There are two holes,one each along the opposi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) According to Torricelli's law,the velocity of efflux from a hole at depth $h$ is $v = \sqrt{2gh}$.The force exerted by the water jet exiting a hol

Vedclass · Accepted Answer

$200$

Vedclass · Answer

(B) According to Torricelli's law,the velocity of efflux from a hole at depth $h$ is $v = \sqrt{2gh}$.The force exerted by the water jet exiting a hole of area $A$ is given by $F = ho A v^2$.For the upper hole at depth $h_1$,the force is $F_1 = ho A (2gh_1)$.For the lower hole at depth $h_2 = h_1 + h$,where $h = 1 \,m$ is the vertical distance between the holes,the force is $F_2 = ho A (2g(h_1 + h))$.Since the holes are on opposite sides,the forces act in opposite directions. The net force $F_{net}$ on the tank is the difference between these forces:$F_{net} = F_2 - F_1 = ho A (2g(h_1 + h)) - ho A (2gh_1) = 2 ho A g h$.Substituting the given values: $ho = 1000 \,kg/m^3$,$A = 0.01 \,m^2$,$g = 10 \,m/s^2$,and $h = 1 \,m$:$F_{net} = 2 	imes 1000 	imes 0.01 	imes 10 	imes 1 = 200 \,N$.

Similar Questions

$A$ liquid is filled in a tank up to a height of $5 \,m$ and the bottom of the tank is at $5 \,m$ height from the ground. $A$ hole is punched in the tank so that the liquid coming out touches the ground at maximum horizontal distance. Then, the maximum horizontal distance is (in $\,m$)

The three water-filled tanks shown have the same volume and height. If small identical holes are punched near their bottoms,which one will be the first to get empty?

Vedclass Test Series

Exam Paper Generator

Online Exam Module