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I am looking for devices, like springs, bows, that convert the elastic energy to kinetic energy.

I also would like to know how they work, with physical equations.

2006-09-08 06:11:46 · 4 answers · asked by averroes 3 in Science & Mathematics Physics

I want physical equations and explanation please..

2006-09-08 06:22:03 · update #1

4 answers

In the ideal state (no friction) energy is completely conserved. Most elastic devices can be modeled by a Hooke's Law spring where the Force=k*x, where x is displacement and k is the spring constant. Since Energy is force integrated over a distance, E=1/2*k*x^2 (x squared). This is the total potential energy stored in the spring/elastic device. When a spring with that much energy is completely released, all the potential energy is converted into kinetic energy. The spring acts on a mass, so it uses Newton's law, F=ma. Integrating that over distance gives E=1/2mv^2 (velocity squared). Now you can set them equal and solve for the velocity.

E(spring)=E(kinetic)
1/2kx^2 = 1/2mv^2
v = sqrt(kx^2/m)

Hope this helps!

2006-09-08 06:22:14 · answer #1 · answered by bordag 3 · 3 0

Hi. Those wind up airplanes. Catapults. A released balloon.

2006-09-08 13:13:55 · answer #2 · answered by Cirric 7 · 0 0

Sling shot.

2006-09-08 13:16:43 · answer #3 · answered by Anonymous · 0 0

eissh walaaa, fayaad you're cheating your way through in STEPS? ill tell the board about you...:P

2006-09-12 05:46:15 · answer #4 · answered by Yahoo! User 2 · 0 0

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