A cyclist rides at a constant speed of 4. 5 m/s around a curve. If the centripetal acceleration is 29 m/s2, what is the radius of the curve? 0. 16 m 0. 70 m 6. 4 m 34 m.

this question is centered around newtons second law f=ma

First you need to find the acceleration

\( acceleration = \frac{8 - 0}{22} \)

that gives you 0.36 recurring(on both numbers) m/s²

mass= force ÷ acceleration

\( mass = \frac{31}{0.36recurring} \)

mass= 85.25 kg

if you want to check

f=ma

85.25 × 0.36 recurring (remember its on both numbers not just 6) = 31 N

Answer:

Explanation:

Givens

F = 31 N

vi = 0

vf = 8 m/s

t = 22 seconds

m = ?

Formula

F = m ( vf - vi)/t

Solution

31 = m (8 - 0) / 22             Multiply both sides by 22

31 * 22 = 8 * m

8m = 682                          Divide by 8

m = 682 / 8

m = 85.25

\([Cr(H_{2}O)_{6}]_{3+}\) is paramagnetic due to the presence of unpaired electrons. Paramagnetic materials are attracted to an external magnetic field.

To determine the number of unpaired electrons in the \([Cr(H_{2}O)_{6}]_{3+}\) complex, we need to consider the electron configuration of chromium.

Chromium (Cr) has an atomic number of 24. Its ground-state electron configuration is [Ar] 3d5 4s1. In the \([Cr(H_{2}O)_{6}]_{3+}\) complex, Cr loses three electrons to form a +3 charge.

To distribute the remaining electrons, we start by filling the orbitals in the order of increasing energy. The d-orbitals can hold a maximum of 10 electrons.

In this case, since Cr has three fewer electrons, it leaves us with three unpaired electrons in the d-orbitals.

Therefore, \([Cr(H_{2}O)_{6}]_{3+}\) is paramagnetic due to the presence of unpaired electrons. Paramagnetic materials are attracted to an external magnetic field.

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Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

\(a = \frac{f}{m} \\ \)

f is the force

m is the mass

From the question we have

\(a = \frac{500}{1000} = \frac{1}{2} \\ \)

We have the final answer as

Hope this helps you

The time required for a wave with a 6 kHz frequency to oscillate 24,000 times was calculated to be 41 hours. An event's repetitions per unit of time are what determine its frequency.

It is distinct from angular frequency and is sometimes referred to as temporal frequency, just to be clear. Every second, or one hertz (Hz), or unit of frequency, an event occurs. The vibration of the strings of stringed instruments, such as the guitar, is another example of oscillation. The pendulum's oscillating movement is brought on by its back-and-forth motion. Vibrations in mechanical systems are referred to as such. A particle vibrates when it oscillates between two places with respect to its centre of mass.

T = 1/lamda is the formula for time.

Time = 1/24000*106 Time = 41 hours

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Answer: 4 seconds

I'm not sure about the working out because I just got the answer while doing an online test but i hope it helps :)

The sprinter's displacement after she returns to her initial position is 0 m.

option A is the correct answer.

The displacement of the sprinter is the change in the position of the sprinter after the race. It is also the shorted distance between the initial position of the sprinter and the final position of the sprinter.

Mathematically, the formula for the change in the position of the sprinter is given as;

Δx = xf - xi

where;

when the sprinter starts from point A of a circular track and returns to the starting point A, that is one lap. When the sprinter moves again and returns to the same starting point A, that is two laps.

From the above illustration, the final position of the sprinter is equal to the initial position of the sprinter.

Δx = xf - xi

xf = xi

Δx = 0 m

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1.  The dispersion angle can be calculated as follows:

The angle of refraction for red and violet light using Snell's Law. For red light:

sin(41.00°)/1.638 = sin(θ)/1, where θ is the angle of refraction.

Solving for θ, we get θ = 24.42°.

Similarly, for violet light:

sin(41.00°)/1.668 = sin(θ)/1,

solving for θ, we get θ = 24.07°.

The dispersion angle is then the difference between these two angles:

Δθ = θ_violet - θ_red = 24.07° - 24.42° = -0.35°.

Therefore, the dispersion angle is -0.35°.

2. Let w be the width of the beam at the bottom of the block, as measured along the bottom surface. Then, for red light:

sin(24.42°)/1 = sin(θ)/1.638,

solving for θ, we get θ = 16.68°.

Using the same approach for violet light, we get θ = 16.48°.

The width of the beam at the bottom of the block is then:

w = 13.5 cm × tan(16.68°) + 13.5 cm × tan(16.48°) = 6.69 cm.

Therefore, the width of the beam at the bottom of the block is approximately 6.69 cm.

3.  When the rainbow-colored beam emerges from the bottom of the block, the exiting rays of light are once again refracted at the air-glass interface, and they spread out further due to the dispersion of the glass.

Dispersion refers to the phenomenon of a wave or radiation being separated into its component frequencies as it passes through a medium. This occurs because different frequencies of the wave travel at different speeds through the medium, causing them to spread out and separate.

One common example of dispersion is the separation of white light into its constituent colors when it passes through a prism. The different colors of light are refracted differently, causing them to separate into a rainbow-like spectrum. Dispersion is also an important phenomenon in the study of materials, particularly in optics and acoustics. In materials, dispersion can result in the absorption or reflection of certain frequencies, affecting the overall properties of the material.

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Answer:

Two

Explanation:

Volt = Current* Resistance

Current = Volt\Resistance

Answer:

2.4 ohms

Explanation:

From the question,

Applying ohm's law,

V = IR.................... Equation 1

Where V = Voltage of the car battery, I = current, R = resistance

Make R the subject of the equation

R = V/I.................. Equation 2

Given: V = 12 V, I = 5 amp.

Substitute these values into equation 2

R = 12/5

R = 2.4 ohms

Assume for the moment that it shows a young child embracing her mother before he departs for a tour of service abroad. How would you employ science to analyse her effects.

What in physics is an energy?

The definition of energy is ability to do work," which is the capacity to apply a force that causes an item to move. organismal biology the study of sentient creatures Social science is the study of people and society.

photo of How might science be used for research,Students who study science get the chance to learn more about how and how things work. Children can learn about the environment they live in through science.

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Answer: The science I would use to study the impact of the father’s departure from her family would be interpretive sociology.

Explanation: The reason I chose this science is because it focuses on the cause of people’s actions.

When you start feeling extremely depressed and need a prescription drug to help you feel better. The medication you should take should have an effect on the neurotransmitter is : Serotonin.

Serotonin is a chemical that carries messages between nerve cells in the brain and throughout your body. Serotonin, also known as the "feel-good" chemical, is just another neurotransmitter. Serotonin performs numerous functions in the body, including those related to the gut, blood clotting, and sexual function, in addition to assisting with mood regulation.

Studies suggest that depression in some people may be complicated by low levels of certain brain chemicals, or neurotransmitters. The various classes of antidepressant medications may be able to reduce symptoms by restoring the balance of brain chemicals.

Depression is a quite very difficult condition to treat, even with the aid of drugs that help the brain's neurotransmitters balance specific neurotransmitters.

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Answer:B

Explanation:

.03 of an hr is 2 mins and if it takes 2 mins to drive 4 miles enter it in pace calulator you are going 120mph so the closest to 120 is 133mph

The kid is breaking the speed limit of 45 miles/hr since he is going at 133.3 miles/hr.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Since the distance to the mall is 4 miles, the time taken is 0.03 hours, hence the speed is:

Speed = distance / time

Speed = 4 miles / 0.03 hours

Speed = 133.3 miles/hr

Hence the kid is breaking the speed limit of 45 miles/hr since he is going at 133.3 miles/hr.

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Answer:

Approximately \(2.69\; {\rm A}\).

Explanation:

Ensure that all values are measured in standard units. Charge should be measured in coulombs, while time should be measured in seconds:

\(\begin{aligned}t &= 3.0\; {\rm hr} \times \frac{3600\; {\rm s}}{1\; {\rm hr}} = 10800\; {\rm s}\end{aligned}\).

Electric current \(I\) is the rate of flow of electric charge.

In order to find the electric current, divide electric charge \(q\) by the time \(t\) required to transfer these charge. If charge \(q\!\) is measured in coulombs and time \(t\!\) is measured in seconds, the unit of current \(I\)would be amperes:

\(\begin{aligned}I & = \frac{q}{t} \\ &= \frac{29000\; {\rm C}}{10800\; {\rm s}} \approx 2.69\; {\rm A}\end{aligned}\).

Answer:

A

Explanation:

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

The magnitude of the force of the object which has the power of 4 watts and a velocity is 2 m/s is 2N.

The power of the object = 4 Watts

The velocity of the object = 2 m/s

The force of the object can be found using the formula,

               P = Fv

where P is the power

           F is the force

           v is the velocity

Let us rearrange the equation,

              F = P/v

Let us substitute the known values in the above equation, we get

              F = 4 / 2

                  = 2 N

The magnitude of the force of the object is 2N.

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Explanation:

W = mg

= (0.454 kg)(9.8 m/s^2)

= 4.45 N

d

I think the most common way of doing it was for the first

For your specific scenario, we need to consider the placement of the microphone relative to the two sound sources. Assuming the sources are equidistant from the microphone and are emitting identical frequencies, there will be a series of intensity maxima and minima as the microphone is moved horizontally.

To find the first intensity minimum, we need to locate the point where the path difference between the two sound waves is half of a wavelength. This can be calculated using the equation:
path difference = d * sin(theta)

Where d is the distance between the sound sources and theta is the angle between the two sources as seen from the microphone. Once we have the path difference, we can use the formula:
path difference = n * wavelength / 2
Where n is an odd integer (1, 3, 5, etc.) and wavelength is the distance between two consecutive peaks of the sound wave.

With these equations, we can determine the distance the microphone needs to be moved to the right to reach the first intensity minimum. This will vary depending on the specific values of d, theta, and wavelength, but can be calculated using the methods described above. Overall, finding the first intensity minimum requires an understanding of interference and some basic calculations using the path difference and wavelength formulas.

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When you hold your cardboard square between the lights source and the wall you observe a shadow.

We know that light is a source of energy. Light travels in straight lines and this is called the rectilinear propagation of light. Having known that light travels along a straight path, we know that light would pass through the cardboard which is not too thick.

This cardboard is now able to scatter the light waves. We would then see a shadow at the wall. This shadow would have two regions; the region of complete darkness called umbra and the region of partial darkness called penumbra.

Thus, when you hold your cardboard square between the lights source and the wall you observe a shadow.

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The answer I got is 444.

At 84.4 kg skier is on a 32.4 ° hill. Using X-Y axes tilted down the plane. The x-component of the weight is 443.2 N.

While Newton's second law of motion predicts that the ensuing acceleration is inversely proportional to the item's mass, his theory of gravity predicts that the gravitational force exerted on any object is proportionate to its mass.

According to Newton's Second Law of Motion, when a force applies on a mass, the mass accelerates (gains speed) (object).

X is the component of the weight

Wx = mg sinФ

Wx  = 84.4 kg x 9.8 m/s² x Sin 32.4°

Wx = 443.2 N

Y- Component of weight

Wy = mg cosФ

Wy = 84.4 k ку x 9.8 m/s² x COS 32.4

Wy = 698.4N

Therefore, the x-component of the weight is 443.2 N.

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Hi There, Buddy!

To solve this problem, let us divide the entire motion into 2 phases

1.) When the elevator is moving with an acceleration

2.) When the elevator has a deceleration

For the first half -

u = 0 , a = 0.6 , t = t1

v = 0.6(t1)  ---------- ( 1 )

s = 1/2 x 0.6 x (t1)^2 = 0.3(t1^2) -------- ( 2 )

For the second half -

u = 0.6(t1) , a = -0.8 , v = 0

0.6 x (t1) = 0.8 (t2) ----> 3(t1) = 4(t2) ---------- ( 3 )

0.36(t1)^2 = 1.6 s2 ---------- ( 4 )

Now, we know that the total time taken is 10 seconds

------- t1 + t2 =10 , 3t1 = 4t2 ---- t1 = 40/7 , t2 = 30/7

Now, substitute values of t1 and t2 in s1 and s2 and add both s1 and s2 to get total distance travelled.

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Answer:

its blue

Explanation:

on edg

B) Blue

It is indeed correct on Edge 2021

Charles's law can be calculated by the mathematical formula V1/T1 = V2/T2.

Charles's Law is one of the fundamental gas laws that describe the relationship between temperature and volume of a gas. This law states that the volume of a given amount of gas at constant pressure is directly proportional to the absolute temperature of that gas.

The mathematical formula for Charles's Law is expressed as follows:

V1/T1 = V2/T2

where V1 and T1 represent the initial volume and temperature of a gas, respectively, and V2 and T2 represent the final volume and temperature of the gas, respectively.

To use Charles's Law, you need to know the initial and final volumes and temperatures of a gas. By plugging these values into the formula, you can calculate the new volume of the gas after the temperature changes.

For example, suppose you have a gas that initially occupies a volume of 2 liters at a temperature of 25 degrees Celsius (298 K). If the temperature is increased to 50 degrees Celsius (323 K), you can calculate the new volume using Charles's Law as follows:

V1/T1 = V2/T2

2/298 = V2/323

Solving for V2, we get:

V2 = (2 x 323) / 298 = 2.17 L

Therefore, the new volume of the gas at 50 degrees Celsius is 2.17 liters.

In summary, Charles's Law provides a mathematical relationship between temperature and volume for a given amount of gas at constant pressure. To calculate the new volume of a gas after a change in temperature, you need to know the initial and final volumes and temperatures and apply the formula V1/T1 = V2/T2.

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Answer: absorb

Explanation: ligh goes in ur eyes

It would take light about 31,542 years to travel from the center to the edge of the Milky Way galaxy.

To determine how long it would take light to travel from the center of the Milky Way galaxy to the edge, we need to consider the speed of light and the distance between the center and the edge of the galaxy.

The speed of light in a vacuum is approximately 299,792 kilometers per second (or about 186,282 miles per second). This is a fundamental constant of nature denoted by the symbol "c."

Given that the diameter of the Milky Way galaxy is approximately 100,000 light-years, we need to convert this distance to a more familiar unit of measurement, such as kilometers or miles, before calculating the time it would take light to traverse it.

One light-year is defined as the distance that light travels in one year, which is approximately 9.461 trillion kilometers (or about 5.879 trillion miles). Therefore, the diameter of the Milky Way galaxy is roughly 9.461 trillion kilometers (or 5.879 trillion miles).

Now, we can calculate the time it would take light to travel from the center to the edge of the galaxy:

Time = Distance / Speed of light

For the distance of 9.461 trillion kilometers, divided by the speed of light (299,792 kilometers per second), we get:

Time = (9.461 x 10^12 km) / (299,792 km/s)

Calculating this equation gives us approximately 31,542 years. So, it would take light about 31,542 years to travel from the center to the edge of the Milky Way galaxy.

It's important to note that this calculation assumes a straight path from the center to the edge of the galaxy and does not account for any variations in density or structures within the galaxy. Additionally, the actual size and structure of the Milky Way can have some uncertainties, so the value provided here is an estimate based on current knowledge.

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The final angular velocity ,  angular displacement,  initial rotational kinetic energy, final rotational kinetic energy and work done on the disk are respectively 25 rad/s, 150 rad, 0.25 Joule, 6.25 Joule, and 6.00 Joule.

Given parameters:

Mass of the disc; m = 0.5 kg.

Initial angular velocity: ω₀ = 5 rad/sec

Mass of inertia; I =  0.02kg.m².

Angular acceleration; α = 2 rad/sec².

1. The disc final angular velocity at 10 second =  ω₀ + α t

= 5 + 10×2 rad/s

= 25 rad/s.

2.  The disc angular displacement of the disc at the end of 10seconds;

d = ω₀t + 1/2 α t²

= 5×10 +1/2 × 2 × 10² rad

= 150 rad.

3.  The initial rotational kinetic energy of the disc = 1/2 I ω₀²

= 1/2 × 0.02× 5² Joule.

= 0.25 Joule.

4. The final rotational kinetic energy of the disc at the end of 10seconds

=  1/2 I ω²

= 1/2 × 0.02 × 25² Joule

= 6.25 Joule.

5. The work done on the disk during the given time = final rotational kinetic energy - initial rotational   kinetic energy

= 6.25 Joule - 0.25 Joule

= 6.00 Joule.

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Answer:  t = 10 s , s = 2,5 m

Explanation:   (1) Speed v = v0 + at and (2) distance s = v0t + ½at².

Now  v0 = 0.5 m/s , v = 0 and a = -0.05 m/s²

Solve from equation (1)   t = -v0 / a = - 0.5 m/s / -0.05 m/s² =   10 s

Add t = 10 s to equation (2 )   s = 0.5 m/s · 10 s + 0.5· (-0.05 m/s²)· (10 s)²

= 5 m - 2,5 m = 2,5 m

To determine the distributed parameters of a transmission line, we can use the impedance and propagation constant. The attenuation constant (α), and the phase constant (β).

Characteristic impedance (Z0) = 18.6 - j0.253 Ω

Propagation constant (γ) = 0.0638 + j4.68 m^-1

The distributed parameters of a transmission line are the characteristic impedance (Z0), the attenuation constant (α), and the phase constant (β).

Characteristic impedance (Z0) = 18.6 - j0.253 Ω

Propagation constant (γ) = 0.0638 + j4.68 m^-1

The characteristic impedance (Z0) is given by the real part of the impedance: Z0 = Re(Z0) = 18.6 Ω

The attenuation constant (α) is the real part of the propagation constant:

α = Re(γ) = 0.0638 m^-1

The phase constant (β) is the imaginary part of the propagation constant:

β = Im(γ) = 4.68 m^-1

Therefore, the distributed parameters of the transmission line at 100 MHz are: Characteristic impedance (Z0) = 18.6 Ω

Attenuation constant (α) = 0.0638 m^-1

Phase constant (β) = 4.68 m^-1

These parameters provide information about the behavior of the transmission line, including the impedance matching, signal attenuation, and phase shift.

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