Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 5 - Force and Motion-I - Problems - Page 121: 61


$m=M\dfrac {2a}{g+a}$

Work Step by Step

Firstly we need to find the vertical force acting on the balloon $Mg-F=Ma\Rightarrow F=M\left( g-a\right) \left( 1\right) $ Lets assume the mass thrown from the balloon is $m$ after thrown the mass balloon starts to accelerate with magnitude of acceleration $a$ Upwards. At that time total mass of balloon will be $M-m$ So $F-\left( M-m\right) g=\left( M-m\right) a\Rightarrow m=M-\dfrac {F}{g+a}\left( 2\right) $ From (1) and(2) we get $m=M\dfrac {2a}{g+a}$
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