Final answer:
The acceleration due to gravity on planet X, where a 70 kg astronaut weighs 560 N, is calculated to be 8 m/s².
Step-by-step explanation:
To find the acceleration due to gravity on planet X where a 70 kilogram astronaut has a weight of 560 newtons, we use Newton's second law which relates force, mass, and acceleration (F = ma). The weight of an object, which is the force due to gravity, is equal to the mass of the object multiplied by the acceleration due to gravity (g).
In formula form, this is:
Weight (W) = mass (m) × acceleration due to gravity (g)
Therefore, to solve for the acceleration due to gravity (g), we rearrange the formula:
g = W / m
Plugging in the given values:
g = 560 N / 70 kg
After calculation, we find:
g = 8 m/s²
Therefore, the acceleration due to gravity on planet X is 8 meters per second squared (m/s²).