Scientific reading and explanation
Define mechanical and total energy
Mechanical energy includes kinetic energy and the potential energies under study. With friction, drag or material deformation, the modeled mechanical energy may decrease, but energy does not disappear. A larger system ledger can include transferred thermal or internal energy, and total energy remains accounted for. The exact energy recipient depends on the real physical system.
Separate an ideal model from a dissipation parameter
In our digital drop model, the selected fraction f of released potential energy enters a nonmechanical account. In our digital spring model, the same parameter acts on released elastic energy. It does not purport to calculate actual drag coefficients, friction forces, damping rates, or temperatures. The ratio is user-prescribed to explore conservation, not observed.
Use energy bars with exact numbers
For m=2 kg, H=5 m, h=3 m, f=25%, the total initial gravitational energy is 98 J, the remaining gravitational energy is 58.8 J, kinetic energy is 29.4 J, and nonmechanical transferred energy is 9.8 J. Their sum remains 98 J. For k=200 N/m, x_0=20 cm, x=10 cm, f=25%, the total initial spring energy is 4 J, the remaining spring energy is 1 J, kinetic energy is 2.25 J, and nonmechanical transferred energy is 0.75 J.
Control variables and protect the evidence
Keep system settings fixed when comparing two transfer fractions. Export each lab's notebook so both the parameters and observations travel together. The labs are offline equation explorers and synthetic data, not tools for physical ramp experiments, loaded springs or real materials testing.