Looks good? f = Gm1m2/R2

  • Thread starter bigman8424
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In summary, the equation "Looks good? f = Gm1m2/R2" is used to calculate the force of gravitational attraction between two objects with masses m1 and m2, separated by a distance R. Each variable in the equation represents a specific quantity, such as force, gravitational constant, mass, and distance. The equation is derived from Newton's law of universal gravitation and is measured in units of Newtons, m3/kg*s2, kilograms, and meters. It has various real-world applications, including predicting the motion of objects in space and in fields such as astrophysics and space exploration.
  • #1
bigman8424
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how does this look, fun prob., need help on the 2nd part:

wat is the force that a 60 kb girl has on a 75 kg man, when they are 50 cm apart:

f = GM1m2/R2 = F = (6.67e-11)(75)(60)/(.50)^2
= 1.2e-6 N

second part:
how fast will man accelerate towards girl??

same formala?
 
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  • #2
What's the relationship between the force and the acceleration (assuming constant mass) ?You'll see it's only a simple division.Oh,and that 60Kg girl is fat...:yuck:

Daniel.
 
  • #3


To calculate the acceleration, we need to use Newton's second law which states that F = ma, where F is the force, m is the mass, and a is the acceleration. So, using the same formula from before, we can solve for a by rearranging the equation to a = F/m. Plugging in the values from the first part, we get a = (1.2e-6 N)/(75 kg) = 1.6e-8 m/s^2. This means that the man will accelerate towards the girl at a rate of 1.6e-8 meters per second squared.
 

1. What is the equation "Looks good? f = Gm1m2/R2" used for?

The equation "Looks good? f = Gm1m2/R2" is used to calculate the force of gravitational attraction between two objects with masses m1 and m2, separated by a distance R.

2. What does each variable represent in the equation "Looks good? f = Gm1m2/R2"?

The variable f represents the force of gravitational attraction, G is the gravitational constant, m1 and m2 represent the masses of the two objects, and R is the distance between the two objects.

3. How is the equation "Looks good? f = Gm1m2/R2" derived?

The equation "Looks good? f = Gm1m2/R2" is derived from Newton's law of universal gravitation, which states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

4. What units are used for each variable in the equation "Looks good? f = Gm1m2/R2"?

The units for the force f are Newtons (N), the gravitational constant G is measured in units of m3/kg*s2, the masses m1 and m2 are measured in kilograms (kg), and the distance R is measured in meters (m).

5. How is the equation "Looks good? f = Gm1m2/R2" used in real-world applications?

The equation "Looks good? f = Gm1m2/R2" is used in various real-world applications, such as calculating the gravitational force between the Earth and other planets, determining the orbits of satellites around a planet, and predicting the motion of objects in space. It is also used in fields such as astrophysics, astronomy, and space exploration.

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