Calculating Motion of a Test Balloon on a Methane Planet

AI Thread Summary
The discussion revolves around calculating the motion of a test balloon and a box in a methane planet's atmosphere and liquid. The planet has a gaseous atmosphere density of 0.1 g/cm³ and a liquid methane density of 0.4 g/cm³, with the balloon and box setup weighing a total of 19 kg. Participants clarify the gravitational force on the planet, which is calculated to be approximately 0.425 m/s², and discuss the buoyant forces acting on both the balloon and the box. Archimedes' principle is referenced to determine the buoyant force, leading to calculations of net forces and acceleration. Ultimately, the time for the box to reach the surface is estimated to be around 3.33 seconds, and participants are encouraged to graph the motion accordingly.
  • #51
should I use terminal velocity equation?
 
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  • #52
I do not consider Terminal velocity. So total net force Fnet = mg-Fb= 4kg*0.425 m/s² - (0.17N+42.5N)= -40.97N so ma= -40.97N; a= -40.97N/4kg= -10.24 m/s²
 
  • #53
robax25 said:
-40.97N/4kg
How much mass is accelerating?
 
  • #54
Fnet = mg-Fb= 19kg*0.425 m/s² - (0.17N+42.5N)= -34.595N a=-34.595N/19kg=-1.8 m/s²
 
  • #55
robax25 said:
Fnet = mg-Fb= 19kg*0.425 m/s² - (0.17N+42.5N)= -34.595N a=-34.595N/19kg=-1.8 m/s²
Looks better.
Why the minus sign? Are you taking down as positive?
 
  • #56
yes but it is not a matter
 
  • #57
Now i need to find out the time to fall
 
  • #58
robax25 said:
Now i need to find out the time to fall
Fall? Do you mean time for the box to reach the surface?
Since you are ignoring drag, you can use the relevant equation you posted in post #1.
 
  • #59
yes
 
  • #60
y=0.5 at² = 0.5* 1.8m/s²*t²
t²= 10m/(0.5*1.8m/s²)=11.11s²
t=3.33s.
 
  • #61
robax25 said:
y=0.5 at² = 0.5* 1.8m/s²*t²
t²= 10m/(0.5*1.8m/s²)=11.11s²
t=3.33s.
Looks right
 
  • #62
the graph would be like that but I need to change the value.
 

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  • #63
Yes.
robax25 said:
the graph would be like that but I need to change the value.
 
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