Final answer:
To calculate the buoyant force on a helium balloon, you can use Archimedes' principle. By using the formula for calculating the buoyant force and subtracting the weight of the rubber, you can find the net vertical force on the balloon.
Step-by-step explanation:
To calculate the buoyant force on a helium balloon, we can use Archimedes' principle, which states that an object submerged in a fluid experiences an upward force equal to the weight of the fluid displaced by the object.
The buoyant force can be calculated using the formula:
Buoyant force = density of fluid x volume of fluid displaced x acceleration due to gravity
For the given helium balloon with a volume of 2.00 L, the density of the helium is approximately 0.1785 g/L. Assuming the acceleration due to gravity is 9.8 m/s², we can calculate the buoyant force:
Buoyant force = 0.1785 g/L * 2.00 L * 9.8 m/s²
This calculation gives us the buoyant force in N. To find the net vertical force on the balloon if it is let go, we need to subtract the weight of the rubber from the buoyant force. Since the weight of the rubber is given as 1.50 g, we can convert it to Newtons:
Weight of rubber = 1.50 g * 9.8 m/s²
Finally, we subtract the weight of the rubber from the buoyant force to find the net vertical force.