Mechanics
Surface Gravity
Gravitational acceleration at the surface of a spherical body.
Variables
gm/s²
Surface gravity
Gravitational acceleration at surface
GN·m²/kg²
Gravitational constant
6.674×10⁻¹¹
Mkg
Mass
Mass of planet/body
Rm
Radius
Radius of planet/body
Derivation
From g = GM/r², evaluated at r = R (surface).
Your notes
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Common questions
What is the Surface Gravity formula?
Surface Gravity is written g = GM/R². Gravitational acceleration at the surface of a spherical body. It belongs to Mechanics, under Gravitation.
What are the units in g = GM/R²?
In SI units, g is surface gravity, measured in m/s²; G is gravitational constant, measured in m³/(kg·s²); M is mass, measured in kg; R is radius, measured in m.
How is the Surface Gravity formula derived?
From g = GM/r², evaluated at r = R (surface). The result is g = GM/R².
