The resultant force r is related to two concurrent forces,x and y acting at right angles to one another by the formula r^2=x^2+y^2 rewrite the formula for y help plz
Answer:
The required formula is \(y=\pm\sqrt{r^2-x^2}\).
Step-by-step explanation:
The given formula is
\(r^2=x^2+y^2\)
We have to rewrite this formula for y.
Subtract x² from both the sides.
\(r^2-x^2=x^2+y^2-x^2\)
\(r^2-x^2=y^2\)
Taking square root both the sides.
\(\pm\sqrt{r^2-x^2}=\sqrt{y^2}\)
\(\pm\sqrt{r^2-x^2}=y\)
Therefore the required formula is \(y=\pm\sqrt{r^2-x^2}\).