Final answer:
The mass of the astronaut on Earth is approximately 100 kg.
Step-by-step explanation:
The weight of an object is the force exerted on it due to gravity, while the mass of an object is a measure of the amount of matter it contains. Weight and mass are related to each other by the equation:
Weight = mass x acceleration due to gravity
To find the mass of the astronaut on Earth, we can use the weight and the acceleration due to gravity:
Weight (Earth) = mass x acceleration due to gravity (Earth)
We know the weight of the astronaut on Earth is 981 N and the acceleration due to gravity on Earth is approximately 9.8 m/s². Substituting these values into the equation, we can solve for the mass:
981 N = mass x 9.8 m/s²
mass = 981 N ÷ 9.8 m/s²
mass ≈ 100 kg
Therefore, the mass of the astronaut on Earth is approximately 100 kg.