Final answer:
To find the acceleration due to gravity on planet A, we can use the equation for gravitational acceleration. Planet A has half the mass of Earth and is 3 times its radius. The acceleration due to gravity on planet A is approximately 0.183 m/s².
Step-by-step explanation:
To find the acceleration due to gravity on planet A, we can use the equation for gravitational acceleration:
g = G * (M/r^2)
Where:
- g is the acceleration due to gravity
- G is the universal gravitational constant
- M is the mass of the planet
- r is the radius of the planet
Since planet A has half the mass of Earth and is 3 times its radius, we can substitute these values into the equation:
gA = G * ((1/2) * MEarth)/(3 * REarth)^2
where MEarth and REarth are the mass and radius of Earth, respectively.
We know that the acceleration due to gravity on Earth is approximately 9.8 m/s². Plugging in this value and the known constants, we can solve for the acceleration due to gravity on planet A:
gA = 9.8 * (1/2)/(3^2)
gA ≈ 0.183 m/s²