The mechanical advantage of a machine is the ratio of the force produced by the machine to the force applied to it. Therefore, we may calculate the applied force using:
Mechanical advantage = force by machine / force applied
6 = 2 / force applied
Force applied = 1/3
Thus, the distance that the effort must move will be 1/3 inch
Answer:
El mango llega al suelo a una velocidad de 329.982 metros por segundo.
Explanation:
El mango experimenta un movimiento de caída libre, es decir, un movimiento uniformemente acelerado debido a la gravedad terrestre, despreciando los efectos de la viscosidad del aire y la rotación planetaria. Entonces, la velocidad final del mango, es decir, la velocidad con la que llega al suelo, se puede determinar mediante la siguiente fórmula cinemática:
(1)
Donde:
- Velocidad inicial, en metros por segundo.
- Velocidad final, en metros por segundo.
- Aceleración gravitacional, en metros por segundo al cuadrado.
- Tiempo, en segundos.
Si sabemos que
,
y
, entonces la velocidad final del mango es:
![v = v_{o}+g\cdot t](https://tex.z-dn.net/?f=v%20%3D%20v_%7Bo%7D%2Bg%5Ccdot%20t)
![v = -75\,\frac{m}{s}+\left(-9.807\,\frac{m}{s} \right)\cdot (26\,s)](https://tex.z-dn.net/?f=v%20%3D%20-75%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%2B%5Cleft%28-9.807%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%5Cright%29%5Ccdot%20%2826%5C%2Cs%29)
![v = -329.982\,\frac{m}{s}](https://tex.z-dn.net/?f=v%20%3D%20-329.982%5C%2C%5Cfrac%7Bm%7D%7Bs%7D)
El mango llega al suelo a una velocidad de 329.982 metros por segundo.
Current is the overall flow of electrons through a conductor and can be defined as the speed of the flow of electrons. Resistance is defined as the opposition to current flow. Circuits must have resistance to convert electrical energy into light, heat, or motion. Resistance is called the directional movement of electrons that form an electric current. It is also known that electrons do not move freely in the crystal structure of a conductor. Resistance is the inherent opposition to the flow of electrons present in a conductor. Inductance is the property of any circuit to resist any change in current while capacitance is the property of the circuit to resist any change in voltage.
<h3>What is capacitor?</h3>
A capacitor is an electronic component that stores an electrical charge. Capacitors consist of two close conductors (usually plates) separated by a dielectric material. The plates accumulate an electrical charge when connected to a power source. The main purpose of a capacitor is to store electrostatic energy in an electric field and, if possible, to supply this energy to an electrical circuit.
To avoid dangerous circuit failure, they allow alternating current to flow but block direct current. Capacitors are widely used as circuit elements in many common electrical devices. Commercial capacitors are made of interwoven metal foils with paraffin or Mylar-impregnated paper as the dielectric.
To more about capacitor, visit ;
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So, using the periodic table of elements, we know that the atomic number of sulfur is 16, which stands for the number of protons/electrons in the atom. Since the mass number, in this case is 34, is the sum of protons and neutrons, all we have to do is subtract 16 from 34, which will give us 18, the number of neutrons for this isotope of sulfur. :)
Answer:
![1.57 * 10^{3} Q](https://tex.z-dn.net/?f=1.57%20%2A%2010%5E%7B3%7D%20Q)
Explanation:
The volume charge density is defined by ρ =
(Equation A), where Q is the charge and V, the volume.
The units in the S.I. are
, so we have to express the radius in meters:
inner radius = ![4 cm * \frac{1 m}{100 cm} = 0.04m](https://tex.z-dn.net/?f=4%20cm%20%2A%20%5Cfrac%7B1%20m%7D%7B100%20cm%7D%20%3D%200.04m)
outer radius = ![6 cm * \frac{1m}{100cm} = 0.06m](https://tex.z-dn.net/?f=6%20cm%20%2A%20%5Cfrac%7B1m%7D%7B100cm%7D%20%20%3D%200.06m)
Now, we know that the volume of the sphere is calculated by the formula:
, and as we have an spherical shell, the volume is calculated by the difference between the outher and inner spheres:
V =
, where
is the outer radius and
is the inner radius.
Replacing the volume formula in the Equation A:
ρ = ![\frac{Q}{\frac{4}{3}\pi(r^{3} _{o}-r_{i} ^{3})}](https://tex.z-dn.net/?f=%5Cfrac%7BQ%7D%7B%5Cfrac%7B4%7D%7B3%7D%5Cpi%28r%5E%7B3%7D%20_%7Bo%7D-r_%7Bi%7D%20%5E%7B3%7D%29%7D)
ρ = ![\frac{3Q}{4\pi (r_{o} ^{3}-r_{i} ^{3} ) }](https://tex.z-dn.net/?f=%5Cfrac%7B3Q%7D%7B4%5Cpi%20%28r_%7Bo%7D%20%5E%7B3%7D-r_%7Bi%7D%20%5E%7B3%7D%20%29%20%7D)
Replacing the values of the outer and inner radius whe have:
ρ = ![\frac{3Q}{4\pi (1.52 * 10^{-4})}](https://tex.z-dn.net/?f=%5Cfrac%7B3Q%7D%7B4%5Cpi%20%281.52%20%2A%2010%5E%7B-4%7D%29%7D)
ρ = ![1.57 * 10^{3} Q](https://tex.z-dn.net/?f=1.57%20%2A%2010%5E%7B3%7D%20Q)