Question

forces of 15N and 8N act concurrently at right angles to each other at the same time. their resultant force must be​

Answer 1

17 Newtons

Step-by-step explanation:

`F_(net)=\sqrt{(F_(y))^(2)+(F_(x))^(2)}=\sqrt{15^(2)+8^(2)}=√(225+64)=√(289)=17`

`F_(net)=\sqrt{(F_(y))^(2)+(F_(x))^(2)}` — formula for resultant force

`F_(net)=\sqrt{15^(2)+8^(2)}` — substitute the values in

`F_(net)=√(225+64)` — simplify by squaring the numbers

`F_(net)=√(289)` — simplify by adding the squares

`F_(net)=17` — simplify by taking the square root

The reason the formula for the resultant force resembles that for a right triangle is because we are treating the two forces as the legs of a right triangle. The resultant would then be the hypotenuse of that triangle.

Hope this helps! Have a great day!