A spherical helium filled balloon is attached to a string that is fixed to the ground. the balloon has a volume of .30/4m^3 and helium has a density of .20 kg/m^3. What is the weight of the balloon and helium if the tension on the string is .8N?
What is the Gravitational force on the helium alone?
To find the weight of the balloon and helium, we need to calculate the mass of the helium first.
The density of helium is given as 0.20 kg/m^3, and the volume of the balloon is 0.30/4 m^3.
To find the mass of helium, we can use the equation:
Mass = Density x Volume
Substituting the given values, we have:
Mass = 0.20 kg/m^3 x 0.30/4 m^3
Now, let's calculate the mass:
Mass = 0.20 kg/m^3 x 0.075 m^3
Mass = 0.015 kg
The weight of an object can be calculated using the equation:
Weight = Mass x gravitational acceleration
Assuming the gravitational acceleration is approximately 9.8 m/s^2, we can calculate the weight of the balloon and helium:
Weight = 0.015 kg x 9.8 m/s^2
Weight = 0.147 N
Therefore, the weight of the balloon and helium is approximately 0.147 N.
Now, to find the gravitational force on the helium alone, we will need to calculate the weight of the helium. Since the weight of the helium is the same as the weight of the balloon and helium together, the gravitational force on the helium alone is also 0.147 N.