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Question : The spacecraft shown is out in space and is far enough from ...

The spacecraft shown is out in space and is far enough from any other mass (e.g., planets, etc.) so as not to be affected by any gravitational influence (i.e., the net external force on the rocket is approximately zero). The system (i.e., the spacecraft and all its fuel) is at rest when it starts at A, and it thrusts all the way to B along the straight line shown using internal chemical rockets (which work by ejecting the fuel mass at very high speeds out the tail of the rocket). We are given that the mass of the system at A is m and that it has ejected half of its mass in thrusting from A to B. What will be the location of the system’s mass center when the spacecraft reaches B?

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