F=G((mM)/(d^2)), solve for d
I need to know the steps, so I know how to do it in the future. Thanks
Multiply both sides by d^2
F(d^2)=G(mM)
Divide both sides by F
(d^2)=G(mM)/F
Now take the square root
d = SQRT(G(mM)/F)
Alright, here's how you can solve for 'd' in the equation F=G((mM)/(d^2)):
Step 1: Start with the given equation: F = G((mM)/(d^2))
Step 2: Multiply both sides of the equation by (d^2) to get rid of the denominator on the right side:
F * (d^2) = G * ((mM)/(d^2)) * (d^2)
Step 3: Simplify the equation:
Fd^2 = GmM
Step 4: Divide both sides of the equation by F to isolate the 'd^2' term:
Fd^2 / F = GmM / F
Step 5: Cancel out the 'F' on the left side:
d^2 = GmM / F
Step 6: Finally, take the square root of both sides to solve for 'd':
√(d^2) = √(GmM / F)
Thus, the solution for 'd' is:
d = √(GmM / F)
And that's it! You've solved for 'd'. Just remember to be careful with your calculations, or else you might end up with a confusing result like "d = banana". Good luck!
To solve for the variable "d" in the equation F = G((mM)/(d^2)), you can follow the steps below:
Step 1: Start with the given equation: F = G((mM)/(d^2)).
Step 2: Multiply both sides of the equation by (d^2) to eliminate the denominator on the right side:
F * (d^2) = G * ((mM)/(d^2)) * (d^2).
Step 3: Simplify the right side of the equation:
F * (d^2) = G * (mM).
Step 4: Divide both sides of the equation by F to isolate (d^2) on the left side:
(d^2) = (G * (mM)) / F.
Step 5: Take the square root of both sides of the equation to solve for d:
d = √((G * (mM)) / F).
Therefore, the value of d is given by d = √((G * (mM)) / F).
To solve for 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 them, we can follow these steps:
Step 1: Multiply both sides of the equation by (d^2) to eliminate the denominator on the right side of the equation:
F * (d^2) = G * ((mM)/(d^2)) * (d^2)
Step 2: Simplify the right side of the equation:
F * (d^2) = G * mM
Step 3: Divide both sides of the equation by F to isolate the term containing d:
(F * (d^2))/F = (G * mM)/F
Step 4: Simplify the left side of the equation by canceling out the F term:
d^2 = (G * mM)/F
Step 5: To solve for d, take the square root of both sides of the equation:
√(d^2) = √((G * mM)/F)
Step 6: On the left side, the square root of (d^2) is simply d:
d = √((G * mM)/F)
Therefore, the solution for d is:
d = √((G * mM)/F)