SOLUTION: A hot air balloon can lift 2 tones the basket weights 800kg it has 15 sandbags to keep the ballon on the ground A) What’s the possible mass of each sandbags. B ) the sandbags

Algebra ->  Equations -> SOLUTION: A hot air balloon can lift 2 tones the basket weights 800kg it has 15 sandbags to keep the ballon on the ground A) What’s the possible mass of each sandbags. B ) the sandbags      Log On


   

Question 1175736: A hot air balloon can lift 2 tones the basket weights 800kg it has 15 sandbags to keep the ballon on the ground
A) What’s the possible mass of each sandbags.
B ) the sandbags are removed so the passengers can take a ride what’s the maximum number of adults (each weighing) 75kg that the ballon can carry
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

Part (A) 


The equilibrium equation is


    2 tons = 800 + 15x  kilograms    (x is the mass/(the weight) of each sandbag)


    2000 = 800 + 15x


    x = %282000-800%29%2F15 = 80 kg  is the mass of each sandbag.


Part B 

The maximum possible number of passengers


    n = %282000-800%29%2F75 = 16.      ANSWER

Solved.


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But be aware (!) - - - This design  HAS  NO  margin of safety (!)