Please show work 6. A balloon filled with air has a total mass of 45 g. The ball
ID: 1296853 • Letter: P
Question
Please show work
6. A balloon filled with air has a total mass of 45 g. The balloon is tied to one end of a string of length 1.2 m, the other end of which is attached to the bottom of a pool of water of depth 4.0 m. The balloon has a radius of 5.0 cm, and is completely submerged beneath the surface of the water. (a) What is the value of the buoyant force acting on the balloon? (b) What is the tension in the string? (Hint: Draw a FBD!) (c) Would the answers to (a) and (b) change if the string were only 0.2 m long? Explain your answer.
Explanation / Answer
a) Volume of balloon = 4/3 (pi r^3) = 523.67cm^3 (cc).
523.67 cc of water has a mass of 523.67 grams, or 0.52367kg.
(0.52367 x g) = 5.13N. buoyant force (g = 9.8 used).
b) (523.67g - 45g) = net 478.67g, or 0.47867kg.
Tension = (0.47867 x g) = 4.7N.