a meteorological balloon of mass 5kg has a volume of 10cm3 and is filled with 2kg of helium. assume that the density of air is 1.3kg/m3 calculate bouyant force on the balloon

Answer 1

To calculate the buoyant force on the balloon, we can use the formula:

Buoyant force = weight of fluid displaced by the object

First, we calculate the volume of the balloon in cubic meters:
10 cm^3 = 10 * 10^-6 m^3 = 0.00001 m^3

The mass of the air displaced by the balloon is equal to the density of air multiplied by the volume of the balloon:
Mass of air displaced = density of air * volume of balloon
Mass of air displaced = 1.3 kg/m^3 * 0.00001 m^3
Mass of air displaced = 0.000013 kg

The weight of the displaced air is equal to the mass of the air displaced multiplied by the acceleration due to gravity (9.81 m/s^2):
Weight of displaced air = mass of air displaced * g
Weight of displaced air = 0.000013 kg * 9.81 m/s^2
Weight of displaced air = 0.000127 kg*m/s^2

Since the buoyant force is equal to the weight of the fluid displaced, the buoyant force acting on the balloon is 0.000127 N.

Therefore, the buoyant force on the balloon is approximately 0.000127 N.