Answer:
La velocidad con la que se desplaza el agua antes de llegar a la parte estrecha de la tubería es 1.156 
Explanation:
La ecuación de continuidad es simplemente una expresión matemática del principio de conservación de la masa. Este principio establece que la masa de un objeto o colección de objetos nunca cambia con el tiempo.
La ecuación de continuidad es la relación que existe entre el área y la velocidad que tiene un fluido en un lugar determinado y dice que el caudal de un fluido es constante a lo largo de un circuito hidráulico.
En otras palabras, la ecuación de continuidad se basa en que el caudal (Q) del fluido ha de permanecer constante a lo largo de toda la conducción. Cuando un fluido fluye por un conducto de diámetro variable, su velocidad cambia debido a que la sección transversal varía de una sección del conducto a otra.
Entonces, siendo el caudal es el producto de la superficie de una sección del conducto por la velocidad con que fluye el fluido, en dos puntos de una misma tubería se cumple:
Q1=Q2
A1*v1= A2*v2
donde:
-
A es la superficie de las secciones transversales de los puntos 1 y 2 del conducto.
- v es la velocidad del flujo en los puntos 1 y 2 de la tubería.
Siendo
, donde pi es el número π, r es el radio del conducto y D el diámetro del conducto, entonces:

En este caso:
- D1: 0.06 m
- v1: ?
- D2: 0.04 m
- v2: 2.6 m/s
Reemplazando:

Resolviendo:


v1= 1.156 
<u><em>La velocidad con la que se desplaza el agua antes de llegar a la parte estrecha de la tubería es 1.156 </em></u>
<u><em></em></u>
Answer:
(a) Approximately
.
Explanation:
Let
denote the capacitance of a capacitor. Let
be the potential difference (voltage) between the two plates of this capacitor. The energy
stored in this capacitor would be:
.
Rearrange this equation to find an expression for the potential difference
in terms of capacitance
and energy
:
.

The capacitance
of this capacitor is given in nanofarads. Convert that unit to standard unit (farads):
.
Given that the energy stored in this capacitor is
, the potential difference across the capacitor plates would be:
.
Answer:
Part a)
v = 16.52 m/s
Part b)
v = 7.47 m/s
Explanation:
Part a)
(a) when the large-mass object is the one moving initially
So here we can use momentum conservation as the net force on the system of two masses will be zero
so here we can say

since this is a perfect inelastic collision so after collision both balls will move together with same speed
so here we can say



Part b)
(b) when the small-mass object is the one moving initially
here also we can use momentum conservation as the net force on the system of two masses will be zero
so here we can say

Again this is a perfect inelastic collision so after collision both balls will move together with same speed
so here we can say



(a) We can find the current flowing between the walls by using Ohm's law:

where

is the potential difference and

is the resistance. Substituting these values, we get

(b) The total charge flowing between the walls is the product between the current and the time interval:

The problem says

, so the total charge is

The current consists of Na+ ions, each of them having a charge of

. To find the number of ions flowing, we can simply divide the total charge by the charge of a single ion:
Answer:
a. The spheres will attract each other.
Explanation:
When two conducting spheres are connected by a conducting wire and a negatively charged rod is brought near it then this will induce opposite (positive) charge at the nearest point on the sphere and by the conservation of charges there will also be equal amount of negative charge on the farthest end of this conducting system this is called induced polarization.
- When the conducting wire which joins them is cut while the charged rod is still in proximity to of one of the metallic sphere then there will be physical separation of the two equal and unlike charges on the spheres which will not get any path to flow back and neutralize.
- Hence the two spheres will experience some amount of electrostatic force between them.