Compressed spring on the ceiling.

In summary, the conversation discusses a problem in which a box with a mass of 1.0 kg is attached to the ceiling by a spring with a spring constant of 112.0 N/m and a relaxed length of 28.0 cm. The box is initially compressed to half of its relaxed length and the question is asking at what distance below the ceiling the box will come to rest when released. The conversation also mentions using an equation given by the teacher, but the person attempting the problem did not have success in solving it.
  • #1
mistabry
12
0

Homework Statement


A box of mass M = 1.0 kg is attached to the ceiling by a spring with spring constant k = 112.0 N/m. The spring has a relaxed length L = 28.0 cm. Initially the spring is compressed to a length L/2. If the box is released, at what distance below the ceiling will the box first be brought to rest by the spring?


Homework Equations


I don't know if this is correct, but I attempted to use an equation given by my teacher for an object falling onto a spring, which is like opposite of this problem.
mgh = mgy2 + .5k(y2)2


The Attempt at a Solution


I used the equation but pretty much went to a dead end >.<
 
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  • #2
Show your calculations.
 

FAQ: Compressed spring on the ceiling.

What is a compressed spring on the ceiling?

A compressed spring on the ceiling is a spring that has been squeezed or compressed and attached to the ceiling. This allows for potential energy to be stored in the spring, which can be released to perform work.

How does a compressed spring on the ceiling work?

A compressed spring on the ceiling works by storing potential energy due to its compressed state. When the spring is released, the potential energy is converted into kinetic energy, causing the spring to expand and perform work.

What are some examples of how a compressed spring on the ceiling is used?

A compressed spring on the ceiling can be used in a variety of applications, such as in door hinges, shock absorbers, and toys. It can also be used in scientific experiments and demonstrations to show the conversion of potential energy into kinetic energy.

What factors affect the behavior of a compressed spring on the ceiling?

The behavior of a compressed spring on the ceiling is affected by factors such as the material and size of the spring, the amount of compression, and the force applied to the spring. These factors can affect the amount of potential energy stored and the resulting motion of the spring when released.

Is there a limit to how much a spring can be compressed on the ceiling?

Yes, there is a limit to how much a spring can be compressed on the ceiling. This limit is known as the spring's elastic limit and varies depending on the material of the spring. If the limit is exceeded, the spring may become permanently deformed and lose its ability to store and release potential energy.

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