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

A satellite in force-free sweeps stationary interplanetary dust at a rate of dM/dt=alpha v , where M is mass and v is the speed of satellite and alpha is a constant. The tangential acceleration of satellite is

A satellite in a force-free space sweeps stationary interplantary dust at a rate (dM)/(dt) = beta upsilon , where upsilon is the speed of escaping dust w.r.t. satellite and M is the mass of saetllite at that instant. The acceleration of satellite is

A spaceship in space sweeps stationary interplanetary dust . As a result , its mass increase at a rate (dM(t))/(dt) =bv^(2) (t) , where v(t) is its instantaneous velocity . The instantaneous acceleration of the satellite is :

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. Velocity of particle at time is :

An equation relating to the stability of an aeroplane is given by (dv)/(dt) = g cos alpha - kv , where v is the velocity and g, alpha, k are constants. Find an expression for the velocity if v = 0 at t =0

An artificial satelite of the moon revolves in a circular orbit whose radius exceeds the radius of the moon eta times. The process of motion the satelite experiences a slight resistance due to cosmic dust. Assuming the resistance force to depend on the velocity of the satellite as F=alphav^2 , where alpha is a constant, find how long the satellite will stay in orbit until it falls onto the moon's surface.