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 pie 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.?
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 pie 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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Hello,
Can someone please show how to solve part d and e?
Thanks
Transcribed Image Text:**Problem 5: Helium-Filled Balloon Physics**
A Helium-filled birthday balloon is tied with a string to a chair to prevent it from flying away. Assume the string is massless, and the balloon is a perfect sphere. Use the following symbols: \( \rho_{\text{air}} \) and \( \rho_{\text{He}} \) for the densities of air and helium, respectively. Additional symbols for parameters and variables can be selected as necessary.
**Tasks:**
a. Draw the forces diagram.
b. Draw the free-body diagram for the balloon.
c. Calculate the tension in the string.
d. If the string snaps, determine the balloon’s acceleration as it flies off.
e. Given that the densities of air and helium are \( 1.29 \, \text{kg/m}^3 \) and \( 0.18 \, \text{kg/m}^3 \), respectively, the balloon skin has a mass of 3 grams, and the balloon diameter is 40 cm, find the numerical answer to question c.
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