Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
10th Edition
ISBN: 9781337888585
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 6, Problem 50CP
You have a great job working at a major league baseball stadium for the summer! At this stadium, the speed of every pitch is measured using a radar gun aimed at the pitcher by an operator behind home plate. The operator has so much experience with this job that he has perfected a technique by which he can make each measurement at the exact instant at which the ball leaves the pitcher’s hand. Your supervisor asks you to construct an algorithm that will provide the speed of the ball as it crosses home plate, 18.3 m from the pitcher, based on the measured speed vi of the ball as it leaves the pitcher’s hand. The speed at home plate will be lower due to the resistive force of the air on the baseball. The vertical motion of the ball is small, so, to a good approximation, we can consider only the horizontal motion of the ball. You begin to develop your algorithm by applying the particle under a net force to the baseball in the horizontal direction. A pitch is measured to have a speed of 40.2 m/s as it leaves the pitcher’s hand. You need to tell your supervisor how fast it was traveling as it crossed home plate. (Hint: Use the chain rule to express acceleration in terms of a derivative with respect to x, and then solve a differential equation for v to find an expression for the speed of the baseball as a function of its position. The function will involve an exponential. Also make use of Table 6.1.)
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Bob has just finished climbing a sheer cliff above a level
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ground. Bob's friend then measures that the ball hit the
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How high h above the beach was the ball when it
was thrown?
Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has to use,
however, is a baseball, a stopwatch, and a friend on the beach below with a long measuring tape. Bob is a pitcher and he knows
that the fastest he can throw the ball is about vo = 34.5 m/s. Bob starts the stopwatch as he throws the ball (with no way to
measure the ball's initial trajectory), and watches carefully. The ball rises and then falls, and after t₁ = 0.510 s the ball is once
again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball
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2 m
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X
Bob's position=
x10
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m
A Global Positioning System (GPS) receiver is a device that
lets you figure out where you are by receiving timed radio signals from satellites. It
works by measuring the travel time for the signals, which is related to the distance
between you and the satellite. By finding the ranges to several different satellites in
this way, it can pin down your location in three dimensions to within a few meters.
How accurate does the measurement of the time delay have to be in units of
nanoseconds to determine your position to 30 m accuracy? 1s 10^9 ns
Your Answer:
Answer
Chapter 6 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
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Ch. 6 - You are working during your summer break as an...Ch. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - A 40.0-kg child swings in a swing supported by two...Ch. 6 - Prob. 11PCh. 6 - One end of a cord is fixed and a small 0.500-kg...Ch. 6 - A roller coaster at the Six Flags Great America...Ch. 6 - An object of mass m = 5.00 kg, attached to a...Ch. 6 - A person stands on a scale in an elevator. As the...Ch. 6 - Review. A student, along with her backpack on the...Ch. 6 - A small container of water is placed on a...Ch. 6 - The mass of a sports car is 1 200 kg. The shape of...Ch. 6 - Review. A window washer pulls a rubber squeegee...Ch. 6 - A small piece of Styrofoam packing material is...Ch. 6 - Prob. 21PCh. 6 - Assume the resistive force acting on a speed...Ch. 6 - You can feel a force of air drag on your hand if...Ch. 6 - A car travels clockwise at constant speed around a...Ch. 6 - A string under a tension of 50.0 N is used to...Ch. 6 - Disturbed by speeding cars outside his workplace,...Ch. 6 - A car of mass m passes over a hump in a road that...Ch. 6 - A childs toy consists of a small wedge that has an...Ch. 6 - A seaplane of total mass m lands on a lake with...Ch. 6 - An object of mass m1 = 4.00 kg is tied to an...Ch. 6 - A ball of mass m = 0.275 kg swings in a vertical...Ch. 6 - Why is the following situation impossible? A...Ch. 6 - The pilot of an airplane executes a loop-the-loop...Ch. 6 - A basin surrounding a drain has the shape of a...Ch. 6 - Review. While learning to drive, you arc in a 1...Ch. 6 - A truck is moving with constant acceleration a up...Ch. 6 - Prob. 37APCh. 6 - A puck of mass m1 is tied to a string and allowed...Ch. 6 - Prob. 39APCh. 6 - Members of a skydiving club were given the...Ch. 6 - A car rounds a banked curve as discussed in...Ch. 6 - Prob. 42APCh. 6 - Review. A piece of putty is initially located at...Ch. 6 - A model airplane of mass 0.750 kg flies with a...Ch. 6 - A 9.00-kg object starting from rest falls through...Ch. 6 - For t 0, an object of mass m experiences no force...Ch. 6 - A golfer tees off from a location precisely at i =...Ch. 6 - A single bead can slide with negligible friction...Ch. 6 - Prob. 49CPCh. 6 - You have a great job working at a major league...
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