The 2 m/s motion of a freely coasting tank car is momentarily stopped by a sprin
ID: 1551815 • Letter: T
Question
The 2 m/s motion of a freely coasting tank car is momentarily stopped by a spring bumper comprised of two un-compressed springs arranged end-to-end as shown having spring constants kA = 7300 N/mm and kB = 9490 N/mm. The total compression at the instant the tank car stops is 0.49 m. Determine the mass of the tank car in kg. An elevator mass of 1900 kg falls from a height of 56 m after a sudden failure in the hoisting cable. The mass is stopped by a spring at the bottom of the shaft having a spring constant of 65 kN/m. Determine the spring's compression distance in m that brings the falling elevator momentarily to rest.Explanation / Answer
in seris k = k1k2/k1+k2 = 4126.1 N/mm = 4126.1 kN/m
compresed length x = 0.49 m
from conservation of energy
1/2mv^2 = 1/2kx^2
m = kx^2/v^2 = 2.48*10^5 kg
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