Posted by **Rob** on Friday, June 15, 2012 at 9:16pm.

In this problem, your task is to analyze a lead balloon. The balloon in question is a hollow sphere of diameter of 20.0 m, constructed from a lead foil 0.25 mm thick and filled with helium gas. Below the balloon, a passenger basket is suspended. The mass of the passenger basket along with the balloon's riggings is 295 kg. For various parts of this problem, you will need to know the density of lead (11,300 kg/m3), and the densities of air and helium at standard atmospheric temperature and pressure (1.28 kg/m3 and 0.179 kg/m3). (a) What is the weight of the lead balloon, including helium, lead, basket and rigging? (b) What is the volume of the air displaced by the balloon? (Ignore any air displaced by the basket and rigging.) (c) What is the buoyant force on the balloon? (d) The maximum "payload" of the balloon, the weight of the passengers and equipment it can lift, equals the net upward force on an unloaded balloon. Can this balloon lift a payload of 7.5×103 N?

- Physics -
**Elena**, Saturday, June 16, 2012 at 3:55pm
Volume of sphere =π•D³/6 = 4188.8 m³,

Surface of sphere = π•D² = 1256.6 m²,

Volume of lead foil = 1256.6•0.00025 = 0.314 m³

Mass of the lead foil = ρ•V= 11300•0.314 = 3548.2 kg.

(a) Weight = mg=[m(sph)+m(passenger)+m(He)] •g=

= [3548.2+295+749.8] •9.8=45011.4 N.

(b) 4188.8 m³,

(c) F= ρ•V•g=1.28•4188.8•9.8 = 52544.3 N.

(d) Δ= 52544.3-45011.4=7532.9 N

7532.9>7500 => This balloon can lift the payload.

## Answer This Question

## Related Questions

- Physics PLEASE help! - I REALLY NEED HELP WITH THIS!!!!! In this problem, your ...
- physics - How many circus balloons will it take to lift a 80.0 kg person? The ...
- maths - Find the mass of a hollow sphere of lead,with external diameter 10 cm ...
- Physics - Hey can someone help me out? I only have 1 attempt left on this ...
- Physics - An empty rubber balloon has a mass of 0.012kg. the balloon is filled ...
- Physics - An empty rubber balloon has a mass of 0.0120 kg. The balloon is filled...
- Physics - A 0.11-kg balloon is filled with helium (density = 0.179 kg/m3). If ...
- physics - An empty rubber balloon has a mass of 0.0100 kg. The balloon is filled...
- physics - A child loses his balloon, which rises slowly into the sky. a) If the ...
- Chemistry - The buoyant force on a balloon is equal to the mass of air it ...

More Related Questions