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Balloon Clips

February 6th, 2009 Leave a comment Go to comments

Balloon Clips
A spherical rubber balloon with mass 0.85 g and diameter 30 cm is filled with helium (density 0.18 kg/m^3).?

How many 1.0-g paper clips can you hang from the balloon before it loses its buoyancy?

V = 4/3πr^3
=>V = 4/3 x 3.14 x (0.3)^3 = 0.11304 m^3
=>m = V x d = 0.11304 x 0.18 = 0.0203472 kg = 20.35 gm
=>Total mass = M + m = 0.85 + 20.35 = 21.20 gm
Let n no. of clips are added
=>Net weight = [21.20 + n] x 10^-3 x 9.8 N ———–(i)
Buoyant force = V x d(air) x g ———————–(ii)
On equating (i) & (ii) :-
=>0.11304 x 1.2 x 9.8 = [21.20 + n] x 10^-3 x 9.8
=> n = 114.448
=>n = 114 clips

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