Question

A balloon of mass m is descending down with an acceleration



a.How mt mass be removed from it so that it starts moving with an acceleration 2a

Answer 1

Answer: -

When baloon is descending down with ans acceleration a

mg - F =ma________(1)

When mass removed

acceleration = 2a

then equation be :-

F - (m -m1)g = m(m - m1)2a____(2)

From 1 and 2 we get

mg - (m- m1)g = ma +(m -m1)2a

mg - ma = (m - m1)2a +(m -m1)g

mg -ma = (m- m1)(2a+g)

F/2a +g = (m -m1)

F/2a+g - m = -m1

-(F/2a+g-m) =m1