A satellite in force free space sweeps stationary interplanetary dust at a rate dtdM=αv, where M is the mass and v is the velocity of the satellite and α is a constant. The tangential acceleration of satellite is
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Correct option is C)
we know F=dtd(Mv)=Mdtdv+vdtdM=Mdtdv+vαv As, dtdM=αv
since, F=0 , we have acceleration dtdv=Mαv2
The deceleration of the satellite. =−Mαv2 hence,option C is correct.
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