Three vectors are shown in Fig. 3–32. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of (a) components, (b) magnitude and angle with the x axis.

FIGURE 3–32 Vector magnitudes are given in arbitary units.

Solution 10P Introduction: In this case, buoyant force will be the force exerted by sea air on the balloon. Step 1: Buoyant force = Density of sea air×volume of balloon×acceleration due to gravity…..(1) Step 2: kg From the graph, density of sea air = 1.2 m3 3 Volume of the balloon is given to be 4m . Acceleration due to gravity = 9.8 m2 s