A hole is punched in a full milk carton, 10 cm below the top. What is the initial velocity of outflow?
A) 1.4 m/s
B) 2.0 m/s
C) 2.8 m/s
D) 3.9 m/s
E) 4.2 m/s

Question

Quizplus · Accepted Answer

The initial velocity of outflow can be calculated using Torricelli's law, which states that the speed of efflux, v, from a hole at a depth h below the surface of a liquid is given by $v = \sqrt{2gh}$, where g is the acceleration due to gravity (approximately $9.8 m/s^2$). Plugging in the given depth of 10 cm (0.1 m) gives $v = \sqrt{2 \times 9.8 m/s^2 \times 0.1 m} = \sqrt{1.96 m^2/s^2} = 1.4 m/s$.

A Hole Is Punched in a Full Milk Carton, 10