Answer:
3698.28287 N
1932.48287 N
Explanation:
[tex]\rho[/tex] = Density of air = 1.2 kg/m³
g = Acceleration due to gravity = 9.81 m/s²
v = Volume of air in balloon = [tex]\frac{4}{3}\pi r^3[/tex]
r = Radius of balloon = 0.5 m
The buoyant force is given by
[tex]B=600\times \rho vg\\\Rightarrow B=600\times 1.2\times \frac{4}{3}\pi 0.5^3\times 9.81\\\Rightarrow B=3698.28287\ N[/tex]
The buoyant force generated by the balloons is 3975.65408 N
The net force would be
[tex]F=B-mg\\\Rightarrow F=3698.28287-0.3\times 600\times 9.81\\\Rightarrow F=1932.48287\ N[/tex]
The net upward force on the balloon is 2209.85408 N
As the balloons gain altitude the outside pressure starts decreasing and the pressure difference between the inside and outside of the balloon becomes significant. This causes the balloon to burst.
