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Q72 There is a minecart in a mine that is 5900 kg. The minecart reaches the end of the track and slams into a spring stopper. The minecart was traveling 1.7 meters/second. The spring stopper gets compressed by 0.08 meters. In this problem assume that there is no damping. Determine the value of k k =___ ___N/m Here is a hint: Solve the differential equation while keeping 'k' as an unknown. The spring's compression corresponds to the maximum displacement. It is convenient to assume that the displacement is zero when the minecart is just touching the spring stopper. How much does the spring compress when a 7700 kg minecart collides with it at the same speed as before?write your answer in the blank below: ________m

Q72 There is a minecart in a mine that is 5900 kg. The minecart reaches the end of the track and slams into a spring stopper. The minecart was traveling 1.7 meters/second. The spring stopper gets compressed by 0.08 meters. In this problem assume that there is no damping. Determine the value of k k =___ ___N/m Here is a hint: Solve the differential equation while keeping 'k' as an unknown. The spring's compression corresponds to the maximum displacement. It is convenient to assume that the displacement is zero when the minecart is just touching the spring stopper. How much does the spring compress when a 7700 kg minecart collides with it at the same speed as before?write your answer in the blank below: ________m

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q72 There is a minecart in a mine that is 5900 kg. The minecart reaches the end of the track and slams into a spring stopper. The minecart was traveling 1.7 meters/second. The spring stopper gets compressed by 0.08 meters. In this problem assume that there is no damping. Determine the value of k k =__ __N/m Here is a hint: Solve the differential equation while keeping 'k' as an unknown. The spring's compression corresponds to the maximum displacement. It is convenient to assume that the displacement is zero when the minecart is just touching the spring stopper. How much does the spring compress when a 7700 kg minecart collides with it at the same speed as before?write your answer in the blank below: __m If the spring would break if it compresses beyond 0.19 meters, what is the maximum mass of a minecart that can collide with it at a speed of 1.7 meters per second?write your answer in the blank below: _kg What would be the minecart's maximum mass that could collide with the spring stopper at a speed of 3.4m/s without breaking it?write your answer in the blank below: _kg
Transcribed Image Text:Q72 There is a minecart in a mine that is 5900 kg. The minecart reaches the end of the track and slams into a spring stopper. The minecart was traveling 1.7 meters/second. The spring stopper gets compressed by 0.08 meters. In this problem assume that there is no damping. Determine the value of k k =__ __N/m Here is a hint: Solve the differential equation while keeping 'k' as an unknown. The spring's compression corresponds to the maximum displacement. It is convenient to assume that the displacement is zero when the minecart is just touching the spring stopper. How much does the spring compress when a 7700 kg minecart collides with it at the same speed as before?write your answer in the blank below: __m If the spring would break if it compresses beyond 0.19 meters, what is the maximum mass of a minecart that can collide with it at a speed of 1.7 meters per second?write your answer in the blank below: _kg What would be the minecart's maximum mass that could collide with the spring stopper at a speed of 3.4m/s without breaking it?write your answer in the blank below: _kg
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