The helicopter view in the figure below shows two people pulling on a stubborn mule. $($Take

F$1=133$ N and F$2=88\mathrm{.}0$ N$.$

$)$

An illustration shows the helicopter view of a mule being pulled along a forked road in two directions by two men. An x y coordinate system is overlaid on the image, with the origin at the mule's nose, and the mule facing in the positive y$-$direction. The man on the right is pulling the mule toward the right$-$side forked road with a force F$1.$ This force vector makes an angle of $60\mathrm{.}0\backslash$deg with the horizontal drawn right in front of where the mule is standing. The man on the left is pulling the mule toward the left$-$side forked road with a force F$2.$ This force vector makes an angle $75\mathrm{.}0\backslash$deg with the horizontal.

$($a$)$ Find the single force that is equivalent to the two forces shown.

magnitude

$204\mathrm{.}90$

N

direction

$77\mathrm{.}68$

$\backslash$deg counterclockwise from the $+$x$-$axis

$($b$)$ Find the force a third person would have to exert on the mule to make the net force equal to zero.

magnitude

N

direction

$\backslash$deg counterclockwise from the $+$x$-$axis

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