Center of MassHard
Question
A balloon having mass ′m′ is filled with gas and is held in hands of a boy. Then suddenly it get released and gas starts coming out of it with a constant rate. The velocities of the ejected gases is also constant 2 m/s with respect to the balloon. Find out the velocity of the balloon when the mass of gas is reduced to half. (Neglect gravity & Bouyant force),
Options
A.ln2
B.2 ln 4
C.2 ln 2
D.none of these
Solution
(C) Neglecting gravity,
v = uln
u = ejection velocity w.r.t. balloon . m0 = initial mass mt = mass at any time t.
= 2ln
= 2 ln 2
v = uln
u = ejection velocity w.r.t. balloon . m0 = initial mass mt = mass at any time t.
= 2ln
= 2 ln 2Create a free account to view solution
View Solution FreeMore Center of Mass Questions
If the net external forces acting on a system is zero, then the centre of mass...The centre of mass of two masses m & m′ moves by a distance when mass m is moved by distance x and m′ is kep...A bomb travelling in a parabolic path under the effect of gravity, explodes in mid air. The centre of mass of fragments ...A particle strikes a horizontal smooth floor with a velocity u making an angle θ with the floor and rebounds with v...A man of mass ′m′ climbs on a rope of length L suspended below a balloon of mass M. The balloon is stationar...