Rising Balloon!

Classical Mechanics Level 3

A balloon starts rising from the surface of earth. The vertical component of the balloon's velocity is constant and it's equal to v 0 v_0 . Due to wind, it gathers some horizontal velocity v x = a y v_x = ay , where a a is a constant and y y is the height from the surface of the Earth.

The normal acceleration of the balloon as a function of y y is

Image credit: Wikipedia Tiia Monto
a v 0 2 ( a y ) 2 + v 0 2 \frac{av^2_0}{\sqrt{(ay)^2 + v^2_0}} a v 0 ( a 2 y ) + 1 \frac{av_0}{\sqrt{(a^2y) +1}} 2 a v 0 a y 2 + 1 \frac{2av_0}{\sqrt{ay^2 + 1}} None of These 2 a v 0 2 ( a y ) 2 + 2 v 0 2 \frac{2av^2_0}{\sqrt{(ay)^2 + 2v^2_0}}

Nishant Rai by Nishant Rai , 25, India

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1 solution

Rahul Badenkal
Jun 17, 2015

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Sahi hai yaar,,😄😀😀😀😎😎😎😱😱🍵

aditya mittal - 3 years ago

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