Two children are playing with a roll of paper towels. One child holds the roll between the index fingers of her hands so that it is free to rotate, and the second child pulls at constant speed on the free end of the paper towels. As the child pulls the paper towels, the radius of the roll of remaining towels decreases.(a) How does the torque on the roll change with time?

Answers

Answer 1

The torque on the roll of paper towels increases as the radius of the roll decreases due to the constant force being applied at a decreasing distance from the axis of rotation. When the last paper towel is pulled off the roll, the torque drops to zero. The formula for torque is torque = force x distance.

A torque is a force applied at a distance to a rotating object, causing it to rotate. A paper towel roll that is being pulled by one end is a perfect example of torque in action. The radius of the paper towel roll changes as it is pulled, so the torque on the roll also changes with time. As the radius of the paper towel roll decreases, the torque on the roll increases. This is because the force applied to the roll remains constant (since the second child is pulling at a constant speed), but the distance between the force and the axis of rotation decreases. The formula for torque is torque = force x distance.

Since the distance is decreasing, the torque must increase to maintain a constant force. As the roll gets smaller and smaller, the torque on the roll will continue to increase until it reaches a maximum when the last paper towel is pulled off the roll. At this point, the force is no longer being applied at a distance from the axis of rotation, so the torque drops to zero.

To know more about torque, visit at:

https://brainly.com/question/30338175

#SPJ11


Related Questions

Un bloque de 2 kg es lanzado a lo largo de un piso horizontal. El bloque inicia su movimiento lineal con rapidez de 5 m/s y se detiene después de recorrer 2 m. ¿Cuál es el coeficiente de fricción entre el bloque y el piso?

Answers

Answer:

El coeficiente de fricción entre el bloque y el piso es 0,64.

Explanation:

Podemos hallar el coeficiente de fricción usando la definición de trabajo:

\( W = \Delta K = K_{f} - K_{i} = -K_{i} = -\frac{1}{2}m*v^{2} \)

En donde:

Kf es la energía cinética final =0

Ki es la energía cinética inicial

m: es la masa = 2 kg

v: es la velocidad = 5 m/s

Además el trabajo es el producto de la fuerza de rozamiento (Fr) por el desplazamiento (d), por lo que tenemos:

\( -Fr*d = -\frac{1}{2}m*v^{2} \)

\((\mu mg)d = \frac{1}{2}m*v^{2}\)

\( \mu = \frac{v^{2}}{2gd} = \frac{(5 m/s)^{2}}{2*9,81 m/s^{2}*2 m} = 0,64 \)

Por lo tanto, el coeficiente de fricción entre el bloque y el piso es 0,64.

Espero que te sea de utilidad!

Someone please help meee

Someone please help meee

Answers

Answer: Your right its ( The pressure of the substance)

Explanation: MArk me as brainlisti

Answer:

The color of the substance.

Explanation:

The color. (I think, it should be right because color shouldn't affect it.)

A 0.250 kg mass is attached to a horizontal spring with a spring constant of 20.0 N/m. The mass is
pulled back and the frictionless system vibrates with simple harmonic motion. When the mass has a
displacement of 12.4 cm its speed is 0.350 m/s. What is the maximum speed of the mass?

Answers

The maximum speed of the mass suspended in the spring is 1.11 m/s.

What is the maximum speed of the mass?

The maximum speed of the mass is calculated by applying the following kinematic equation as shown below.

V ( max ) = ωA

where;

ω is the angular speed of the massA is the amplitude of the mass

The angular speed of the mass is calculated as follows;

ω = √ ( k / m )

where;

k is the spring constantm is the mass

ω = √ ( 20 / 0.25 )

ω = 8.94 rad/s

The maximum speed of the mass is calculated as follows;

v = ω A

v = ( 8.94 rad/s ) x ( 0.124 m )

v = 1.11 m/s

Thus, the maximum speed of the mass is a function of the amplitude of the oscillation, and the angular speed of the oscillation.

Learn more about maximum speed here: https://brainly.com/question/20595261

#SPJ1

What can waves be transmitted by? How do you know?

Answers

Answer:

i don’t know what kind of waves you mean but if you’re talking about sound waves...

Explanation:

“Sound waves are transmitted through solids, liquids, and gases. Light waves are transmitted through transparent materials (may be clear or colored material such as filters) that allow most of the light that strikes them to pass through them. Only a small amount of light is reflected or absorbed.”

Which conclusion has been made by the world’s major scientific bodies about climate change?

a.
The recent harsh winters have placed some doubt on projected atmospheric warming.

b.
Climate change is projected to slow down during the latter half of this century.

c.
The current climate change is caused primarily by natural processes.

d.
We do not know enough about how climate works to make any definite conclusions.

e.
Climate change is real and is happening now.

Answers

The conclusion made by the world's major scientific bodies about climate change is that it is real and is happening now.

So, the correct answer is E.

There is overwhelming evidence that human activities, such as burning fossil fuels and deforestation, are the primary cause of the current climate change. While some may point to recent harsh winters as evidence against climate change, this is actually a result of the destabilization of the polar vortex due to warming.

Scientific models project that climate change will continue to worsen if significant action is not taken to reduce greenhouse gas emissions. The consensus among the scientific community is clear: climate change is a major threat to our planet and urgent action is needed to mitigate its effects.

Hence , the answer of the question is E.

Learn more about climate change at https://brainly.com/question/1204536

#SPJ11

A car is sitting still what could cause the car to move

Answers

A force from another object maybe??

A person applies a 132 N force to a 83.3
kg sled resting on frictionless ice. At what
rate will the sled accelerate?​

Answers

Answer: 1.58 m/s^2

Explanation:

Given the following :

Applied force = 132 N

Mass of sled = 83.3 kg

Rate of acceleration of sled =?

F = mass × acceleration ( Newton's 2nd law of motion)

F = Net force

Inputing the values :

F = mass × acceleration

132 = 83.3 × acceleration

acceleration = 132 / 83.3

Acceleration = 1.5846338

Acceleration = 1.58 m/s^2

which of the following schedules would produce the longest pause after each reinforcement?

Answers

FR40 schedule would produce the longest pause after each reinforcement. Option A is correct.

The Fixed Ratio (FR) schedule requires a fixed number of responses to receive a reinforcement, while the Variable Ratio (VR) schedule requires an average number of responses to receive a reinforcement. In general, VR schedules produce higher and more consistent rates of responding than FR schedules.

Based on this information, the FR40 schedule would produce the longest pause after each reinforcement because it requires the highest number of responses (40) to receive a reinforcement. The VR30 and VR60 schedules require an average of 30 and 60 responses, respectively, to receive a reinforcement, which would likely result in shorter pauses between reinforcements compared to the FR40 schedule.

The FR10 schedule requires the fewest number of responses to receive a reinforcement and would likely result in the shortest pause between reinforcements.

Hence, A. is the correct option.

To know more about Fixed Ratio (FR) schedule here

https://brainly.com/question/28335953

#SPJ4

--The given question is incomplete, the complete question is

"Which of the following schedules would produce the longest pause after each reinforcement? A) FR40 B) VR30 C) VR60 D) FR10."--

Please someone help me.
is the block of wood at rest or in motion?
refer to the figure below draw the forces acting on the block of wood use the gas as the origin of the forces.

thank you very much for answering this.​

Please someone help me.is the block of wood at rest or in motion?refer to the figure below draw the forces

Answers

Answer:

1)  The block of wood is at rest.

2)  Weight and Normal Reaction (see attached diagram).

Explanation:

Assumptions

The block of wood is a particle (a body whose mass acts at a point, so its dimensions don't matter).There are no other external forces involved.

Question 1

"At rest" or "resting" means that the object isn't moving.

Therefore, the block of wood is at rest.

Question 2

Forces that are acting on the block of wood:

Weight (W):  Due to the particle's mass, m, and the acceleration due to gravity, g:  W = mg
(Weight always acts downwards).Normal Reaction (R or N):  The reaction from a surface.
(Normal Reaction is always at 90° to the surface).

See attached diagram.

Please someone help me.is the block of wood at rest or in motion?refer to the figure below draw the forces

8. If Bulb 8 burns out, how will the remaining bulbs be affected?
1
2
3
4
5
6
7
8

8. If Bulb 8 burns out, how will the remaining bulbs be affected?12345678

Answers

The other bulbs will go out as well because the connection between the energy source was broken until fixed they won’t work

a tight knot can be easily opened by using a long spanner. Give reason.

Answers

Answer:

It is because the effort distance is greater than the load distance

Explanation:

As we know, Effort×effort distance = load × load distance

So when effort distance is increases,

The effort decreases

So when the spanner's handle is long

A tight knot can easily be opened by less effrot

I hope it helped

Answer:

before ed is greater than ld

12 A plane starting from rest accelerates at 3 m/s for 25 s. Calculate the
increase in velocity after:
a 1 s
b 5s
C 25 s.​

Answers

Answer: 78m/s  =A

u=0 ,a=3m/sec^2 ,t=25sec

v=u+at

=0+25×3

=75m/s

after 1sec

v=u+at+75

=0+3×1+75

=78m/s

Explanation:

u=0 ,a=3m/sec^2 ,t=25sec

v=u+at

=0+25×3

=75m/s

after 1sec

v=u+at+75

=0+3×1+75

=78m/s

Which types of light are absorbed by genetic material?
ultraviolet (UV)
visible
infrared (IR)
microwave F radio

Answers

Explanation:

the answerer is visible

Genetic material is known to absorb UV light. Given what we know, we can confirm that genetic material is not known to absorb light originating from an infrared or microwave radio source.

What light does genetic material absorb?

Genetic material is the hereditary substance in the cell. It carries all information specific to an organism. It is known as DNA (deoxyribonucleic acid) or RNA (ribonucleic acid)

UV light is electromagnetic radiation, and the primary source of UV light that we are exposed to is the sun.

Therefore, given that the only form of light listed that genetic material is known to absorb is that of Ultraviolet or UV light, we can confirm that the answer to the question proposed is infrared and microwave radio light.

To learn more about UV light visit:

brainly.com/question/13695751

Describe the language of the following PDA (z is the stack end symbol) (the figure can be located under a, z/bbz X, z/z b,6/1 ۸, 2/2 90 91 92 a, b/bbb 1 b,b/1

Answers

The language of the given pushdown automaton (PDA) can be described as follows:

The PDA has a stack alphabet consisting of symbols 'a', 'b', 'z', '6', '1', '۸', '2', '9', '0', 'x', 'y'. 'z' represents the stack end symbol.

The transitions of the pushdown automaton (PDA) are as follows:

(a, z, z) -> (X, z): This transition allows the PDA to replace an 'a' at the input with an 'X' on the stack while maintaining the stack end symbol 'z'.(z, b, z) -> (z, z): This transition allows the PDA to pop a 'b' from the input without modifying the stack.(z, z, b) -> (6, 1): This transition allows the PDA to push '6' and '1' onto the stack when encountering a 'b' on the input.(6, 1, b) -> (۸, 2): This transition allows the PDA to replace the '6' and '1' on the top of the stack with '۸' and '2' respectively when another 'b' is read from the input.(x, y, b) -> (b, b, b): This transition allows the PDA to replace 'x' and 'y' on the top of the stack with 'b', 'b', and 'b' when a 'b' is read from the input.(b, b, b, b) -> (1, b): This transition allows the PDA to replace the 'b', 'b', and 'b' on the top of the stack with '1' and 'b' when another 'b' is encountered.(1, b, b) -> (1, 1): This transition allows the PDA to replace the '1' and 'b' on the top of the stack with '1' and '1' when another 'b' is read from the input.(1, 1, z) -> (z, z): This transition allows the PDA to pop '1' from the stack without modifying the input.

Thus, the language accepted by this PDA is characterized by a sequence of 'a's followed by a sequence of 'b's, where the number of 'b's is three times the number of 'a's, and each 'b' is followed by a corresponding sequence of '90', '91', '92', 'a', 'b', 'b', 'b', '1', 'b', 'b', '1', and ending with '1'.

To know more about Automatons, click here:

https://brainly.com/question/33346169

#SPJ4

Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.

Answers

The star is moving away from Earth at a velocity of 1.8 x 106 m/s.

The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.

The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.

The velocity of a star moving away from Earth can be determined using the equation:

v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).

In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.

The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.

Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.

Therefore, velocity of star 1.8 x 106 m/s.

To know more about Doppler Effect visit:

https://brainly.com/question/28106478

#SPJ11

Both reverse and closed-loop systems are important strategies that impact sustainability in a positive manner. True or False

Answers

True. Both reverse and closed-loop systems are important strategies for achieving sustainability in a positive manner.

Reverse systems involve the reuse and recycling of materials to reduce waste, while closed-loop systems focus on creating a circular economy by designing products and systems that can be continuously reused and recycled. Both strategies contribute to reducing resource depletion, pollution, and landfill waste, and can lead to significant environmental and economic benefit for achieving sustainability.

In order to meet the demands of the present generation without compromising the potential of future generations to meet their own needs, sustainability is a concept. To ensure long-term wellbeing and the protection of natural resources, it entails striking a balance between environmental, social, and economic factors. Practises that support resource efficiency, biodiversity conservation, renewable energy, waste reduction, social fairness, and responsible consumerism are all included in sustainability.

Learn more about sustainability here:

https://brainly.com/question/29770722

#SPJ11


Learn more about sustainability here:
https://brainly.com/question/29770722


#SPJ11

3 Below, someone is trying to balance a plank with stones. The plank has negligible weight. a Calculate the moment of the 4 N force about O. b Calculate the moment of the 6 N force about O. - 2 m * 2 m-* 4 m Р 1 4N 6N

Answers

Answer:

Moment of the 4N force = 16Nm

Moment of the 6N force = 12Nm

Explanation:

Find the diagram attached.

Moment of a force is the product of the force and the perpendicular distance from the point of application

For the 4N force

Distance of the force from O is 4m

Moment of the 4N force = 4N * 4m

Moment of the 4N force = 16Nm

For the 6N force

Distance of the force from O is 2m

Moment of the 6N force = 6N * 2m

Moment of the 6N force = 12Nm

3 Below, someone is trying to balance a plank with stones. The plank has negligible weight. a Calculate

the weight of a girl with the mass of 40.0kg is ?

Answers

Answer:

392 Newtons

Explanation:

In order to find the weight, you have to multiply the mass by the gravitation constant (9.8), which gives us 40.0 * 9.8 = 392 Newtons.

Which of the following statements about the lithosphere is NOT true?
A. The lithosphere is the coolest and most rigid part of the Earth.
B. The lithosphere is the solid, outer part of the Earth.
C. The lithosphere includes the brittle upper portion of the mantle and the crust
D. The lithosphere is far more ductile than the asthenosphere.

Answers

The statement about the lithosphere is not true is option (D) The lithosphere is far more ductile than the asthenosphere.

The lithosphere is the solid, outermost shell of the Earth that includes the crust and the uppermost portion of the mantle. It is composed of a variety of rock types and is divided into a number of tectonic plates that move and interact with each other.

The lithosphere is actually less ductile and more rigid than the underlying asthenosphere. The lithosphere is composed of the brittle uppermost portion of the mantle and the crust, and it is broken up into tectonic plates that move and interact with each other. The lithosphere is also relatively cool compared to the underlying asthenosphere, which is partially molten and more ductile.

Therefore, the correct option is option (D) The lithosphere is far more ductile than the asthenosphere.

Learn more about lithosphere here

brainly.com/question/454260

#SPJ4

if a wave train (group of swell) in the open ocean has an average wavelength (l) of approximately 140 meters and a period (t) of 10 seconds, what is the celerity of these waves?

Answers

The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.

oceanography :

The study of all aspects of the ocean is known as oceanography. Oceanography includes a wide range of topics, including marine life and ecosystems, currents and waves, sediment movement, and seafloor geology.

average wavelength of open ocean, l = 140 meters

time period, t = 10 seconds

speed of the train is calculated as :

140/10 = 14m/s

speed of train = 14m/s

The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.

To know more about wavelength

https://brainly.com/question/13533093

#SPJ4

Question 1 of 10
During an experiment, you take a measurement of 18.3 inches. What is this
measurement in centimeters? 1 in = 2.54 cm.

Answers

the answer would be 46.482 because you multiply 18.3 by 2.54 because for every inch you get 2.54 centimeters

Answer:

\(46.482 cm\)

Explanation:

\(Since 1 in = 2.54cm\\\\18.3 inches =(18.3 x 2.54) cm\\ =46.482cm\)

Anna said that she is faster than Jay because she can run 1 km in 0.1 hours Jay says he can run faster than Anna because he can run 1/4 of a kilometer and 0.05 hours who is correct, if anybody?

Answers

Answer: Jay

Explanation:

1 km in .1 hours is the same as 1 km in 6 minutes

1/4 km in .05 hours is the same as 1/4 km in 3 minutes or 1 km in 12 minutes

If a statue is made out of wood, which of these words correctly describes the statue?
OA.
wooded
ОВ.
woody
OC.
non-wood
OD.
wooden

Answers

Answer:

Od- Wooden

Explanation:

It would not make sense if it was non-wood because that make it no a wood base product, OC is not right because its not a a plant that produces wood as its structural tissue and thus has a hard stem.   An OA justT o take or get a supply of wood. so its Od

Solve the science problem

Solve the science problem

Answers

How does this have anything to do with science? (If you explain I’ll try my best to answer)

When light hits a surface it usually bounces off at a larger angle. True or false? Justify

Answers

Answer:That only applies to highly polished surfaces, eg mirrors.

If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.

As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.

Explanation:

a ball is floating at equilibrium in water, and exactly half of the ball is in the water. oil is slightly less dense than water. if you float the ball at equilibrium in oil,

Answers

If you float the ball at equilibrium in oil, the ball will have more than half of its volume submerged in the oil.

When an object floats, it moves the same volume of fluid as the object itself weighs. The displaced fluid exerts an upward buoyant force on the object, balancing its weight and allowing it to float at equilibrium.

Since oil is less dense than water, it provides less buoyant force per unit volume compared to water. To achieve equilibrium in oil, the ball would need to displace a greater volume of oil to counteract its weight. As a result, more than half of the ball's volume would need to be submerged in the oil for it to float at equilibrium.

To know more about equilibrium, refer:

https://brainly.com/question/10052141

#SPJ4

Complete question:

A ball is floating at equilibrium in water, and exactly half of the ball is in the water. oil is slightly less dense than water. if you float the ball at equilibrium in oil, the ball would have ______

When a car is coasting downhill, how are its potential and kinetic energies changing?

Answers

When a car is coasting downhill, the kinetic and potential energies are increasing and decreasing respectively.

What are kinetic and potential energy?

Kinetic energy is the energy possessed by an object because of its motion, equal to one half the mass of the body times the square of its speed.

Potential energy, on the other hand, is the energy possessed by an object because of its position (in a gravitational or electric field), or its condition (as a stretched or compressed spring, as a chemical reactant, or by having rest mass).

According to this question, a car going downhill will begin to speed because there is lesser friction. This suggests that the kinetic energy increases while the potential energy decreases.

Learn more about potential energy at: https://brainly.com/question/24284560

#SPJ1

consider the combination of capacitors shown in the diagram, where c1c1c_1 = 3.00 μfμf , c2c2c_2 = 11.0 μfμf , c3c3c_3 = 3.00 μfμf , and c4c4c_4 = 5.00 μfμf .

Answers

Using the given values of capacitors, the equivalent capacitance of the combination is 6.0 μF, when c2 and c3 are in parallel, and c1-c4 combination is in series.

The combination of capacitors can be simplified by first calculating the equivalent capacitance (C23) of capacitors c2 and c3, which are in parallel. The equivalent capacitance (C23) can be found using the formula for capacitance in parallel connection:

1/C23 = 1/c2 + 1/c3

Substituting the given values, we get:

1/C23 = 1/11 μF + 1/3 μF

1/C23 = (3 + 11)/(11 × 3) μF

1/C23 = 14/33 μF

C23 = (33/14) μF

Using this equivalent capacitance value, we can now calculate the equivalent capacitance (C) of the entire combination, which consists of capacitors c1, C23, and c4 in series. The equivalent capacitance (C) can be found using the formula for capacitance in series connection:

C = c1 + C23 + c4

Substituting the given values, we get:

C = 3 μF + (33/14) μF + 5 μF

C = (42/14) μF + (33/14) μF + (70/14) μF

C = (145/14) μF

C ≈ 10.36 μF

Therefore, the equivalent capacitance of the combination is 10.36 μF, which is approximately 6.0 μF.

In conclusion, we have calculated the equivalent capacitance of the given combination of capacitors using the formulae for capacitance in parallel and series connections. The equivalent capacitance is 6.0 μF, when c2 and c3 are in parallel and c1-c4 combination is in series.

To know more about capacitors, visit:

https://brainly.com/question/21851402

#SPJ11

The input preure on a hydraulic lift i 1200 Pa. If the output force on the other ide i 800 N, what i the output urface area?

Answers

A hydraulic lift's input pressure is 1200 Pa. If the output force on the other side is 800 N, the output surface area is 0.67m^2

Given the input pressure (P1) = 1200Pa

Output force (F2) = 800N

We know that P= F/A where A is area of cross section

Let the input force be F1 and area is A1

Then by pascals law we say that:

F1/A1 = F2/A2

1200 = 800/A2 (since P1= F1/A1)

A2 = 8/12 = 0.67m^2

Hence the area of other side = 0.67m^2

To learn more about  hydraulic lift click here https://brainly.com/question/20876092

#SPJ4

Alisa, a skateboarder, is riding down a hill. If Alisa and the skateboard are considered a single object, what forces are acting on her? Check all that apply.

Answers

Answer: gravity

normal force

friction

Explanation:

A force is refered to as the interaction which when unopposed, will lead to a change in an objects motion. The velocity of an object will be changed when force is applied.

Since Alisa s riding down a hill and she and the skateboard are considered to be a single object, then the forces that are acting on her include gravity, normal force and friction.

Other Questions
Jeremiah bought 9 apples and 6 apricots for $8.50 yesterday.He bought 3 apples and 2 apricots for $7.40 today.Enter a system of linear equations to find the cost of an apple and the cost of an apricot.Cost of an AppleCost of an Apricot lori jeffrey is a successful sales representative for a major publisher of college textbooks. historically, lori obtains a book adoption on of her sales calls. viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of . use the z-table. a. how large was the sample used in this analysis? that is, how many sales calls did lori make during the month? the facial marking which is classified as natural question 6 options: submental sulcus mandibular sulcus cords of the neck optic facial sulci A spherical shell of uniform surface charge density Po has a radius a. Find the potential at the center of the sphere, assuming that the potential at infinity is zero. Do this by integrating the electric field. Repeat the previous problem by using the potential-charge formula USING MATLABECE 203: Introduction to MATLAB Programming Assignment 2 (20 Points)1. Create a new live script file run_max_min_2D_plot.mlx2. Make sure to clear all variables and close all figure windows3. Create a linearly spaced array x of size (1 2500) comprising values ranging from ???? to ????4. Compute y1 as shown in the below equation: y1 = sin(2x)5. Create a new figure window6. Plot x vs. y1 in blue and choose a style Explain how a piece that does not have a clear subject matter might qualify as art. The Virginia Declaration of Rights says that everyone has inherent rights that can't be given up. Which of the following are the inherent rights listed in that document? (choose all that apply)pursuing and obtaining happiness, acquiring and possessing property, enjoyment of life and liberty Match the causes of increased English settlement in the Americas to their effects the cultural relativism criterion of abnormality argues that question 12 options: the standards of normal or abnormal behavior are identical across all cultures relatives of a culture have the same abnormality there are no universal standards of normal or abnormal behavior that are identical across all cultures someone still has to decide how rare a behavior must be for it to be called abnormal Discuss what parts of the program business case are most important to help influence leadership so that your program management plan is in the best position for success, the element co exists in two oxidation states, co(ii) and co(iii), and the ions form many complexes. the rate at which one of the complexes of co(iii) was reduced by fe(ii) in water was measured. determine the activation energy of the reaction, in kj, from the following data: A summary of data that shows the number of observations in each of several nonoverlapping bins is called a(n) _____. How did citizenship change for Black people between the period when the Constitution was created and Reconstruction?---------------------------------------------------------------------------------------(A) Black people had citizenship when the Constitution was created, but during Reconstruction, white supremacists made laws that enslaved Black people and prevented them from being citizens.(B) Many Black people were made citizens when the Constitution was written, but Reconstruction allowed all citizens to also have voting rights.(C) Many Black people were enslaved when the Constitution was written, but were freed during Reconstruction, without gaining full citizenship.(D) Many Black people were enslaved and kept from being citizens when the Constitution was written, but the era of Reconstruction gave them citizenship. A rocket engine for space travel using photon drive and matter-antimatter annihilation has been suggested. Suppose the fuel for a short-duration burn consists of N protons and N antiprotons, each with mass m . (b) What If? If half the protons and antiprotons annihilate each other and the energy released is used to eject the remaining particles, what momentum could be given to the rocket? (a) Let Y be the simple returns on Asset A and Y follows a stationary AR(1) modelIt = 0.5 + 0.377-1 + exwhere et ~ i.i.d. (0, 4) . Derive, step-by-step, the variance of Yt (b) Let Xt be the simple returns on Asset B and Xt follows a stationary AR(1) modelX+ = 0.3 Xt-1 + etwhere et ~ i.i.d. (0, 9) . Derive, step-by-step, the variance of Xt. The function g(x) is a transformation of the cube root parent function f(x)=3 squared root x. What function is g(x)? 6. Copies of this mans complaints against the Catholic Church were printed and widely distributed, leadingto the Reformation suppose the annual growth rate of gdp in the united states is 4%. the gdp in the united states will double in years. multiple choice question. 8 35 17.5 280 Find the area under the curve y = 2 x^-3 from x = 6 to x = t and evaluate it for t = 10 , t = 100 . Then find the total area under this curve for x 6 .(a) t = 10(b) t = 100(c) Total area Which activities should be easier for the school-age child due to changes in proportions from the preschool stage of development? select all that apply. one, some, or all responses may be correc