A satellite in force free space sweeps stationary interplanetary dust at a rate $dM / dt = αw$ where M is the mass, v is the velocity of the satellite and a is a constant. What is the decceleration of the satellite?

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-2αv2/M

-αv2/M

+αv2/M

-αv2

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detailed solution

Correct option is C

F=dpdt=vdmdt=αv2 a=FM =αv2M

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A satellite in force free space sweeps stationary interplanetary dust at a rate dM/dt=αw where M is the mass, v is the velocity of the satellite and a is a constant. What is the decceleration of the satellite?

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A satellite in force free space sweeps stationary interplanetary dust at a rate $dM / dt = αw$ where M is the mass, v is the velocity of the satellite and a is a constant. What is the decceleration of the satellite?