Acceleration due to gravity homework

In summary, acceleration due to gravity is the rate at which an object falls towards the Earth due to the gravitational pull. It is calculated by dividing the force of gravity on an object by its mass, and is affected by the mass and distance between two objects. It is a specific type of acceleration that only applies to objects falling towards the Earth, while acceleration is a more general term. The acceleration due to gravity varies on different planets depending on their mass and size.
  • #1
queen of hearts
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what is the acceleration due to gravity at a distance of one Earth radius above Earth's surface?
 
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  • #2
Use the expression for the gravitational force, then equate that force to [tex]ma[/tex], there being an m in your expression for the gravitational force, the "m"s would divide out.
 
  • #3


The acceleration due to gravity at a distance of one Earth radius above Earth's surface is approximately 9.8 m/s². This is because the acceleration due to gravity is inversely proportional to the square of the distance between two objects. As the distance increases, the gravitational force between the objects decreases, resulting in a decrease in acceleration due to gravity. At a distance of one Earth radius, the gravitational force between the object and Earth is still strong enough to result in a significant acceleration due to gravity. However, it is important to note that the value of acceleration due to gravity can vary slightly at different points on Earth's surface due to factors such as altitude and topography.
 

What is acceleration due to gravity?

Acceleration due to gravity is the rate at which an object falls towards the Earth due to the gravitational pull. It is represented by the symbol "g" and has a constant value of 9.8 meters per second squared.

How is acceleration due to gravity calculated?

The acceleration due to gravity can be calculated by dividing the force of gravity on an object by its mass. The formula is:
g = F/m, where g is the acceleration due to gravity, F is the force of gravity, and m is the mass of the object.

What factors affect the acceleration due to gravity?

The acceleration due to gravity is affected by the mass and distance between two objects. The greater the mass of an object or the closer the distance between two objects, the stronger the gravitational force and thus, the greater the acceleration due to gravity.

What is the difference between acceleration due to gravity and acceleration?

Acceleration due to gravity is a specific type of acceleration that is caused by the gravitational force. It only applies to objects falling towards the Earth. On the other hand, acceleration is a more general term that refers to the change in velocity of an object over time, regardless of the cause.

How does acceleration due to gravity vary on different planets?

The acceleration due to gravity varies on different planets depending on their mass and size. For example, the acceleration due to gravity on Earth is 9.8 m/s², while on Mars it is only 3.7 m/s². This means that objects will fall faster towards the surface of Earth compared to Mars due to the stronger gravitational force.

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