Answer :
Final answer:
The weight of a 67-kg astronaut at the International Space Station's altitude, where the gravitational acceleration is about 88% of its surface value, is approximately 583.7 newtons (N).
Explanation:
To find the weight of a 67-kg astronaut at the International Space Station's altitude, where the gravitational acceleration is about 88% of its surface value, you can use the formula for weight:
Weight = mass x gravity
First, you need to calculate the effective gravity at the International Space Station (ISS). Given that it is approximately 88% of the Earth's surface gravity, you can express it as:
[tex]\[gravity_{ISS} = 0.88 \times 9.81\, m/s^2\][/tex]
Now, calculate the weight of the astronaut:
Weight = 67 kg x 0.88 x 9.81 m/s²
Calculate the product:
Weight = 583.656N
So, the weight of a 67-kg astronaut at the International Space Station's altitude, where the gravitational acceleration is about 88% of its surface value, is approximately 583.7 newtons (N).
It's important to note that weight is a force measured in newtons, and it depends on the mass of an object and the strength of the gravitational field it experiences. In this case, the astronaut's weight is less at the ISS altitude due to the lower gravitational acceleration compared to Earth's surface.
Learn more about gravitational acceleration here:
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Final answer:
The weight of a 67 kg astronaut at the International Space Station's altitude, where the gravitational acceleration is about 88% of its surface value, would be approximately 580 N (Newtons).
Explanation:
The weight of an object is the force of gravity acting on it. The force of gravity is calculated by the formula F = m*g, where F is the force (weight in this case), m is the mass, and g is the acceleration due to gravity. In this case, the astronaut has a mass m = 67 kg and the gravitational acceleration at the ISS is 0.88 * g (where g = 9.8 m/s^2, surface value of Earth). Thus, the astronaut's weight at the International Space Station's altitude can be calculated as : F = 67 kg * 0.88 * 9.8 m/s^2 = approximately 580 N (Newtons).
Learn more about Weight in Space here:
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