Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

The balloon with mass m is desending with an acceleration a where a

In brainly.in we usually answer the questions which convey some meaning to us...So please :)
is the acceleration itself no



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
If balloon is descending in vacuum, a = g.          Otherwise,

Let V be the volume of balloon.  Let ρ be the density of balloon. ρ = m/V

Let d be the density of air in the atmosphere at the location where balloon is descending.

There is a force of buoyancy upwards on balloon exerted by air in the atmosphere.

Net Force on balloon downwards = m g - d V g = (m - d V) g

Acceleration downwards of the balloon = (m - d V) g / m  = [1 - d V/m] g 
        a  = [ 1 - d/ρ ] g 

If we want to be more precise, there is also a drag (damping) or contact force of air resistance on the balloon = b v, where v is the instant velocity of balloon.

               a = g - (d/ρ) g - b v,           where v =  \int\limits^t_0 {a} \, dt

 This is a second order differential equation. It is to be solved to get an exponentially decreasing function of time.

1 5 1
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts