Problem 14: A 5.8x10^5 subway train is brought to a stop from a speed of 0.55m/s

Question

Problem 14: A 5.8x10^5 subway train is brought to a stop from a speed of 0.55m/s in 0.33m by a large spring bumper at the end of its track.

A) What is the force constant, k, of the spring in N/m?

Class i Help Homework 4 Begin Date: 6/24/2017 6:00:00 AM -- Due Date: 6/29/2017 11:59:00 PM End Date: 6/29/2017 11:59:00 PM (6%) Problem 14. A 5.8 x 105 kg subway train is brought to a stop from a speed of 0.55 m/s in 0.33 m by a large spring bumper at the end of its track What is the force constant k of the spring in N/m? Grade Summary Deductions Potential 0% 100% sin cosO cotan0 asin) acos0 Submissions Attempts remaining: 8 HOME 90 per attempt) detailed view atan0a acotans sinhO cosh0 tanh0 cotanh0 Degrees O Radians 0 END 0 DEL CLEAR Submit Hint I give up! Hints: 4% deduction per hint. Hints remaining: 2 Feedback: 5% deduction per feedback.

Explanation / Answer

let the spring constant is k

Using conservation of energy

0.50* m * v^2 = 0.50 * k * x^2

5.8 *10^5 * 0.55^2 = k * 0.33^2

solving for k

k = 1.611 *10^6 N/m

the spring constant is 1.611 *10^6 N/m

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