2 discs connected by spring, airborne?

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AI Thread Summary
The discussion revolves around the mechanics of two identical discs connected by a stiff spring and whether they can lift off the ground when compressed and released. The key equations involved include force, potential energy, and kinetic energy relationships. The proposed solution suggests that the height the discs can achieve is determined by the conversion of spring potential energy to gravitational potential energy. A critical point raised is whether all the spring's potential energy will convert into gravitational energy upon release. The outcome hinges on the efficiency of energy transfer in the system.
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Homework Statement


2 identical discs each mass m are connected to stiff spring with constant k. when you push down on the top disc and release, will the system be able to lift off ground. if so, how high?

Homework Equations


f=ma,f=kx,pe=mgh,pe=1/2kxsquared, ke=1/2mvsquared

The Attempt at a Solution


1/2kxsquared=mgh
h=1/2kxsquared/(mg)
 
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alindao said:
h=1/2kxsquared/(mg)
That assumes all the spring potential energy gets converted to gravitational energy. Will that happen?
 
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