Question

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 1

If r^2=x^2+y^2 then
y^2=r^2-x^2
y=$\sqrt{r^2-x^2}$

Answer 2

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 $y=\pm\sqrt{r^2-x^2}$.