Question

A helium-filled balloon, whose envelope has a mass of 0.26 kg, is tied to a 3.6-m long, 0.053-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, as in the figure below. Determine the value of h. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon. (The density of air is 1.29 kg/m³ and the density of helium is 0.179 kg/m³.)
m

Answer 1

Answer Given that m = 0,26kg I-3.6m M = 0.053 kg No.40m Sair=1.29 Kg/m the = 0.179 kg /m² Volume of balloon (V)= 4 ar Vaga X043 = 0.268 m3 e -1.29-0.179 = 1.11 kg mo lift is lillX 0,268= 0.2997 dag Subetract the mas of cruelop to get - obereng forces 0.2977-0.26 = 0,0377 kg (forig Mage of string is = 0.05379.6 = 0,0147 Mgm. К7 Ф. УТКА h- 0.0377 0.0147 h=2.56m