Question
Equation F_(lift)=(rho _(out)-rho _(in))times Vtimes g A hot air balloon has a volume of 2500 cubic meters. The density of the air outside the balloon is 1.225kg/m^wedge 3 and the density of the hot air inside the balloon is 0.95kg/m^wedge 3 Using the gravitational constant 10m/s^wedge 2 calculate the following: 1. Calculate the lifting force in newtons using F_(lift)=(rho _(out)-rho _(in))times Vtimes g 2. Convert newtons to kg by dividing your answer by 10 then tell me how many kilograms of weight the hot air balloon can carry.
Answer
4.3
(273 Votes)
Cedric
Master · Tutor for 5 years
Answer
1. Calculate the lifting force in newtons:
2. Convert newtons to kilograms:
Thus, the hot air balloon can carry 687.5 kilograms of weight.
Explanation
To calculate the lifting force, we use the given formula \(F_{lift} = (\rho_{out} - \rho_{in}) \times V \times g \). Here,
is the density of the air outside the balloon,
is the density of the hot air inside the balloon,
is the volume of the balloon, and
is the gravitational constant. After calculating the lifting force in newtons, we convert it to kilograms by dividing by 10 (since
).