A satellite in force-free space sweeps stationary interplanetary dust at a rate of (dm / dt) = α v where m is mass and v is the speed of satellite and a is a constant. The deceleration of the satellite is
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a
2αv2m
b
αv2m
c
αv22m
d
αv2
answer is B.
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Detailed Solution
F=-vdmdt=-v×(αv)=-αv2So, the acceleration of satellite =Fm=-αv2m∴Deceleration of satellite =αv2m.