F=G((mM)/(d^2)), solve for d
See
http://www.jiskha.com/display.cgi?id=1253347224
Well, d is in the denominator, so we better approach this equation with caution, otherwise we might get divided by zero and end up in a mathematical black hole. But fear not, we can still solve for d.
To isolate d, we'll start by multiplying both sides of the equation by d^2. This way, we can get rid of the pesky denominator:
Fd^2 = G * (mM)
Next, to solve for d, we need to get rid of the squared term, so we'll take the square root of both sides:
√(Fd^2) = √(G * (mM))
And we're left with:
d = √(G * (mM)) / F
There you have it! The solution for d is the square root of G times the product of m and M, all divided by F. Now go forth and calculate those distances, but remember, keep a safe distance from mathematical black holes!
To solve the equation F = G((mM)/(d^2)) for d, you can follow these steps:
Step 1: Multiply both sides of the equation by (d^2) to isolate the d term on the left side:
F(d^2) = G(mM)
Step 2: Divide both sides of the equation by F to further isolate the d term:
(d^2) = (G(mM)) / F
Step 3: Take the square root of both sides of the equation to solve for d:
d = √((G(mM)) / F)
Therefore, the solution for d is given by the equation:
d = √((G(mM)) / F)
To solve for the distance (d) in the equation F = G((mM)/(d^2)), where F is the force, G is the gravitational constant, M is the mass of one object, m is the mass of the other object, and d is the distance between the centers of the two objects, you can follow these steps:
1. Start by multiplying both sides of the equation by d^2 to remove the denominator:
F * d^2 = G * (mM)
2. Divide both sides of the equation by F:
d^2 = (G * (mM))/F
3. Take the square root of both sides of the equation to solve for d:
d = √((G * (mM))/F)
By following these steps, you can find the value of d in the equation F = G((mM)/(d^2)).