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34 votes
If an astronaut weighs 981 N on Earth and only 160 N on the

Moon, then what is his mass on Earth?

User Logan Kitchen
by
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1 Answer

11 votes
11 votes

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.

User Honmaple
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