What is the force of gravity at different distances from the center of Earth?

In summary, the conversation is discussing how to calculate the force of gravity on a person at different distances from the center of the Earth. The equation F=G* mass1*mass2/distance^2 is used, with G being the universal gravitational constant and the masses and distance being measured in kilograms and meters, respectively. The force at one Earth radius is given as 750N, and the question asks for the relation between forces when the distance is varied but the masses remain constant.
  • #1
soulja101
61
0

Homework Statement


The force of gravity experienced by a person on Earth is 750N. What is the force of gravity on the same person aat each of the following distances, in multiples of the Earth's radius from the centre of earth?


Homework Equations



FG=mg

The Attempt at a Solution


The answers are A)3 B)10 C)22
750N/9.8N/kg
=76.53
 
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  • #2
If you want to find the force of gravity at different distances use the equation-
F=G* mass1*mass2/distance^2

G=gravitational constant or 6.67*10^-11
masses in kilograms
distance in meters
the final force in Newtons
 
  • #3
hover said:
If you want to find the force of gravity at different distances use the equation-
F=G* mass1*mass2/distance^2

hover:
The universal gravitational constant is not needed to answer this question. (Besides, you didn't give the mass of the Earth.)

Soulja:
Using F=mg is not correct; hover's equation is correct.

You know the force at one Earth radius. Using [tex]F = \frac{G m_1 m_2}{r^2}[/tex], can you determine the relation between the forces if the masses remain constant but the distance is varied?
 
  • #4
sorry, my bad:blushing:
 
Last edited:
  • #5
Nothing to apologize about. You provided the governing equation.
 

What is force of gravity?

The force of gravity is a natural phenomenon that causes objects with mass to attract each other. It is one of the four fundamental forces of nature.

How does force of gravity work?

Force of gravity is a result of the mass of two objects and the distance between them. The larger the mass and the closer the distance, the stronger the force of gravity between the two objects.

What is the formula for calculating force of gravity?

The formula for calculating force of gravity is F = G * (m1 * m2) / d^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them.

How does force of gravity affect objects on Earth?

Force of gravity is what keeps objects on Earth from floating away into space. It also determines the weight of an object, as the force of gravity on an object is equal to its mass times the acceleration due to gravity.

Can force of gravity be changed or manipulated?

Force of gravity is a fundamental force of nature and cannot be changed or manipulated. However, its effects can be counteracted by other forces, such as lift or thrust, to allow objects to move against the force of gravity.

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