Question $5$

For both forces and for both angles, the uncertainty is F $=10$ N and $=0\mathrm{.}5.$ Find the corresponding uncertainty in the x$-$component of the net force on this system, in N$.$

Hints:

Propagate the uncertainty for the x$-$component of each force first.

Then, propagate through the subtraction $($and be careful with the sign you should use$)$

Keep at least $3$ decimals in all the intermediate steps