Question

Balloon of gross weight w newton and falling vertically downward with a constant acceleration the magnitude of air resistance

Answer 1

Weight of balloon = w

Let the air friction = f

mass of balloon, m = w/g

let the constant acceleration with which balloon is falling = a

Net force acting on balloon =  weight - air fiction

$\text{ma\ = w\ - f} \\ \\ \Rightarrow \frac{w}{g}\ \text{a\ = w\ -\ f}\\ \\ \Rightarrow \text{f\ = w\ -\ } \frac{w}{g}\ \text{a}\ \\ \\ \Rightarrow \boxed{\text{f\ =\ w}(1-\frac{a}{g})}$

Answer 2

$\huge\mathcal{\fcolorbox{cyan}{black}{\pink{ĄNsWeR࿐}}}$

Weight of balloon = w

Let the air friction = f

mass of balloon, m = w/g

let the constant acceleration with which balloon is falling = a

Net force acting on balloon =  weight - air fiction

$\text{ma\ = w\ - f} \\ \\ \Rightarrow \frac{w}{g}\ \text{a\ = w\ -\ f}\\ \\ \Rightarrow \text{f\ = w\ -\ } \frac{w}{g}\ \text{a}\ \\ \\ \Rightarrow \boxed{\text{f\ =\ w}(1-\frac{a}{g})}$

HOPE SO IT WILL HELP....