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Can you think of variable-mass systems other than the examples given in the text?

Can you think of variable-mass systems other than the examples given in the text?

Grade:10

2 Answers

Jitender Pal
askIITians Faculty 365 Points
8 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
15 Points
2 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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