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Q.

A spaceship of mass  m0 moves in the absence of external forces with a constant velocity  v0.  To change the motion direction a jet engine is switched on. It starts ejecting a gas jet with velocity relative to space ship being u such that u is constant and always directed at right angles to   the spaceship motion. The engine is shut down when the mass of the spaceship decreases to m07.4.   Find the angle in radians by which the motion direction of the spaceship will deviate due to the jet engine operation.Use the value  uv0=1.
 

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Detailed Solution

[Ans:α=(u/v0)ln(m0/m)]

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A spaceship of mass  m0 moves in the absence of external forces with a constant velocity  v0.  To change the motion direction a jet engine is switched on. It starts ejecting a gas jet with velocity relative to space ship being u such that u is constant and always directed at right angles to   the spaceship motion. The engine is shut down when the mass of the spaceship decreases to m07.4.   Find the angle in radians by which the motion direction of the spaceship will deviate due to the jet engine operation.Use the value  uv0=1.