A satellite in force-free space sweeps stationary interplanetary dust at a rate \( d M / d t=\in...

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A satellite in force-free space sweeps stationary interplanetary dust at a rate \( d M / d t=\infty o \) where \( M \) is the mass, \( v \) is the velocity of the satellite and \( \alpha \) is a constant. What is the de-acceleration of the satellite [CBSE PMT 1994]
(a) \( -2 \alpha v^{2} / M \)
(b) \( -\alpha v^{2} / M \)
(c) \( +\alpha v^{2} / M \)
(d) \( -\alpha v^{2} \)
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