Gravitational Spheres Equilibrium Simulation

Gravitational Spheres Equilibrium

Simulation of gravitational forces and potential between two massive spheres with analysis of equilibrium conditions

50 kg 500 kg
0.5 m 2.0 m

Physics Measurements

Net Force at Midpoint: 0 N
Gravitational Potential: -2.7 × 10⁻⁸ J/kg
Equilibrium Type: Unstable
Individual Force Magnitude: 2.67 × 10⁻⁷ N

Physics Explanation

At the midpoint between two equal masses:

Fnet = F1 + F2 = 0 (equal and opposite forces)

The gravitational potential V at the midpoint is the sum of potentials from both spheres:

V = -GM/r₁ - GM/r₂ = -2GM/(d/2) = -4GM/d

This configuration represents an unstable equilibrium because any displacement from the midpoint results in a net force toward one of the spheres.

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