Question

alculate the buoyant force on a 1.90-L helium balloon at sea level. Given the mass of the rubber in the balloon is 1.10 g, what is the net vertical force on the balloon if it is let go? You can neglect the volume of the rubber.

Answer 1

The buoyant force on a helium balloon is found by applying Archimedes' principle, which equates the buoyant force to the weight of the displaced air. This force is then compared with the weight of the balloon to determine the net vertical force.

Step-by-step explanation:

Calculating the Buoyant Force on a Helium Balloon

To calculate the buoyant force acting on a helium balloon at sea level, we apply Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the balloon. Since helium is less dense than air, the balloon will experience an upward buoyant force. We can assume the density of air at sea level is approximately 1.225 kg/m³.

Steps for Calculation:

1. 
   
3. Convert the volume of the balloon from liters to cubic meters: 1.90 L = 0.00190 m³.
4. 
   
6. Calculate the weight of the air displaced by the balloon: Weight = density of air × volume of balloon × acceleration due to gravity.
7. 
   
9. Calculate the balloon's mass in kilograms: 1.10 g = 0.00110 kg.
10. 
    
12. Finally, we can find the net vertical force on the balloon by subtracting the weight of the balloon from the buoyant force.

Once we have the buoyant force and the weight of the balloon, we subtract the weight of the balloon from the buoyant force to get the net vertical force.