/sci/ - Science & Math

>>11613635
[math] \text{d}(\ln A)=\text{d}A/A\ \implies\ u_{\ln A}=u_A/A [/math]
>>11613613
Sorta, yeah. Spring constants (k) are in units of force per distance, as in: "for every inch to compress this spring, I need k many pounds." Usually springs are assumed to be linear, making k constant (this assumption falls apart when you plastically deform them). To get exact accelerations and forces in a damped spring you solve an ODE. Yes, "slower" means less force overall.

>>11238921
All "energy" is an abstraction. But it still "exists" in the sense that it allows us to predict the evolution of a system. Potential energy is just as real as kinetic energy or thermal energy or energy stored in an electromagnetic field, etc.

>>11203235
I know you will do well~ Good luck anon