Gravitational field strength formula

In summary, the formula for gravitational field strength is F = GmM/r^2, where F is the force of gravity, G is the universal gravitational constant, m and M are the masses of the two objects, and r is the distance between the two objects. To calculate the gravitational field strength, simply plug in the values for each variable and solve for F. The unit of measurement for gravitational field strength is newtons per kilogram (N/kg) or meters per second squared (m/s^2). The gravitational field strength is inversely proportional to the square of the distance between two objects, meaning that as the distance increases, the strength decreases. On the other hand, the gravitational field strength is directly proportional to the mass of
  • #1
g33n13
3
0
Q: "The Earths radius is 6700km. Show that the magnitude of the gravitational field strength at a height of 350km above the Earth's surface is about 9 N/kg"

I got the mass of the Earth which is 5.98E 24
G the constant = 6.67E -11

Formula : g= GM/r² , i can't seem to get 9, am I supposed to use the 350km??
 
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  • #2
Yeah, at a distance R away, the gravitational force is

[tex] mg = \frac{GMm}{r^2} [/tex]

Your distance R is 350km above the Earth's surface .
 
  • #3
Make sure your 350km is in metres!
 

Related to Gravitational field strength formula

1. What is the formula for gravitational field strength?

The formula for gravitational field strength is F = GmM/r^2, where F is the force of gravity, G is the universal gravitational constant, m and M are the masses of the two objects, and r is the distance between the two objects.

2. How do you calculate the gravitational field strength?

To calculate the gravitational field strength, you can use the formula F = GmM/r^2, where F is the force of gravity, G is the universal gravitational constant, m and M are the masses of the two objects, and r is the distance between the two objects. Simply plug in the values for each variable and solve for F.

3. What is the unit of measurement for gravitational field strength?

The unit of measurement for gravitational field strength is newtons per kilogram (N/kg) or meters per second squared (m/s^2).

4. How does the distance between two objects affect the gravitational field strength?

The gravitational field strength is inversely proportional to the square of the distance between two objects. This means that as the distance between two objects increases, the gravitational field strength decreases. In other words, the farther apart two objects are, the weaker the force of gravity between them.

5. How does the mass of an object affect the gravitational field strength?

The gravitational field strength is directly proportional to the mass of an object. This means that as the mass of an object increases, the gravitational field strength also increases. In other words, the more massive an object is, the stronger its gravitational pull will be.

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