SUMMARY
The net force on a hot-air balloon with a volume of 1.5m³, where the internal air temperature is 75°C and the external air temperature is 24°C, can be calculated using the ideal gas law and Archimedes' principle. The density of the air inside the balloon is approximately 1 kg/m³, while the density of the external air is 1.19 kg/m³. The assumption that the pressure inside the balloon is equal to the pressure outside is valid due to the open bottom of the balloon. The net force can be determined by calculating the weight difference of the displaced external air versus the internal air.
PREREQUISITES
- Understanding of the ideal gas law (PV=nRT)
- Knowledge of Archimedes' principle
- Basic concepts of pressure and density
- Familiarity with temperature conversions (Celsius to Kelvin)
NEXT STEPS
- Study the ideal gas law applications in real-world scenarios
- Learn about Archimedes' principle and its implications in fluid mechanics
- Explore calculations involving buoyancy and net forces on objects in fluids
- Investigate the effects of temperature on gas density and pressure
USEFUL FOR
Students studying physics, particularly those focusing on thermodynamics and fluid mechanics, as well as educators looking for practical examples of the ideal gas law and buoyancy principles.