Problem 1. In this problem, you need to determine the additive inverse1of each given vector in the appropriate vector space. (a)[ 23​]inR 2. (b)−1+3x−8x 2inP 2​. (c)[ 12​−20​]inM 2×2​.

The average power delivered to the circuit is 126.56 watts.

In a series RLC circuit, the impedance is given by Z = √(R^2 + (XL - XC)^2), where R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance. We know that the impedance Z is 120 ω and the resistance R is 64 ω. So, we can use these values to find the values of XL and XC.
XL = Z^2 - R^2 = √(120^2 - 64^2) = 105.17 ω
XC = √(Z^2 - R^2) = √(120^2 - 64^2) = 105.17 ω
Now, we can use the formula for average power in a series RLC circuit, which is P = Vrms^2/R, where Vrms is the rms voltage. Here, Vrms is given as 90 volts.
P = Vrms^2/R = 90^2/64 = 126.56 watts.

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Tension can also be defined as the action-reaction pair of forces acting at the ends of the aforementioned elements.

The tension in the cable exists 72.126 N.

In physics, tension is defined as the pulling force that is transmitted axially through the use of a string, rope, chain, or similar object, or by the ends of a rod, truss member, or other similar three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at the ends of the aforementioned elements.

The speed of the pulse is

v = 4 (2L)/t

Substitute the values in the above equation, we get

=  8L/t

simplifying the above equation, we get

= 8 × 4.15/0.900

=  33.2/0.900 = 36.89 m/s

The mass density of the cord is d = m/L

= 0.220/4.155 = 0.053 kg/m

The tension in the cord is T = d × the square of v

Substitute the values in the above equation, we get

T = 0.053 × 36.89 × 36.89 = 72.126 N

Therefore, the tension in the cable exists 72.126 N.

The complete question is:

An ethernet cable is 4.15 m long and has a mass of 0.220 kg. A transverse pulse is produced by plucking one end of the taut cable. The pulse makes four trips down and back along the cable in 0.900 s. What is the tension in the cable?

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Power output will be  = 637.7448 W

Newton's third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction.

Power Output means the average rate of electric energy delivery during one Metering

The upward force by which the bicycle is riding up will be equal and opposite to m*g*sin(10°) (using newtons third law)

Force (upward ) =  m*g*sin(10°)

given

v = 4.4 m/s

mass (m) = 85 kg

F (upward ) =  m*g*sin(10°)

ma =  m*g*sin(10°)

a = g*sin(10°)

  = 9.8 * sin(10°)  = 1.7052 m / \(s^{2}\)

Power = work / time = Force . displacement / time = mass * acceleration * velocity

           = m * a * v

           = 85 * 1.7052 * 4.4

           = 637.7448 W

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Answer:

a reactions. that is tha anser

Answer:

True all waves that go up must come down

I feel like the follow the rule of gravity:everything that goes up must come d5

Answer: According to http://www.scifun.org, "Bernoulli's Principle says that the pressure decreases inside a stream of flowing air. When the balloon begins to move out of this low pressure stream, the higher pressure of the air in the room pushes it back into the moving stream"

Answer: \(3920\ J\)

Explanation:

Given

mass of ball m=10 kg

It is placed at a height of 150 m

It is dropped from the height and allowed to free fall for 40 m

Velocity acquired by the ball during this fall is given by \(v^2-u^2=2as\)

Insert u=0, a=g

\(\Rightarrow v^2-0=2\times 9.8\times 40\\\Rightarrow v=\sqrt{784}\\\Rightarrow v=28\ m/s\)

Kinetic energy at this instant

\(K.E.=\dfrac{1}{2}\times 10\times 28^2\\\\\Rightarrow K.E.=3920\ J\)

The planet of an item will remain constant across the planet, but if you give it more mass, the gravitational force increases while the acceleration due to gravity remains constant.

The mass of the body is defined as the amount of matter a body has. It is denoted by m and its unit is kg. Mass is the quantity on which a lot of physical quantity depends.

Weight is defined as the amount of force an object exerts on the surface. It is given as the product of mass and the gravitational pull.

Mass is an independent quantity it never depends on the other. While weight is a dependent quantity that depends upon the gravitational pull.

The value of gravitational pull is different in the different parts of the universe. For example, on the earth, the value of gravitational acceleration is 9.81 m/sec².While on the moon it is g/6.

Weight is change according to the place or surrounding while the mass of the body is constant everywhere.

The planet of an item will remain constant across the cosmos, but if you give it more mass, the gravitational force increases while the acceleration of gravity remains constant.

If a planet's gravity weakens, the weight of that planet will likewise be altered. With an increase in mass, weight also rises.

Hence, the gravitational force increases while the acceleration due to gravity remains constant for the given case.

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Answer: 10m/s^2

Explanation:

Given the following :

Initial Velocity(U) = 10m/s

Angle of inclination = 30°

In other to calculate the magnitude of the vector,

We need to resolve into verti AL and horizontal component.

Vertical component of a vector(Uy) = U × Sinθ

Horizontal component(Ux) = U × Cosθ

Uy = 10 × sin30 = 10 × 0.5 = 5m/s

Ux = 10 × Cos30 = 10 × 0.866 = 8.66m/s

Therefore the magnitude equals :

U = √(Uy)^2 + (Ux)^2

U = √5^2 + 8.66^2

U = √25 + 74.9956

U = √99.9956

U = 9.9997799

U = 10m/s^2

Answer:

a bus moving with acceleration of 2 meter per second square

Answer:

It means that it's velocity is 2m/s per s

Means it travels 2m in 1st second and 4m in 2nd sec

The final velocity (in m/s) of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest will be 31.30 m/s

given

initial velocity = 0

displacement = s = 50 m

using kinematics equation

2as = \(v^{2} - u^{2}\)

2* (g) * s = \(v^{2}\) - 0

\(v^{2}\)  = 2 * (9.8) * 50

v = 31.30 m/s

The final velocity will be v = 31.30 m/s

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When you add heat to a mass of ice that is at 0∘C, some of the ice will melt. At this temperature, ice is in a solid state, and by adding heat energy to it, you increase the temperature of the ice.

The added heat energy will be used to break the intermolecular bonds holding the ice molecules together, causing the ice to melt and transform into liquid water. Therefore, the correct answer is: Some of the ice will melt.

It's important to note that during this phase change from solid to liquid, the temperature of the system remains constant at 0 C until all the ice has melted. This phenomenon is known as the latent heat of fusion, where heat energy is absorbed by the substance without causing a change in temperature.

Therefore, the correct answer is: Some of the ice will melt.

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Answer:

D :)

Explanation:

When an impact causes the car to suddenly change its motion, (D) the people in the car will continue to move in the same direction and at the same speed as before the impact.

Newton's first law of motion states that Unless influenced by an imbalanced force, a body at rest stays at rest, and a body in motion keeps moving in a straight path at a constant pace. This law is commonly known as law of inertia and the resistance of a body to maintain its state of rest is called inertia of rest, same as, the resistance of a body to maintain its state of motion is called inertia of motion.

When a car is moving with certain speed, the car along with the people inside the car is in inertia of motion. In an event of accident, the car comes in rest in no time but the man in the car is still in inertia of motion. So, his body moves forward in the car which may cause injuries. To prevent such injuries, the people inside a car are advised to use safety belts.

So, correct answer  is option (D).

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The estimated total mass of the Earth's atmosphere using the known value of atmospheric pressure at sea level is about 5.14 × 10¹⁸ kg.

The total mass of the Earth's atmosphere can be estimated using the known value of atmospheric pressure at sea level. The appropriate units of the answer are kilograms (kg).

Here's how to estimate the total mass of Earth's atmosphere:We will begin with the formula for atmospheric pressure, P = F/A where P is the pressure, F is the force, and A is the area. This formula states that the pressure exerted by the atmosphere is the force of the atmosphere divided by its area. Here, we will use the known value of atmospheric pressure at sea level which is 101,325 Pa. The force of the atmosphere can be calculated using the following formula: F = ma, where F is force, m is mass, and a is acceleration.

Since the atmosphere is at rest, the acceleration is 0, so we can write the force equation as F = mg, where g is the acceleration due to gravity which is 9.81 m/s² (meters per second squared).Substituting the value of force, F = mg, in the formula for pressure, P = F/A, we get:mg/A = P.

Solving for mass (m), we have:mass = P × A/g, where A is the area of the Earth's surface. The area of Earth's surface is 5.1 × 10¹⁴ m². Substituting the given values into the above formula:mass = (101,325 Pa) × (5.1 × 10¹⁴ m²)/(9.81 m/s²)≈ 5.14 × 10¹⁸ kg (to three significant figures)

Therefore, the estimated total mass of the Earth's atmosphere using the known value of atmospheric pressure at sea level is about 5.14 × 10¹⁸ kg.

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Answer:

b

Explanation:

Answer:

709.5 cal

Explanation:

masa m de la barra de aluminio = 100 g

temperatura ambiente = 27 ° C

Asumiremos que la barra de aluminio está en equilibrio térmico con el ambiente.

Esto significa que la temperatura inicial de la barra es de 27 ° C

temperatura final a la que la barra debe calentarse = 60 ° C

el aumento de temperatura ΔT será

ΔT = 60 ° C - 27 ° C = 33 ° C

capacidad calorífica específica c del aluminio = 0.215 cal/g°C

Calor C requerido = mcΔT

C = 100 x 0.215 x 33 = 709.5 cal

Arnold Penzias and Robert Wilson's discovery of cosmic background radiation in space, which comes from all directions, offered the first physical proof in favor of the Big Bang theory of the cosmos.

Although a hypothesis can never be proven, it must be "testable" through observation or experimentation. Despite assume significant issues, the Big Bang Theory has so far largely held up to observations and is widely regarded throughout the cosmological community.

A tiny ball of infinitely dense substance existed in the beginning. Then, everything exploded into being, creating the atoms, molecules, stars, and galaxies that we can see today.

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A company has developed a new material for making optical fibre. The critical angle of this material is much greater than that of glass, Lucite, or any other material currently being used. This product cannot be successful because optical fibres should have a small critical angle.

A small critical angle implies that the total internal reflection can take place easily.

A flexible, transparent fiber composed of plastic or glass transmits light pulses from one end of an optical fiber to the other. High-speed and long-distance services are both possible with a fiber optic network.Typical applications for fiber optic lines in telecommunications include the Internet, telephone, and television. Many of the benefits of fiber optic connections cannot be found in copper lines. The cables have a larger bandwidth and transport data much more swiftly.An optical fiber has several glass components, which might number anywhere from a few to several hundred. A glass covering known as the cladding surrounds the glass fiber core in this instance's fiber cable.

Critical angle is that angle of incidence for which the angle of refraction is 90 degrees.

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Answer:

Explanation:

For resistance the formula is as follows

R = ρ L/S

where L is length of the wire , ρ is a constant for a specific material called specific resistance and S is cross sectional area .

For 0.6 m wire , putting the values

.13 = ρ x 0.6 / S

For unknown wire

R = ρ x 187 / S

Dividing the two equations

R / .13 = 187 / .6

R = (.13 x 187) / .6

= 40.5 ohms .

Answer:

I am extremely sorry, but I cannot answer your questions, because there aren't any.

Explanation:

I don't see any questions, or else my eyes are not working properly.

A) To calculate the energy absorbed by the cancerous growth, we can use the equation:

E = Dose × mass

Where:

E is the energy absorbed (in joules),

Dose is the radiation dose (in rads), and

mass is the mass of the cancerous growth (in kilograms).

Substituting the given values:

Dose = 230 rads

mass = 0.19 kg

E = 230 rad × 0.19 kg

E = 43.7 J

Therefore, the cancerous growth absorbs approximately 43.7 joules of energy.

B) To determine the increase in temperature of the cancerous growth assuming it has the specific heat of water, we can use the equation:

Q = mcΔT

Where:

Q is the energy absorbed (in joules),

m is the mass of the cancerous growth (in kilograms),

c is the specific heat capacity of water (approximately 4,186 J/kg·K), and

ΔT is the change in temperature (in kelvin).

We already calculated the energy absorbed (E) to be 43.7 J, and we know the mass (m) is 0.19 kg. Rearranging the equation, we can solve for ΔT:

ΔT = Q / (mc)

ΔT = 43.7 J / (0.19 kg × 4,186 J/kg·K)

ΔT ≈ 56.3 mK (millikelvin)

Therefore, the cancerous growth would experience an increase in temperature of approximately 56.3 millikelvin (mK) assuming it has the specific heat capacity of water.

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Answer:

\(\huge\boxed{\sf F= 350 \ N}\)

Explanation:

Considering pivot as the central point,

Key:

\(F_1r_1=F_2r_2\)

Here,

Substitute the givens in the above formula.

\(F(1.2)=600(0.7)\\\\F(1.2)=420\\\\Divide \ 1.2 \ to \ both \ sides\\\\F=420/1.2\\\\F= 350 \ N\\\\\rule[225]{225}{2}\)

Answer:

Typical golf caddie responsibilities include carrying clubs, cleaning balls,

calculating distances and scores, and even replacing the divots - pieces of

grass and dirt that have been cut loose by the swift, forceful strikes of golf

clubs.

The spring constant for a spring that can store 25J of elastic potential energy when compressed by 7.5 cm is 8.9*10³ N/m.

given,

 energy stored in the  spring = E = 25J

compressed  distance = x = 7.5cm = 0.075m

  E = 1/2 * kx²

  K = 2E/x²

     = 8.9*10³ N/m

The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics.

Potential energy can take many different forms. Some examples are an object's gravitational potential energy, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field. The joule, denoted by the letter J in the International System of Units (SI), is the unit of energy.

Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the word "potential energy" was first used in the 19th century by the Scottish engineer and scientist William Rankine.

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When a solid turns into a liquid, the particles gain energy and vibrate more quickly.

As heat is added to the solid, the particles gain energy and start moving more vigorously. Eventually, the energy overcomes the intermolecular forces holding the particles in place, causing them to break free from their fixed positions.

As a result, the solid's structure breaks down, and the particles become less organized, allowing them to flow freely past one another. This change from a solid to a liquid is known as melting, and it occurs at the melting point of the substance.When a liquid turns into a gas, the particles experience a process called vaporization or evaporation.

In a liquid, the particles are loosely packed and move more freely compared to a solid. As heat is applied to the liquid, the particles gain even more energy and move faster. Some particles near the surface gain enough energy to overcome the attractive forces of neighboring particles and escape into the surrounding space as gas molecules.

This transition from a liquid to a gas occurs at the boiling point of the substance. The remaining liquid continues to evaporate until all the liquid has been converted into gas or until equilibrium is reached.In both processes, the arrangement and motion of the particles change significantly.

The transition from a solid to a liquid involves a breakdown of the fixed positions of the particles, while the transition from a liquid to a gas involves the escape of particles from the liquid's surface.

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More iron could be found from the cores of the other terrestrial planets. Option A

Iron is one of the elements that could be found on earth. This element is present in abundant amounts in the earth's core and ranks as the fourth most abundant element in the core of the earth.

The earth has a lot more deposit of iron in it. We know that earth lies at the center of the solar system for the sole reason that it is habitable. No other planet in the solar system is habitable though efforts are underway to make the other planets equally habitable.

Iron can also be found in the cores of other terrestrial planets but the amounts may be less than the amount of iron that is found on earth. As such, If earth experienced an iron shortage, astronomers could direct cosmic mining equipment to the  cores of the other terrestrial planets find more.

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Answer:

Motion is used to describe physical properties, while movement is used to describe the qualities of motion.

Answer:

Según la actitud del hablante las oraciones se clasifican en enunciativas, interrogativas, etc. ... adverbios o expresiones que complementan a toda la oración (COr): ojalá, quizá.

Explanation: