Question

Two forces pull on an object. The first is 45 N along the x-axis, the second is 65 N along the y-axis. What is the magnitude of the resultant force? Pythagoreans Theorem.I need to do the following:1. draw a free body diagram 2. identify the equations 3. set up the equation using the givens and unknowns4. solve

Answer 1

First, let's draw the free body diagram:

The equation used to find the resulting force Fr is the Pythagorean Theorem:

`a^2=b^2+c^2`

Using the given values, where the hypotenuse is the resulting force Fr, we have:

`F^2_r_{}^{}=65^2+45^2`

Now, solving the equation, we have:

`\begin{gathered} F^2_r=4225+2025 \\ F^2_r=^{}6250 \\ F_r=\sqrt[]{6250} \\ F_r=79.06\text{ N} \end{gathered}`

Therefore the resulting force is 79.06 N.