Question

A jet of water squirts out horizontally from a hole near the bottom of the tank shown in the figure. If the hole has a diameter of 4.00 mm, what is the height h of the water level in the tank?

A tank of water sits upright on a surface that is elevated above the ground. The height of the elevated surface above the ground is labeled 1.00 m. The height of the water from the bottom of the tank to the surface of the water at the open top of the tank is labeled h. A hole at the bottom of the tank on its right side allows water to eject to the right. The ejected water curves down and to the right, and reaches the ground at a horizontal distance of 0.600 m from the hole.

Answer 1

solving the projectile motion of ejected water H = 1.oom, R = 0.600m water is ejecting from the hole horizontally soy Voxe = 1 and Voy = 0 Now R = Voxt + 1 aut , H = Voyt + 1 ayt" auzo, ay = g (as acceleration is in down wasd direction) =) R=vt and H = 1 gf² t = B H = £ G x2 2 2 => 1 = GR9-81X0-600- =) V = 1-33 m/s 12 2 2X1.00 Now according to Bernauli's theorem v=reg h = h = 12 = 72/2H _ R =) h = 0.600 = 0.0900 m