Water flows out of a large reservoir through an open pipe,as shown in the figure.What is the speed of the water as it comes out of the pipe?
A)8.9 m/s
B)9.9 m/s
C)13 m/s
D)14 m/s
E)16 m/s

Question

Water flows out of a large reservoir through an open pipe,as shown in the figure.What is the speed of the water as it comes out of the pipe? 
A)8.9 m/s 
B)9.9 m/s 
C)13 m/s 
D)14 m/s 
E)16 m/s

Quizplus · Accepted Answer

Using the principle of conservation of energy, we can equate the potential energy of the water at the top of the reservoir to the kinetic energy of the water at the bottom of the pipe.

mgh = 1/2 mv^2

where m is the mass of the water, g is the acceleration due to gravity, h is the height of the reservoir, and v is the velocity of the water at the bottom of the pipe.

Solving for v, we get:

v = sqrt(2gh)

Substituting the given values, we get:

v = sqrt(2 × 9.81 m/s^2 × 40 m) ≈ 13 m/s

Therefore, the speed of the water as it comes out of the pipe is approximately 13 m/s. Hence, the correct choice is C).

Water Flows Out of a Large Reservoir Through an Open