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Q.

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

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a

−2αv2/M

b

−αv2/M

c

+αv2/M

d

−αv2

answer is C.

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Detailed Solution

F=dpdt=v dMdt=α v2∴a=FM=α v2M
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A satellite in force-free space sweeps stationary interplanetary dust at a rate dM/dt=αv where M is the mass, v is the velocity of the satellite and α  is a constant. What is the deceleration of the satellite