Can you think of variable-mass systems other than the examples given in the text?
Hrishant Goswami , 9 Years ago
Grade 10
Mechanics> Can you think of variable-mass systems ot...
2 AnswersJitender Pal
Last Activity: 9 Years ago
Consider a balloon filled with air and held from the end such that no air leaks out through it. Now, release the end of the balloon to allow the air to leak out thereby imparting momentum to the balloon.
The balloon and the air inside the balloon form a variable-mass system. This can be seen from the fact that as the air leaks out, the amount of air inside the balloon decreases. Therefore the situation is similar to rocket propulsion, except that instead of the burning fuel, the air leaks out by imparting momentum to balloon.
Ashhfaq
Last Activity: 3 Years ago
As stated in the text, one cannot use the equation Fe^t = d(My)!dt for a system of variable mass. To show this (a) put the equation in the form (Fex, — M dsldt)l(dMldt) = v and {b) show that one side of this equation has the same value in all inertial frames, whereas the other side does not. Hence the equation cannot be generally valid, (c) Show that Eq. 42 leads to no such contradiction.
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