A big size balloon of mass M is held stationary in air with the help of a small block of mass M//2 tied to it by a light string such that both float in mid air. Describe the motion of the balloon and the block when the string is cut. Support your answer with calcutations

A big size balloon of mass M is held stationary in air with the help o

1.	A big size balloon of mass M is held stationary in air with the help of a small block of mass M//2 tied to it by a light string such that both float in mid air. Describe the motion of the balloon and the block when the string is cut. Support your answer with calcutations
Answer» SOLUTION :Free block DIAGRAM of balloon and block shown below : When the balloon is held stationary in air, the forces acting on it get BALANCE Up thrust = Wt. of Balloon + Tension in string U = Mg + T M for the small block of MASS`(M)/(2)` floating stationary in air `T=(M)/(2)` g `:. "" U=Mg+(M)/(2)g=(3)/(2)Mg` When the string is cut T = 0, the small block begins to fall freely, the balloon rises up with an acceleration ‘a’ such that U-Mg=Ma `(3)/(2)Mg-Mg=Ma` ` a=(g)/(2)` in the UPWARD direction.