How Does Mass and Distance Affect Gravitational Force?

In summary, using Newton's law of universal gravitation, we can calculate the force of gravity acting on an object of mass 40.0 kg resting on the surface of a planet with a mass of 8.2 x 1022 kg and radius 3.6 x 105 m. By plugging in the given values, we can determine the gravitational field strength at the planet's surface and calculate the force of gravity acting on the object if it is placed at a position 6.4 x 105 m above the planet's surface. The value for G is 6.673 × 10-11 N and the formula for g is g=\frac{GM}{r^{2}}.
  • #1
cash.money
14
0

Homework Statement


An object of mass 40.0 kg rests on the surface of a planet with a mass of 8.2 x 1022 kg and radius 3.6 x 105 m.


a) calculate the force of gravity acting on the object.
b) Determine the gravitational field strength "g" at the planet surface.
c) Calculate the force of gravity acting on the object if it is placed at a position 6.4 x 105 m above the planet's surface.



Homework Equations



Newton's law of universal gravitation:

F=G m1m2/r2
 
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  • #2
You can answer (1) and (3) right? You've written the correct formula, you just need to make sure for (3) you add the radius of the planet to the height the object is above the planet.

And you know [tex]F=ma[/tex], or in this case, [tex]F=mg[/tex]... so there should be (2)
 
  • #3
plug in your #'s for (a) to get F, set that equal to mg for (b), where g is what ur tryin to find. (c) is just # crunching with a different radius
 
  • #4
ken~flo said:
plug in your #'s for (a) to get F

But what is G supposed to equal. Is it G = 6.673 × 10-11 N

ken~flo said:
(c) is just # crunching with a different radius

and by crunching you mean replace the old radius with the new one right?
 
  • #5
cash.money said:

Homework Statement


An object of mass 40.0 kg rests on the surface of a planet with a mass of 8.2 x 1022 kg and radius 3.6 x 105 m.


a) calculate the force of gravity acting on the object.
b) Determine the gravitational field strength "g" at the planet surface.
c) Calculate the force of gravity acting on the object if it is placed at a position 6.4 x 105 m above the planet's surface.



2. Homework Equations

Newton's law of universal gravitation:

F=G m1m2/r2

You will also need

[tex]g=\frac{GM}{r^{2}}[/tex]
 
  • #6
Stratosphere said:
You will also need

[tex]g=\frac{GM}{r^{2}}[/tex]

That's not a unique formula. That's just combining the expression given for F with F=ma.
 
  • #7
yeah, you have the right value for G. and for c, you're right, all you do is plug in the new radius
 

Related to How Does Mass and Distance Affect Gravitational Force?

1. What is gravity?

Gravity is a fundamental force of nature that causes objects with mass to attract each other. It is responsible for the motion of planets, stars, and other celestial bodies.

2. Who discovered gravity?

The concept of gravity was first described by Sir Isaac Newton in his famous law of universal gravitation in the 17th century. However, ancient civilizations like the Greeks and Egyptians also had an understanding of gravity.

3. How does gravity affect us?

Gravity affects us in many ways. It keeps us grounded on the Earth, allows us to walk and jump, and also plays a role in the formation of tides and ocean currents. It also determines the orbits of planets and other celestial bodies in our solar system.

4. Is gravity the same everywhere?

Yes, gravity is a universal force and is the same everywhere in the universe. However, the strength of gravity can vary depending on the mass and distance between objects.

5. Can we manipulate or control gravity?

Currently, we do not have the technology to manipulate or control gravity. However, scientists are continuously researching and studying ways to harness this force for space travel and other applications.

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