A satellite in force-free space sweeps stationary interplanetary dust at a rate of `dM//dt = alphav,` where M is the mass and v the speed of the satellite, and `alpha` is a constant. What is the deceleration that satallite experiences?

Options

A. `alpha nu`
B. `(alphaupsilon)/(M)`
C. `-(alphaupsilon^(2))/(M)`
D. `alphaupsilon^(2)`

Answer

c

Explanation

Here`F=mu(dM)/(dt)`and`a=(F)/(M)`
`a=(upsilonxxaupsilon)/(M)=(aupsilon^(2))/(M)`
is the choice.