A helium-filled balloon, whose envelope has a mass of 25 kg, is tied to a 2.0-m-long , 0.050-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon. a. Draw a free-body diagram for string-balloon systems, account for every force. b. Write an expression for the net force on this system. c. Determine the value of h in terms variables. d. If the density of air is ρ_{air}=1.29 kg/m3 and the density of Helium is ρ_{He}=0.179kg/m3, find h.
A helium-filled balloon, whose envelope has a mass of 25 kg, is tied to a 2.0-m-long , 0.050-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon. a. Draw a free-body diagram for string-balloon systems, account for every force. b. Write an expression for the net force on this system. c. Determine the value of h in terms variables. d. If the density of air is ρ_{air}=1.29 kg/m3 and the density of Helium is ρ_{He}=0.179kg/m3, find h.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 16PQ: A filled treasure chest of mass m with a long rope tied around its center lies in the middle of a...
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A helium-filled balloon, whose envelope has a mass of 25 kg, is tied to a 2.0-m-long , 0.050-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon.
a. Draw a free-body diagram for string-balloon systems, account for every force.
b. Write an expression for the net force on this system.
c. Determine the value of h in terms variables.
d. If the density of air is ρ_{air}=1.29 kg/m3 and the density of Helium is ρ_{He}=0.179kg/m3, find h.
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