A large water tank, open at the top, has a small hole in the bottom.When the water level is 30 m above the bottom of the tank, the speed of the water leaking from the hole:
A)is 2.5 m/s
B)is 24 m/s
C)is 44 m/s
D)cannot be calculated unless the area of the hole is given
E)cannot be calculated unless the areas of the hole and tank are given

Question

Quizplus · Accepted Answer

According to Torricelli's law, the speed of water leaking from a small hole in a tank is given by v = sqrt(2gh), where g is the acceleration due to gravity, h is the height of water above the hole, and v is the speed of water at the hole.
In this case, h = 30 m, and g = 9.8 m/s^2. Plugging in these values, we get v = sqrt(2 x 9.8 x 30) = 24.01 m/s, which can be rounded to 24 m/s. Therefore, the correct choice is B.

A Large Water Tank, Open at the Top, Has a Small