Class Management I Help Work and nrg Begin Date: 10/26/2017 12:01:00 AM-Due Date

Question

Class Management I Help Work and nrg Begin Date: 10/26/2017 12:01:00 AM-Due Date: 10/31/2017 11:59:00 PM End Date: 11/2/2017 11:59:00 PM (20%) Problem 4: A 5.6 x 10% kg subway train is brought to a stop from a speed of o.55 m/s in 0.5I m by a large spring bumper at the end of its track. D à What is the force constant k of the spring in N/m? Grade St Deduction Potential sinO | cos() | tan() | | (1,171819 cotan0 asinacosO atanO acotanOsinh0 coshO tanhO cotanh0 Submissi Attempts per detailed . Degrees Radians 0 Submit Hint I give up Hints:-.., deduction per hint Hints remaining: Feedback: deduction per feedback

Explanation / Answer

initial kinetic energy of the train Ki = (1/2)*m*v^2

final kinetic energy Kf = 0

initial potential energy stored in spring Ui = 0

final potential energy stored in spring Uf = (1/2)*k*x^2

Ei = Ef

Ui + Ki = Uf + Kf

Uf = Ki

(1/2)*k*x^2 = (1/2)*m*v^2

k*0.51^2 = 5.6*10^5*0.55^2

spring constant K = 651288 N/m <<<<------ANSWER

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