vector a has a length of 9 units and is directed to the north. vector b has a length of 4 units and is directed to the south. calculate the magnitude and direction of (a b) group of answer choices

It is known as earthing or grounding when a charged object is connected to the earth with a conducting wire so that the charge from the object flows to the earth and the object becomes electrically neutral.

Any positive or negative charge that was previously present on a charged conductor flows to Earth when it is connected to ground, neutralizing it completely and reducing any electrical potential it previously had to zero.

A grounded conductor has the ground's potential, which is thought to be zero. It does not, however, imply that the charge on this conductor will also be zero.

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Answer:

Explanation:

you got that wrong it is  a 0.4

Answer:

Explanation:

there must be a cause—which is a net external force—for there to be any change in velocity, either a change in magnitude or direction.

It is not safe to leave the car between the blue signal and the clearance point on track 2 as it obstructs the view of the blue signal.

Leaving a car between the blue signal and the clearance point on track 2 will obstruct the view of the blue signal, which is not a safe practice. The blue signal indicates that there is a train or another obstruction on the track, and it is there to protect the safety of the train crew and the passengers. Obstructing the view of the signal can lead to collisions or other dangerous situations. It is important to follow the proper procedures and ensure that all signals are clear before leaving a car on a track. It is recommended to look for a safer location to leave the car, one that does not obstruct the view of signals or clearance points.

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The backward finite difference method for estimating the derivative at x=0.5 is:

(f(0.5) - f(0.25)) / (0.5 - 0.25) = (-0.14 - (-0.4025)) / (0.5 - 0.25) = 0.2625 / 0.25 = 10.5

The percent error between this estimate and the true value is:

|(10.5 - (-0.9125)) / (-0.9125)| * 100% = |11.4125 / (-0.9125)| * 100% = 12.48%

The forward finite difference method for estimating the derivative at x=0.5 is:

(f(0.75) - f(0.5)) / (0.75 - 0.5) = (-0.6275 - (-0.14)) / (0.75 - 0.5) = -0.4875 / 0.25 = -1.95

The percent error between this estimate and the true value is:

|(-1.95 - (-0.9125)) / (-0.9125)| * 100% = |-1.0375 / (-0.9125)| * 100% = 1.14%

The centred finite difference method for estimating the derivative at x=0.5 is:

(f(0.75) - f(0.25)) / (0.75 - 0.25) = (-0.6275 - (-0.4025)) / (0.75 - 0.25) = -0.225 / 0.5 = -0.45

The percent error between this estimate and the true value is:

|(-0.45 - (-0.9125)) / (-0.9125)| * 100% = |0.4625 / (-0.9125)| * 100% = 0.51%

To get the same percent error as the centred finite difference, we would have to use a step size of ∆ = 0.125.

This is because a smaller step size means a smaller difference between the estimates and the true value, and therefore a smaller percent error.

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The electrostatic force on such a 40-UC charge put at the origin reaches 27 newtons throughout magnitude.

Electrostatic force includes a combination of attracting and repulsive force created through electric charge particles. It can also be referred to as Columb's force. The Columb attraction might be called after French scientist Charles-Augustin de Coulomb. Electrostatic force, on the other hand, represents one of nature's four basic forces.

Dirt sticking to clothes as well as walls is an example of the effect of electrostatic forces upon fine particle adhesion. Electrostatic forces become relevant in general while particle material provides electrically insulating, allowing the electric charge to be retained.

Force on 40 uC by Q = k[tex]Q_{1} Q_{2}[/tex] / R^2

               = 9×10^9×40×10^-6×60×10^-6 / 2^2

               = 5.4 N ( positive x-direction)

Force on 40 uC by -60 uC = 9×10^9×40×10^-6×60×10^-6 / 1^2

                                            = 21.6 N (negative x-direction)

net force will be equal to the 5.4 + 21.6which will be equal to the  27 N

so net force on 40 uC at origin will be 27 N (to the right).

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The number of revolutions per second that the electron makes is equal to the frequency, or 1.22 x [tex]10^{14}[/tex] revolutions per second.

The number of revolutions per second that an electron makes in a circular orbit around a stationary proton in a simple model of the hydrogen atom can be calculated using the formula

v = (2πr)/T, where v is the velocity of the electron, r is the radius of the orbit, and T is the period of the orbit. Using this formula and the given radius (0.053nm), we can calculate the velocity of the electron to be 2.45 x [tex]10^{6}[/tex] m/s.

Since the period of a circular orbit is equal to one over the frequency, we can calculate the frequency of the electron's orbit to be 1.22 x [tex]10^{14}[/tex] Hz.

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Ingrid uses a technique called "skate-skiing" where she holds one ski  in a V-shape in the opposite direction while pushing the other.

A technique is a way to accomplish a task or solve a problem. This may involve a specific step-by-step process or a more general approach, drawing on your individual knowledge and skills.

Techniques include physical acts, mental processes, or both.  Examples of techniques include using a hammer to hammer nails, using certain equations to solve math problems, and using certain types of meditation to relax.

The goal of any technique is to make the task easier, faster, or more accurate. This allows skiers to move over the snow without actually skiing in the traditional way. This technique is often used in areas of deep, soft snow that are not suitable for traditional skiing.

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The electric field strength in between the two charged rings is 6.6 x 10^6 N/C.

This can be calculated using the equation for electric field strength (E) which is E= Q/4πεr^2.First, we need to determine the charge Q on each of the rings. Since both rings have a diameter of 10 cm, the radius of each ring is 5 cm.

We can calculate the charge on each ring using the equation Q = εAr, where ε is the permittivity of free space (8.85 x 10^-12 C2/Nm2), A is the surface area of each ring (πr2), and r is the radius of each ring (5 cm). This gives us a charge of 20 nC.

Next, we can calculate the electric field strength using the equation E= Q/4πεr^2. This gives us a value of 6.6 x 10^6 N/C for the electric field strength between the two rings.

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The iron filling's mass is equal to 0.38 x 0.7 x 8 x 102 kg.

5,023,360 J of heat are absorbed.

This question uses the rule of conservation of energy, which states that energy cannot be created or destroyed but can only be transformed from one form to another.

In this instance, the energy is changed from kinetic energy (force) to thermal energy (heat) (motion of the iron particles).

Mass of iron filling is calculated as follows: Volume of box x Fill Ratio x Iron Density

= 0.38m² x 0.7 x 8 x 10²

= 22.08 kg

Amount of heat absorbed = Mass of the iron filler x Iron's specific heat capacity x (Temperature of Iron - Temperature of Box)

= 1.500° to 25°C x 22.08 kg x 460 Jkg-14k-1

= 5,023,360 J

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174 nitrogen bases would be present in a polypeptide containing 57 amino acids.

3 nitrogenous bases are needed to code one amino acid. So 57 * 3 = 171 amino acids are needed to code 57 amino acids and three nitrogenous bases at the end will code for the stop codon that will stop the formation of the amino acid chain.

A chain containing around 20 or more amino acids that are joined to each other by peptide bonds is called polypeptide.

The building blocks of proteins are called amino acids.

A sequence of three nitrogenous bases that codes for a particular amino acid is called a codon.

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Answer sunlight, water and carbon dioxide

Explanation:

Plants absorb sunlight, water and carbon dioxide for photosynthesis, using solar energy to split the water molecule into hydrogen and oxygen and power a chemical reaction that assimilates carbon dioxide, producing carbohydrates used to fuel the plants' survival.

The greater the force or the smaller the area the greater the pressure.

A force is said to be applied when an object pushes or pulls. The objects' interaction results in push and pull. To describe force, you can also use terms like squeeze and stretch. In physics, a force is defined as:

An object with mass experiences a push or pull, which modifies its velocity. The Force can be computed using a spring balance. The SI unit of force is the Newton (N).

Force x Area Equals Pressure Without any change in the force, the pressure can be increased and decreased since it depends on the region over which the force is acting. If the force applied remains constant, decreasing the surface will increase pressure, and vice versa.

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The power delivered to the headlight is 460.8 Watts.

Power is the ability to influence others and to control resources, people and situations. It is a central concept in politics, economics and social studies, and is often defined as the ability to determine the behaviour of others.

The total energy delivered by the battery over the 8-hour discharge period can be calculated as follows:
Energy = Power x Time
Energy = 460.8 Watt-hours
To calculate the power delivered to the headlight, we first need to know the current being drawn by the headlight. Assuming that the headlight is a 12V bulb, the current can be calculated as follows:
Power = Voltage x Current
460.8 = 12V x Current
Current = 38.4 Amps
Therefore, the power delivered to the headlight is 12V x 38.4A = 460.8 Watts.

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Answer:

The momentum of an object is equal to its mass multiplied by its velocity. So, even though a bug typically has much less mass than an airplane, if it is moving at a high velocity its momentum will be greater than the airplane at rest.

This is because momentum is a measure of an object's "inertia," or its resistance to changes in motion. An object with a high velocity has a greater tendency to keep moving in the same direction, whereas an object at rest has no velocity and therefore no tendency to move.

So, even though the airplane has a much greater mass than the bug, the bug's high velocity gives it a greater momentum.

When a person 2.1 m tall stands 0.91 m from a reflecting globe in a garden. part a if the diameter of the globe is 16 cm, The Image distance (v) -3.09 m is the image of the person, relative to the surface of the globe.

The distance between the object and the thin lines istermed as the image distance. The image distance is the separation between the picture and the narrow lens. A feature of a narrow lens is its focal length, which specifies the distance at which parallel rays come into focus.

Given:

Height of man 2.4M

distance from globe of man =0.91m

diameter of globe =16cm; then r=8cm=0.08m

Now with above info the focal length of globe will be

f=r/2

f=0.08/2

f=0.04m

Now to find the image distance use following lens equation

1/f=1/u*1/v

1/0.04=1/0.91+1/v

Solving above we get

v=-3.09 m

hence, the distance of image will be -3.09 m relative to the surface of the globe

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The moment of inertia of the three-mass system about the new axis is:4.96 kg m2.

Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is the sum of the products of the mass of each particle in the object and the square of its distance from the axis of rotation. It is also known as the angular mass or rotational inertia. The moment of inertia depends on the shape, size, and mass distribution of the object. It is an important property in the study of rotational motion.

The moment of inertia of a system of three masses about a new rotation axis passing through x0 is calculated using the following equation:

I = m1*(d1^2) + m2*(d2^2) + m3*(d3^2)

where m1, m2 and m3 are the masses of the three masses and d1, d2 and d3 are the respective distances from x0.

In this case, m1 = 1 kg, m2 = 1 kg, m3 = 1 kg, d1 = 1.4 m, d2 = 2 m, and d3 = 2 m.

Therefore, the moment of inertia of the three-mass system about the new axis is:

I = 1*(1.4^2) + 1*(2^2) + 1*(2^2)

I = 4.96 kg m2

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The 70th percentile of distribution of stopping distances is 130.4 feet.

Standard deviation is a measure of how dispersed the data is in relation to mean.

Given that tests showed new tread pattern enables the cars to stop completely in an average distance of 125 feet with standard deviation of 6.5 feet,

As, Z is (x - mean) / standard deviation

Where x is 70th percentile and mean and standard deviation are provided

So, x = mean + Z * standard deviation

The Z-score for the 70th percentile is 0.84, and is found using a table of standard normal distribution

So, x = 125 + 0.84 * 6.5

x = 130.4 feet

Therefore,  70th percentile of the distribution of stopping distances is 130.4 feet.

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A macromolecule that can exist as linear or cyclized, where it has a polar "head" group and a majority nonpolar "tail" group is lipid.

Fats, waxes, sterols, fat-soluble vitamins, monoglycerides, diglycerides, phospholipids, and other naturally occurring molecules are included in the large class of molecules known as lipids. Lipids have a variety of uses, including energy storage, signaling, and serving as structural elements of cell membranes. Small molecules that are hydrophobic or amphiphilic can be widely referred to as lipids. Some lipids can form vesicles, multilamellar/unilamellar liposomes, or membranes in an aqueous environment due to their amphiphilic nature. Ketoacyl and isoprene groups, two different kinds of biochemical "building-blocks," are the source of all or a portion of biological lipids. This method allows for the classification of lipids into eight different groups: sterol lipids, prenol lipids, glycerolipids, sphingolipids, and polyketides (formed by condensation of ketoacyl subunits) (derived from condensation of isoprene subunits).

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The correct options are:

-The time of the jump increases when g is smaller.

-The displacement increases with the increased time of the jump.

Gravity is the force by which a planet or other body draws objects toward its center. The force of gravity keeps all of the planets in orbit around the sun. Earth's gravity is what keeps you on the ground and what makes things fall.

The strength of gravity depends on two things: the mass of the object doing the pulling and the distance between the objects. The more massive an object is, the stronger its gravitational pull. The farther apart two objects are, the weaker their gravitational pull. The force of gravity is described by the law of universal gravitation.

Therefore, The correct options are:

-The time of the jump increases when g is smaller.

-The displacement increases with the increased time of the jump.

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The timing of the protest in Letter From Birmingham Jail continued to change because the leaders of the Civil Rights Movement did not want to interfere with the mayoral election that was taking place at the time.

They believed that by staging their protest during the election, they would be seen as trying to influence the outcome and would be viewed as partisan rather than non-partisan. Additionally, they felt that it would be more effective to wait until after the election to hold their protest, as it would be less likely to be dismissed as politically motivated. By not interfering with the mayoral election, the leaders of the Civil Rights Movement were able to maintain their credibility and ensure that their message would be heard more clearly by the public.

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"According to current scientific thinking, the solar system that contains earth formed by solar nebula."

Our Solar system formed from solar nebula.

The solar system was once a concentration of gas and materials like dust that was formed a big swirling disk of gaseous cloud called Solar nebula.

The core of the Solar nebula was so concentrated and dense that is created large body of hydrogen and helium gas called the Sun.

The solar nebula's Sun served as its centre, and other planets developed around it from gases and dust.

Thus, according to current scientific thinking, the solar system that contains earth formed by solar nebula.

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Temperatures at the same point in the atmosphere can vary for different locations due to a variety of factors, such as latitude, altitude, local geography, and weather patterns.

what is  atmosphere ?

Atmosphere is the thin layer of gases that surrounds the Earth and other planets. It is composed mostly of nitrogen (78%), oxygen (21%), argon (0.93%), and other gases in trace amounts. The atmosphere also contains water vapor, which helps regulate Earth’s temperature.

The atmosphere plays a vital role in maintaining the Earth’s habitability, as it helps to protect life from ultraviolet radiation from the sun, moderates temperatures, transports water vapor, and produces weather. It also serves as a repository for the greenhouse gases that regulate the planet’s energy balance. The atmosphere also contains aerosols, particles of dust and other pollutants, which can affect air quality and human health.

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The Honda will finish the race first by 0.1 s.

The given parameters:

Distance, d = 200 m

Acceleration of the Porsche = 3.5 m/s²

Acceleration of the Honda, = 3.0 m/s²

Let the initial speed of each car = 0

The time of motion of the cars is calculated as follows;

[tex]s=v_{0}+\frac{1}{2}at^{2}\\ s=0+\frac{1}{2}at^{2}\\ = > s=\frac{1}{2}at^{2}[/tex]

[tex]t=\sqrt{\frac{2s}{a} }[/tex]

Motion refers to a change in the position of an object with respect to its surroundings in a given period of time. It can be described by its displacement, velocity, and acceleration.

Motion can be uniform, non-uniform, linear, circular, or a combination of these types. The study of motion and its causes is called mechanics.

The time for Porsche;

[tex]t=\sqrt{\frac{2s}{a} }\\[/tex]

=> [tex]t=\sqrt{\frac{2X200}{3.5} }\\ = > t= 10.7 sec[/tex]

The time for Honda;

[tex]t=\sqrt{\frac{2s}{a} }\\\\\\= > t=\sqrt{\frac{2X200}{3} }\\ = > t = 10.6 sec[/tex]

Thus, the Honda will finish the race first by 0.1 s.

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(a) The original size of the footprint made by each tire in August is 16 in².

(b) The footprint or pressure increases with increase in the number of tires.

The footprint made by each tire is calculated by applying the following equation as shown below.

A = ( 1920 lbs ) / ( 30 lbs/in² )

A = 64 in²

The above result is for the four tires, the footprint for a tire is calculated as follows;

4 tires =  64 in²

1 tire = 64 in² / 4 = 16 in²

Ideal gas law equation is given as; PV = nRT

where;

In this case the number of tires of tires stand for number of moles of the ideal gas, and the pressure of the gas increases with increase in the number of moles. Thus, the footprint or pressure increases with increase in the number of tires.

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When an increase in kinetic energy (K.E.) takes place an object moves at its maximum speed or velocity. And also inner molecules of any object produces a lot of vibrational energy.

When the kinetic energy of an object increase, it means that the object is moving at a faster speed or has a greater velocity. This can happen in a few ways:

1. An external force is applied to the object, causing it to accelerate and increase its velocity. For example, if a car is pushed from a standstill, its kinetic energy will increase as it moves faster.

2. The object is free falling and it's velocity is increasing due to gravity. As the object falls, its kinetic energy increases as its velocity increases.

3. The object is moving in a circular path and it's velocity is increasing due to centripetal force, as the object's velocity increases its kinetic energy also increases.

4. An object can gain kinetic energy by the transfer of energy from another object, such as in a collision.

It is also important to note that an increase in kinetic energy also increases the potential of danger, as the object can cause more damage if it collides with something else at a higher velocity.

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What makes artificial selection different from experimental evolution is that during artificial selection, researchers choose which features to prioritize and then breed from the most ideal candidates. In experimental evolution, scientists construct an ecosystem in which natural selection can take place.

Experimental evolution allows for the scientific study of natural selection. However, the level of complexity is really high. Natural selection hypotheses can be tested by maintaining a stable environment and set of genes. Experiments can be run for more than 100 generations to see if beneficial mutations emerge at high frequency, testing the longevity of these hypotheses by changes to the environment or the genetics of the population.

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The 2-kg cart will not move away at a higher velocity.

It is the 3-kg cart that will move away at a higher velocity. This is because the momentum of the two carts is equal, and momentum is equal to mass times velocity (p = mv). So, the 3 kg cart has more mass and therefore must have a lower velocity in order to have the same momentum as the 2 kg cart. When the spring compresses and the carts move apart, the 3-kg cart will have more kinetic energy to gain and thus will move away with a higher velocity.

This can be understood by considering the conservation of momentum, which states that the total momentum of a closed system remains constant. Since the momentum of the two carts is equal before the spring expands, the momentum of the two carts will be equal after the spring expands, but the 3 kg cart will have a higher velocity and the 2 kg cart will have a lower velocity.

This question is incomplete and should be written as:

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