Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 2, Problem 14P
(a)
To determine
The minimum time required by the driver to decelerate the car.
(b)
To determine
The minimum distance that is required to move forward during the deceleration.
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A human being cannot tolerate acceleration of much more than a few hundred m/s2 without sustaining serious permanent injury. If the acceleration is sustained for more than a few seconds, the maximum tolerable acceleration is much less. Suppose a car is initially moving at 31.2 m/s and then is quickly stopped in a collision.
(a) What is the minimum time over which the driver must be decelerated in order that he not experience an acceleration of magnitude greater than 1.02 102 m/s2? Assume constant acceleration.(b) What is the minimum distance the driver must be allowed to move forward during the deceleration? (Air bags are an improvement over seat belts because the distance the driver moves forward is greater with a compressible air bag than with a seat belt. This does not mean, however, that you would want to move forward in the car without air bags.)
Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme deceleration on the human body. On December 10, 1954, Stapp rode a rocket sled, accelerating from rest to a top speed of 282 m/s (1015 km/h) in 5.00 s, and was brought jarringly back to rest in only 1.40 s!Calculate the magnitude of his average acceleration during the first part of his motion. Express your answer in multiples of g by taking its ratio to 9.80 m/s2. calculate the magnitude his average deceleration during the second part of his motion. Express your answer in multiples of g by taking its ratio to 9.80 m/s2.
In a collision, an automobile initially traveling at 50 km/h decelerates at a constant rate of 200 m/s2. A passenger not wearing a seatbelt crashes against the dashboard. Before the collision, the distance between the passenger and the dashboard was 0.60 m. With what speed relative to the automobile does the passenger crash into the dashboard? Assume that the passenger has no deceleration before contact with the dashboard.
Chapter 2 Solutions
Physics Fundamentals
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