Solve each equation for the specified variable. (Assume no denomi...

Question

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. F = kMv^2/r , for v

Accepted Answer

Hey, everyone here we are asked to solve for P. In the following equation, L is equal to X times B times P squared, all divided by T. Now to start solving for P, we need to isolate P on one side of the equation. So we first need to get rid of this denominator by multiplying both sides by the denominator which is T and now rewriting our equation, we have L times T is equal to X times B times P squared. So now our next step is to get rid of the coefficient for P by dividing both sides by the coefficient which is X times B. And now we see our equation becomes P squared is equal to L times T divided by X times B. And now we need to get rid of the square term for P, which means we need to take the square root of both sides. But since we are inserting this square root on the right side of our equation, we need to have a plus or minus in front of the root. So we have P is equal to plus or minus the square root of L times T divided by X times B. So now we just need to simplify this expression here on the right side. So we can rewrite this expression as plus or minus the square root of L times T divided by the square root of X times B. So now we just need to rationalize the denominator here by multiplying the numerator and the denominator by X times B or sorry by the square root of X times B. And so now just simplifying, we see that P is equal to plus or minus the square root of L times T times X times B all divided by X times B. So with this, we have solved for P from our original given equation and simplified our solution. So we are left with answer choice. A thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. F = kMv^2/r , for v