Four forces are acting on an object in static equilibrium: force 1 has a magnitude of 46.0 n and is acting at an angle of (45 + a) degrees above the positive x-axis. force 2 has a magnitude of (15+b) n and is acting along the positive x-axis. force 3 has a magnitude of 54.5 n and is acting along the negative y-axis. find the magnitude of the last force, f4. give your answer in newtons (n) and with 3 significant figures.

Aflask with vinegar in it has a mass of 160 grams. a balloon with baking soda in it has a mass of 40 grams. the balloon is attached to the flask to seal the opening and the vinegar and baking soda mixes. the balloon inflates to a large volume. what will the total mass of the balloon and flask be after the balloon inflates? explain. a) less than 200 grams because the solid baking soda disappears. b) 200 grams, because all the atoms remain in the balloon or flask. c) more than 200 grams because the size of the balloon is so much larger. d) less than 200 grams because gases such as the one in the balloon are lighter than solids and liquids.