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

Options

A. `-2 alphav^(2)//M`
B. `-2alphav^(2)//M`
C. `alphav^(2)//M`
D. `-alphav^(2)`

Answer

C

Explanation

`F=-alphav^(2)`
`therefore a=(-alphav^(2))/(M)`