Respuesta :
Answer:
1) The volume of helium in the ballon when is fully inflated is 492.8070 m³
2) The magnitude of the force of gravity (with no people) is 869.3119 N
Explanation:
Given:
ρair = density of air = 1.28 kg/m³
ρhelium = density of helium = 0.18 kg/m³
R = radius of balloon = 4.9 m
mtotal = 121 kg
Vtotal = 0.073 m³
mp = average mass per person = 73 kg
Vp = 0.077 m³
g = gravity = 9.8 m/s²
Questions:
1) What is the volume of helium in the balloon when fully inflated, Vhelium = ?
2) What is the magnitude of the force of gravity on the entire system (but with no people), Fg = ?
1) The volume of helium in the ballon when is fully inflated
[tex]V_{helium} =\frac{4}{3} \pi R^{3} =\frac{4}{3} \pi *4.9^{3} =492.8070m^{3}[/tex]
2) First, you need to calculate the mass of helium
[tex]m_{helium} =\rho _{helium} *V_{helium} =0.18*492.8070=88.7053kg[/tex]
The magnitude of the force of gravity (with no people)
[tex]F_{g} =m_{helium} *g=88.7053*9.8=869.3119N[/tex]
