$4\mathrm{.}4\mathrm{.}1$R WP A tank and a water pipe that discharges into the tank are shown in Fig. P$4\mathrm{.}4\mathrm{.}1$R$.$ Initially the tank is empty and the water in the pipe is not flowing. A time $t=0,$ water starts to flow through the pipe and discharges into the tank with a flowrate of $10k\frac{g}{s}.$ At $t=50s,$ the water flow is turned off. Due to viscous friction the velocity of the water in the tank becomes zero. Take as the system the water in the pipe that will end up in the tank at $t=50s$ and take the tank as the control volume. Use the Reynolds transport theorem to determine the height of the water in the tank.

$4\mathrm{.}4\mathrm{.}1$R WP A tank and a water pipe that discharges into the tank are shown in Fig. P$4\mathrm{.}4\mathrm{.}1$R$.$ Initially the tank is empty and the water in the pipe is not flowing. A time $t=0,$ water starts to flow through the pipe and discharges into the tank with a flowrate of $10k\frac{g}{s}.$ At $t=50s,$ the water flow is turned off. Due to viscous friction the velocity of the water in the tank becomes zero. Take as the system the water in the pipe that will end up in the tank at $t=50s$ and take the tank as the control volume. Use the Reynolds transport theorem to determine the height of the water in the tank.