If a force of 21n stretches a spring 0.3m beyond its natural length, how much work does it take to stretch the spring 4.5m beyond its natural length?

Magnetism is using a reference point to help her in her measurements.

The force that magnets use to either attract or repel one another is known as magnetism.

The force that magnets use to either attract or repel one another is known as magnetism. Electric charges in motion are the source of magnetism.

Atoms, the smallest building blocks of matter, make up every substance. There are electrons in every atom, which are charged particles. The electrons that make up an atom's nucleus, or core, spin like tops.

Therefore, Magnetism is using a reference point to help her in her measurements.

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Answer:

In a physical change the appearance or form of the matter changes but the kind of matter in the substance does not.

However in a chemical change, the kind of matter changes and at least one new substance with new properties is formed.

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Horizontal force: F cos α

Vertical force = F sin α

F cos α = 20 N

F cos 60 = 20 N

F = 20 : 0.5 = 40 N

At a frequency of 500 Hz, the source voltage lags the current.

The phase relationship between the source voltage and the current can be determined by considering the behavior of different circuit elements. In an inductive circuit, such as a coil or an inductor, the current lags behind the voltage. Inductors store energy in their magnetic fields, and as the voltage changes, the current takes some time to respond and build up. At a frequency of 500 Hz, if the circuit contains inductive elements, the current will lag behind the voltage. This lagging effect is commonly observed in AC circuits with inductive components, where the current flow is delayed compared to the voltage

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Answer:

the most elliptical orbit is that of COMETA

Explanation:

The eccentricity of a curve in defined as the ratio between lacia to the focus, called c and the value of the axis greater than

         ε = c / a

if we use Pythagoras' theorem

         c = \(\sqrt{a^2 - b^2}\)

   substituting

           ε = \(\sqrt{1 - (b/a)^2 }\)

if   ε = 0 we have a circumference

In the diagram presented the orbit of the comet is an ellipse a> b

          ε=\(\sqrt{1- x} \\ x = (\frac{b}{a} )^2\)

if we expand in series

             ε = 1 - x/2  

             ε=  \(1 - \frac{1}{2} \ (\frac{ b}{a} )^2\)

if we neglect the non-linear terms

            ε = 1

Earth's orbit is a small ellipse

             b / a = 149 10⁶ / 151 10⁶

             b / a = 0.98675

             ε = \(\sqrt{1- 0.98675^2}\)

               ε = 0.16

a very small ellipse

Planet X, despite not having data, it seems that the sun is in the scepter of the orbit, so b = a

therefore  both the semi-axes of the curve

        e = a / b

Consequently, the most elliptical orbit is that of COMETA.

The strength of the electric field at the point of measurement is approximately 1.49 x 10^-4 N/C. The correct answer is C.

To find the strength of the electric field at the point of measurement, we can use the formula for electric field:

E = k * (|q1| / r1^2) + k * (|q2| / r2^2)

Where:

E is the electric field strength

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

|q1| and |q2| are the magnitudes of the charges of the particles

r1 and r2 are the distances from the particles to the point of measurement

We are given:

|q1| = 6 nC

|q2| = 3 nC

r1 = 300 cm = 3 m

r2 = 600 cm = 6 m

Substituting the values into the formula, we can calculate the electric field strength:

E = k * (|q1| / r1^2) + k * (|q2| / r2^2)

E = (8.99 x 10^9 N m^2/C^2) * (6 x 10^-9 C / (3 m)^2) + (8.99 x 10^9 N m^2/C^2) * (3 x 10^-9 C / (6 m)^2)

Simplifying the expression:

E = 1.49 x 10^-4 N/C

Therefore, the strength of the electric field at the point of measurement is approximately 1.49 x 10^-4 N/C. The correct answer is C.

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Answer:

The spring constant will be "1333.33 N/m".

Explanation:

The given values are:

Mass,

m = 1.2 kg

Displacement compression,

x = 0.15 m

Block's velocity,

\(v_i=5 \ m/s\)

As we know,

⇒  \(E_i=E_f\)

or,

⇒  \(K_i+v_i=K_f+v_f\)

⇒  \(\frac{1}{2}mv_i^2+0=0+ \frac{1}{2}Kx^2\)

So,

⇒  \(K=\frac{mv_i^2}{x_2}\)

On substituting the values, we get

⇒       \(=\frac{1.2\times 5\times 5}{0.15\times 0.15}\)

⇒       \(=\frac{30}{0.0225}\)

⇒       \(=1333.33 \ N/m\)

The kernel (null space) of a linear map L from a vector space V to a vector space W is a subspace of V.

To prove that the kernel (null space) of a linear map L from a vector space V to a vector space W is a subspace of V, we need to show three things: closure under vector addition, closure under scalar multiplication, and the presence of the zero vector.

1. Closure under vector addition:

Let u and v be vectors in the kernel of L, denoted as u, v ∈ ker(L). This means L(u) = 0 (the zero vector in W) and L(v) = 0. We want to show that u + v is also in the kernel of L.

Using the linearity of L, we have:

L(u + v) = L(u) + L(v) = 0 + 0 = 0

This shows that u + v is mapped to the zero vector by L, thus u + v is in the kernel of L.

2. Closure under scalar multiplication:

Let u be a vector in the kernel of L, denoted as u ∈ ker(L). This means L(u) = 0. We want to show that αu is also in the kernel of L for any scalar α.

Using the linearity of L, we have:

L(αu) = αL(u) = α0 = 0

This shows that αu is mapped to the zero vector by L, thus αu is in the kernel of L.

3. Presence of the zero vector:

The zero vector in V, denoted as 0v, is always in the kernel of any linear map because L(0v) = 0 in the codomain W.

Therefore, we have shown that the kernel of L satisfies the three conditions to be a subspace of V: closure under vector addition, closure under scalar multiplication, and the presence of the zero vector. Hence, the kernel of L is indeed a subspace of V.

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A new Sunway supercomputer aims to close the "quantum supremacy" gap by achieving real-time simulation of random quantum circuits.

Closing the "quantum supremacy" gap refers to the goal of achieving classical computational capabilities that can simulate the behavior of a random quantum circuit in real-time. Quantum supremacy is a term used to describe the point at which a quantum computer can perform calculations that are beyond the reach of classical computers.

To achieve real-time simulation of a random quantum circuit, a new Sunway supercomputer could potentially play a crucial role. The Sunway supercomputer is known for its high-performance computing capabilities, which can significantly enhance computational power and speed.

However, it's important to note that as an AI language model, I don't have access to the latest developments beyond my September 2021 knowledge cutoff, and I don't have specific information on any recent advancements related to a Sunway supercomputer.

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A kind of stimulus is that Optic flow.  It occurs as spaceships in Star Wars accelerate to near-light speed and the stars appear to stream outward from the screen's Centre due to centripetal force.

providing the impression of forward momentum. The acceleration vector of an object undergoing UCM is always directed toward the centre because centripetal implies "towards the Centre."m Since the reference frame is spinning, centrifugal force—which is not a real force—occurs as a result of this motion. The centripetal force, which pushes the item in the direction of the circle's Centre and maintains uniform circular motion is called centripetal force, is the real driving force behind uniform circular motion.

The pattern of seemingly moving objects, surfaces, and edges in a visual scene that is brought on by the motion of the observer in relation to the scene is known as optical flow or optic flow. Another way to think of Optic flow is as the distribution of apparent motion velocities of brightness pattern in an image.

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Answer:

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 3 × 2

We have the final answer as

Hope this helps you

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.15 ✕ 104 N/m.

Spring constant is the common name for the force constant. Hooke's law states that F=-kx. k=N/m is used to replace units in the equation where F is force, x is displacement, and k is force constant (spring constant) to determine the SI unit of force constant (spring constant).

The slope (gradient) of the graph equals the force constant. The proportionality constant, or k, is also known as the force constant in physics. A spring that is more rigid will have a higher value for k. The graph is no longer a straight line beyond point A since the gradient has changed and the formula F = Kx is no longer valid.

Maximum speed is at equilibrium where:

F = kx ⇒x =F/k

Now, F x=1/2mv²+1/2kx²

Solving we get,

V=F/√mk=Vmax

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Answer:

0.98

Explanation:

Answer:

ig d. transmits only green light.....

giant and supergiant stars rare because the giant and supergiant stages are very short.

The absolute visual magnitudes of supergiants range from -3 to -8. Supergiant stars have a temperature range of from 3,450 K to 20,000K.

Supergiant stars can range in mass from 10 to 70 times that of the Sun, and some of them can be 30,000 times or more luminous than the Sun.

Supergiants range widely in terms of their radius, from 30 to 500 or possibly more than 1,000 solar radii.

Supergiants have extremely brief lives, ranging from 10 to 50 million years, as a result of their tremendous masses. They are typically seen in newly formed cosmic formations including open clusters, spiral galaxy arms, and irregular galaxies.

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Answer:

1000meters

Explanation:

Let the wavelength of the radio wave be W and it's frequency be f. If the wavelength of a radio wave varies inversely as its frequency, then W∝1/f

W = k/f where k is the constant of proportionality.

k = Wf

If a wave with a frequency of 1800 kilohertz has a length of 200 meters, then k = 1800×200

k = 360,000kHzm

To get the length of a wave with a frequency of 360 kilohertz, we will substitute the value of k and f = 360kHz into the initial formula i.e

W = k/f

W = 360,000/360

W = 1000meters

Hence the length of a wave with a frequency of 360 kilohertz is 1000meters

When we state something about the results on the basis whether the observed data supports the original hypothesis, we say that we are concluding the results.

What is the relationship between force and acceleration based on Newton's 2nd law?

Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

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\(answer \\ = 50 \: m / s \\ solution \\ distance \: travelled\: by \: bus = 1.5 \: km \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1.5 \times 1000 \: m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1500 \: m \\ time \: = 30 \: seconds \\ speed = \frac{distance}{time} \\ \: \: \: \: \: \: \: \: \: \: = \frac{1500m}{30s } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 50 \: m/s \\ hope \: it \: helps\)

Answer:

C. 50 m/s

Explanation:

Given:

Distance = 1.5 km = 1500 m

Time = 30 sec

Required:

Speed = ?

Formula

Speed = Distance / Time

Solution:

Putting the given in the formula

Speed = 1500/30

Speed = 50 m/s

We want to find how much time will pass before the two cars collide. By using one as a frame of reference, we will see that 8 seconds elapse before the two cars collide.

The frame of reference is the point where the observer is at. For example, if we define one of the cars as a frame of reference, we will see that the selected car does not move (because we move with it, so we can't notice the movement).

Then the velocity of the selected car is "passed on" to the other car.

This means that if we select car A as our frame of reference, which moves at 30 m/s, then we will see that car A does not move, while car B moves with a speed of:

S = 20m/s + 30m/s = 50m/s

The velocities are added because the two cars move in opposite directions (So car A sees that car B comes faster than it actually does).

Now that we are on this frame of reference, we just need to see how long will take car B to travel 400 meters when it moves at 50 m/s

So we need to solve:

Distance/speed = time

With:

(400m)/( 50 m/s) = 8s

This means that 8 seconds elapse before the two cars collide.

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Answer:

555

Explanation:

Answer:

air is compress able

since air can be compressed, then the hydraulics will not work as well. It won't be able to push the object or brake the wheels. Since water cannot be compressed, it is able to push something, that's how hydraulics work.

Explanation:

it reduces pressure and essentially makes the process less effective.

Answer:

On the other hand, Florida's Gulf Coast experiences the greatest number of thunderstorms out of any U.S. location. These types of storms occur on average 130 days per year in Florida.

The required horizontal distance travelled is calculated to be 243.7 m and the vertical distance travelled is calculated to be 25.184 m.

It is given that the car starts from rest, so u = 0 m/s

Acceleration of the car = 2.5 m/s²

The inclination θ with the horizontal is given as, θ = 5.9°

Time is given as 14 s.

The distance d is calculated as,

"s = u t + 1/2 a t²"

where,

a is acceleration

t is time

s is distance

s = 1/2 × 2.5(14)² = 245 m

The horizontal distance travelled is

sh = s cosθ = 245 cos5.9° = 245(0.99) = 243.7 m

The vertical distance travelled is

sv = s sinθ = 245 sin5.9° = 245(0.102) = 25.184 m

Thus, the horizontal distance travelled is 243.7 m and vertical distance travelled is 25.184 m.

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Answer: (1) a = -9.3 m/s^2

Explanation:

a = Δv/Δt

a = (8 m/s - 21 m/s)/(1.4 s)

a = -9.3 m/s^2

The electrical operating conditions are typically measured with Multimeter, Oscilloscope, and Clamp Meter. Thus, option D is the accurate answer.

A multimeter is the most common and versatile instrument which is used to measure the voltage, resistance, and current passing through the conductors. IT can able to provide continuous frequency. An Oscilloscope is also a device used to measure electrical waveforms

A clamp Meter is a small handheld device that can able to measure both AC and DC currents in the circuit in digital format. It uses a small induction coil to measure the amount of current passing through the conductor.

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The complete question is:

the electrical operating conditions are typically measured with a(n):

a. Multimeter

b. Oscilloscope

c. Clamp Meter

d. All the above

Answer:

125,000

Explanation:

Answer:

Imp = 20000 [kg*m/s]

Explanation:

In order to solve this problem we must divide it into two parts. In the first part we must use the following equation of kinematics.

\(V_{f}=v_{i}-a*t\)

where:

Vf = final velocity = 0 (the car stops)

Vi = initial velocity = 20 [m/s]

a = acceleration [m/s²]

t = time = 0.5 [s]

Acceleration is negative as the cart slows down as it stops.

\(0=20-a*0.5\\20=0.5*a\\a=40 [m/s^{2}]\)

The second part is the determination of momentum, which is defined as the product of force over a given time. But to determine the force we must use Newton's second law which tells us that the sum of the forces of a body is equal to the product of mass by acceleration.

∑F = m*a

\(F = 1000*40\\F = 40000[N]\)

Now the impulse or momentum

\(Imp = F*t\\Imp = 40000*0.5\\Imp=20000[kg*m/s]\)

Hello User!

The Core difference is that heat deals with thermal energy, whereas temperature is more concerned with molecular kinetic energy. Heat is the transfer of thermal energy, whereas temperature is a property the object exhibits

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In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.

However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.

It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.

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Answer:

Centripetal force is the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation, while centrifugal force is the apparent force that is felt by an object moving in a curved path that acts outwardly away from the center of rotation

Explanation:

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