Understanding Buoyancy
* Archimedes' Principle: An object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object.
* Density: Density is mass per unit volume (ρ = m/V).
Calculations
1. Volume: The balloon's volume is 6000 ml, which is equal to 6 liters (1 L = 1000 ml).
2. Density of Air: The density of air at room temperature and standard pressure is approximately 1.2 kg/m³. We need to convert the volume to cubic meters (1 m³ = 1000 L):
* 6 liters * (1 m³ / 1000 L) = 0.006 m³
3. Mass of Displaced Air:
* Mass = Density * Volume
* Mass = 1.2 kg/m³ * 0.006 m³ = 0.0072 kg
4. Weight of Displaced Air:
* Weight = Mass * Acceleration due to gravity (g = 9.8 m/s²)
* Weight = 0.0072 kg * 9.8 m/s² = 0.07056 N
Therefore, the buoyant force exerted on the toy balloon by the air is approximately 0.07056 Newtons.
Important Notes:
* This calculation assumes the balloon is filled with a gas that is much lighter than air (like helium or hot air). If the balloon is filled with a gas that is heavier than air, the buoyant force will be less than the weight of the balloon, and it will sink.
* The actual buoyant force may vary slightly depending on the temperature and pressure of the air.
