Acceleration

To determine the acceleration due to gravity on the surface of a planet, we use the formula , where is the gravitational constant, is the mass of the planet, and is its radius. For Earth, the gravity is given as 10 m/s². Let and be the mass and radius of Earth, respectively. On the new planet:

• The mass is of Earth, i.e., .
• The radius is of Earth, i.e., .

We substitute these into the formula for gravity: . Since , it follows that .