Mass of gas required to lift another mass

  • Thread starter Thread starter bray d
  • Start date Start date
  • Tags Tags
    Gas Lift Mass
AI Thread Summary
To determine the minimum mass of gas required to lift another mass using a balloon, the relationship m=(MG)/(A-G) is established, where G is the gas density, M is the mass to be lifted, and A is the atmospheric density. The lifting force is feasible since the gas density is lower than the atmospheric density. Initial attempts to apply numerical values to the equation were challenging, but ultimately led to a solution. The discussion emphasizes understanding density relationships in buoyancy. The problem is resolved by recognizing the necessary conditions for lift.
bray d
Messages
10
Reaction score
0
[SOLVED] mass of gas required to lift another mass

Homework Statement



A balloon contains gas of density G and is to lift a mass M, including the balloon but not the gas. Show that the minimum mass of gas required is m=(MG)/(A-G) where A is the atmospheric density.


Homework Equations


Basic density mass relationships?


The Attempt at a Solution



Obviously the density of the gas is less than the density of the atmosphere, thus the lifting force is possible. I'm just having a hard time seeing the relationships without actual numbers. I tried applying numbers to the situation but that hasn't seemed to help, like making G=.5 and A=1. I need a witty suggestion to jump start me. Thanks
 
Physics news on Phys.org
Figured It Out!
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top