If an astronaut weighs 750 N on the ground, what will he weigh in earth orbit 400 km above the earth’s surface? R_earth = 6.38 × 10^6 m,
m_earth=5.97×10^24 kg
G=6.674×10^−11 Nm^2/kg^2

Answers

Answer 1
Answer:

Answer:

The weight of the astronaut in Earth's orbit 400 km above the Earth's surface is 664.115 N

Explanation:

The given parameters are;

The weight of the astronaut on the ground = 750 N

The height of the orbit above the Earths surface = 400 km

The radius of the Earth = 6.38 × 10⁶ m

The mass of the Earth = 5.97 × 10²⁴ kg

The universal gravitational constant G = 6.674 × 10⁻¹¹ Nm²/kg²

From Newton's law of universal gravitation, we have;

Weight \ on \ ground \ of \ astronaut \ F_W =G* (M_(Earth) * m_(astronouat))/(R_(Earth)^(2)) = 750 \ N

F_W =6.674 * 10^(-11)* (5.97 * 10^(24)* m_(astronouat))/((6.38 * 10^6)^(2)) = 750 \ N

m_(astronaut) = ((6.38 × 10⁶)² × 750)/((6.674 × 10⁻¹¹) × (5.97 × 10²⁴)) ≈ 76.62 kg

The mass of the astronaut ≈ 76.62 kg

For the weight of the astronaut  in Earth orbit 400 km (400 × 10³ m) above the Earth's surface, we have;

F_(W \ in \ orbit) =6.674 * 10^(-11)* (5.97 * 10^(24)* 76.62)/((6.38 * 10^6 + 400 * 10^3)^(2) ) = 664.115 \ N

The weight of the astronaut in Earth's orbit 400 km above the Earth's surface = 664.115 N.


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Answer:

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Answers

Answer:

True

Explanation:

So, if your mass on Earth is 45 kg on Earth, your mass will also be 45 kg on the moon. The reason behind this is because the amount of matter you're made of doesn't change if you're on the moon or on the Earth. The weight of an astronaut and his space suit on the Moon is only 250 N.

Final answer:

False. The weight of an astronaut plus her space suit on the moon is not only 255 N. The weight of an object on the moon is about one-sixth of its weight on Earth.

Explanation:

False. The weight of an astronaut plus her space suit on the moon is not only 255 N. The weight of an object is determined by the force of gravity acting on it. The moon's gravity is about one-sixth that of Earth's, so the weight of an object on the moon is about one-sixth of its weight on Earth. If the weight of an astronaut plus her space suit on Earth is known to be 255 N, then her weight on the moon would be approximately 42.5 N.

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Answers

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Answers

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Answers

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Answer:

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