Can you please help me solve r1/r2 = sqrt(M2/M1)for M1.
My answer:
M1=M2r2^2/r1^2 Is this correct?
Answered above.
Yes, your answer is correct. To solve the equation r1/r2 = sqrt(M2/M1) for M1, you can follow these steps:
1. Begin with the given equation: r1/r2 = sqrt(M2/M1).
2. Square both sides of the equation to eliminate the square root: (r1/r2)^2 = (sqrt(M2/M1))^2.
3. Simplify the right side of the equation: (r1/r2)^2 = M2/M1.
4. Cross multiply the equation to get rid of the fractions: M1*(r1/r2)^2 = M2.
5. Divide both sides of the equation by (r1/r2)^2 to isolate M1: M1 = M2 / (r1/r2)^2.
6. Rewrite the equation with the terms rearranged: M1 = M2 * (r2/r1)^2.
7. Simplify further if necessary: M1 = M2 * (r2^2 / r1^2).
So, your final answer is M1 = M2 * (r2^2 / r1^2).