A satellite in force free space sweeps stationary interplanetary dust at a rate (dM)/(dt)=alphavwhere m is mass, v is the velocity of the satellite and alpha is a constant. What is the deceleration of the satellite.

A satellite in force free space sweeps stationary interplanetary dust

1.	A satellite in force free space sweeps stationary interplanetary dust at a rate (dM)/(dt)=alphavwhere m is mass, v is the velocity of the satellite and alpha is a constant. What is the deceleration of the satellite.
Answer» SOLUTION :`F=(DP)/(dt)RARR F=v(DM)/(dt), F=v(alphav)rArr F=alphav^(2) rArr Ma=alphav^(2)rArr a =(alphav^(2))/M`