To find the weight of the balloon and helium, we need to calculate the total mass of the helium gas inside the balloon. The formula for the weight is given by:
Weight = Mass * Gravitational acceleration
First, we need to find the mass of the helium. We can get the mass by multiplying the volume of the helium with the density of helium:
Mass = Volume * Density
Given:
Volume of helium (V) = 0.30 m^3
Density of helium (ρ) = 0.20 kg/m^3
Substituting these values, we get:
Mass = 0.30 m^3 * 0.20 kg/m^3
Mass = 0.06 kg
Now, we can calculate the gravitational force on the helium alone by multiplying the mass with the gravitational acceleration:
Gravitational force = Mass * Gravitational acceleration
Gravitational acceleration (g) on Earth is approximately 9.8 m/s^2.
Substituting the values, we get:
Gravitational force = 0.06 kg * 9.8 m/s^2
Gravitational force = 0.588 N
Therefore, the gravitational force on the helium alone is approximately 0.588 N.