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Question bank: Gravitation: Bodies in Orbit

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Question 1:

Medium

The International Space Station (ISS) is constantly orbiting the Earth at an approximate altitude of 420 km above the Earth's surface. Knowing that the acceleration of gravity at the Earth's surface is approximately 9.8 m/s², calculate the acceleration of gravity experienced by the astronauts aboard the ISS. Consider the radius of the Earth as 6,371 km.
Gravitation: Bodies in Orbit
Question 2:

Medium

Imagine a satellite is in orbit around Earth in a circular path at a certain altitude. Gravity is the main force responsible for keeping the satellite in orbit. (a) Calculate the orbital velocity of the satellite, considering that the mass of Earth is approximately 5.97 x 10^24 kg, the radius of Earth is approximately 6,371 km, and the altitude of the satellite is 35,000 km above the Earth's surface. (b) Determine the orbital period of the satellite (the time it takes to complete one orbit around Earth). (c) Explain how velocity and gravitational force are related to allow the satellite to remain in orbit.
Gravitation: Bodies in Orbit
Question 3:

Easy

Gravitation: Bodies in Orbit
Question 4:

Medium

A spaceship, with a mass of 2,000 kg, enters stable orbit around Earth at an altitude of 500 km above the Earth's surface. Calculate the orbital speed of this spaceship.
Gravitation: Bodies in Orbit
Question 5:

Medium

Newton's Universal Law of Gravitation, proposed by Isaac Newton, is responsible for explaining various phenomena related to gravitational interactions between celestial bodies. According to this law, what is the relationship between the gravitational force exerted between two bodies and the distance between them?
Gravitation: Bodies in Orbit
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