First slide

Pseudo force

Question

A balloon of mass M is descending at a constant acceleration $α$ . When a mass m is released from the balloon, it starts rising with the same acceleration $α$ . Assuming that its volume does not change, what is the value of m ?

Moderate

A

$\frac{α}{α + g} M$
B

$\frac{2 α}{α + g} M$
C

$\frac{α + g}{α} M$
D

$\frac{α + g}{2 α} M$

Solution

Suppose F = upthrust due to buoyancy
Then while descending, we find $M g - F = M a (i)$
When ascending, we have $F - (M - m) g = (M - m) a (i i)$
Solving Eqs. (i) and (ii), we get $m = [\frac{2 α}{α + g}] M$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App