The moving tank shown is to be slowed by lowering a scoop to pick up water from a trough. The initial mass and speed of the tank and its contents are \(M_{0}\) and \(U_{0}\), respectively. Neglect external forces due to pressure or friction and assume that the track is horizontal. Apply the continuity and momentum equations to show that at any instant \(U=U_{0} M_{0} / M\). Obtain a general expression for \(U / U_{0}\) as a function of time.

Transcribed Image Text:

Tank initial mass, Mo U Water trough P4.126