A railroad car which has a mass 9216 kg is constrained to move along a horizontal track under the action of a wind blowing in the direction of the track. The frictional resistance to the car motion is 1/200 of its weight. The force exerted by wind is P=kSu2 , where S is the area of the backside of the railroad car, equals to 6 m2 , and u is the velocity of the wind relative to car, k=0.12. The absolute velocity of the wind is w=12 m/s. The initial velocity of the railroad car is 0. Determine: a) the maximum velocity vmax of the railroad car; b) the time T taken to reach this velocity; c) the distance x, travelled by the railroad car before reaching a velocity of 3 m/s
A railroad car which has a mass 9216 kg is constrained to move along a horizontal track under the action of a wind blowing in the direction of the track. The frictional resistance to the car motion is 1/200 of its weight. The force exerted by wind is P=kSu2 , where S is the area of the backside of the railroad car, equals to 6 m2 , and u is the velocity of the wind relative to car, k=0.12. The absolute velocity of the wind is w=12 m/s. The initial velocity of the railroad car is 0. Determine: a) the maximum velocity vmax of the railroad car; b) the time T taken to reach this velocity; c) the distance x, travelled by the railroad car before reaching a velocity of 3 m/s
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 48PQ: In 2011, artist Hans-Peter Feldmann covered the walls of a gallery at the New York Guggenheim Museum...
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A railroad car which has a mass 9216 kg is constrained to move along a horizontal
track under the action of a wind blowing in the direction of the track. The frictional
resistance to the car motion is 1/200 of its weight. The force exerted by wind is
P=kSu2
, where S is the area of the backside of the railroad car, equals to 6 m2
, and
u is the velocity of the wind relative to car, k=0.12. The absolute velocity of the
wind is w=12 m/s. The initial velocity of the railroad car is 0. Determine:
a) the maximum velocity vmax of the railroad car;
b) the time T taken to reach this velocity;
c) the distance x, travelled by the railroad car before reaching a velocity of 3 m/s
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