A satellite in a force free space sweeps stationary interplanetary

Home » Mechanics » Laws of Motion » Question

A satellite in a force free space sweeps stationary interplanetary dust at a rate (dM/dt) = αv. The acceleration of satellite is

1. 2αv²/M
2. αv²/M
3. -αv²/2M
4. -αv²

Correct Option: B

Thrust on the satellite,

F =	-vdM	-v(αv) = -αv²
	dt

Acceleration -	F	-	-αv²
	M		M