A cart with a nozzle contains fluid of constant density p. Its total mass at time t=0 is mo. A slow motion of a heavy pl

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A Cart With A Nozzle Contains Fluid Of Constant Density P Its Total Mass At Time T 0 Is Mo A Slow Motion Of A Heavy Pl 1 (51.34 KiB) Viewed 44 times

A cart with a nozzle contains fluid of constant density p. Its total mass at time t=0 is mo. A slow motion of a heavy plate generates a constant mass flux through the nozzle with an exit velocity w, relative to the container. The flow in the relative system is steady. Assume that aerodynamic drag on the cart is kv² where v is the velocity of the cart at that instant. Contact friction with the road is negligible. Derive the ordinary differential equation of motion of the cart where the dependent variable is the cart speed v, and the independent variable is time t. Calculate the velocity of the cart as a function of time (v(t)=?) if the initial velocity of the cart at time t=0 is vo. (Given quantities are mo, m, Wo k, Vo). plate v (t)