Question

.
A satellite in force-free space sweeps stationary
Interplanetary dust at a rate of dM/dt = av, where
Mis mass and v is the speed of satellite and a.
is a constant. The tangential acceleration of
satellite is​

Answer 1

Explanation:

given that the mass of the satelite is m

and dM/dt=av

now using newton second law

F=d/dt(MV)

=M(dv/dt)+v(dM/dt)

​now F=0

dv/dt=(-av^2)/M

dv/dt=a=-av^2/m   will be the tangential acceleration of the satelite