Gravitational field of a hemisphere

In summary, the gravitational field is a region in space where a mass experiences a force due to the presence of another mass. The gravitational field of a hemisphere is calculated using the equation g = G(M/R^2), where g is the gravitational field, G is the universal gravitational constant, M is the mass of the hemisphere, and R is the distance from the center of the hemisphere to the point where the gravitational field is being measured. The strength of the gravitational field of a hemisphere is affected by the mass of the hemisphere, the distance from the center of the hemisphere, and the universal gravitational constant. The gravitational field of a hemisphere is half of the gravitational field of a full sphere, and understanding it has various real-life applications in fields such
  • #1
brotherbobby
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Please see the attached file if I have calculated the gravitational field g at the centre of a hemisphere correctly.

hemisphere.png
 
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  • #2
That's correct.
 
Last edited:

1. What is the definition of gravitational field?

The gravitational field is a region in space where a mass experiences a force due to the presence of another mass.

2. How is the gravitational field of a hemisphere calculated?

The gravitational field of a hemisphere is calculated by using the equation g = G(M/R2), where g is the gravitational field, G is the universal gravitational constant, M is the mass of the hemisphere, and R is the distance from the center of the hemisphere to the point where the gravitational field is being measured.

3. What factors affect the strength of the gravitational field of a hemisphere?

The strength of the gravitational field of a hemisphere is affected by the mass of the hemisphere, the distance from the center of the hemisphere, and the universal gravitational constant.

4. How does the gravitational field of a hemisphere compare to that of a full sphere?

The gravitational field of a hemisphere is half of the gravitational field of a full sphere, as the mass of a hemisphere is half of the mass of a full sphere.

5. What are some real-life applications of understanding the gravitational field of a hemisphere?

Understanding the gravitational field of a hemisphere is important in fields such as astronomy, where the gravitational field of planets and moons can be calculated. It also has applications in engineering and space travel, as the gravitational field of a hemisphere can be used to determine the necessary force and fuel needed to escape its pull.

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