A balloon of volume 2000 metre cube is filled with hydrogen of density 0.09 kg per metre cube the mass of the fabric is hundred kg the mass of the pilot is 70 kg what is the greatest mass of equipment that can be carried when operating in air of density 1.25 kg per metre cube(answer:2150 kg)
Answers
mass of equipment that can be carried when operating in air of density 1.25 kg/m³ is 2150 kg.
volume of balloon = 2000m³
balloon is filled with hydrogen of density 0.09 kg/m³ .
so, mass of hydrogen = density of hydrogen × volume of balloon
= 0.09 × 2000 = 180 kg
mass of the fabric = 100kg
mass of the pilot = 70kg
Let mass of equipment that can be carried is x kg
so, total mass of system = 180kg + 100kg + 70kg + x = (350 + x) kg
now, final density of system = 1.25 kg/m³
so, final mass of system of balloon = final density × volume of balloon
= 1.25 × 2000 = 2500 kg
now, 2500 kg = total mass of system
⇒25000 kg = (350 + x)kg
⇒x = 2150 kg
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volume of balloon = 2000m³
balloon is filled with hydrogen of density 0.09 kg/m³ .
so, mass of hydrogen = density of hydrogen × volume of balloon
= 0.09 × 2000 = 180 kg
mass of the fabric = 100kg
mass of the pilot = 70kg
Let mass of equipment that can be carried is x kg
so, total mass of system = 180kg + 100kg + 70kg + x = (350 + x) kg
now, final density of system = 1.25 kg/m³
so, final mass of system of balloon = final density × volume of balloon
= 1.25 × 2000 = 2500 kg
now, 2500 kg = total mass of system
⇒25000 kg = (350 + x)kg
⇒x = 2150 kg