5 - Prob. 45PCh. 5 - An aluminum block of mass m1 = 2.00 kg and a...Ch. 5 - Figure P5.47 shows a photo of a swing ride at an...Ch. 5 - Why is the following situation impossible? A...Ch. 5 - A space station, in the form of a wheel 120 m in...Ch. 5 - A 5.00-kg block is placed on top of a 10.0-kg...Ch. 5 - In Example 6.5, we investigated the forces a child...Ch. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Why is the following situation impossible? A book...Ch. 5 - A single bead can slide with negligible friction...Ch. 5 - An amusement park ride consists of a large...Ch. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - If a single constant force acts on an object that...
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Principles of Physics: A Calculus-Based Text
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