5) A Helium-filled birthday balloon is tied with a string to a chair, to prevent it from flying off. (Assume the string is massless, the balloon is a perfect sphere; use the following symbols: pair and phe for the densities of the air and He, respectively; select other symbols for parameters and variables as you need them.) a. Draw the forces diagram. b. Draw the free-body diagram for the balloon. c. What is the tension in the string? d. The string snaps; what is the balloon's acceleration as it flies off? e. If the densities of air and Helium are 1.29 kg/m³ and 0.18 kg/m³, respectively, the balloon skin has a mass of 3 grams, and the balloon diameter is 40 cm, what is the numerical answer to question c.?

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5) A Helium-filled birthday balloon is tied with a string to a chair, to prevent it from flying
off. (Assume the string is massless, the balloon is a perfect sphere; use the following
symbols: pair and pHe for the densities of the air and He, respectively; select other
symbols for parameters and variables as you need them.)
a. Draw the forces diagram.
b. Draw the free-body diagram for the balloon.
c. What is the tension in the string?
d. The string snaps; what is the balloon's acceleration as it flies off?
e. If the densities of air and Helium are 1.29 kg/m³ and 0.18 kg/m³, respectively,
the balloon skin has a mass of 3 grams, and the balloon diameter is 40 cm, what
is the numerical answer to question c.?
Transcribed Image Text:5) A Helium-filled birthday balloon is tied with a string to a chair, to prevent it from flying off. (Assume the string is massless, the balloon is a perfect sphere; use the following symbols: pair and pHe for the densities of the air and He, respectively; select other symbols for parameters and variables as you need them.) a. Draw the forces diagram. b. Draw the free-body diagram for the balloon. c. What is the tension in the string? d. The string snaps; what is the balloon's acceleration as it flies off? e. If the densities of air and Helium are 1.29 kg/m³ and 0.18 kg/m³, respectively, the balloon skin has a mass of 3 grams, and the balloon diameter is 40 cm, what is the numerical answer to question c.?
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