11 An unstretched spring is 12,0 cm long. A load of 5.0N stretches it to 15.0cm. How long will it be under a load
of 15N? (Assume that the spring obeys Hooke's law.)

its a solid from the pressure they put on a tennis ball would make it full of moving at fast speed matter bites compacted together but still moving.

The spring constant of the spring is 19.6 N/m.

The correct answer is option D.

The spring constant of the spring is calculated by applying the following equation as shown below.

Mathematically, the formula of Hooke's law is given as;

F = kx

where;

k = F / x

the extension of the spring when the 250 g mass was hung on it is calculated as;

x = 30 cm - 25 cm

x = 5 cm = 0.05 m

The spring constant of the spring is calculated as;

k = ( mg ) / x

where;

k = ( 0.1 x 9.8 ) / ( 0.05 )

k = 19.6 N/m

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The net torque about the origin exerted on the particle as a function of time is given by:

τ = 20t³ + 10C₁ - 60t⁴ - 60C₂t²

The torque is given by the cross product of the position vector and the force vector acting on the particle.

Given that the particle starts from the origin, its position vector r is simply the displacement vector, which is given by integrating the velocity vector with respect to time:

→r = ∫(→V) dt = ∫(6t²i + 2tj) dt

Integrating each component separately:

rx = ∫(6t²) dt = 2t³ + C₁

ry = ∫(2t) dt = t² + C₂

Here, C₁ and C₂ are constants of integration.

Now, we need to find the force vector acting on the particle. The force vector can be obtained from the derivative of the momentum vector with respect to time:

→F = d(→p) / dt

Since the mass of the particle is given as 5.00 kg, the momentum vector →p is:

→p = m→V = 5.00(6t²i + 2tj) = 30t²i + 10tj

Taking the derivative of →p with respect to time:

d(→p) / dt = 60ti + 10j

So, the force vector →F is given by

→F = 60ti + 10j

Now we can calculate the torque vector:

→τ = →r x →F

Expanding the cross product:

→τ = (2t³ + C₁)i x (60ti + 10j)

The cross product of two vectors in 2D can be written as:

→A x →B = (AₓBᵧ - AᵧBₓ)k

Applying this to our torque calculation:

→τ = [(2t³ + C₁)(10) - (60t²)(t² + C₂)]k

Simplifying:

→τ = (20t³ + 10C₁ - 60t⁴ - 60C₂t²)k

(*→ denotes vector sign)

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To determine the speed of light in the given medium, we need to find the values of the permittivity (ε) and permeability (μ) of the medium. The equations for electric field (E) and magnetic field (H) are provided, which can help us find these values.

to determine the speed of light in this medium, we need additional information or equations relating the variables involved.

Comparing the given electric field equation to the standard form of a plane wave:

E = E0 * e^(j(kz - ωt))

We can equate the exponents of the complex exponential terms:

j(61 - (4/3)y) = jkz

This equation implies that the propagation constant k is equal to (61 - (4/3)y). Therefore, we can find the value of k.

k = 61 - (4/3)y

Similarly, comparing the given magnetic field equation to the standard form of a plane wave:

H = H0 * e^(j(kz - ωt))

We equate the exponents of the complex exponential terms:

j(wt + (4/3)y) = jkz

This equation implies that the propagation constant k is equal to (4/3)y + ω. By substituting the value of k from the previous equation, we can solve for ω.

4/3y + ω = 61 - (4/3)y

Simplifying the equation, we find:

7/3y + ω = 61

Now that we have obtained the values of k and ω, we can determine the values of ε and μ from the relationship between the propagation constant, angular frequency, permittivity, and permeability:

k = ω√(εμ)

By substituting the known values, we get:

61 - (4/3)y = ω√(εμ)

We have one equation with two unknowns, ε and μ. To solve for the speed of light, we need to find the ratio of ε to μ, which is the square of the speed of light (c) in the medium:

c^2 = ε/μ

To determine the speed of light in this medium, we need additional information or equations relating the variables involved.

To determine the speed of light in the given medium, we need to find the values of the permittivity (ε) and permeability (μ) of the medium. The equations for electric field (E) and magnetic field (H) are provided, which can help us find these values.Comparing the given electric field equation to the standard form of a plane wave:E = E0 * e^(j(kz - ωt)). We can equate the exponents of the complex exponential terms:
j(61 - (4/3)y) = jkz. This equation implies that the propagation constant k is equal to (61 - (4/3)y). Therefore, we can find the value of k. k = 61 - (4/3)y

Similarly, comparing the given magnetic field equation to the standard form of a plane wave: H = H0 * e^(j(kz - ωt)). We equate the exponents of the complex exponential terms: j(wt + (4/3)y) = jkz. This equation implies that the propagation constant k is equal to (4/3)y + ω. By substituting the value of k from the previous equation, we can solve for ω.
4/3y + ω = 61 - (4/3)y. Simplifying the equation, we find: 7/3y + ω = 61. Now that we have obtained the values of k and ω, we can determine the values of ε and μ from the relationship between the propagation constant, angular frequency, permittivity, and permeability:
k = ω√(εμ). By substituting the known values, we get:61 - (4/3)y = ω√(εμ)We have one equation with two unknowns, ε and μ. To solve for the speed of light, we need to find the ratio of ε to μ, which is the square of the speed of light (c) in the medium:c^2 = ε/μ. Therefore, to determine the speed of light in this medium, we need additional information or equations relating the variables involved.

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Pangalay dance is characterized by its fast-paced, rhythmic music and colorful traditional costumes. The dancers usually perform in a circular or semicircular formation, with each movement following the beat of the music.

What is Pangalay?

Pangalay is a traditional dance of the Tausug people in the Philippines, and it is often performed during celebrations and special occasions. The dance is characterized by its graceful, fluid movements and its emphasis on hand and foot coordination.

The performers of pangalay dance usually wear colorful costumes that reflect the traditional clothing of the Tausug people. The female performers wear long, flowing dresses called malong, which are wrapped around the body and draped over one shoulder. Male performers typically wear a loose-fitting shirt and pants, along with a headscarf or turban

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The correct prescription for the eyeglasses that would serve the same purpose as the contact lenses is +2.40 diopters.

When wearing the contact lenses with a refractive power of 1.90 diopters, the man is able to read books held no closer than 0.265 m from his eyes. To find the prescription for the eyeglasses, we need to calculate the additional refractive power required to achieve the same focusing ability at a different distance. Using the lens formula

1/f = 1/v - 1/u,

where f is the focal length, v is the image distance, and u is the object distance, we can calculate the focal length of the contact lenses.

Since the person can read books held no closer than 0.265 m, the object distance (u) would be 0.265 m. The image distance (v) would be the distance from the contact lenses to the eyes, which is 0.020 m. The calculated prescription for the eyeglasses is +2.40 diopters, which means that eyeglasses with a refractive power of +2.40 diopters would enable the man to read books held at a distance of 0.020 m.

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Answer:

iPod does not use analog signals

Explanation:

Answer:

The atomic number of phosphorus is 15.

Explanation:

It’s found after Si(Silicon) and before S(sulphur)

Answer:

u = 14.55 m/s

Explanation:

Each tire makes 274.9 revolutions before the car comes to a stop.

We will calculate the distance covered for by the car after the brakes are applied. We will apply the following equation of motion:

V^2=U² +2as where V is the final velocity, U is the initial velocity, a is the acceleration and s is the distance covered during that acceleration.

0=(38.7)² -2* 2.41 *S (This negative because it is decelerating).

0 = 1497.69 - 4.82* S

S = 310.72

Circumference of the tire = 2πr where r is the radius.

Circumference = 1.13

Distance / circumference = Number of revolutions.

Number of revolutions. =310.72 / 1.13

Number of revolutions = 274.9

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A cougar with a mass of 80 kg is standing at the edge of a cliff, then the cougar's potential energy, if the cliff is 70 m high, would be 54880 Joules.

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.

As given in the problem a cougar with a mass of 80 kg is standing at the edge of a cliff, and if the cliff is 70 meters high then we have to find the potential energy,

The potential energy of the cougar = 80×9.8×70

                                                           =54880 Joules

Thus, the potential energy of the cougar would be 54880 Joules.

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Answer:

Nuestro mejor amigo escuchará la música más rápido a una temperatura de 36 ºC (309.15 K)

Explanation:

Supongase que el aire se comporta como un gas ideal y que experimenta un proceso adiabático, entonces la velocidad del sonido (\(v\)), medida en metros por segundo, queda traducida en la siguiente fórmula:

\(v = \sqrt{\frac{\gamma \cdot R_{u}\cdot T}{M} }\) (1)

Donde:

\(\gamma\) - Coeficiente de dilatación térmica, sin unidad.

\(R_{u}\) - Coeficiente universal de los gases ideales, medido en kilogramo-metros cuadrados por mol-Kelvin-segundo cuadrado.

\(T\) - Temperatura, medida en Kelvin.

\(M\) - Masa molar, medida en kilogramos por mol.

Como se puede ver, la velocidad del sonido es directamente proporcional a la raíz cuadrada de la temperatura. Por tanto, nuestro mejor amigo escuchará la música más rápido a una temperatura de 36 ºC (309.15 K)

The resulting speed of the 50 kg kid, if was moving with an initial speed of 2 m/s is 0.8 m/s.

Speed is the rate of change of distance.

To calculate the resulting speed of the kid, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solv for v

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Answer:

i belive it is R 24

Explanation:

may i be marked brainliest?

each description below under the principle that describes that particular behavior of fluids:

Buoyant force equals weight of fluid displaced - Archimedes' principle

Pressure decreases as a fluid moves faster - Bernoulli's principle

Pressure is the same throughout an enclosed fluid - Pascal's principle

Describes hydraulic lifts - Pascal's principle

Describes airplane flight - Bernoulli's principle

Describes floating objects - Archimedes' principle

Fluids are defined as any material that flows in response to an applied force; hence, liquids and gases are fluids. Fluids are non-fixed-shape substances that flow readily due to enlarged intermolecular gaps. Fluids include both liquids and gases. When exposed to such a stress, a fluid, any liquid or gas, or any substance in general cannot maintain a tangential, or shearing, force and suffers a constant change in form.

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The reason why the luminosity of a high-mass star remains nearly constant as it burns heavy elements in its core is because most of the energy produced by the fusion reactions is trapped in the core.

During the main sequence phase of a star's life, the energy is produced by fusing hydrogen into helium in the core. As the star exhausts its hydrogen fuel, it begins to fuse heavier elements, such as helium, carbon, and oxygen, in its core. This process releases a tremendous amount of energy, but unlike the fusion of hydrogen, the heavier elements require much higher temperatures and pressures to fuse.

As the core temperature increases due to the fusion of heavy elements, it becomes denser and more opaque. This means that the energy produced by the fusion reactions is trapped in the core and cannot escape as easily. As a result, the luminosity of the star remains nearly constant even though it is producing millions of times more energy per second than it did during the main sequence phase.

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The deflection of the pointer when the power supply is turned on is expected to be towards the positive side. Here's why A galvanometer is an instrument that is used to measure the flow of current in a circuit. It consists of a coil that is placed inside a magnetic field.

When a current passes through the coil, it experiences a force that causes it to move.The direction of the movement of the coil depends on the direction of the current passing through it. If the current is flowing in one direction, the coil will move in one direction. If the current is flowing in the opposite direction, the coil will move in the opposite direction.The deflection of the pointer in a galvanometer depends on the direction of the current flowing through the coil. When the power supply is turned on, a current will start flowing through the coil in the galvanometer. Since the coil is placed inside a magnetic field, it will experience a force that causes it to move.

The direction of the force that the coil experiences is determined by the direction of the current flowing through it and the direction of the magnetic field. Since the magnetic field is fixed, the direction of the force depends on the direction of the current. If the current is flowing in one direction, the force will be in one direction. If the current is flowing in the opposite direction, the force will be in the opposite direction.The deflection of the pointer will be towards the positive side if the current flowing through the coil is in the same direction as the magnetic field. If the current is flowing in the opposite direction, the deflection will be towards the negative side.

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Ignoring air resistance . . .

After the bomb is released, tangential (horizontal) acceleration is zero,, normal (vertical) acceleration is 9.8 m/s^2 down (gravity).

The block's speed at the bottom of the ramp is approximately 23.2 m/s.

To find the block's speed at the bottom of the ramp, we can use the conservation of energy principle. The potential energy at the top of the ramp will be converted into kinetic energy at the bottom.

First, we need to calculate the height (h) of the ramp using the sine function:
h = 32m * sin(59°) ≈ 32m * 0.857 ≈ 27.424m

Next, we calculate the potential energy (PE) at the top of the ramp:
PE = m * g * h, where m is the mass of the block and g is the acceleration due to gravity (9.81 m/s²).

At the bottom of the ramp, all the potential energy will have been converted into kinetic energy (KE):
KE = 0.5 * m * v², where v is the final velocity we need to find.

Since PE = KE, we can set up the following equation:
m * g * h = 0.5 * m * v²

Notice that the mass (m) cancels out on both sides of the equation:
g * h = 0.5 * v²

Now, solve for the final velocity (v):
v² = 2 * g * h
v² = 2 * 9.81 m/s² * 27.424m
v² ≈ 538.5

Take the square root to find the final velocity:
v ≈ √538.5 ≈ 23.2 m/s

So, the block's speed at the bottom of the ramp is approximately 23.2 m/s.

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We cannot provide an answer to this question without the accompanying figure or additional information about the duct section. The presence or absence of shock waves and the pressure at one section alone are not sufficient to determine the velocity.

To answer this question, we will use the Bernoulli's equation which relates pressure, velocity, and height in a fluid flow. Since there are no shock waves, we can assume steady, incompressible flow. The equation is:

P1 + 0.5 * ρ * V1^2 + ρ * g * h1 = P2 + 0.5 * ρ * V2^2 + ρ * g * h2

Here, P1 and P2 are the pressures, V1 and V2 are the velocities, ρ is the fluid density, g is the acceleration due to gravity, and h1 and h2 are the heights at the two sections of the duct.

Since we're dealing with a horizontal duct, the height terms (ρ * g * h1 and ρ * g * h2) cancel out. We also know that the pressure at one section (P1) is 55.5 kPa, and we want to find the velocity at that section (V1). We need more information about the other section's pressure (P2) and velocity (V2) to determine V1.

Without that information, we cannot determine the velocity at the given section using the provided options.

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Why can you get a shock if you touch a metal doorknob after walking across a wool carpet is because you have gained neutrons; the doorknob has fewer electrons. This is further explained below.

Electrons can be defined as a stable subatomic particles with a negative electrical charge that is found in all atoms and serves as the major carrier of electricity in solids.

In conclusion, You have an unbalanced charge, while the doorknob is neutral. you have gained neutrons; the doorknob has fewer electrons.

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Explanation:

the electric current is ratio of electric poer to the voltage

Answer:

D.  A record of all the physical activity you complete in one week.

Explanation:

A "Fitness Log" allows you to keep track of your workout or exercise. Therefore, it is a record of the different workout you've managed to complete within a time frame. It gives you several information such as the type of workout you've completed, its duration and the time of the day it was performed. This makes a person motivated to exercise because he can see his progress. He may also include his mood before and after workout in order to become more mindful in exercising and many other things.

Answer:

the answer is D  i just got the answer right

Explanation:

Acceleration due to gravity is defined as the acceleration produced in a falling body due to the force of gravity. It is denoted by “g” and its value is 9.8m/(sec*sec).

The value of “g” does not depend on the mass of the falling body, it means if two objects say a cotton ball of mass 100 gram and an iron ball of mass 100 gram are allowed to fall in a vacuum tube (free from air resistance) from some height, then both the objects will hit the ground at the same time because both get accelerated towards the ground with the same acceleration i.e 9.8 m/ (sec*sec).

In simple words, 9.8 m/(sec*sec) means the velocity of a falling body increases by 9.8 m/sec after every I sec.

Thanks.

Answer: The formula for acceleration due to gravity is F=mg

Explanation: Where F stands for the force acting on the body and m stands for the mass of the body g is the acceleration due to gravity

Answer:

u go to vanguard? in 6th grade

Answer:

is it correct ? sorry of it is incorrec

A multifamily dwelling occupations does not permit the installation of equipment with an open current voltage above 1000 volts?

The rate at which electric charge moves past a point in a circuit is known as the current. Current is, in other words, the pace at which electric charge flows. Voltage is the potential difference in charge between two locations in an electrical field, commonly referred to as electromotive force.

the degree to which electricity desires to migrate from one location to another. calculated in volts. According to how many electrons move per second, current is the flow of electricity from one point to another. calculated in amps. Work performed per second is referred to as power.

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Answer:

a). Average speed = 26 km per hour

b). Average velocity = 10 km per hour

Explanation:

a). Distance between A to B = 5 km

    Distance between B to C = 4 km

    Total distance traveled between A to B to C and then back to B

    = 5 + 4 + 4

    = 13 km

Time taken to cover this distance of 13 km = \(\frac{1}{2}\) an hour

Therefore, average speed during this trip = \(\frac{13}{\frac{1}{2}}\)

                                                                      = 26 km per hour

b). Average velocity = \(\frac{\text{Displacement}}{\text{Duration}}\)

   Displacement = (Distance between A to B) + (Distance traveled between B to C) - (Distance traveled from C to B)

                           = 5 + 4 - 4

                           = 5 km towards A

Average velocity = \(\frac{5}{\frac{1}{2}}\)

                             = 10 km per hour

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Answer:

1. The final velocity of the truck is 15 m/s

2. The distance travelled by the truck is 37.5 m

Explanation:

1. Determination of the final velocity

Initial velocity (u) = 0 m/s

Acceleration (a) = 3 m/s²

Time (t) = 5 s

Final velocity (v) =?

The final velocity of the truck can be obtained as follow:

v = u + at

v = 0 + (3 × 5)

v = 0 + 15

v = 15 m/s

Therefore, the final velocity of the truck is 15 m/s

2. Determination of the distance travelled

Initial velocity (u) = 0 m/s

Acceleration (a) = 3 m/s²

Time (t) = 5 s

Distance (s) =?

The distance travelled by the truck can be obtained as follow:

s = ut + ½at²

s = (0 × 5) + (½ × 3 × 5²)

s = 0 + (½ × 3 × 25)

s = 0 + 37.5

s = 37.5 m

Therefore, the distance travelled by the truck is 37.5 m

Answer:

A                                    

Explanation:

Answer : a. Extrusion