So after putting in some research effort into the math, it seems like this should be possible under the right criteria.
Say I have a spring with a mass of 1500kg and a spring constant of 100N/cm and a total length of 30cm.
Given the formula:
F = -kx
I think that if I want to compress my spring 15cm it will have 1500N of potential energy.
With this understanding I move on to calculating the minimum mass required to negate this force with the formula:
F = ma
To get the mass, I divide the force exerted by the compressed spring of 1500N by a desired acceleration, let’s say 3cm/s. Which gives me a mass of 500kg.
This is where I get stuck, but I believe the next step is to convert the mass into Newtons by multiplying by 9.8 which gives me 4900N.
I believe I may be going about this the wrong way, so can someone help me by explaining the following:
- Is it possible to compress a spring to half of its length without moving it?
- If so, how do I show that mathematically?
- If not, how do I show that mathematically?
To clarify “without moving it”, let’s say that a constant force equivalent to or less than a 3000kg vehicle traveling at 200km/h coming to a dead stop by impacting an obstacle wouldn’t be able to physically move the spring through space. The spring would simply compress. Think of it like trying to move a heavy boulder by pushing on it with your bare hands, it seems like you can’t because you can’t exert enough force to move it.