Answer:
The net force is 26.52 N
Explanation:
Given that,
Volume of balloon = 2.1 L
Density of air = 1.29 kg/m³
Mass = 1.3 g
Density of helium [tex]\rho'= 0.18\times10^{-3}\ g/cm^3[/tex]
(a). We need to calculate the buoyant force on the balloon
Using formula of buoyant force
[tex]F_{b}=\rho V g[/tex]
Put the value into the formula
[tex]F_{b}=1.29\times\times2.1\times9.8[/tex]
[tex]F_{b}=26.54\ N[/tex]
(b). We need to calculate the net force
Using formula of net force
[tex]F_{net}=F_{b}-(V\times\rho'+m)\times g[/tex]
[tex]F_{net}=26.54-(2.1\times10^{-3}\times0.18\times10^{-3}+0.0013)\times9.8[/tex]
[tex]F_{net}=26.52\ N[/tex]
Hence, The net force is 26.52 N.
