At a particular train station you notice a large horizontal spring at the end of

Question

At a particular train station you notice a large horizontal spring at the end of the track where the train arrives. Thisi a safety device to prevent the train from plowing through te satin. You wonder what would be the fastest speed that the train could go that the spring could fully stop by compressing a distance of 3 FEET. to keep the passangers safe when the spring stops the train, you assume that the max stopping power acceleratin provided by the spring is g/2 guessing the train mass is 0.5 milliion kilograms.

Determine

The spring constant

Determine

max safe speed

Please explain values and abbrivations

Explanation / Answer

F =ma=(9.8/2)*500000 N=2450000 N

this is ekual to kx

so k=2679352.58

the train has to be decelerated to 0 in 3 feet distance

so v^2=2as

v=2.98 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.