Question

Two forces act at a point in the plane. The angle between the forces is given. Find the magnitude of the resultant force.Forces of 40 and 86 newtons, forming an angle of 90°(Round to the nearest newton)

Answer 1

`\begin{equation*} 95\text{ }N \end{equation*}`

Step-by-step explanation

First, let us make a sketch of the problem:

To find the magnitude of the resultant force, we have to apply Pythagoras theorem, since the triangle formed is a right triangle:

`\begin{gathered} c^2=40^2+86^2 \\ \Rightarrow c=√(40^2+86^2) \end{gathered}`

where c is the magnitude of the resultant force

Hence, the magnitude of the resultant force is:

`\begin{gathered} c=√(1600+7396)=√(8996) \\ c\approx95\text{ }N \end{gathered}`

That is the answer.