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If F=(kmM)/(r^(2)), then m=...

If `F=(kmM)/(r^(2))`, then m=

A

`(Fr^(2))/(kM)`

B

`(kFr^(2))/(M)`

C

`(kM)/(Fr^(2))`

D

`F(r^(2)+kM)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( F = \frac{kmM}{r^2} \) for \( m \), we will follow these steps: ### Step 1: Start with the given equation We have: \[ F = \frac{kmM}{r^2} \] ### Step 2: Multiply both sides by \( r^2 \) To eliminate the fraction, multiply both sides by \( r^2 \): \[ Fr^2 = kmM \] ### Step 3: Isolate \( m \) Now, we want to isolate \( m \). To do this, divide both sides by \( kM \): \[ m = \frac{Fr^2}{kM} \] ### Conclusion Thus, we have found the value of \( m \): \[ m = \frac{Fr^2}{kM} \]
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