A child has a spherical helium balloon tied to her wrist as she walks through the park at a constant speed of 0.46 m/s in the +ŷ-direction. The balloon has a diameter of 7 cm, and it is tied to a 1 m long string. Take the density of air to be 1.108 kg/m³, the density of helium to be 0.122 kg/m³, and the density of the latex of the balloon to be 0.013 kg/m². The viscous drag constant of the balloon is 0.00148 kg/s. What is the direction of the string from the girl's wrist to the balloon? û = xŷ+ x 2

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A child has a spherical helium balloon tied to her wrist as she walks through the park at a constant speed of 0.46 m/s in the +ŷ-direction. The balloon has a diameter of 7 cm, and it is tied to a 1 m long string.
Take the density of air to be 1.108 kg/m³, the density of helium to be 0.122 kg/m³, and the density of the latex of the balloon to be 0.013 kg/m². The viscous drag constant of the balloon is 0.00148 kg/s.
What is the direction of the string from the girl's wrist to the balloon?
û =
xŷ +
X 2
Transcribed Image Text:A child has a spherical helium balloon tied to her wrist as she walks through the park at a constant speed of 0.46 m/s in the +ŷ-direction. The balloon has a diameter of 7 cm, and it is tied to a 1 m long string. Take the density of air to be 1.108 kg/m³, the density of helium to be 0.122 kg/m³, and the density of the latex of the balloon to be 0.013 kg/m². The viscous drag constant of the balloon is 0.00148 kg/s. What is the direction of the string from the girl's wrist to the balloon? û = xŷ + X 2
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