PROBLEM -> Amount of Extension of Spring

In summary, the problem involves determining the amount by which a spring is compressed when a coaster, with a speed of 7 m/s at point A, is brought to a stop after travelling a total distance of 750 m. The coaster stops at 2 m from the ground and has a friction force of 500 N. The spring has a constant of 18400 N/m.
  • #1
Any help on this would be greatly appreciated.

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In order to go stop the coaster at the end of its course, a spring has been installed. When the coaster stops, it stands at 2 m from the ground. If the total distance of the ride is 750 m, the friction is 500 N as before, the spring constant of the spring is 18400 N/m, and the coaster has a speed of 7 m/s at point A, find the amount (extension of spring) by which the spring is compressed when the coaster is brought to a stop.
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I need some hints on how to go about this problem... thanks
 
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  • #2
Leaving out some things aren't you?

"When the coaster stops, it stands at 2 m from the ground."

?? Is the coaster going down? Are we to include gravitational force? Or are just assume the speed was 7 m/s when it hit the final level? Exactly where is point A? Apparently you have a picture that we can't see. "the friction is 500 N as before"- "as before"? What there a previous problem, including information you are not giving us here?
 
  • #3
HallsofIvy said:
Leaving out some things aren't you?

"When the coaster stops, it stands at 2 m from the ground."

?? Is the coaster going down? Are we to include gravitational force? Or are just assume the speed was 7 m/s when it hit the final level? Exactly where is point A? Apparently you have a picture that we can't see. "the friction is 500 N as before"- "as before"? What there a previous problem, including information you are not giving us here?

Sorry you're right man. My sincere apologies. Here is a diagram:
 

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  • #4
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1. How does the amount of weight affect the extension of a spring?

The amount of weight or force applied to a spring will directly affect the amount of extension. The more weight that is added, the greater the extension of the spring will be.

2. What factors influence the amount of extension of a spring?

The amount of extension of a spring is influenced by several factors, including the stiffness of the spring, the material it is made of, and the amount of weight or force applied.

3. Is there a limit to the amount of extension a spring can have?

Yes, there is a limit to the amount of extension a spring can have. This limit is known as the spring's elastic limit, which is the point at which the spring will permanently deform or break.

4. Can the amount of extension of a spring be accurately measured?

Yes, the amount of extension of a spring can be accurately measured using a ruler or measuring tape. The extension can be calculated by measuring the difference in length between the spring when it is at rest and when it is under tension.

5. How can the amount of extension of a spring be used in scientific experiments?

The amount of extension of a spring can be used in various experiments, such as testing the strength or elasticity of different materials, measuring the force of gravity, and determining the relationship between weight and extension. It is a useful tool in many fields of science, including physics, engineering, and material sciences.

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