Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 2, Problem 9PQ
Elisha Graves Otis invented the elevator brake in the mid-1800s, making it possible to build tall skyscrapers with fast elevators. Today’s skyscrapers are a large fraction of a mile tall; for example. Taipei 101 in Taiwan has 101 stories and is 515 m (0.32 miles) tall. The top speed of the elevator in the Taipei 101 tower is roughly three times greater than the ascent rate of a commercial jet airplane. The position and time data in the table are based on such an elevator.
a. Working in SI units, make a position-versus-time graph for the elevator. (You may wish to use a spreadsheet program.)
b. Describe the motion of the elevator in words.
c. Find the highest speed of the elevator. When is the elevator going at this speed?
d. What sort of considerations would the engineers need to make to ensure the comfort of the passengers?
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body. He made multiple runs strapped to a rocket sled that quickly accelerated him to high speeds along a straight track (see figure).
His research led to improvements in restraining harnesses and seatbelts for pilots and automobile occupants. During his final run, he
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magnitude 46.2g, or 46.2 times the acceleration of gravity at the Earth's surface. Although he survived, he did sustain injuries, such as a
fractured wrist, broken ribs, and bleeding in his eyes. Calculate how long it took to bring the rocket sled to rest. Assume the
deceleration was constant during the braking period.
Number
i
Units
John Paul Stapp, Image
taken from https://
commons.wikimedia.
org/wiki/File:Stapp_
hits_the_brakes,_hard.gif
Keystone/Stringer/…
Chapter 2 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 2.2 - In each of the five motion diagrams shown in...Ch. 2.3 - For each of the following, give the vector...Ch. 2.5 - Figure 2.11 shows the motion of various objects:...Ch. 2.6 - The top marathon runners complete the race in...Ch. 2.6 - In our everyday experience, we sometimes use the...Ch. 2.6 - Prob. 2.6CECh. 2.8 - Kinematics graphs are great for showing how a...Ch. 2 - Is the Moons motion around the Earth...Ch. 2 - An animals tracks are frozen in the snow (Fig....Ch. 2 - Problems 3 and 12 are paired. G A particle moves...
Ch. 2 - Prob. 4PQCh. 2 - For each of the following velocity vectors, give...Ch. 2 - In the traditional Hansel and Gretel fable, the...Ch. 2 - After a long and grueling race, two cadets, A and...Ch. 2 - Prob. 8PQCh. 2 - Elisha Graves Otis invented the elevator brake in...Ch. 2 - As shown in Figure 2.9, Whipple chose a coordinate...Ch. 2 - Prob. 11PQCh. 2 - Prob. 12PQCh. 2 - A race car travels 825 km around a circular sprint...Ch. 2 - Prob. 14PQCh. 2 - A train leaving Albuquerque travels 293 miles, due...Ch. 2 - Prob. 16PQCh. 2 - The position of a particle attached to a vertical...Ch. 2 - Prob. 18PQCh. 2 - Prob. 19PQCh. 2 - Prob. 20PQCh. 2 - During a relay race, you run the first leg of the...Ch. 2 - Prob. 22PQCh. 2 - Prob. 23PQCh. 2 - Prob. 24PQCh. 2 - During a thunderstorm, a frightened child is...Ch. 2 - Scientists and engineers must interpret problems...Ch. 2 - Prob. 27PQCh. 2 - Prob. 28PQCh. 2 - A In attempting to break one of his many swimming...Ch. 2 - A The instantaneous speed of a particle moving...Ch. 2 - A particles velocity is given by vy(t)=atj, where...Ch. 2 - Prob. 32PQCh. 2 - Figure P2.33 shows the y-position (in blue) of a...Ch. 2 - A particles position is given by z(t) = (7.50...Ch. 2 - Prob. 35PQCh. 2 - Two sprinters start a race along a straight track...Ch. 2 - An electronic line judge camera captures the...Ch. 2 - During a bungee jump, a student (i) initially...Ch. 2 - Prob. 39PQCh. 2 - Prob. 40PQCh. 2 - Prob. 41PQCh. 2 - Prob. 42PQCh. 2 - Prob. 43PQCh. 2 - Prob. 44PQCh. 2 - A computer system, using a preset coordinate...Ch. 2 - In Example 2.6, we considered a simple model for a...Ch. 2 - A uniformly accelerating rocket is found to have a...Ch. 2 - Prob. 48PQCh. 2 - A driver uniformly accelerates his car such that...Ch. 2 - Car A and car B travel in the same direction along...Ch. 2 - Accelerating uniformly to overtake a slow-moving...Ch. 2 - An object that moves in one dimension has the...Ch. 2 - A particle moves along the positive x axis with a...Ch. 2 - Case Study Crall and Whipple attached a fan to a...Ch. 2 - Prob. 55PQCh. 2 - The engineer of an intercity train observes a rock...Ch. 2 - A pebble is thrown downward from a 44.0-m-high...Ch. 2 - In a cartoon program, Peter tosses his baby,...Ch. 2 - Tadeh launches a model rocket straight up from his...Ch. 2 - Prob. 60PQCh. 2 - In the movie Star Wars: The Empire Strikes Back,...Ch. 2 - A worker tosses bricks one by one to a coworker on...Ch. 2 - A rock is thrown straight up into the air with an...Ch. 2 - Prob. 64PQCh. 2 - A sounding rocket, launched vertically upward with...Ch. 2 - Prob. 66PQCh. 2 - While strolling downtown on a Saturday Afternoon,...Ch. 2 - Prob. 68PQCh. 2 - A trooper is moving due south along the freeway at...Ch. 2 - A dancer moves in one dimension back and forth...Ch. 2 - The electrical impulse initiated by the nerves in...Ch. 2 - Two cars leave Seattle at the same time en route...Ch. 2 - An object begins to move along the y axis and its...Ch. 2 - Prob. 74PQCh. 2 - Prob. 75PQCh. 2 - Two carts are set in motion at t = 0 on a...Ch. 2 - Prob. 77PQCh. 2 - Cars A and B each move to the right with constant...Ch. 2 - Prob. 79PQCh. 2 - Prob. 80PQCh. 2 - Prob. 82PQCh. 2 - Prob. 83PQCh. 2 - A Write expressions for the average acceleration...Ch. 2 - Prob. 85PQCh. 2 - Prob. 86PQCh. 2 - In 1898, the world land speed record was set by...Ch. 2 - In Example 2.12, two circus performers rehearse a...Ch. 2 - Prob. 89PQ
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