On a perfect fall day, you are hovering at low altitude in a hot-air balloon, accelerated neither upward nor downward. The total weight of the balloon, including its load and the hot air in it, is 24000 N.

Find the weight of the displaced air.
Find the volume of the displaced air.

The displaced air weight is 24,000 N.

Divide by the WEIGHT density of air to get the air volume.

http://en.wikipedia.org/wiki/Density_of_air

To find the weight of the displaced air, we need to consider the principle of buoyancy. According to Archimedes' principle, the buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.

1. The weight of the balloon, including its load and the hot air, is given as 24000 N.

2. Since the balloon is at low altitude and in equilibrium (neither rising nor falling), the weight of the displaced air must be equal to the weight of the balloon.

3. Therefore, the weight of the displaced air is also 24000 N.

To find the volume of the displaced air, we can use the equation for density:

Density = Mass / Volume

The density of air can be taken as approximately 1.2 kg/m^3.

1. We know the weight of the displaced air is 24000 N.

2. We can convert the weight to mass using the equation: Weight = mass * gravity. Assuming the acceleration due to gravity is 9.8 m/s^2, we get: mass = 24000 N / 9.8 m/s^2 = 2448.98 kg.

3. Now we can rearrange the density equation to solve for volume: Volume = Mass / Density. Plugging in the values, we get: Volume = 2448.98 kg / 1.2 kg/m^3 = 2040.8 m^3.

Therefore, the weight of the displaced air is 24000 N, and the volume of the displaced air is 2040.8 m^3.

To find the weight of the displaced air, we need to understand the concept of buoyancy. According to Archimedes' Principle, buoyant force is equal to the weight of the fluid displaced by an object. In this case, the balloon displaces air, so the buoyant force is equal to the weight of the displaced air.

To find the weight of the displaced air, we can subtract the weight of the balloon and its load from the total weight of the balloon. So let's do the math:

Total weight of the balloon = 24000 N
Weight of the balloon and its load = ?
Weight of the displaced air = ?

To determine the weight of the balloon and its load, we need additional information, such as the weight of the balloon and the load separately. Please provide that information, and I'll be happy to help you further.

Next, to find the volume of the displaced air, we can use the equation:

Buoyant force = Weight of the displaced air = ρ * g * V

Where:
ρ (rho) = density of the air
g = acceleration due to gravity (approximately 9.8 m/s^2)
V = volume of the displaced air

Since the buoyant force is equal to the weight of the displaced air, we can rearrange the equation to solve for V:

V = Weight of the displaced air / (ρ * g)

Again, to find the volume of the displaced air, we need to know the weight of the displaced air. So please provide the weight of the displaced air, and I can calculate the volume for you.

20000