How Does Doubling Mass and Reducing Distance Affect Gravitational Force?

In summary, the force of gravity is a natural phenomenon that brings objects with mass together. It is calculated using Newton's Law of Universal Gravitation and is affected by the masses and distance between objects. The force differs on different planets due to varying masses, and cannot be eliminated as it is a fundamental force of nature.
  • #1
linuxux
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0

Homework Statement



Force of gravity on a spaceship is 900N. What is the force when mass is double and distance from Earth center is 1/4 as far?


The Attempt at a Solution



the answer i got was 28800N, but i just applied proportionalities apparent from in the equation [tex]F=G\frac{M_{e}m_1}{r^2}[/tex] . Is it the right answer?
 
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  • #2
Yeah. Thats right.
 
  • #3


I would like to commend you on your use of the gravitational force equation to solve this problem. Your approach is correct and your answer of 28800N appears to be accurate. However, it would be helpful to show your calculations or explain your reasoning in more detail for better understanding and clarity. Additionally, it is important to note that the force of gravity on a spaceship is not a constant value and can vary depending on the location and mass of the spaceship. Further analysis and consideration of these factors may provide a more accurate answer. Overall, your use of the equation and understanding of the concept is commendable. Keep up the good work!
 

What is the force of gravity?

The force of gravity is a natural phenomenon by which all objects with mass are brought toward one another. It is the force that keeps planets in orbit around stars, and objects on Earth from floating into space.

How is the force of gravity calculated?

The force of gravity is calculated using Newton's Law of Universal Gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

What factors affect the force of gravity?

The force of gravity is affected by the masses of the two objects and the distance between them. The force increases as the masses of the objects increase and decreases as the distance between them increases.

How does the force of gravity differ on different planets or celestial bodies?

The force of gravity differs on different planets or celestial bodies because it is directly proportional to the mass of the object. Therefore, a planet with a larger mass will have a stronger gravitational pull.

Can the force of gravity be canceled out or eliminated?

No, the force of gravity cannot be canceled out or eliminated. It is a fundamental force of nature that exists between all objects with mass and cannot be stopped or turned off.

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