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

• A

  $-2{\mathrm{\alpha v}}^2/\mathrm{M}$

• B

  $-{\mathrm{\alpha v}}^2/\mathrm{M}$

• C

  $+{\mathrm{\alpha v}}^2/\mathrm{M}$

• D

  $-{\mathrm{\alpha v}}^2$