Acceleration due to gravity at earth's surface is 10 ms-2. The value of acceleration due to
gravity at the surface of a planet of mass 1/5th and radius 1/2 of the earth is
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F = GMm/r²
F = ma
⇒ GMm/r² = ma
⇒ g = GM/r²
M is divided by 5
R is divided by 2
⇒ g = GM/ 5 × (r/2)² = GM/ 5 × r²/4 = GM × 4/r² × 5 = (GM/r²) × 4/5
So, g is made 4/5 times on the planet
4/5 × 10 = 8 ms⁻²
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