A satellite in force free space sweeps stationaryinterplanetary dust at a rate (dm)/(dt)= alphav where m is mass , V is the velocity of the satellite and alphais a constant . What is the decelration of the satellite .

A satellite in force free space sweeps stationaryinterplanetary dust a

1.	A satellite in force free space sweeps stationaryinterplanetary dust at a rate (dm)/(dt)= alphav where m is mass , V is the velocity of the satellite and alphais a constant . What is the decelration of the satellite .
Answer» Solution :`F = (dp)/(dt) IMPLIES F = v. (dM)/(dt) , F=v(ALPHA v ) implies F = alpha v^(2) implies Ma=alphav^(2) implies a=(alphav^(2))/(M)`