What is the stretch of the spring holding a wedged board?

In summary, a board wedged with a spring is a simple device used to demonstrate energy storage and release. It consists of a wooden board with a spring and a wedge attached to opposite ends. When the wedge is pushed into the spring, potential energy is stored. When released, the potential energy is converted into kinetic energy, causing the spring and wedge to move back and forth until all the energy is released. This device is primarily used for educational purposes, but can also be used as a toy or in engineering projects. It cannot be used as a reliable source of energy due to its limited energy output.
  • #1
candyq27
71
0

Homework Statement


A 11.5 kg board is wedged into a corner and held by a spring at a 50.0° angle, as the drawing shows. The spring has a spring constant of 206 N/m and is parallel to the floor. Find the amount by which the spring is stretched from its unstrained length.

Homework Equations



F=-kx

The Attempt at a Solution



I tried doing sin50(11.5kg)/-206 but that didn't work
 
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  • #2
Can you post the drawing?
 
  • #3
I tried but it didnt work. I'm not sure how to do it.
 

Related to What is the stretch of the spring holding a wedged board?

What is a board wedged with a spring?

A board wedged with a spring is a simple device used to demonstrate the principles of energy storage and release. It consists of a wooden board with a spring attached to one end and a wedge attached to the other end.

How does a board wedged with a spring work?

When the wedge is pushed into the spring, the spring compresses and stores potential energy. When the wedge is released, the potential energy is converted into kinetic energy and the spring and wedge move apart. This motion continues back and forth until all the potential energy is released.

What is the purpose of a board wedged with a spring?

A board wedged with a spring is primarily used as a teaching tool to demonstrate concepts related to energy and motion. It can also be used as a simple toy or desk gadget for entertainment purposes.

What are some applications of a board wedged with a spring?

A board wedged with a spring can be used in various science demonstrations, such as to show the principles of potential and kinetic energy, simple harmonic motion, and elastic potential energy. It can also be used in engineering or design projects to study the behavior of springs and their applications in different mechanisms.

Can a board wedged with a spring be used as a source of energy?

No, a board wedged with a spring is not a reliable source of energy. While it can store potential energy, the amount of energy it can release is limited and not enough to power any significant devices. It is primarily used for educational and entertainment purposes.

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