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Question about Gravitation: Gravitational Acceleration

Physics

Originais Teachy

Gravitation: Gravitational Acceleration

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(Originais Teachy 2023) - Question Medium of Physics

An astronaut is on a space mission in an equatorial orbit around an exoplanet. This exoplanet has a radius twice that of Earth and a mass that is eight times the mass of Earth. The acceleration due to gravity on Earth's surface is 9.8 m/s². Considering Newton's Universal Law of Gravitation, which describes the force of attraction between two masses due to gravity, and that gravitational acceleration can be calculated by the formula a = G * (M / r^2), where G is the gravitational constant, M is the planet's mass, and r is the planet's radius, calculate the gravitational acceleration at the equatorial orbit of this exoplanet. Then, discuss the impact that a higher or lower gravitational acceleration would have on the conditions necessary to maintain a stable orbit around this planet, considering both the Physics perspective and the implications for satellite and spacecraft engineering.

Answer sheet:

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