A hypothetical planet has a mass of half that of the Earth and approximately the same radius. What is the acceleration due to gravity on the planet in terms of the acceleration on the Earth?

g/2

Explanation:

Acceleration due to gravity at the surface of a planet is:

g = GM / r²

where G is the universal gravitational constant,

M is the mass of the planet,

r is the radius of the planet.

If a planet has half the mass and the same radius, then:

a = G (M/2) / r²

a = g/2

The acceleration due to gravity on the planet is half the acceleration on Earth.