6. A 17 kg child is handed a bunch of 137 helium balloons at the county fair. She finds that if she stands on a bathroom scale while holding the balloons, it shows that she weighs only 55 N.
a. What is the upward force due to each balloon?
b. How many total balloons would it take to just lift her off the ground?
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Explanation:
Taking g = 10 m/s²
(a) Weight of child = 17 × 10 = 170 N
Apparent weight = 55 N
Total force by 137 balloons = 170-55 = 115 N
Average force by each balloon = 115÷137 = 0.84 N
(b) Force required to just lift her off the ground = 170 N
Force by each balloon = 0.84 N
Number of balloons required = 170÷0.84 = 203 balloons
Note: Answers may change if we take g = 9.8 m/s²
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