Momentum and CollisionMedium
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
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
A ball of mass 1kg strikes a heavy platform, elastically, moving upwards with a velocity of 5m/s. The speed of the ball ...A shell is fired from a cannon with a velocity v (m/s) at an angle with the horizontal direction. At the highest point i...A glass full of water is placed on a weighing scale, which reads 10 N. A coin with weight 1 N is gently released into th...A ball after falling from a height of 10m strikes the roof of a lift which is descending down with a velocity of 1 m/s. ...Two identical balls are released from positions as shown. They collide elastically on horizontal surface. Ratio of heigh...