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Question

A balloon of volume 100 ms−1 is filled with hot air of density 0.40 kg ms−1. If the fabric of balloon weighs 16 kgf and equipment P is attached to it , such that balloon is in the state of equilibrium.
Calculate weight of combined hot air and balloon ?

A
46kgf
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B
40kgf
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C
56kgf
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D
50kgf
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Solution

The correct option is C 56kgf
Fabric of balloon weight =16Kgf
=16×10N
=160N
If the fabric of balloon weight =16kgf
Explanation :-
Total mass of water -
M=V×d
M=100×0.4
M=40 Kg
Mass of balloon fabric :-
M=16kg
Total weight of equipment =
W=(m+M)g
W=(40+16)×10
=560N
=56Kgf

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