What is the lifting force of a ball filled with hot air if V = 0.01m ^ 3 p hot air = 0.2kg / m ^ 3 p air = 1.3kg / m ^ 3

Given:

V = 0.01 m3 (cubic meter) – the volume of the balloon;

ro1 = 0.2 kg / m3 (kilogram per cubic meter) – hot air density;

ro2 = 1.3 kg / m3 – air density;

g = 9.8 N / kg (Newton per kilogram) is the acceleration of gravity.

It is required to determine F (Newton) – what is the lifting force of the balloon.

Since the condition of the problem is not specified, we will not take into account the force of air resistance. Then, two forces will act on the balloon: gravity and buoyancy. The resultant of these forces will be the lifting force:

F = Farchimedes – F gravity;

F = ro2 * V * g – ro1 * V * g = V * g * (ro2 – ro1);

F = 0.01 * 9.8 * (1.3 – 0.2) = 0.098 * 1.1 = 0.1 Newton (the result has been rounded to one decimal place).

Answer: the ball will have a lifting force, wound 0.1 Newton.