I was given an answer to a question but what I really need are the steps to get there as I have other questions I need to answer the same way.
Solve the equation w=Cr^-2 for r
I was given r=C/w
This equation is meant to figure out the weight of an object where C is a constant and r is the distance that the object is from the center of the earth.
My very next question asks me to substitute 100 pounds for an oject so if I don't get his right they will all be wrong.
Can anyone show me the steps?
w=c/r^2
r^2=C/w
r= sqrt (C/w)
Sure! I'd be happy to explain the steps to solve the equation w=Cr^-2 for r.
1. Start with the equation: w = Cr^-2.
2. Multiply both sides of the equation by r^2 to eliminate the exponent. This gives you wr^2 = C.
3. Divide both sides of the equation by w to isolate r^2. The equation now becomes r^2 = C/w.
4. To solve for r, take the square root of both sides of the equation. This gives you r = √(C/w).
Now, let's substitute the weight of 100 pounds for w and solve for r.
1. Begin with the equation r = √(C/w).
2. Substitute the given value of 100 pounds for w. The equation now becomes r = √(C/100).
3. Simplify the equation further by simplifying the square root of C/100, if possible.
Please note that without knowing the specific value of the constant C, it is not possible to evaluate the equation further. However, you can still express the solution as r = √(C/100), where C represents the unknown constant.
Remember to be careful with units when substituting values into equations; make sure that the units of weight match in order to obtain accurate results.