Helium balloons are used regularly in scientific research. A typical balloon would reach an altitude of 45.0 km with an air density of 4.3×10−3 kg/m3. At this altitude the helium in the balloon would expand to 540000.0 m3. Take g=10 m/s2. Find the buoyant force on the ballon.

FB (in newtons) =

any one know?

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To find the buoyant force on the balloon, we need to use the formula:

Buoyant Force (FB) = Weight of the displaced fluid

To calculate the weight of the displaced fluid, we need to find the volume of the fluid displaced by the balloon, which in this case is helium.

Step 1: Calculate the weight of the helium in the balloon:
The weight of an object is given by the formula:
Weight = mass x acceleration due to gravity (W = mg).

Mass (m) = density x volume

In this case, the density of helium is not given, so we need to calculate it.

Step 2: Calculate the density of helium:
Density (ρ) = mass / volume

So, to find the density, we rearrange the formula as:

Density = Mass / Volume

Given that the volume (V) of helium is 540,000.0 m^3, and the air density (ρ) is 4.3 × 10^(-3) kg/m^3, we can find the mass (m) of helium as follows:

Mass of helium (m) = Density of helium (ρ) x Volume of helium (V)

Step 3: Calculate the mass of helium:
Mass of helium = 4.3 × 10^(-3) kg/m^3 x 540,000.0 m^3

Now we have the mass of helium, we can calculate the weight of helium:

Weight of helium = mass of helium x acceleration due to gravity

Step 4: Calculate the weight of helium:
Weight of helium = Mass of helium x g

Given that g = 10 m/s^2, we substitute the values into the equation to calculate the weight of helium.

Step 5: Calculate the buoyant force:
Finally, we can calculate the buoyant force by using the formula:
Buoyant Force (FB) = Weight of the helium (W)

Now, you can calculate the buoyant force using the above steps.