Flying Circus of Physics Traffic shock wave. An abrupt slowdown in concentrated traffic can travel as a pulse, termed a shock wave, along the line of cars, either downstream (in the traffic direction) or upstream, or it can be stationary. The figure shows a uniformly spaced line of cars moving at speed v = 27.0 m/s toward a uniformly spaced line of slow cars moving at speed vs = 5.30 m/s. Assume that each faster car adds length L = 13.0 m (car length plus buffer zone) to the line of slow cars when it joins the line, and assume it slows abruptly at the last instant. (a) For what separation distance d between the faster cars does the shock wave remain stationary? If the separation is twice that amount, what are the (b) speed and (c) direction (upstream or downstream) of the shock wave? (a) Number 53.1 (b) Number i 4.36 (c) downstream | LdL→dL→▬▬▬▬ TOY TOT V Units m Units m/s Car Buffer Vs

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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Flying Circus of Physics
Traffic shock wave. An abrupt slowdown in concentrated traffic can travel as a pulse, termed a shock wave, along the line of cars, either
downstream (in the traffic direction) or upstream, or it can be stationary. The figure shows a uniformly spaced line of cars moving at
speed v = 27.0 m/s toward a uniformly spaced line of slow cars moving at speed vç = 5.30 m/s. Assume that each faster car adds length L
= 13.0 m (car length plus buffer zone) to the line of slow cars when it joins the line, and assume it slows abruptly at the last instant. (a)
For what separation distance d between the faster cars does the shock wave remain stationary? If the separation is twice that amount,
what are the (b) speed and (c) direction (upstream or downstream) of the shock wave?
(a) Number 53.1
(b) Number
(c)
downstream
4.36
|LdL→→
Units
Units
m
m/s
dLL→L→
COO
Car
Buffer
Transcribed Image Text:Flying Circus of Physics Traffic shock wave. An abrupt slowdown in concentrated traffic can travel as a pulse, termed a shock wave, along the line of cars, either downstream (in the traffic direction) or upstream, or it can be stationary. The figure shows a uniformly spaced line of cars moving at speed v = 27.0 m/s toward a uniformly spaced line of slow cars moving at speed vç = 5.30 m/s. Assume that each faster car adds length L = 13.0 m (car length plus buffer zone) to the line of slow cars when it joins the line, and assume it slows abruptly at the last instant. (a) For what separation distance d between the faster cars does the shock wave remain stationary? If the separation is twice that amount, what are the (b) speed and (c) direction (upstream or downstream) of the shock wave? (a) Number 53.1 (b) Number (c) downstream 4.36 |LdL→→ Units Units m m/s dLL→L→ COO Car Buffer
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