Question

One force of magnitude 61 acts on an object. Another force of magnitude 92 acts on the object at a right angle, what is the magnitude of the resultant force on the object?

Answer 1

Given:

The first force acting on the object is 61.

The second force acting on the object is 92.

The angle between two forces is 90.

The resultant force acting on the object is,

$F=\sqrt[]{F^2_{1^{}}+F^2_{2^{}}+2F_1F_2\cos \theta}$

Substitute the known values,

$\begin{gathered} F=\sqrt[]{(61)^2+(92)^2+2(61)(92)\cos 90} \\ =\sqrt[]{3721+8464+0} \\ =\sqrt[]{12185} \\ \approx110.4 \end{gathered}$

Thus, the resultant force acting on the object is 110.4.