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A satellite in free space sweeps station...

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

A

`-alphav^(2)`

B

`-(alphav^2)/(2M)`

C

`-(alphav^2)/(M)`

D

`-(2alphav^2)/(M)`

Text Solution

Verified by Experts

The correct Answer is:
C
`F=((dM)/(dr))v=alphav^(2)(because(dM)/(dt)=alphav)`
`therefore"Retardation"=-(F)/(M)=-(alphav^2)/(M)`
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