// multi-utility computation suite · offline · instant · precise
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sci.gravitational-potential Calculator
Calculates gravitational potential energy U = −GMm/r and potential Φ = −GM/r at a distance from a massive body. Gravitational potential is always negative — it equals zero at infinite separation and becomes increasingly negative closer to the mass.
Inputs
Mass
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
R
Separation between two points or total path length. Check that units are consistent throughout the calculation.
Mass2
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
H
Vertical measurement. For health calculators, typically standing height without shoes.
Results
gravitational potential (J/kg)
The value at the specified point or condition.
potential energy (J)
Energy stored by position in a gravitational field: PE = mgh. Converts to kinetic energy as an object falls. At the top of a drop, energy is all potential; at the bottom, all kinetic (ignoring losses).
gravitational force (N)
The value at the specified point or condition.
escape velocity (km/s)
Reference formula or conversion factor shown for context.
g at this r (m/s^2)
The value at the specified point or condition.
Phi = -GM/r
pH of the solution. Below 7: acidic. 7: neutral. Above 7: basic (alkaline).