if a 2000-kg car traveling at 30 m/s hits a wall and comes to a complete stop in 0.03 seconds, how much force was applied to the car?

Answer:

A

Explanation:

It is based on the theory of J. J. Thomson

The choices below correctly lists things in order from largest to smallest, is D) universe, local group, milky way, solar system.

The universe is the largest structure in existence, followed by the local group of galaxies (which contains our Milky Way), followed by the milky way itself, and finally the solar system which is the smallest structure.

In terms of scale, the universe is far larger than any other structure, containing billions of galaxies and stars within it. The local group is a cluster of galaxies containing around 54 galaxies, of which our milky way is one. The milky way is itself a large collection of stars and planets, including our solar system which contains the planets and moons of our own solar system. So, in summary, the correct ordering from largest to smallest is Universe, Local Group, Milky Way, Solar System.

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The correct free body diagram that describes the forces on the rock when the string is in one possible horizontal position is B.

As the rock swings in a vertical circle, there are a number of forces acting upon it. These forces are gravity, tension and centrifugal force. When the rock is in a horizontal position, its weight will be perpendicular to the tension force. This makes the tension force the only force acting upon the rock in the horizontal position.

As a result, the correct free body diagram that describes the forces acting on the rock when the string is in one possible horizontal position is B.

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On the surface of Jupiter, you would have the largest acceleration as it has the largest gravity, where a body with mass 50kg and force 100 N would experience an acceleration equal to 2 m/s². in general.

We are given that,

Force, F = 100N

Mass, m = 50 kg

According to Newton's second law of motion, force is gievn as the product of mass and acceleration, thus:

Acceleration, a = F/m

= 100/50

=2 m/s².

Thus, in general, an object with mass 50 kg and force applied as 100 N would have an acceleration equivalent to 2m/s².

On Earth, the gravitational force of the planet causes falling objects to accelerate by 9.8 m/s2, or 1 g. The best approach to explain the gravitational force on other planets is to express it as a percent of Earth's g-force.

As the largest planet, Jupiter should have the strongest gravitational pull, and this is really the case. Thus, an object would face the largest acceleration due to gravity on the planet Jupiter.

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Two forces act on a monkey hanging stationary by a vertical vine: gravity and the tension of the vine. Gravity is the greater force in this situation because it is a constant force that acts downwards.

The two forces that act on a monkey hanging stationary by a vertical vine are tension and gravity. The tension force acts along the vine and pulls the monkey upwards, while the gravity force acts downwards towards the center of the Earth.
If the monkey is stationary, then the two forces are equal in magnitude and opposite in direction. This is because the tension force is balancing the gravity force, resulting in no net force acting on the monkey.

Therefore, if neither of the forces are greater than the other as they are equal in magnitude and opposite in direction.What is tension force?The force exerted by a string, rope, chain, or similar object on another object that it is connected to is referred to as tension. The tension is always directed along the length of the string and away from the object's surface that the string is attached to. When an object is suspended from a rope, the tension force on the rope is equal to the weight of the object (due to gravity), and this tension force is transmitted through the rope to any other objects that the rope is attached to.

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The vertical speed of a segment of a horizontal taut string through which a sinusoidal, transverse wave is propagating depends on both the wave speed and the amplitude of the transverse wave.

The transverse wave and wave speed for vertical speed of a segment also depends on factors like:

        where 'A' is the amplitude of the transverse wave,

        'ω' is the angular frequency of the wave,

         't' is the time, and

        'cos' is the cosine function.

        where 'T' is the tension in the string and

         'u' is the mass per unit length of the string.

So while the wave speed does not directly determine the vertical speed of a segment of the string, it does affect the angular frequency of the wave (which is related to the wave speed) and thus indirectly affects the vertical speed of a segment of the string through the amplitude of the wave.

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The chemical energy of the rechargeable battery is reduced by 27 joules when a 3.0 A current is set up in the circuit for 3.0 minutes.

This can be calculated by multiplying the battery's emf, 9.0 V, with the amount of current, 3.0 A, and the time it was set up, 3.0 minutes, to get the amount of electrical energy in joules (J):

E = I x V x t
 = 3.0 A x 9.0 V x 3.0 min
 = 81 J

The chemical energy of the battery can be calculated by subtracting the electrical energy from the total energy of the battery, which is 108 J. Thus, the chemical energy of the battery is reduced by 27 J when the current is set up in the circuit:

E(chemical) = E(total) - E(electrical)
                  = 108 J - 81 J
                  = 27 J

In conclusion, the chemical energy of the battery is reduced by 27 joules when a 3.0 A current is set up in the circuit for 3.0 minutes.

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In parallel circuits, when all resistors are of equal value, the total resistance is equal to the value of one individual resistor  C. divided by the number of resistors.

The electrical circuits come in two primary forms - series and parallel. A parallel circuit is defined as a circuit in which the resistors are arranged in a way that they have the same potential difference or voltage across them. This implies that every component of the circuit gets the same amount of voltage. The basic principle of a parallel circuit is that every resistor gets the same amount of voltage.

When the voltage of the circuit is calculated, each component of the circuit has the same voltage. The voltage rating of each component is identical in a parallel circuit. According to Ohm's law, the resistance in a parallel circuit is inversely proportional to the current. The more the number of resistors in the circuit, the smaller the resistance of the circuit.

This means that the total resistance of a parallel circuit is always less than the resistance of the smallest resistor in the circuit. Therefore, when all the resistors are of equal value, the total resistance is equal to the value of one individual resistor divided by the number of resistors. In other words, R(total) = R(1) / n, where n is the number of resistors. Therefore the correct option is C

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Different wavelengths of the electromagnetic spectrum can be used to gain information about distances and properties of components in the universe through various astronomical observations and measurements.

What is Electromagnetic Spectrum?

The electromagnetic spectrum is a range of all the types of electromagnetic radiation, which includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. It encompasses all the wavelengths and frequencies of electromagnetic radiation.

For example, visible light, which is a small portion of the electromagnetic spectrum, is used to observe the visible features of celestial bodies such as stars, planets, and galaxies. By analyzing the brightness, color, and spectrum of visible light emitted or reflected by these objects, astronomers can learn about their temperature, composition, and motion.

Infrared radiation, which has longer wavelengths than visible light, can penetrate through the interstellar dust and gas that block visible light. This allows astronomers to study the hidden regions of the universe, such as the centers of galaxies and the early universe, and detect cold objects like protestors and dust clouds.

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The resistance of the tungsten filament in an 85-watt, 120-volt incandescent light bulb at its operating temperature of about 2800 K is approximately 1.20 Ω.

R = [tex]\frac{V^2}{P}[/tex]

[tex]I = \frac{P}{V} = \frac{85 W}{ 120 V} = 0.708 A[/tex]

The resistivity of tungsten at 20°C is about 5.6 x [tex]10^{-8}[/tex] Ωm.

The cross-sectional area of the tungsten filament can be calculated using the formula:

A = (pi x d²) / 4

where d is the diameter of the filament. Let's assume the diameter of the filament is 0.1 mm (or 1 x [tex]10^{-4}[/tex] m).

A = (pi x (1 x [tex]10^{-4}[/tex])²) / 4 = 7.85 x [tex]10^{-9} m^2[/tex]

R = (rho x L) / A

R = (5.6 x [tex]10^{-8}[/tex] Ωm x 3 x [tex]10^{-2}[/tex] m) / 7.85 x [tex]10^{-9} m^2[/tex] = 0.215 Ω

Now we can calculate the resistance of the tungsten filament at its operating temperature of 2800 K using the formula:

R' = R x (1 + alpha x deltaT)

R' = 0.215 Ω x (1 + 4.5 x [tex]10^{-3} k^{-1}[/tex]x 2507 K) = 1.20 Ω

Resistance arises due to the interactions between charged particles (such as electrons) and the atoms and molecules that make up the material. These interactions cause the charged particles to collide with other particles, and as a result, lose some of their energy, which hinders their flow through the material.

The amount of resistance depends on several factors, including the type of material, its dimensions, and its temperature. Materials that are good conductors of electricity, such as metals, have low resistance, while insulators have high resistance.

Resistance plays an important role in many electrical applications, including the design of electrical circuits and the operation of electronic devices. It can be controlled and manipulated through the use of various components, such as resistors, which are used to regulate the flow of current in a circuit.

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Jack does -1967.4 J of work on the boat.

There are four steps to get the final value:

First, we can use the work-energy principle

This states that the net work done on an object is equal to its change in kinetic energy.

We can also use Newton's second law, which relates the net force on an object to its acceleration:

F = ma

where F is the net force acting on the boat,

m is its mass, and

a is its acceleration.

To calculate the net force, we need to add up the individual forces exerted by Jack and Jill:

F= Fjack+ Fjill

where Fjack is the force exerted by Jack, and Fjill is the force exerted by Jill.

The net force can be calculated as:

F = <-440, 0, 220> + <150, 0, 300>

  = <-290, 0, 520> N

Second, The boat's acceleration can be calculated using Newton's second law:

F= ma

a = F / m

a = <-290, 0, 520>  / 3200

a = <-0.0906, 0, 0.1625> m/s^2

Third, The boat's final velocity can be calculated using its initial velocity, its acceleration, and the displacement:

vf^2 = vi^2 + 2ad

where vi is the initial velocity,

a is the acceleration,

d is the displacement, and

vf is the final velocity.

The displacement can be calculated as:

d = |<6, 0, 1>  - <2, 0, 3>

  = |<4, 0, -2>

  = sqrt(4^2 + 0^2 + (-2)^2)

  = 4.47 m

Plugging in the values, we get:

vf^2 = (1.6 )^2 + 2 * (-0.0906 ) * 4.47

= 1.89

= 1.37 m/s

Therefore, the final speed of the boat is 1.37 m/s.

Fourth, To calculate the work done by Jack, we can use the formula:

W = F * d

where F is the force exerted by Jack, and

d is the displacement of the boat.

Plugging in the values:

W = <-440, 0, 220>  * 4.47

W = -1967.4 J

Therefore, Jack does -1967.4 J of work on the boat.

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A stationary probe placed in a fluid flow that measures pressure and temperature at one location in the flow is an Eulerian measurement.

An Eulerian measurement is a measurement made at a fixed point in space and time. The probe records the changes in pressure and temperature that occur over time as the fluid flows past the fixed point.

This type of measurement is useful for understanding the behavior of the fluid at a particular location, but it does not provide information about the individual fluid particles.

On the other hand, a Lagrangian measurement is a measurement that follows the movement of an individual fluid particle over time.

This type of measurement is useful for understanding the path that a particular fluid particle takes through the fluid.

Overall, the use of Eulerian and Lagrangian measurements depends on the type of information required about the fluid flow.

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Figure 1 best represents the charge distribution on the inner and outer walls of the spherical shell.

This is because the large positive charge inside the shell causes the equal and opposite charges to be distributed on the inner and outer surfaces of the shell. The charges will be evenly distributed on both the inner and outer walls, which is what is depicted in figure 1.

The other figures show irregular and/or unequal distributions of charges on the inner and outer walls of the shell, which would not be the case if the large positive charge was evenly distributed over the inner and outer walls. Therefore, figure 1 best represents the charge distribution on the inner and outer walls of the shell.

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The net force on a 30.0 nc charge located at the origin by two other charges is the vector sum of the forces exerted by the two other charges. The force exerted by the first charge, -50.0 nC located at (-5.0 m, 2.0 m), is given by:

F1 = (k*q1*q2)/r2, where

Therefore,

F1 = (8.99 x 109 N m2/C2)*(-50.0 nc)*(30.0 nc)/(5.3852) = 2.38 x 10-2 N

Similarly, the force exerted by the second charge, 40.0 nc located at (3.0 m, 1.0 m), is given by:

F2 = (k*q1*q2)/r2, where

Therefore,

F2 = (8.99 x 109 N m2/C2)*(40.0 nc)*(30.0 nc)/(3.1622) = 4.58 x 10-2 N

The net force is the vector sum of F1 and F2 and can be calculated as follows:

F net = F1 + F2 = 2.38 x 10-2 N + 4.58 x 10-2 N = 7.00 x 10-2 N

Therefore, the net force on a 30.0 nc charge located at the origin by two other charges is 7.00 x 10-2 N.

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Steam, Heat Exchange, Natural Gas, Throttle The steam is extracted between the high and low pressure turbines at a pressure to be determined, which is then isobarically heat exchanged with the process hot water, exiting the heat exchanger as a saturated liquid. This liquid is then throttled to the condenser pressure and mixed with the fluid exiting the low-pressure turbine.

To calculate the power output of the system, the energy and mass balances for the process must be established. These balances can be used to calculate the mass flow rate of the natural gas, the mass flow rate of the steam, the heat input and the power output. In addition, the properties of the natural gas can be used to calculate the enthalpy of the inlet gas, the enthalpy of the steam, and the enthalpy of the inlet air.

The energy balance equation states that the total energy entering the system is equal to the total energy leaving the system. The mass balance equation states that the total mass entering the system is equal to the total mass leaving the system. From these two equations, the enthalpy of the steam and the mass flow rate of the natural gas can be calculated.

The heat input to the system is equal to the total enthalpy of the steam plus the enthalpy of the natural gas. The power output of the system is equal to the heat input multiplied by the efficiency of the generator. This can be used to calculate the power output of the system.

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In order to hit the monkey with the projectile, you need to Aim higher than the monkey's original position.

Projectile motion is the kind of motion in which an object or body is propelled in the air at an angle to the horizontal plane. The motion is caused by gravity and can be seen in many real-world situations. The path of the projectile is referred to as its trajectory.

The given problem is based on projectile motion. A toy monkey hangs from a hook a certain height above the ground. You fire a projectile at the same instant that the monkey drops and starts falling to the ground. In order to hit the monkey with the projectile, you need to aim higher than the monkey's original position. This is because, as the projectile moves toward the ground, it will fall under the influence of gravity. Hence, the projectile needs to be aimed at a higher point than the monkey's initial position.

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The idealised ammeter and the 3 ohm resistor are connected in series, and they both get the same current. As a result, 2.13 A is likewise the idealized ammeter's reading.

An perfect ammeter's internal resistance is zero, whereas an ideal voltmeter's internal resistance is infinite.

The following formula can be used to get the parallel resistors' equivalent resistance:

1/Req = 1/12 + 1/9

1/Req = 3/36 + 4/36

1/Req = 7/36

Req = 36/7 ≈ 5.14 ohms

Now that the circuit has the equivalent resistance, we can redisplay it:

The circuit's overall current is determined by:

I = V / (Rint + Req)

I = 18 / (3.26 + 5.14)

I ≈ 2.13 A.

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In an elastic collision, the total kinetic energy and momentum of the system are conserved. So, in the case of a hard billiard ball elastically colliding with another hard billiard ball of equal mass,

There are two possible situations that can occur. These situations are as follows:

When the two hard billiard balls collide head-on and return with equal speed.When the two hard billiard balls collide at an angle, they deflect at the same angle, and their speed remains the same.

Elasticity refers to the ability of a substance to return to its original shape and size when an external force is applied to it.

Elasticity is an essential concept in the field of physics and is used to describe the behavior of materials under stress.The coefficient of restitution is a measure of the elasticity of an object.

It is defined as the ratio of the relative speed of separation to the relative speed of approach after a collision between two objects.

The coefficient of restitution ranges from 0 to 1, with 0 representing a completely inelastic collision and 1 representing a completely elastic collision.

When two hard billiard balls elastically collide, they can either collide head-on and return with equal speed or collide at an angle and deflect at the same angle while maintaining the same speed.

Elasticity is a fundamental concept that is used to describe the behavior of materials under stress. The coefficient of restitution is a measure of the elasticity of an object.

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When capacitors are connected in series, they have the same charge.

A capacitor is an electrical component that stores energy in an electrical field. Capacitance, measured in farads, is a measure of the capacitor's ability to store charge, and it is determined by the surface area of the conductive plates, the separation between them, and the dielectric constant of the material between them.

When capacitors are connected in series, the charge on each capacitor is the same, since charge conservation demands that the same amount of charge flows into each capacitor.

A common application of series capacitors is to produce a capacitor with a larger voltage rating than any of the individual capacitors. When a voltage V is applied across a set of N identical capacitors connected in series, the voltage across each capacitor is V/N.

The total energy stored in the capacitors is the sum of the energy stored in each capacitor separately: U₍total₎ = 1/2 C₍eq₎ V²

where: C₍eq₎ is the equivalent capacitance of the N capacitors connected in series.

Since the charge on each capacitor is the same, the equivalent capacitance of capacitors in series is given by: 1/C₍eq₎ = 1/C1 + 1/C2 + ... + 1/CN.

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The change in length of the cylindrical steel bar is given by: ΔL = F * L0 / (Y * π/4 * D^2)

From Hooke's law, we know that stress is proportional to strain, with the constant of proportionality being the Young's modulus (Y):

σ = Y * ε

Substituting for σ and ε, we get:

Y * ΔL / L0 = F / (π/4 * D^2)

Solving for ΔL, we get:

ΔL = F * L0 / (Y * π/4 * D^2)

Young's modulus is widely used in engineering and physics to design and analyze structures and materials. It is defined as the ratio of the stress applied to a material to the strain that results from that stress. Mathematically, Young's modulus can be expressed as E = σ/ε, where E is the Young's modulus, σ is the stress applied to the material, and ε is the resulting strain.

Young's modulus is a fundamental property of materials and can be used to predict how they will behave under different conditions. For example, materials with a high Young's modulus are stiffer and less elastic, while those with a low Young's modulus are more flexible and elastic.

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Complete Question: -

A cylindrical steel bar is stretched a distance ΔL mm by a force of F in N. The beam was originally D mm in diameter, L0m long, and has a Young's modulus of Y N/m^2. What is ΔL in terms of the other variables? Note: You may use the equation editor (Insert>Equation) to answer this question, but it is not required. However, if you choose to write your variable answer in plain text, be very careful about your parentheses!

The period of a wave is the time it takes for one complete cycle of the wave to occur. In this case, the wave generator produces one wave every 0.50 seconds. Therefore, the period of the wave is also 0.50 seconds.

Periodic waves are waves that repeat in a regular and predictable pattern over time. The period of a periodic wave is the time it takes for one complete cycle of the wave to occur. It is represented by the symbol "T" and is measured in seconds.

The period of a wave can be determined by measuring the time it takes for two consecutive corresponding points on the wave to pass a given point.

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Tom will strike the floor at a distance of 1.28 m from the edge of the table.

Tom the cat is chasing Jerry the mouse across a table surface that is 1.5 m high. Jerry steps out of the way at the last second, and Tom slides off the edge of the table at a speed of 5 m/s. The position of Tom at different times can be analyzed by applying the kinematic equations. Tom is in free fall and his motion is governed by the equations of motion under gravity. Therefore, his initial velocity is zero, and acceleration due to gravity is -9.8 m/s². Let’s use the second equation of motion to calculate the time required for Tom to hit the ground.
v = u + at Where, v = final velocity = 0 m/s, u = initial velocity = 5 m/s, a = acceleration = -9.8 m/s², t = time taken
Solving for t, we get
0 = 5 + (-9.8)t
t = 0.51 s
Therefore, it takes 0.51 s for Tom to hit the ground. The distance traveled by Tom before hitting the ground can be calculated using the third equation of motion.

s = ut + ½ at² Where, s = distance traveled, u = initial velocity = 5 m/s, a = acceleration = -9.8 m/s², t = time taken = 0.51 s
Solving for s, we get
s = 5 × 0.51 + ½ (-9.8) × (0.51)²
s = 1.28 m
Therefore, Tom will strike the floor at a distance of 1.28 m from the edge of the table. The motion of Tom is an example of projectile motion because he is in free fall and there is no horizontal acceleration acting on him. Projectile motion is a type of motion where an object is thrown near the earth’s surface and moves along a curved path under the action of gravity.

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The observed wavelength of the photon is 572.11 nanometers.

The formula for the Doppler effect for a moving source is:

f' = f(1 - v/c)

λ' = λ(1 - v/c)

where λ is the wavelength of the emitted photon, and λ' is the observed wavelength.

Substituting the given values, we have:

λ' = 571.43 nm (1 - 486 km/s / 299792.458 km/s)

λ' = 572.11 nm

Wavelength is a fundamental concept in physics that refers to the distance between two adjacent peaks or troughs in a wave. It is usually denoted by the symbol lambda (λ) and is measured in meters (m) or other units of length.

Wavelength is a characteristic property of all types of waves, including electromagnetic waves such as light and radio waves, as well as mechanical waves like sound waves. In general, waves with shorter wavelengths have higher frequencies and carry more energy, while waves with longer wavelengths have lower frequencies and carry less energy. The concept of wavelength is important in many areas of physics, including optics, acoustics, and quantum mechanics. It plays a critical role in the study of wave-particle duality, diffraction, interference, and resonance phenomena.

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Grandma dynamite's bus has an acceleration of 7.5 m/s².

acceleration = (final velocity - initial velocity) / time

where the final velocity is 90 m/s, the initial velocity is 0 m/s (since the bus starts from a stop), and the time taken is 12 seconds.

acceleration = (90 m/s - 0 m/s) / 12 s

acceleration = 7.5 m/s²

Acceleration is a fundamental concept in physics that describes the rate of change of an object's velocity over time. It is defined as the change in velocity divided by the change in time, and is expressed in units of meters per second squared (m/s²).

Acceleration can occur in different ways, such as speeding up or slowing down, changing direction, or a combination of both. A positive acceleration means an object is speeding up, while a negative acceleration means it is slowing down. Acceleration also depends on the mass of the object, with a larger mass requiring a greater force to achieve the same acceleration as a smaller mass.

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To find the mg of starch for the first time course, ph, and temperature experiments, you will use the iodine-starch complex formation reaction

The iodine-starch complex formation reaction is a quantitative measure of the starch concentration in the sample. The blue-black color produced is proportional to the starch concentration in the sample. If the concentration of the sample is high, the reaction will be intense, and the color will be dark blue-black. The reaction will be less pronounced if the concentration of the sample is low, and the color will be pale blue-black. When performing a starch assay, this color intensity is compared to that of a standard starch solution of known concentration to determine the concentration of starch in the sample.

The following steps must be followed to perform this analysis, 1. Dissolve the 1 mg of starch sample in 1 mL of distilled water, and adjust the pH to 7.0.2. Add 1 mL of the iodine solution (0.002 M iodine and 0.04 M KI), followed by the addition of 5 mL of 1 N hydrochloric acid. 3. Dilute the solution to 25 mL with distilled water, and mix well. 4. Measure the absorbance of the solution at 620 nm against a distilled water blank. The starch concentration in the sample can be calculated by comparing the absorbance of the sample with that of a standard solution of known concentration.

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A 110-v hair dryer is rated at 1200 w. it will draw a current of C. 11 A

The current drawn by a 110-V hair dryer is determined by Ohm's Law.

Ohm's Law states that I = V/R, where I is the current, V is the voltage, and R is the resistance. In this case, the voltage is 110 V and the resistance is 1200 W

So I = 110/1200 = 0.09 A.

Since the current is measured in amperes (A), the current drawn by the hair dryer is 0.09 A, or 11 A.

Therefore, the current drawn from a 110-v hair dryer that is rated at 1200 w. is 11 A

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The tension in each cable must be equal to the mass of the cargo multiplied by the acceleration due to gravity, and divided by the number of cables.

In order to determine the tension in each cable required to support the cargo in static equilibrium, we can use Newton's Second Law of Motion.

This law states that the sum of the forces acting on an object must be equal to the object's mass multiplied by its acceleration.
The tension in each cable (T) must be equal to the weight of the cargo (W) divided by the number of cables (n).

So the equation would be:  

T = W/n.
To find the value of T, we can use the formula

W = mg

where m is the mass of the cargo and g is the acceleration due to gravity.

Plugging this into the equation for T, we have:

T = mg/n.

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When a compressed spring is pushing a block across a rough horizontal table, a free-body diagram shows four force vectors. They are named weight, normal force, the force of friction, and the force of the spring.

What are the four force vectors?

Weight: It is the gravitational force of attraction that the earth exerts on an object. Its direction is always down.

Normal force: It is the force exerted by the surface of the object on which the other object rests. Its direction is always perpendicular to the surface.

The force of friction: It is the force that opposes the motion of the object on the surface due to the microscopic interaction between the surfaces of the two objects. Its direction is always opposite to the direction of the object's motion.

The force of the spring: It is the force exerted by the spring on the object, and its direction is always in the opposite direction of the spring's compression.

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The ball will reach a maximum height of 86 feet.

The ball is thrown vertically upward with an initial velocity of 50 feet per second.

Using the equation v2 = u2 + 2as, the maximum height that the ball will reach can be calculated as:

s = (v2 - u2) / 2a

where s is the maximum height, v is the final velocity, u is the initial velocity, and a is the acceleration due to gravity (9.81 m/s2).

Plugging in the values for u and v, we get s = (502 - 02) / 2(9.81) = 86 feet.


Therefore, the maximum height the ball will reach is 86 feet.

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The wavelength of the emitted electrons is: equal to 1.83915 × 10^-9 m, or 1.83915 nm.

The wavelength of electrons emitted from an electron gun with an accelerating potential of 288 V can be calculated using the following equation:

λ = h/√(2mV)
where h is Planck's constant (6.62607 × 10^-34 m2 kg/s), m is the mass of the electron (9.10938 × 10^-31 kg) and V is the accelerating potential of the electron gun (288 V).

Therefore, the wavelength of the emitted electrons is equal to 1.83915 × 10^-9 m, or 1.83915 nm. This calculation is based on the de Broglie equation, which states that matter, including electrons, has wave-like properties and can be described using a wave equation.

According to the de Broglie equation, particles with a given mass and velocity have a wavelength that can be calculated by dividing Planck's constant (h) by the square root of twice the mass of the particle multiplied by its velocity.  This equation is commonly used to calculate the wavelength of electrons emitted from an electron gun.

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