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Newton's Laws Calculator

Newton's second law (F = m·a) and universal gravitation (F = G·m₁·m₂/r²). Enter any two (or three) values and solve the rest instantly.

Enter any two of force, mass and acceleration to solve the third.
Enter any two of force, mass and acceleration — the third is calculated automatically.

Formula

Force: F = m × a
Mass: m = F ÷ a
Acceleration: a = F ÷ m
Two modes: (1) Newton's second law F = m·a — type any two of force (N/kN/dyn/lbf), mass (kg/g/t/lb) or acceleration (m/s², cm/s², g) and solve the third. (2) Universal gravitation F = G·m₁·m₂/r² with G = 6.674×10⁻¹¹ N·m²/kg² — type any three of m₁, m₂, distance or force to solve the fourth; masses can be in Earth or Solar masses and distance in AU for astronomical problems. Everything runs locally in your browser; nothing is uploaded.