Physics

Acceleration due to Gravity Calculator

Find surface gravity from a body's mass and radius.

Mass

Radius

Calculated Output

Surface gravity (m/s²) 9.82

Relative to Earth 1.001

Formula: g = G·M ÷ r²

Step-by-Step Breakdown

1. Values used:

2. Mass = 5.972e+24

3. Radius = 6,371,000

5. Surface gravity = 9.82m/s²

6. Relative to Earth = 1.001

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The math behind it

g = G·M ÷ r². Earth's values give about 9.82 m/s².

Earth's mass and radius → about 9.82 m/s² (1 g).

Why is the Moon's gravity weaker?

It has far less mass, despite its smaller radius.