Vdebris = {$Vdebris} m/s Vnet = {$Vnet} m/s Space debris can be very dangerous for the occupants of a space station. Fortunately the space station is equipped with a collection net that can capture the hazardous material. At the time the net is fired, the separation distance between the debris and space station is {$HeadStart2} m.
With respect to the original position of the space station, what is the position at which the net captures the incoming debris?
Answer (1)
Answer:Find the position where the net captures the incoming debris, we'll use relative motion and time of capture. Given:- Initial separation distance = HeadStart2 (m)- Velocity of debris = Vdebris (m/s)- Velocity of net = Vnet (m/s)Assuming the net fires directly at the debris, we'll use one-dimensional motion.Time of capture (t) = HeadStart2 / (Vdebris - Vnet)Position of capture (x) = (Vnet) * tx = (Vnet) * (HeadStart2 / (Vdebris - Vnet))x = (Vnet * HeadStart2) / (Vdebris - Vnet)This equation calculates the position where the net captures the incoming debris, relative to the original position of the space station.
