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 2, Problem 44P
A glider of length ℓ moves through a stationary photogate on an air track. A photogate (Fig. P2.44) is a device that measures the time interval Δtd during which the glider blocks a beam of infrared light passing across the photogate. The ratio vd = ℓ/Δtd is the average velocity of the glider over this part of its motion. Suppose the glider moves with constant acceleration. (a) Argue for or against the idea that vd is equal to the instantaneous velocity of the glider when it is halfway through the photogate in space. (b) Argue for or against the idea that vd is equal to the instantaneous velocity of the glider when it is halfway through the photogate in time.
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A glider on an air track carries a flag of length l through a stationary photogate, which measures the time interval Δtd during which the flag blocks a beam of infrared light passing across the photogate. The ratio vd = l/Δtd is the average velocity of the glider over this part of its motion. Suppose the glider moves with constant acceleration. (a) Is vd necessarily equal to the instantaneous velocity of the glider when it is halfway through the photogate in space? Explain. (b) Is vd equal to the instantaneous velocity of the glider when it is halfway through the photogate in time? Explain.
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Your answer should be accurate to the nearest 0.1 m.
A glider of length ℓ moves through a stationary photogate on an air track. A photogate (shown) is a device that measures the time interval Dtd during which the glider blocks a beam of infrared light passing across the photogate. The ratio υd = ℓ/Δtd is the average velocity of the glider over this part of its motion. Suppose the glider moves with constant acceleration. (a) Argue for or against the idea that υd is equal to the instantaneous velocity of the glider when it is halfway through the photogate in space. (b) Argue for or against the idea that υd is equal to the instantaneous velocity of the glider when it is halfway through the photogate in time.
Chapter 2 Solutions
Principles of Physics: A Calculus-Based Text
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