Example $3.5.$ A hydraulic jump is to be formed in a rectangular channel of $10m$ wide. The discharge is $150\frac{m^3}{s}.$ The tail water depth in the channel is $4m,$ which is $1m$ less than the depth required for the formation of the jump without any baffle blocks. Therefore, baffle blocks should be placed for the formation of the jump. The force on the baffle blocks can be estimated as $F_b=2A{E}_1,$ where $A$ is the frontal area of the baffle blocks, $E_1$ is the specific energy of the supercritical flow and $=9810\frac{N}{m^3}$ is the specific weight of the water.

a$)$ Find the total frontal area of the baffle blocks.

b$)$ Show on the specific force curve the initial and the sequent depths of the jump without baffle blocks.

c$)$ Show on the same specific force curve the initial and the sequent depths of the jump with the 'baffle blocks and force on the baffle blocks.