The required capacitance when voltage and charge of a capacitor are specified is calculated to be 0.2 F.
The expression for potential, charge and capacitance is known as,
Q = C V
where,
Q is charge
C is capacitance
V is voltage
The value of initial voltage is given as, V = 30 v
The value of initial charge is given as, Q = 6 c
Entering the values into the above equation, we have,
Q = C V
Making 'C' as subject, we have,
C = Q/V = 6/30 = 0.2 F
Thus, the required capacitance is calculated to be 0.2 F.
To know more about capacitance:
https://brainly.com/question/28445250
#SPJ4
Las esferas metálicas que se muestran en la figura se cargan con 1C cada una. La balanza se equilibra al situar el contrapeso a una distancia x del eje Se pone una tercera esfera a una distancia 2d por debajo de a esfera A y cargada con -2C. Para equilibrar la balanza se debe mover el contrapeso a la derecha, porque?
Answer:
this relationship to be true the value x ’must be positive, so it must move to the right.
Explanation:
En este ejercicio debemos utilizar la relacion de equilibrio rotacional.
Fijemos un sistema de referencia situado en el eje de jiro del sistema y la rotación antihoraria es positiva.
Las esferas estan a la izquierda y el contrapeso ala derecha
W d = w_contrapeso x
donde W es el peso de las esferas de d su distancia hasta eleje de giro
Ahora colocamos la carga negativa debajo de la esfera A, como las cargas son de diferente signo las dos esferas se atraen, lo que crea una fuerza hacia bajos de magnitud
F =k q₁ q₂/r²
F =8,9 10⁹ 1 2/ (2d)²
F = 4,45/d² N
volvamos escribir la ecuación de equilibrio rotacional con esta fuerza
F d + W d = W_contrapeso (x+x’)
(4,45 10⁹ /d²) d + W d = W_conrapeso x+ W contrapesos x’
en la primera ecuación vimos que dos terminos se igualan ,por lo cual se anulan quedando
4,45 10⁹/d = W contrapeso x’
para que esta relación sea cierta el valor e x’ debe ser positivo, por lo cual debe moverse a la derecha.
Traduction
In this exercise we must use the relationship of rotational equilibrium.
Let's fix a frame of reference located on the system's axis of rotation and the counterclockwise rotation is positive.
The spheres are on the left and the counterweight on the right
W d = w_counterweight x
where W is the weight of the spheres of d its distance to the turning axis
Now we place the negative charge under sphere A, as the charges are of different sign the two spheres attract, which creates a downward force of magnitude
F = k q₁ q₂ / r²
F = 8.9 10⁹ 1 2 / (2d)²
F = 4.45 / d² N
let's rewrite the rotational equilibrium equation with this force
F d + W d = W_ counterweight (x + x ’)
(4.45 10⁹ / d²) d + W d = W_counterweight x + W counterweights x’
In the first equation we saw that two tenunos are equal, which is why they cancel, leaving
4.45 10⁹ / d = W counterweight x ’
for this relationship to be true the value x ’must be positive, so it must move to the right.
What does the pressure at a point in a fluid depend on? Select all that apply: The depth of that point within the fluid. The pressure at the fluid's surface. The density of the fluid: The weight of the fluid directly above that point
The depth of that point within the fluid, the pressure at the fluid's surface, the density of the fluid, and the weight of the fluid directly above that point.
What is fluid?Fluid is a state of matter that is characterized by its ability to move and take on the shape of its container. Fluids are composed of particles that are free to move about, and can also exist as a gas or a liquid. Fluids are an important part of everyday life, with applications ranging from transportation of goods to the operation of complex machinery. Fluids are also used to study the behavior of particles in motion, as well as to understand the properties of matter in general.
To learn more about fluid
https://brainly.com/question/25209686
#SPJ4
explain what the net effect of the sodium-potassium pump is.
The net effect of the sodium-potassium pump is to create a transmembrane electrical potential.
Sodium-potassium pump is a process in which sodium ions (Na+) are transported out of the cell while potassium ions (K+) are transported into the cell. The net effect of this process is that there is a greater concentration of K+ ions inside the cell and a greater concentration of Na+ ions outside the cell.
This creates an electrochemical gradient across the cell membrane. This gradient is what allows cells to carry out a variety of functions such as transmitting signals and carrying out metabolic processes. The electrochemical gradient is also what drives the movement of other molecules across the cell membrane.
Learn more about sodium-potassium at:
https://brainly.com/question/32168717
#SPJ11
a if your speedometer has an uncertainty of 20 kmh at a speed of 90 kmh what is the percent uncertai
As per the given values, and uncertainty of the speedometer the actual speed could be 61.33 km/h.
Uncertainty = 2.0 km/h
Measured value = 90 km/h
Calculating the Percent uncertainty -
= (Uncertainty / Measured value) x 100
= (2.0 / 90 ) x 100
= 2.22%
Now, assuming the speedometer has the same percent uncertainty at 60 km/h, this percent uncertainty can be used to determine the range of speeds.
Percent uncertainty = 2.22%
Measured value = 60 km/h
Calculating the range -
= (Percent uncertainty / 100) x Measured value
= (2.22% / 100) x 60
= 1.33
Calculating the Total speed -
= 60 + 1.33
= 61.33
Read more about speed on:
https://brainly.com/question/27888149
#SPJ4
Complete Question:
If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h ,what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h , what is the range of speeds you could be going?
i need help with this question really urgent
Answer:
Cost Per Hour:
132.0000
Cost Per Day:
39600.0000
Cost Per Month:
1204632.00
Cost Per Year:
14455584.00
kWh Per Day:
3600.00
Suppose we want to calculate the moment of inertia of a 68. 5 kg skater, relative to a vertical axis through their center of mass.
A. First calculate the moment of inertia (in kg⋅m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0. 115 m. Ib = 0. 453 This was correct. I cannot figure part B
B. Now calculate the moment of inertia of the skater (in kg⋅m2) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0. 875 m long rods extending straight out from the center of their body being rotated at the ends
The moment of inertia of the skater when their arms are extended is 2.724 kg·m².
In the given question, the mass of the skater is 68.5 kg. The radius of cylinder, r = 0.115 m. The length of arm, l = 0.875 m. The percentage of mass in each arm is 5%.
The moment of inertia of a skater when the arms are pulled inward is given as: I_b = 0.453 kg.m²
Let's calculate the moment of inertia of the skater when the arms are extended. The skater is considered to be composed of two parts, body and arms.
The moment of inertia of the body can be calculated as:
I_b = (1/2) M_b R_b² ... (1)
Here, M_b is the mass of the body, and R_b is the radius of the body. The given radius, r = 0.115 m is the radius of the body. Therefore, R_b = 2r = 0.23 m. The mass of the body can be calculated as:
M_b = (1 - 0.05) M = 0.95 (68.5 kg) = 65.075 kg.
Substituting these values in equation (1), we get:
I_b = (1/2) × 65.075 × (0.23)²= 1.106 kg.m²
The moment of inertia of each arm can be calculated as:
I_a = (1/3) M_a L_a² ... (2)
Here, M_a is the mass of each arm, and L_a is the length of each arm. The percentage of mass in each arm is 5%. Therefore, the mass of each arm can be calculated as:
M_a = 0.05 M = 0.05 (68.5 kg) = 3.425 kg.
Substituting the given values in equation (2), we get:
I_a = (1/3) × 3.425 × (0.875)²= 0.809 kg.m²
The total moment of inertia of the skater is given by: I = I_b + 2I_a (since there are two arms) = 1.106 + 2(0.809) = 2.724 kg.m²
Therefore, the moment of inertia of the skater when their arms are extended is 2.724 kg·m².
Learn more about Moment of inertia:
https://brainly.com/question/14119750
#SPJ11
You push a block to the top of an inclined plane. The mechanical advantage of the plane is 5. The inclined plane is 10 meters long. What is the height of the inclined plane?
0.5 m
2 m
50 m
10 m
Answer:
Height of the inclined plane = 2 m
Explanation:
Given:
Mechanical advantage of the plane = 5 m
Inclined plane = 10 meters
Find:
Height of the inclined plane = ?
Computation:
⇒ Height of the inclined plane = Inclined plane / Mechanical advantage of the plane
⇒ Height of the inclined plane = 10 m / 5 m
⇒ Height of the inclined plane = 2 m
A bucket of water is pushed from left to
right with increasing speed across a horizontal
surface. Consider the pressure at two points
lat the same level in the water.
Answer:
It is higher at the point on the left
Explanation:
Which one of these is NOT equal to linear velocity?a.v2/r b.displacement/time c.2πfrd.ωr
The linear velocity in terms of the angular velocity is,
\(v=\omega r\)where,
\(\omega\text{ is the angular velocity, r is the radius of the circular motion}\)The angular velocity in terms of the linear frequency is,
\(\omega=2\pi f\)Thus, the linear velocity in terms of linear frequency is,
\(v=2\pi fr\)The linear velocity in terms of the displacement and time is,
\(v=\frac{\text{displacement}}{\text{time}}\)The relation given in the first option is the expression for centripetal acceleration.
\(a_c=\frac{v^2}{r}\)Thus, option a is the correct answer.
Force (N) = 250
Mass (kg) = 221
Acceleration (m/s^2) = ?
Answer:
The required acceleration is \(a=1.1\) m/s²
Explanation:
Given
Force F = 250 NMass m = 221 kgTo determine
Acceleration a = ?
We know that acceleration is produced when a force is applied to a body.
The acceleration can be determined using the formula
\(F = ma\)
where
F is the force m is the mass a is the accelerationnow substituting F = 250 , and m = 221 in the formula
\(F = ma\)
\(250 = 221 (a)\)
switch the equation
\(221(a) = 250\)
Divide both sides by 221
\(\frac{221a}{221}=\frac{250}{221}\)
simplify
\(a=\frac{250}{221}\)
\(a=1.1\) m/s²
Therefore, the required acceleration is \(a=1.1\) m/s²
(FREE FALL) An object falls from an unknown height, crosses last 196m in 4s. Find the falling time and height.
Answer: An object is dropped from a height of 75.0 m above ground level.
Explanation: I hoped that helped !
A point charge produces an electric flux of +305 N⋅m2/C through a gaussian sphere of radius 15.0 cm centered on the charge. a What is the flux through a gaussian sphere with a radius 29.0 cm ?b What is the magnitude of the charge?
Given
The electric flux is
\(\phi=+305\text{ Nm}^2\text{ /C}\)Radius of the sphere,
\(r=15.0\text{ cm}\)To find
a. The flux through a gaussian sphere with radius of 29.0 cm.
b. The magnitude of the charge
Explanation
a. Since the gaussian sphere covers the same charge so the electric flux through both the sphere will be same.
Thus the required flux is
\(\phi=305\text{ Nm}^2\text{ /C}\)b.
The magnitude of the charge is
\(\begin{gathered} Q=\phi\epsilon_o \\ \Rightarrow Q=305\times8.85\times10^{-12} \\ \Rightarrow Q=30.97\times10^{-12}\text{ C} \end{gathered}\)Conclusion
a. The flux is
\(305\text{ Nm}^2\text{ /C}\)b. The charge is
\(30.97\times10^{-12\text{ }}C\)Can someone pretty please help? will give brainliest and thats a promise
What type of cooling would a scientist determine formed an igneous rock found with large crystals?
Medium rate cooling
Slow cooling
Quick cooling
Super-fast cooling
Answer:
slower cooling
Explanation:
Slower cooling cause the rock is very hot it will take time to cool
Hope it helps
there must be equal amounts of mass on both side of the center of mass of an object.T/F
An object's centre of mass must be surrounded by an equal amount of mass on both sides. It is untrue.
Does an object's centre of mass have to be located there?The centre of mass of an item typically, but not always, sits within the thing itself. For instance, a ball's centre of mass is located in its exact centre, while a book's centre of mass is located in its middle.
When two masses are equivalent, what happens?When two objects of equivalent mass and speed approach one another, they stay together. After staying together, the two surfaces come to rest while retaining motion but losing kinetic energy. several of the energy of motion gets converted to thermal energy, or heat.
To know more about masses visit:
https://brainly.com/question/11622869
#SPJ4
a hiker makes four straight-line walks a 21 km at 143 ◦ b 24 km at 250 ◦ c 16 km at 161 ◦ d 16 km at 84 ◦
The total distance covered by the hiker is 77 km.
How can we calculate the total distance covered by the hiker?To calculate the total distance covered by the hiker, we need to add up the distances of each individual walk.
For the first walk, the hiker covers a distance of 21 km at an angle of 143 degrees. The distance traveled can be calculated using the formula: distance = magnitude × cos(angle). Thus, the distance for the first walk is 21 km × cos(143°).
For the second walk, the hiker covers a distance of 24 km at an angle of 250 degrees. Using the same formula, the distance for the second walk is 24 km × cos(250°).
For the third walk, the hiker covers a distance of 16 km at an angle of 161 degrees. Again, applying the formula, the distance for the third walk is 16 km × cos(161°).
Finally, for the fourth walk, the hiker covers a distance of 16 km at an angle of 84 degrees. The distance can be calculated as 16 km × cos(84°).
To find the total distance, we add up the distances from each walk: (21 km × cos(143°)) + (24 km × cos(250°)) + (16 km × cos(161°)) + (16 km × cos(84°)) = 77 km.
Learn more about total distance
brainly.com/question/19339844
#SPJ11
which property of jupiter's moon europa makes it a more likely candidate to harbor extraterrestrial life? select one: a. satellite images show seasonal variations on its surface. b. satellites have detected oxygen in its atmosphere. c. hydrothermal activity provides energy to heat and melt an ocean of water beneath its surface. d. jupiter's powerful magnetic field generates electrical activity on its surface.
Therefore, even though Europa has a diameter that is only one-fourth that of Earth, her ocean may hold twice the amount of water as Earth's seas do.The immense and unfathomably depths ocean of Europa is regarded as the best area to look for life outside of Earth.
Why then is Europa the Galilean moon most likely to have life?As a result of the liquid water's close proximity to the silicate mantle, Europe is one of the finest options for habitability.The amount of radiation that strikes the moons from Jupiter is a crucial component in determining whether or not they are habitable.
What quality of Europa, a moon of Jupiter, makes it possibly habitable?Europa would need to contain the necessary chemical components for life's chemistry in order to be potentially habitable.These include the frequently occurring elements carbon, hydrogen, nitrogen, oxygen, phosphorus, and sulfur, which are thought to have been present on Europa at the time it originated.
to know more about Europa visit:
https://brainly.com/question/22673942
#SPJ4
a washing machine of 46 ohm draws a current of 5A. Determine the power rating of tye washing machine
Answer:
Power is associated by many people with electricity. Knowing that power is the rate of energy use or energy conversion, what is the expression for electric power? Power transmission lines might come to mind. We also think of lightbulbs in terms of their power ratings in watts. Let us compare a 25-W bulb with a 60-W bulb. (See Figure 1(a).) Since both operate on the same voltage, the 60-W bulb must draw more current to have a greater power rating. Thus the 60-W bulb’s resistance must be lower than that of a 25-W bulb. If we increase voltage, we also increase power. For example, when a 25-W bulb that is designed to operate on 120 V is connected to 240 V, it briefly glows very brightly and then burns out. Precisely how are voltage, current, and resistance related to electric power?
Explanation:
a skier starts from rest and skis down a 82 meter tall hill labeled h1, into a valley and staught back up another 35 meter hill(labled h2). How fast in m/s is she going at the top of the 35 meter hill? Assume no friction
Answer:
She is going at 30.4 m/s at the top of the 35-meter hill.
Explanation:
We can find the velocity of the skier by energy conservation:
\( E_{1} = E_{2} \)
On the top of the hill 1 (h₁), she has only potential energy since she starts from rest. Now, on the top of the hill 2 (h₂), she has potential energy and kinetic energy.
\( mgh_{1} = mgh_{2} + \frac{1}{2}mv_{2}^{2} \) (1)
Where:
m: is the mass of the skier
h₁: is the height 1 = 82 m
h₂: is the height 2 = 35 m
g: is the acceleration due to gravity = 9.81 m/s²
v₂: is the speed of the skier at the top of h₂ =?
Now, by solving equation (1) for v₂ we have:
\( v_{2}^{2} = \frac{2mg(h_{1} - h_{2})}{m} \)
\( v_{2} = \sqrt{2g(h_{1} - h_{2})} = \sqrt{2*9.81 m/s^{2}*(82 m - 35 m)} = 30.4 m/s \)
Therefore, she is going at 30.4 m/s at the top of the 35-meter hill.
I hope it helps you!
if you were in the d galaxy how would the a b c and e galaxies appear to move relative to your location
If you were in the D galaxy, the A, B, C, and E galaxies would appear to move relative to your location in the following ways
Galaxy A: Depending on the relative positions of the D and A galaxies, galaxy A may appear to move towards, away, or across your field of view. The actual direction and speed of its movement would depend on the relative distances and velocities of the galaxies.
Galaxy B: Similarly, galaxy B may appear to move towards, away, or across your field of view, depending on its relative position and motion with respect to the D galaxy.
Galaxy C: Galaxy C would also appear to move relative to your location in a manner similar to A and B, depending on its position and motion with respect to the D galaxy.
Galaxy E: Galaxy E may appear to move towards or away from your location, depending on whether it is located on the opposite side or the same side of the D galaxy as you are.
It is important to note that the actual motion of the galaxies relative to your location would depend on a number of factors, including their distances, velocities, and the time elapsed between observations. Additionally, the motion of the galaxies may be influenced by the gravitational pull of other nearby galaxies or dark matter structures.
To know more about observations visit :
https://brainly.com/question/9679245
#SPJ11
which of the following is necessarily true? which of the following is necessarily true? a single photon of violet light has more energy than a single photon of red light. red light has more energy than violet light. violet light has more energy than red light. a single photon of red light has more energy than a single photon of violet light. none of the above.
The necessarily true statement is that a single photon of violet light has more energy than a single photon of red light.
This is because energy is directly proportional to the frequency of the light, and violet light has a higher frequency than red light. Photons are the fundamental units of light, and they carry energy in the form of electromagnetic radiation. The energy of a photon is given by the equation E = hf, where E is energy, h is Planck's constant, and f is the frequency of the light. Since the frequency of violet light is higher than that of red light, a single photon of violet light has more energy than a single photon of red light. Therefore, the correct answer is "a single photon of violet light has more energy than a single photon of red light."
To know more about photon visit:
https://brainly.com/question/29413875
#SPJ11
What does a simple pulley do?
A. It makes you have to pull harder on the rope.
B. It increases the force.
O O O O
C. It redirects the force.
D. It makes the load heavier.
Answer:
C. It redirects the force
The position of a car at time t is given by the function p(t)=t2 2t−4. What is the velocity when p(t)=11? assume t≥0
The velocity when function p(t)=11 is 8 .
According to the question
The position of a car at time t represented by function :
\(p(t)=t^{2} +2t-4\)
Now,
When function p(t) = 11 , t will be
\(p(t)=t^{2} +2t-4\)
11 = t²+2t-4
0 = t² + 2t - 15
or
t² +2t-15 = 0
t² +(5-3)t-15 = 0
t² +5t-3t-15 = 0
t(t+5)-3(t+5) = 0
(t-3)(t+5) = 0
t = 3 , -5
as t cannot be -ve as given ( t≥0)
so,
t = 3
Now,
the velocity when p(t)=11
As we know velocity = \(\frac{position}{time}\)
therefore to get the value of velocity from function p(t)
we have to differentiate the function with respect to time
\(\frac{d(p(t))}{dt} =\frac{d}{dt} (t^{2} +2t-4)\)
v(t) = 2t + 2
where v(t) = velocity at that time
as t = 3 for p(t)=11
so ,
v(t) = 2t + 2
v(t) = 2*3 + 2
v(t) = 8
Hence, the velocity when function p(t)=11 is 8 .
To know more about function here:
https://brainly.com/question/12431044
#SPJ4
A
heat engine is measured to have 30% efficiency. Is the theoretical
efficiency going to be greater or less than that? Why?
The theoretical efficiency is greater than that of the actual efficiency of the engine. This is because heat engine always produces some waste heat.
The Second Law of Thermodynamics states that a heat engine cannot be 100% efficient. In practice, a heat engine is only 100% efficient when it is operating at about 30-50% efficiency.
If we were to multiply this by 100, we would get the efficiency as a percent: 49%. This is the theoretical maximum efficiency. If we were to actually build an engine, it would be less efficient than the theoretical engine. The theoretical engine that can achieve this theoretical maximum efficiency is called the Carnot Engine.
To learn more about the heat engine, refer to the link:
https://brainly.com/question/13155544
#SPJ4
A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.
Answer:
Density= 2.78 g/cm³
Relative density=2.8
Explanation:
To calculate the density of the cube we have to use the formula ρ=mass/volume
ρ stands for density.
So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³
3³= 9 cm³
Now plug in the values. ρ= 25 g/9 cm³
ρ= 2.78 g/cm³
To find the relative density, we have to use the formula ρsample/ρH20
The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.
Now we have to make the units same so you change the unit of the density of cube to kg/m³
So, 25/1000= 0.025 kg
9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)
=0.000009 m³
The new density= 0.025 kg/ 0.000009 m³
= 2777.78 kg/m³
Now plug the values into the formula:
relative density= 2.777.78 kg/m³ / 997 kg/m³
=2.8
There is no unit since kg/m³ and kg/m³ cancels
What is the difference between regular electricity and static electricity
A person walks 100m in 5
minutes, then 200m in 7
minutes and finally 50m in
4 minutes. Find their
average speed.
The average speed of person is 21.87 m/s.
Given data:
The first 100 m distance is covered in 5 minutes.
Next, 200 m distance is covered in 7 minutes.
And finally, the distance of 50 m is covered in 4 minutes.
The average speed of any object is defined as the total distance covered by object in an entire journey divided by the total time taken to cover the journey. The mathematical expression for the average speed of person is,
\(v_{av.}=\dfrac{D_{total}}{t_{total}}\\\\\\v_{av.}=\dfrac{100 +200+50}{5+7+4}\\\\\\v_{av.}=21.87 \;\rm m/min\)
Thus, we can conclude that the average speed of person is 21.87 m/min.
Learn more about the average speed here:
https://brainly.com/question/12322912
A large crate is pushed across the floor with an effort of 45 Newtons. The box is pushed a distance of 3.5 meters. How much work is done?
Answer:
\(\boxed {\boxed {\sf 157.5 \ Joules }}\)
Explanation:
Work is equal to the product of force and distance.
\(W=F*d\)
The box is being pushed with an effort (force) of 45 Newtons and the distance is 3.5 meters.
\(F= 45 \ N \\d= 3.5 \ m\)
Substitute the values into the formula.
\(W= 45 \ N * 3.5 \ m\)
Multiply.
\(W= 157.5 \ N*m\)
1 Newton meter is equal to 1 Joule Our answer of 157.5 N*m equals 157.5 J\(W= 157.5 \ J\)
157.5 Joules of work are done on the crate.
Which country first put a manned spacecraft into orbit?.
The Soviet Union (now Russia) was the first country to put a manned spacecraft into orbit.
On April 12, 1961, Soviet cosmonaut Yuri Gagarin made history by becoming the first human to orbit the Earth aboard the Vostok 1 spacecraft. This groundbreaking achievement was a result of the Soviet space program's efforts to develop the necessary technology and launch capabilities.
Gagarin's successful orbit marked a significant milestone in space exploration and demonstrated the Soviet Union's prowess in the space race with the United States.
The mission not only showcased Soviet technological advancements but also symbolized a major leap forward in human exploration of space, inspiring future generations of astronauts and scientists worldwide.
To know more about the Soviet Union refer here :
https://brainly.com/question/31565617#
#SPJ11
The Milky Way Galaxy is (a) another name for our solar system; (b) a small group of stars visible in our night sky; (c) a collection of more than 100 billion stars, of which our Sun is one
Answer:
C
Explanation:
please give brainliest
please help me
:::::::::::::::::::::::::::::::::
6 μg -----------》g
:::::::::::::::::::::::::::::::::
How to convert and answer
the lesson about prefixes in physics
Answer:
6 × 10^-6 gram or 0.000006 Grams
Explanation:
6 Micrograms = 6.0×^10-6