Hey can someone help me out? I only have 1 attempt left on this question and do not understand it at all!!!
A 3.5 kg balloon is filled with helium ( density = 0.179 kg/m^3).
If the balloon is a sphere with a radius of 5.2m , what is the maximum weight it can lift?
What is the weight of the air it displaces (volumeair*density*g) minus the weight of the balloon (mg)?
So volume of balloon 4/3*pi*r^3 *density of helium * g - ( 3.5 *9.81) ?
yes.
The answer of 999.9 N was one I already tried, and it was not correct :(
oops. I should have given you more.
The density in the first part is the density of air.
volumeair*densityair*g
then the weight of the balloon has to include the weight of the helium (which is apparently not in the 3.5kg)
weightballoon=(3.5*g+volumehelium*densityhelium*g)
now is should work.
Of course, I'd be happy to help you with your question!
To determine the maximum weight a balloon can lift, we need to find the buoyant force acting on it, which is related to the difference in densities between the helium inside the balloon and the air outside.
The buoyant force (B) is given by the formula: B = V * ρf * g, where V is the volume of the displaced air, ρf is the density of air, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
To find the volume of the displaced air, we first need to find the volume of the balloon itself. In this case, the balloon is a sphere with a radius of 5.2 m.
The formula for the volume of a sphere (V_sphere) is: V_sphere = (4/3) * π * r^3, where r is the radius of the sphere.
Now that we have the volume of the sphere, we can calculate the volume of the displaced air (V_air) by subtracting the volume of the balloon from the volume of the sphere: V_air = V_sphere - V_balloon.
Given that the radius of the balloon (r) is 5.2 m, we can now calculate the volume of the balloon (V_balloon).
V_balloon = (4/3) * π * (5.2)^3
Once we have the volume of the balloon, we can calculate the volume of the displaced air (V_air).
V_air = V_sphere - V_balloon
Next, we need to calculate the mass of the displaced air (m_air), which is equal to the density of air (ρf) multiplied by the volume of the displaced air (V_air): m_air = ρf * V_air.
Given that the density of air (ρf) is approximately 1.225 kg/m^3, we can calculate the mass of the displaced air (m_air).
m_air = ρf * V_air
Finally, we can calculate the maximum weight the balloon can lift (W_max), which is equal to the mass of the displaced air (m_air) multiplied by the acceleration due to gravity (g): W_max = m_air * g.
So, by following these steps, you can calculate the maximum weight the balloon can lift.