A balloon with mass m is descending down with | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the upthrust of air be $F_a$.For the downward motion of the balloon with mass $m$ and acceleration $a$:$mg - F_a = ma$  --- $(1)$From this,we

Vedclass · Accepted Answer

$\frac{2ma}{g + a}$

Vedclass · Answer

(A) Let the upthrust of air be $F_a$.For the downward motion of the balloon with mass $m$ and acceleration $a$:$mg - F_a = ma$  --- $(1)$From this,we get $F_a = m(g - a)$.Now,let the mass removed be $\Delta m$. The new mass of the balloon is $(m - \Delta m)$.For the upward motion with acceleration $a$:$F_a - (m - \Delta m)g = (m - \Delta m)a$$F_a = (m - \Delta m)(g + a)$ --- $(2)$Equating the expressions for $F_a$ from $(1)$ and $(2)$:$m(g - a) = (m - \Delta m)(g + a)$$mg - ma = mg + ma - \Delta m(g + a)$$\Delta m(g + a) = 2ma$$\Delta m = \frac{2ma}{g + a}$

$A$ balloon with mass $m$ is descending down with an acceleration $a$ (where $a < g$). How much mass should be removed from it so that it starts moving up with an acceleration $a$?

Similar Questions

Translation is the process in which.......

If $\int \frac{d \theta}{\cos ^{2} \theta(\tan 2 \theta+\sec 2 \theta)}=\lambda \tan \theta+2 \log _{e}|f(\theta)|+C$ where $C$ is a constant of integration,then the ordered pair $(\lambda, f(\theta))$ is equal to

At a given instant,block $A$ is moving with a velocity of $5\,m/s$ upwards. What is the velocity of block $B$ at that instant?

Which type of primary xylem is present in the given figure?

Who was the first scientist to use the term 'virus' as a pathogen of infectious diseases?

Vedclass Test Series

Exam Paper Generator

Online Exam Module