Question

A cylinder that is 15 cm tall is filled with water. If a hole is made in the side of the cylinder, 4.0 cm below the top level. Assume that the cylinder is large enough so that the level of the water in the cylinder does not drop significantly. 1) How far from the base of the cylinder will the stream land

Answer 1

Answer:

About 13 cm

Explanation:

We are given that

Length of cylinder,l=15 cm=$15\times 10^{-2} m$

1 m=100 cm

h=4 cm=$\frac{4}{100}=0.04 m$

Horizontal velocity of the existing water stream=$v=\sqrt{2gh}$

Where $g=9.8m/s^2$

Using the formula

$v=\sqrt{2\times 9.8\times 0.04}=0.885m/s$

h'=l-h=15-4=11 cm=$\frac{11}{100}=0.11 m$

Initial velocity of water stream,u=0

$t=\sqrt{\frac{2h'}{g}}=\sqrt{\frac{2\times 0.11}{9.8}}=0.15 s$

Distance, d=vt

Using the formula

$d=0.885\times 0.15=0.133 m$

$d=0.133\times 100=13.3 cm\approx 13 cm$