Shown is a 10 by 10 grid, with coordinate axes x and y
(Figure 1) .
The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A through D. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified.
What is the x component of A? express your answer to two significant figures.
What is the y component of A?
Express your answer to the nearest integer.
What is the y component of B?
Express your answer to the nearest integer.
What is the x component of C?
In ordered pair notation, write down the components of vector B.
Express your answers to the nearest integer.
n ordered pair notation, write down the components of vector D.
Express your answers to the nearest integer.
What is true about B and D? Choose from the pulldown list below.
.
In ordered pair notation, write down the components of vector D.

Current it draws when it is connected to a 120-V Voltage Source is calculated as 10A.

Electric power (P) of any appliance is defined as the product of the voltage applied on it (V) and the current that flows in it (I).

The rate at which work is done or energy is transferred in an electrical circuit is called electric power or we can also say that it is a measure of how much energy is used in a span of time.

Therefore, P=I*V.

We need to calculate the current and we have the power and the voltage.

Given a heater rated at 1200 W and connected to  120 V voltage source will draw a current of 1200 W / 120 V = 10 A.

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It will take the astronaut approximately 4.74 seconds to reach the ship after she becomes disconnected from the cord.

This is a problem of one-dimensional motion with a constant acceleration, which can be solved using Newton's second law of motion. The acceleration experienced by the astronaut is equal to the force of gravity divided by her mass.

First, let's calculate the force of gravity acting on the astronaut:

F_gravity = m * g

where m is the mass of the astronaut (91 kg) and g is the acceleration due to gravity (9.8 m/s^2 on Earth).

Next, let's calculate the net force acting on the astronaut:

F_net = F_gravity - F_tool

where F_tool is the force exerted by the tool on the astronaut as it is thrown away from the ship (1 kg * 9 m/s = 9 N).

Finally, we can use Newton's second law to calculate the acceleration experienced by the astronaut:

a = F_net / m = (F_gravity - F_tool) / m = (91 * 9.8 - 9) / 91 = 0.89 m/s^2

To find the time it takes for the astronaut to reach the ship, we use the equation for one-dimensional motion with constant acceleration:

d = v0 * t + 0.5 * a * t^2

where d is the distance to the ship (10 m), v0 is the initial velocity of the astronaut (0 m/s), and t is the time elapsed.

Solving for t, we get:

t = sqrt(2 * d / a) = sqrt(2 * 10 / 0.89) = sqrt(22.47) = 4.74 s

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The peak wavelength of energy radiated by a planetary body with a surface temperature near 10°C, like Earth, is around 10 micrometers.

The amount of energy radiated by a body is related to its temperature, and the peak wavelength of that energy is a characteristic of the temperature. The relationship between the peak wavelength and temperature is described by Wien's law, which states that the peak wavelength of energy radiated by a black body is proportional to the reciprocal of its temperature in kelvin.

Since the surface temperature of Earth is around 10°C, or 283 kelvin, the peak wavelength of energy radiated by Earth can be calculated as:

Peak wavelength (in micrometers) = 2.898 * 10^-3 / T

Where T is the temperature in kelvin. Plugging in the temperature of Earth gives us a peak wavelength of around 10 micrometers.

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The closest distance is 8.4*10^-15m.

So for alpha particle The closest distance is 8.4*10^-15m.

The closest distance between two objects is the distance between their centers if they are circumscribing. Objects can be geometric shapes or physical particles with well-defined boundaries. The closest distance is sometimes called the contact distance.

Given the,

Alpha particles have a distance of 11 Mev from near.

KE energy of alpha particles in terms of system potential energy

11*10^6*1.6*10^-19=PE at closest distance

So d= 8.4*10^-15 m

After resolution. The closest distance is 8.4*10^-15m.

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8 degrees Celsius is equal to 46.4 degrees Fahrenheit when converting temperatures from degrees Celsius to Fahrenheit.

Between 32 degrees Centigrade and 41 degrees Fahrenheit, or 0 degrees Celcius with 5 degrees Celcius, should be the temperature of the refrigerator's coldest portion. To determine whether food has been kept warmed (above 63 degrees Celsius) or cold (below 8 degrees Celsius), you might use a probe thermometer.

The most susceptible body parts to frostbite are the fingertips, nose, ears, toes, cheeks, and chin, so use as much protection as you can. How cold is too cold? When the windchill drops below 0 degrees Celsius or the temperature drops below zero, experts generally advise staying inside.

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Using the wavelength of maximum absorption is important in spectrophotometry because it helps to increase the accuracy and sensitivity of the measurement.

The amount of light absorbed by a sample is proportional to its concentration, so spectrophotometry is a useful tool for determining the concentration of a substance in solution. However, not all wavelengths of light are absorbed equally by a sample, and the absorption varies depending on the chemical properties of the substance. By using the wavelength of maximum absorption, the measurement is optimized to detect the maximum amount of light that the sample will absorb, increasing the accuracy of the results. Additionally, using the wavelength of maximum absorption can help to minimize interference from other substances in the sample and improve the sensitivity of the measurement.

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According the diagram, the magnitude of resultant force at A was found to be 1183N.

Calculation:

First, we have to calculate the position vectors of all the point symbols:

Position vector of A= 0i+ 0j+ 6k

Position vector of B= 3i- 2j+ 0k

Position vector of C= 2i+ 3j+ 0k

Vector AB is formed by

Vector AB= Position vector of B - Position vector of A= (3i- 2j+ 0k) – (0i+ 0j+ 6k)= 3i- 2j- 6k

Magnitude of Vector AB= √(i^2+ j^2+ k^2) = √(3^2 +2^2 +6^2)= 7

Univector of AB= UAB = Vector AB/ Magnitude of Vector AB= (3i- 2j- 6k)/7 = 0.429i- 0.28j- 0.857k

Magnitude of force at B= 840N

Cartesian vector form of AB= (Magnitude of force at B)*( Univector of AB)= 840*(0.429i- 0.28j- 0.857k)

Cartesian vector form of AB= 360i- 240j- 720k

Similarly for vector AC,

Vector AC= Position vector of C - Position vector of A= (2i- 3j+ 0k) – (0i+ 0j+ 6k)= 2i+ 3j- 6k

Magnitude of Vector AC= √(i^2+ j^2+ k^2) = √(2^2 +3^2 +6^2)= 7

Univector of AC= UAC = Vector AC/ Magnitude of Vector AC= (2i+ 3j- 6k)/7= 0.286i- 0.429j- 0.857k

Magnitude of force at C= 420N

Cartesian vector form of AC= (Magnitude of force at C)*(Univector of AC)= 420*(0.429i- 0.28j- 0.857k)

Cartesian vector form of AC= 120i+ 180j- 360k

With the two Cartesian vector forms, we can calculate resultant force at A= (120i+ 180j- 360k) + (360i- 240j- 720k)= 480i- 60j- 1080k

Magnitude of resultant force at A= √ (i^2+ j^2+ k^2)= 1183N

Complete question: attached in document

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Charge placed on insulator will spread out over the surface of the insulator : False.

Electrical insulator is a material in which electric current does not flow freely. Material that keeps energy such as electricity, heat, or cold from easily transferring through is insulator and wood, plastic, rubber, and glass are good insulators.

Atoms of the insulator have tightly bound electrons which cannot readily move. Other materials like semiconductors and conductors conduct electric current more easily.

Perfect insulator does not exist as even insulators contain small numbers of mobile charges which can carry current. All insulators become electrically conductive when sufficiently large voltage is applied that electric field tears electrons away from the atoms.

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Due to the possibility of error, experimental measurements do not give the true value of a physical quantity

Experimental measurements are always subject to error, and as a result, they do not give the "true" value of a physical quantity. Instead, experimental measurements provide an approximation of the true value, which is influenced by many factors such as the precision and accuracy of the measurement apparatus, environmental conditions, and observer bias.

In conclusion, experimental measurements do not give the true value of a physical quantity, but they provide an estimate of its value with associated uncertainty, which is useful for making predictions and testing scientific theories.

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w1 and wr are the angular velocities will be the correct answer .

What is Distance ?

Distance is a scalar quantity that describes the amount of space between two points. It is usually measured in units of length, such as meters, kilometers, or miles. Distance can be calculated as the magnitude of the displacement vector, which is the difference between the initial and final positions of an object.

In physics, distance can be used to describe the length of a physical object, the distance between two points in space, or the length of a path taken by an object. In mathematics, the concept of distance is often used in geometry and can refer to the length of a line segment, the shortest distance between two points, or the distance between two shapes.

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B

Explanation:

I suggest option B for you but you could research more on it

The given statement "an experiment must have a placebo group in order to be valid" is not true because not all experiments require a placebo group in order to be considered valid.

A placebo group is used in some experimental designs to control for the placebo effect, where a participant's expectations or beliefs about a treatment can influence the outcome. However, there are many other experimental designs that do not require a placebo group, such as observational studies, crossover studies, and randomized controlled trials. The appropriate design depends on the research question being asked and the type of treatment being tested.

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The direction of the electric field at point "A" is from left to right and the direction of the electric field at point "B" is from right to left. The direction of the electric field at point "C" is downward.

The electric field is a field that describes the force experienced by a charged particle due to the presence of other charged particles or electric charges. The electric field is a fundamental concept in electromagnetism and is used to understand and predict the behavior of charged particles in various situations.

Electric field lines are used to represent the direction of the electric field. They are lines that start from positive charges and end at negative charges. The direction of the electric field at any given point is the direction in which a positive test charge would be pushed if placed in the field. The closer the electric field lines are together, the stronger the electric field is in that region.

The electric field can be caused by a variety of sources, including point charges, distributed charges, and electric dipoles. The electric field can also be influenced by other factors such as conductors, insulators, and dielectrics.

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The tidal datum or zero tide used along the California Coast is the mean higher low water.

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The requried, value of y at x = 10 cm is zero (implies the object is at rest).

To provide the value of y at x = 10 cm and t = 1.5 s, we need additional information about the specific equation or function that relates y and x, as well as any given initial conditions or boundary conditions.

From the given graph, it can be seen that,
At x = 10; y = 0 (implies object is at rest)

This describes the situation in that the object whose positions have shown through the graph is at rest at x = 10 (velocity becomes 0).

Thus, the requried, value of y at x = 10 cm is zero.

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Answer:

H = V0 t - 1/2 g t^2        height (from top of building) after t sec

H = 25 * .25 - 9.8 / 2 * .25^2 = 5.94 m

H = 6 m after .25 sec and the total height is 36 m

h =36 m above ground

The elevation of the stone following 0.25 seconds is 36 meters above the ground, as shown by the question.

To separate the enzyme's impact from the uncatalyzed action. Since enzymes are permanently destroyed throughout catalysis, it is necessary to determine the reaction's rate with a known [E]T. to calculate the reaction's speed using a given [S] before it starts to alter noticeably over time.

H = V0 t - 1/2 g t^2       height (from top of building) after t sec

H = 25 * .25 - 9.8 / 2 * .25^2 = 5.94 m

H = 6 m after .25 sec and the total height is 36 m

h =36 m above ground

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Experimental measurements don't necessarily reflect a physical quantity's genuine value. The ideal or theoretical value of a physical quantity, which is never perfectly measurable in reality, is that quantity's true value.

When a physical quantity is measured, it is always subject to a variety of causes of error, including the constraints of the measuring device, the environment, operator error, and random fluctuations.

The most that can be done is an estimation of the true value, which is expressed as a measured value with a corresponding uncertainty. The range of values that can be logically regarded as the actual value of the quantity being measured is reflected in the uncertainty. The accuracy of the measuring device, the operator's expertise, and the repeatability of the measurement process are all elements that influence the measurement's uncertainty. In conclusion, experimental measurements provide an estimate of a physical quantity's real value rather than the actual value.

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Answer:

the combined speed of the two railroad cars after the collision is 4/3 m/s.

Explanation:

The combined speed of the two railroad cars after the collision can be calculated using the conservation of momentum principle.

Let's assume the combined speed of the cars after the collision is v'. Then, using the equation for momentum, p = m * v, where m is the mass of each car and v is the velocity of each car, the momentum of each car before and after the collision can be calculated as:

Before the collision:

m1 = 4000 kg, v1 = 2 m/s

p1 = m1 * v1 = 4000 kg * 2 m/s = 8000 kg m/s

After the collision:

m2 = 6000 kg, v2 = 0 m/s

p2 = m2 * v2 = 6000 kg * 0 m/s = 0 kg m/s

Since momentum is conserved, the momentum before the collision must equal the momentum after the collision:

p1 = p2

So,

8000 kg m/s = 6000 kg * v'

Solving for v', we find that:

v' = 8000 kg m/s / 6000 kg = 4/3 m/s

Therefore, the combined speed of the two railroad cars after the collision is 4/3 m/s.

A negative charge will move: A. from low to high potential if it is released into a steady electric field.

The Greek word "elektron" is where the word "electricity" originates. Amber, a golden or reddish-brown stone used in jewelry, is the definition of the term electron. Rubbing amber caused it to produce an electrical charge that made it possible to lift lightweight materials like straw and feathers.

How to effectively use the word "electric" This week, I paid the power and water bills. He was riding his electric bike around, so I know it's him. Her heart began to race as a result of his touch, which felt electrifying.

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Let V = {0} consist of a single vector 0, and

define 0+0 = 0 and c0 = 0 for each scalar c in the

field F.

There are two operations on the set. All we have is

must validate each of the eight axioms.

VS1. The addition of commutativity. Indeed, x+y does

given that both are 0 and the sole vector in

the area.

The same justification holds true for VS2 and

from VS5 to VS8. Each axiom is a formula that

claims that one vector is equivalent to another, but since

only one vector, 0, is present, and both sides have it.

to act as the vector.

Axiom VS3 is slightly unique in that it states

that a vector 0 has a specific characteristic

However, V contains a vector of this type, namely 0. Likewise

Axiom VS4 states that there is a vector y for every vector x.

for x + y to equal 0.

Assume that y is 0, and that equation is true (since all vectors equal 0).

It is a vector space over F as a result.

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The sound intensity level 600m from the siren in db is 0.001w/m² if the sound intensity 60 m from tornado is 0.10w/m².

Sound intensity, otherwise called acoustic power, is characterized as the power conveyed by sound waves per unit region toward a path opposite to that area. The SI unit of sound intensity, which incorporates sound force, is the watt per square meter (W/m²). One application is the commotion estimation of sound power in the air at an audience's area as a sound energy amount.

We know that power output is given =4π×I×r² where I is the sound intensity,and r is the distance upto which sound radiates.

So,firsly we find power output because it will remain same.

So,P=4×π×0.10×60×60--------(eq1)

Now,we need to find sound intensity using the above equation,so,we get

=>P=4×π×I×600×600

=>4×π×0.10×60×60=4×π×I×600×600

=>I = (4×π×0.10×60×60) / 4×π×I×600×600

=>I=0.1/100

=>I=0.001w/m².

Hence,sound intensity level is 0.001w/m².

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To calculate grams to atoms are mentioned below.

What is atom?

A substance's tiniest component that cannot be destroyed chemically. A proton (a positive particle) and a neutron (a neutral particle) make up the nucleus (center) of each atom (particles with no charge). The nucleus is filled with negative electrons. Chemical reactions cannot generate or destroy atoms since they are indivisible particles. The mass and chemical makeup of an element's atoms are the same. The masses and chemical characteristics of atoms differ amongst elements.

What is gram ?

The International System of Units (SI) defines the gramme as one thousandth of a kilogramme of mass. The gramme was the name given to it at first. This cap for a pen weights about one gramme.

Therefore, calculate grams to atoms are mentioned below.

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The density of mercury is 13,600 kg/m³.

The density of a substance is the ratio between the mass of a substance to the volume of the substance. The specific gravity of a substance or relative density of a substance is the ratio between the density of a substance to the density of water.

SG of a substance = ρ of a substance ÷ ρ water

The specific gravity of a substance is also the ratio of the mass of a substance to the mass of water. The volume of a substance is equal to the volume of water.

SG mercury = ρ mercury ÷ ρ water

13.6 = ρ mercury ÷ 1,000

ρ mercury = 13.6 × 1,000

ρ mercury = 13.600 kg/m³

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The required amount of power dissipated across the winding is calculated to be 60 W.

The resistance of the dc motor is given as (R) 240 ohms.

The voltage across the winding (V) is 120 v.

From ohm's law, we know that, mathematically, V = i R

Substituting the above values into the equation, we have,

V = i R

i = V/R = 120/240 = 1/2 A

The expression for power dissipated is known to be,

P = i² R

Putting the values into the above equation, we have,

P = i² R = (1/2)² 240 = 60 W

Thus, the amount of power dissipated across the winding is 60 W.

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50 joules and 100 joules will be kinetic energy at half-way down the ramp and at the bottom the ramp respectively  assuming there is no friction.

What exactly is the law of conservation of energy ?

According to the rule of conservation of energy, energy cannot be created or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.

If an object contains 100 joules of potential energy at point an in the beginning, then at point b, the object's kinetic energy will be deducted from the 100 joules of potential energy that were initially there. This is due to the fact that no new energy will be created or lost as the potential energy is converted to kinetic energy.

P.E + K.E = 0

At half-way down the ramp , P.E will be 100/2 i.e. 50joules

At the bottom the ramp, P.E will be Equal to K.E i.e. 100joules.

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The lawn mover is exerting a force of 30 N on the man.

Given, a man weighing 60 kg is moving a 30 kg lawnmower.

Thus, the lawnmower's force is calculated as 30N - 60N = -30N.

A force is something that pushes or pulls an object. The objects' interactions with one another are what causes push and pull. Force can also be expressed using words like stretch and squeeze.

Force is an external agent that has the power to alter a body's resting or moving state. It has a size and a movement.

The direction of the force is referred to as the force's direction, and the application of force is the point at which the force is applied.

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The M9 service pistol failing to eject the cartridge is called Stovepipe.

When an empty cartridge case gets caught partway out of the ejection port instead of being thrown clear, it causes a stovepipe or smokestack in bolt-action, pump-action, semi-automatic, and fully automatic firearms that fire from a closed bolt.
Stovepipes are caused by insufficient cycling and incomplete ejection. Possible causes include: "Limp-wristing" is the practise of holding the gun so loosely that it almost points straight up during recoil. This prevents the slide from fully cycling.
The round was not loaded with enough powder to properly cycle the action, and the empty shell is now trapped between the slide and the chamber. The grip on the gun was insufficient to keep it steady as the action cycled after the shot.

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The tank will contain 350 lb of salt when it is full of brine.

Let x be the amount of salt in the tank when it is full.

Then:

x = 50 + 1 * (400 - 100) = 50 + 300 = 350 lb

So, the tank will contain 350 lb of salt when it is full of brine.

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The electric field at the center of the square when three sides of square have a charge of 4 coulomb will be zero.

This is because the electric fields from each side of the square will cancel each other out. The electric field of a single side of the square is given by the equation E = q/4πεr, where q is the charge, ε is the permittivity of free space, and r is the distance from the center of the square. Since the distances from the center of the square to the sides are all equal, the electric fields from the sides will be equal in magnitude and opposite in direction, meaning that the net electric field at the center of the square will be zero.

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A small metal sphere with charge 1.2×10−5C is touched to an identical neutral sphere and then placed 0.15m from the second sphere. 3.33 x 10^-7 N is the electric force between the two spheres.

The electric force between two charged spheres can be calculated using Coulomb's equation, which states that the force between two point charges is directly proportional to the product of the inversely proportional to the square of the separation between them and charge.

=> F = k.q1.q2 ÷ r^2

here F is force between the two spheres,

k is Coulomb constant (8.99 x 10^9 N x m^2 / C^2),

q1 and q2 are magnitudes of charges on two spheres,

r is distance between their centers.

In this case, the two spheres have charges of

=> q1 = 1.2 x 10^-5 C

=> q2 = 1.2 x 10^-5 C,

they are separated by a distance of,

=> r = 0.15 m.

=> F

= k x q1 x q2 / r^2

= 8.99 x 10^9 N x m^2 / C^2 x 1.2 x 10^-5 C x 1.2 x 10^-5 C / (0.15 m)^2

= 3.33 x 10^-7 N

Hence, the electric force between the two spheres is 3.33 x 10^-7 N.

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