Question

if water is falling from a nul drop after drop. 1st drop has fallen on ground while 3rd drop is near to fall while 2nd drop is between somewhere distance between 1st and 3rd drop is 5 meter. What is distance between 2nd and 3rd drop?

Answer 1

Answer on Question #45542 – Physics - Mechanics | Kinematics | Dynamics

If water is falling from a nul drop after drop. 1st drop has fallen on ground while 3rd drop is near to fall while 2nd drop is between somewhere distance between 1st and 3rd drop is 5 meter. What is distance between 2nd and 3rd drop?

We will assume that time $t_d$ between drops is equal. Drops will pass distance:

$$\begin{array}{l} 1: H = \frac{gt^2}{2} \rightarrow t = \sqrt{\frac{2H}{g}} \\ 2: S_2 = \frac{g(t - t_d)^2}{2} \\ t = 2t_d \\ \end{array}$$

Where $H = 5m$ – total height, $S_2$ – distance from the $3^{\text{rd}}$ drop to the $2^{\text{nd}}$ drop, $t_d$ – time between drops, $t$ – time after $1^{\text{st}}$ drop start falling.

From these equations, we will get:

$$\begin{array}{l} S_2 = \frac{gt^2}{8} = \frac{2Hg}{8g} = \frac{H}{4} \\ S_2 = \frac{5m}{4} = 1.25m \\ \end{array}$$

Answer: distance between $2^{\text{nd}}$ and $3^{\text{rd}}$ drop is $1.25m$

http://www.AssignmentExpert.com/