1. Calculate the net force (which would include the force of gravity and the force of...

 

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1. Calculate the net force (which would include the force of gravity and the force of buoyancy) acting on a spherical helium-filled balloon in air with radius R=12 cm. The mass of the empty balloon shell is 3.2 g, density of air is PAIR=1.3 kg/m, and the density of helium inside the balloon is PH-0.18 kg/m. What is the direction of the net force? 1 kg = 1000 g, 1 m = 100 cm. Volume of a sphere V=(4R/3) 2. Calculate the additional mass that needs to be attached to the balloon described in the previous problem to reach mechanical equilibrium (a condition when the force of buoyancy and the force of gravity are equal in magnitude). 1. Calculate the net force (which would include the force of gravity and the force of buoyancy) acting on a spherical helium-filled balloon in air with radius R=12 cm. The mass of the empty balloon shell is 3.2 g, density of air is PAIR=1.3 kg/m, and the density of helium inside the balloon is PH-0.18 kg/m. What is the direction of the net force? 1 kg = 1000 g, 1 m = 100 cm. Volume of a sphere V=(4R/3) 2. Calculate the additional mass that needs to be attached to the balloon described in the previous problem to reach mechanical equilibrium (a condition when the force of buoyancy and the force of gravity are equal in magnitude).

Answer rating: 100% (QA)

1 The net force acting on the heliumfilled balloon in air can be calculated by considering the forces of gravity and buoyancy First we need to find the volume of the balloon which is given by V 43 R3 V 43 012 m3 V 0007238 m The mass of the empty balloon shell is 32 g which is 00032 kg The mass of the air displaced by the balloon is mair V air mair 0007238 m 13 kgm mair 00094054 kg The mass of the helium inside the balloon is mhelium V helium mhelium 0007238 m 018 kgm mhelium 000130284 kg The total mass of the balloon is the sum of the mass of the empty balloon shell air and helium mtotal mempty mair mhelium mtotal 00032 kg 00094054 kg 000130284 kg mtotal 001390824 kg The force of gravity acting on the balloon is Fgravity mtotal g Fgravity 001390824 kg 981 ms Fgravity 013634452 N The buoyant force acting on the balloon is Fbuoyancy V air g Fbuoyancy 0007238 m 13 kgm 981 ms Fbuoyancy 0091656498 N The net force is the difference between the buoyant force and the force ... View the full answer