Part B
You should find that your Interpolated and extrapolated values are not even close to the actual recorded values for these
displacement and velocity readings. Describe the basic assumption behind Interpolation and extrapolation, then for at least
one of these values explain why the calculated value was significantly larger or smaller than the recorded value.
BI
x
Font Sizes
A- A-EIE 3
I
Characters used: 0 / 15000

Diameter = 4200 m

T = 24700 \(\pi\) time for A to also catch B

N = 1.39 \(*\) 24700 \(\pi\) / (4200 \(\pi\)) = 8.2 laps

A will create 8 but not 9 rounds before catching B.

Speed exists distance travelled per unit time. It exists scalar quantity.

Given: diameter = 4200 m

\(V_a\) = 5000 m / 3600 s = 1.39 m/s

(\(V_a - V_b\)) 60 = 10

\(V_b = V_a\) - 0.167 = 1.22 m/s

(\(V_a - V_b\)) T = 4200 \(\pi\)

where T exists time for A to complete 1 more lap

0.17 T = 4200 \(\pi\)

T = 24700 \(\pi\) time for A to also catch B

N = 1.39 \(*\) 24700

\(V_a\) = 5000 m / 3600 s = 1.39 m/s

(\(V_a - V_b\)) 60 = 10

\(V_b = V_a\) - 0.167 = 1.22 m/s

(\(V_a - V_b\)) T = 4200 \(\pi\)  

where T exists time for A to complete 1 more lap

0.17 T = 4200 \(\pi\)

T = 24700 \(\pi\) time for A to also catch B

N = 1.39 \(*\) 24700 \(\pi\) / (4200 \(\pi\)) = 8.2 laps

A will create 8 but not 9 rounds before catching B.

Therefore, the correct answer is option (ii) 8.

To learn more about speed refer to:

https://brainly.com/question/20595251

#SPJ9

The mass of the picture is approximately 5.19 kilograms.

The deformation in this case is called shear deformation, a type of deformation that occurs when parallel internal surfaces slide past one another. It is caused by shear stress in the structure. The shear stress (τ) is the force (F) applied divided by the cross-sectional area (A) of the nail. The shear strain (γ) is the displacement (Δx) divided by the original length (L0).

The relationship between shear stress and shear strain is given by the shear modulus (G) in the formula:

τ = G * γ

To find the weight of the picture, we need to calculate the shear stress first:

The cross-sectional area A of the nail is given by the formula for the area of a circle:

A = πr² = π(d/2)² = π(0.0015 m / 2)² = 1.767 x 10^-6 m².

The shear strain γ is given by:

γ = Δx / L0 = (1.80 x 10^-6 m) / (5 x 10^-3 m) = 0.36.

The shear stress τ can now be calculated by rearranging the formula:

τ = G * γ

=> τ = (80 x 10^9 N/m²) * 0.36 = 28.8 x 10^9 N/m²

The force F on the nail is equal to the weight w of the picture, and it can be calculated from the shear stress:

τ = F / A

=> F = τ * A = (28.8 x 10^9 N/m²) * (1.767 x 10^-6 m²) = 50.89 N.

Since weight w = m * g, where m is mass and g is the acceleration due to gravity (approximately 9.81 m/s²), we can find the mass m:

m = w / g = (50.89 N) / (9.81 m/s²) = 5.19 kg.

So, the mass of the picture is approximately 5.19 kilograms.

Read m oe on shear deformation here:https://brainly.com/question/30407832

#SPJ1

A frictionless pulley, which can be modeled as a 0.83 kg solid cylinder with a 0.33 m radius, contains a rope going over it. The tensions in the rope exists 12 N and 10 N. The angular acceleration of the pulley will be 13.025 rad/s².

The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement exists radians per second. Rotational acceleration is another name for angular acceleration.

Rotational acceleration is another name for angular acceleration. It has both magnitude and direction, making it a vector quantity.

We know that,

Torque = I α =  r ×  Fnet

Iα = r ×  Fnet

0.5 × m × r² * α = 2 × r × sin 90

After solving, we get

α = 4/mr = 4/(0.83 × 0.37)

α = 13.025 rad/sec²

Therefore, the angular acceleration of the pulley exists 13.025 rad/sec².

To learn more about angular acceleration, refer to:

https://brainly.com/question/21278452

#SPJ9

The increase in the kinetic energy was found to be 300000 J

define kinetic energy ?

The energy an item has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. The body exerts the same amount of effort while slowing down from its current pace to a condition of rest. Formally, a kinetic energy is any term that contains a derivative with respect to time in the Lagrangian of a system.

kinetic energy was mentioned as ⇒1/2(m)v^2

kinetic energy =1/2(m)v^2

=1/2x2000x(10)^2

=100000 J

=1/2(m)v^2

=1/2x2000x(20)^2

=400000 J

therefore the increase in the kinetic energy was 400000-100000=300000 J

To learn more about kinetic energy follow the given link: https://brainly.com/question/7694005

#SPJ1

Answer:

D. 160 nm

Explanation:

The energy released from n = 3 to n = 1 must be equal to the sum of energies released from n = 3 to n = 2 and from n = 2 to n = 1. Therefore,

Energy of Photon from 3 to 1 = Energy of Photon from 3 to 2 + Energy of Photon from 2 to 1

\(\frac{hc}{\lambda} = \frac{hc}{\lambda_{1}} + \frac{hc}{\lambda_{2}}\\\\\frac{1}{\lambda} = \frac{1}{\lambda_{1}} + \frac{1}{\lambda_{2}}\)

where,

λ = wavelength of photon released from 3 to 1 = ?

λ₁ = wavelength of photon released from 3 to 2 = 800 nm

λ₂ = wavelength of photon released from 2 to 1 = 200 nm

Therefore,

\(\frac{1}{\lambda} = \frac{1}{800\ nm} + \frac{1}{200\ nm}\\\\\frac{1}{\lambda} = 0.00625 nm^{-1}\\\\\lambda = \frac{1}{0.00625 nm^{-1}}\\\\\lambda = 160 nm\)

Therefore, the correct option is:

D. 160 nm

Answer:

D

Explanation:

You are boiling more grams for more time because the more water the longer it takes which requires more calories to burn it.

Answer: The height of the cliff is 104.59 m

Explanation:

The horizontal speed of the car when it leaves the cliff is 13 m/s, and it hits the ground 60m from the shoreline.

Here we can use the relationship:

Time*Speed = Distance.

To find the time that the car is in the air, we know that:

speed = 13m/s

distance = 60m

time = T

13m/s*T = 60m

T = (60m)/13m/s = 4.62 s

This means that the car is falling for 4.62 seconds.

Now let's analyze the vertical problem.

As the car leaves the cliff, it only has horizontal velocity, this means that the vertical initial velocity will be zero

The only force acting in the vertical axis is the gravitational force, this means that the acceleration will be equal to the gravitational acceleration, which is:

g = 9.8m/s^2

then:

a = -9.8m/s^2

Where the negative sign is because the acceleration is pulling the car downwards.

To get the vertical velocity, we could integrate over time to get:

v(t) = (-9.8m/s^2)*t + v0

Where v0 is the constant of integration and the initial vertical velocity, that we already know that is equal to zero, then the vertical velocity as a function of time can be written as:

v(t) = (-9.8m/s^2)*t

To get the vertical position equation, we need to integrate again over the time:

P(t) = (1/2)*(-9.8m/s^2)*t^2 + H

Where H is the constant of integration and the initial vertical position, then H will be the height of the cliff.

We know that the car needs 4.62 seconds to hit the ground, this means that:

P(4.6s) = 0m

Then:

P(t) = (1/2)*(-9.8m/s^2)*(4.62s)^2 + H = 0

            (-4.9m/s^2)*(4.62s)^2 + H = 0

          H =  (4.9m/s^2)*(4.62s)^2 = 104.59 m

This means that the cliff is 104.59 meters high

Answer: the radius of the circular path is approximately 1637.58 meters.

Explanation:

The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:

F_c = m * g * tan(banking angle)

Where:

F_c is the centripetal force

m is the mass of the airplane

g is the acceleration due to gravity

tan(banking angle) is the tangent of the banking angle

Now, the centripetal force is also given by the formula:

F_c = (m * v^2) / r

Where:

v is the speed of the airplane

r is the radius of the circular path

Equating the two expressions for F_c, we get:

(m * g * tan(banking angle)) = (m * v^2) / r

Canceling out the mass (m) on both sides of the equation, we have:

g * tan(banking angle) = v^2 / r

Solving for r, we get:

r = (v^2) / (g * tan(banking angle))

Substituting the given values:

v = 400 km/h = 400,000 m/h

g = 9.8 m/s^2

banking angle = 20°

Converting the speed to m/s:

v = 400,000 m/h * (1/3600) h/s = 111.11 m/s

Converting the banking angle to radians:

banking angle = 20° * (π/180) rad/° = 0.3491 rad

Now, substituting the values into the formula:

r = (111.11^2) / (9.8 * tan(0.3491))

r ≈ 1637.58 meters

Therefore, the radius of the circular path is approximately 1637.58 meters.

Answer:

its obviously D if all the other says "incorrect answer" XD

Explanation:

Answer:

d :D

Explanation:

The value of m given that the temperature of the mixture is 70°C is : 0.875 Kg

Applying the principle of energy conservation

Heat lost by the hot body = heat absorbed by the cold water + calorimeter

= m * 4200 * ( 100 - 70  ) = 0.50 * 4200 * ( 70 -20 ) + 105 * ( 70 -20 )

= m * 126000 = 110250

therefore ;

m = 110250 / 126000

  = 0.875 kg

Hence we can conclude that The value of m given that the temperature of the mixture is 70°C is : 0.875 Kg

Learn more about specific heat capacity : https://brainly.com/question/10541586

On the rollercoaster:

To solve this problem, apply the principles of conservation of energy. Use the following equations:

a) The Total Mechanical Energy (TME) at any point can be calculated using the formula: TME = Potential Energy + Kinetic Energy.

b) The velocity of the coaster can be calculated using the equation: Kinetic Energy = (1/2)mv², where m = mass of the rollercoaster.

c) The velocity of the coaster at point B can be calculated using the conservation of energy principle. So, equate the Potential Energy + Kinetic Energy at point A to the Potential Energy + Kinetic Energy at point B and solve for velocity at point B.

d) Calculate the height of point A using the formula: Potential Energy = mgh, where m is the mass of the rollercoaster, g is the acceleration due to gravity, and h is the height.

Given:

Mass of rollercoaster (m) = 1000 kg

Braking force (F) = 8780 N

Let's calculate each part of the problem:

a) The Total Mechanical Energy at Point A:

TME = Potential Energy + Kinetic Energy

Since the rollercoaster is at the highest point (A) and it's not moving, the Kinetic Energy is zero.

Potential Energy = mgh

Potential Energy at Point A = (1000 kg)(9.8 m/s²)(h) = TME

TME = 591,100 J

b) The velocity of the coaster at Point A:

Using the Total Mechanical Energy calculated in part a, calculate the velocity using the formula:

TME = (1/2)mv²

591,100 J = (1/2)(1000 kg)(v²)

v² = (2 × 591,100 J) / (1000 kg)

v² = 1182.2 m²/s²

v = √(1182.2) ≈ 34.4 m/s

c) The velocity of the coaster at Point B:

Using the conservation of energy principle, equate the TME at Point A to the TME at Point B:

Potential Energy at Point A + Kinetic Energy at Point A = Potential Energy at Point B + Kinetic Energy at Point B

mgh + (1/2)mv² = mgh' + (1/2)mv'²

Since the coaster starts from rest at Point A, the Kinetic Energy is zero.

mgh = mgh' + 0

gh = gh'

34.4 m/s = √(2 × 9.8 m/s² × h')

h' = (34.4 m/s)² / (2 × 9.8 m/s²) ≈ 60.3 m

d) The highest hill the coaster could have gotten over before Point A with no additional mechanical energy is the height at Point A, is calculated to be approximately 60.3 meters.

Find out more on energy conservation here: https://brainly.com/question/166559

#SPJ1

Freezing keeps food safe by slowing the movement of molecules, causing microbes to enter a dormant stage. Freezing preserves food for extended periods because it prevents the growth of microorganisms that cause both food spoilage and foodborne illness.

What is freezing food?

To know more about the freezing food, click the link given below:

https://brainly.com/question/9634850

#SPJ1

The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.

To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.

The force between two charged particles can be calculated using Coulomb's law:

F = k * |q₁ * q₂| / r²

Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.

First, let's calculate the force exerted on q₂ by q₁:

F₁₂ = k * |q₁ * q₂| / r₁₂²

F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²

F₁₂ ≈ 252000 N

The force is positive because q₁ and q₂ have opposite charges.

Next, let's calculate the force exerted on q₂ by q₃:

F₂₃ = k * |q₂ * q₃| / r₂₃²

F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²

F₂₃ ≈ -63000 N

The force is negative because q₂ and q₃ have the same charge.

Finally, we can find the net force on q₂ by summing the individual forces:

Net force = F₁₂ + F₂₃

Net force = 252000 N + (-63000 N)

Net force ≈ 189000 N

The net force on particle q₂ is approximately 189000 N.

For more such information on: net force

https://brainly.com/question/14361879

#SPJ8

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

To learn more about acceleration

https://brainly.com/question/2303856

#SPJ8

Answer:

B

Explanation:

Velocity=disp/time

V=5m/15s

V=1/3 m/s

One notable athlete who has been associated with the use of performance-enhancing drugs (PEDs) is the American professional cyclist Lance Armstrong.

Armstrong gained worldwide recognition for his unprecedented seven consecutive victories in the Tour de France from 1999 to 2005. However, his remarkable achievements were tarnished when it was revealed that he had engaged in systematic doping throughout his career.

In 2012, after years of denial, Armstrong finally admitted to using banned substances, including erythropoietin (EPO), testosterone, corticosteroids, and blood transfusions, to enhance his performance. These substances boosted his endurance and oxygen-carrying capacity, providing him with an unfair advantage over his competitors. Armstrong's confession came after substantial evidence, including testimonies from teammates and extensive investigations, exposed his involvement in one of the most elaborate and sophisticated doping schemes in sports history.

Following his admission, Armstrong was stripped of his Tour de France titles and received a lifetime ban from professional cycling. The revelations surrounding his drug use had a profound impact on the sport, shaking its credibility and raising concerns about the prevalence of doping in cycling.

Armstrong's story serves as a cautionary tale, highlighting the ethical and moral dilemmas associated with doping in sports. His case underscores the importance of maintaining the integrity of athletic competition, the significance of stringent anti-doping measures, and the need for education and awareness regarding the risks and consequences of performance-enhancing substances.

For similar questions on PEDs:

https://brainly.com/question/16919004

#SPJ8

Answer:

B. 0.45

Explanation:

You just need to plug this into a calculator.

Time period of a wave is the inverse of its frequency. The period of the wave with a frequency of 2.09 Hz is 0.47 seconds.

Frequency of a wave is the number of wave cycles per unit time. Frequency is the inverse of the time period of the wave. Hence, it has the unit of s⁻¹ which is equivalent to Hz.

The higher frequency of a wave indicates more number of wave cycles in a short time. Frequency is directly proportional to the energy and inversely proportional to the  wavelength.

Given the time period of the wave = 2.09 Hz

then frequency = 1/2.09 Hz = 0.47 s.

Therefore, the time period  of the wave is 0.47 seconds.

Find more on frequency:

https://brainly.com/question/14316711

#SPJ1

Answer:

Education has not embraced artificial intelligence. Some educators find themselves reluctant to join their peers in its adoption !

Technological platforms that students can use to collaborate on group assignments. Due to technology, learning, collaboration, and communication can now take place outside traditional classroom limits.

Some educators have admitted that they worry about not being able to monitor what children are doing online. They also believe that if technology were included in their classes, students wouldn't be as engaged with the material.

Through the use of personalized programs and AI, learning may be modified and adjusted to each student's unique needs, goals, and talents. This can assist close any gaps in teaching and learning.

Therefore,Artificial intelligence has not been embraced by education. Some educators are hesitant to adopt it with their colleagues.

Learn more about classrooms here:

https://brainly.com/question/25127617

#SPJ2

Based on the information, we can infer that A. represents a Mitochondria.

Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.

Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.

Note: This question is incomplete. Here is the complete information:

Attached image

Learn more about DNA in: https://brainly.com/question/264225

#SPJ1

The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.

Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.

Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.

Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.

To learn more about lights please visit -
https://brainly.com/question/16713206
#SPJ9

Explanation:

C. meter per second squared

B. meter per second

A. meter

Answer:

b. meters per second

c.meters per second squared

c.meters

Explanation:

ginawa ko na rin KC toh

The time it takes the stone to fall from a height of 7.11 m is 1.2 seconds.

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

To calculate the time it takes the stone to drop from an height of 7.11 m, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for t.

Hence, the time it takes the stone to fall is 1.2 seconds.

Learn more about time here: https://brainly.com/question/26046491

#SPJ1

Answer:

\(T_d=2.8*10^-^6\%\)

Explanation:

From the question we are told that

Distance b/w Earth and the moon \(d_e=3.84×10^8 m\)

Thickness of Earth's atmosphere\(d_t=30km\)

Constant index of refraction \(n = 1.000293.\)

Generally the equation for percentage of time delay \(T_d\) is mathematically given as

\(T_d=\frac{d(n-1)}{rm}*100\%\)

\(T_d=\frac{(35*10^3)(1.000293-1)()100)}{3.674*10^8} *\%\)

\(T_d=2.8*10^-^6 \%\)

Therefore the general percentage correction needed because of tym deley is given as

\(T_d=2.8*10^-^6\%\)

The ML rule has a very low error probability for these values of m1 and m0.

The ML rule for an optical on-off keyed system can be derived by using the Bayes' theorem. The ML rule is given by:

P(Y|1)P(1)/P(Y) > P(Y|0)P(0)/P(Y)

Since 0 and 1 are equally likely to be sent, P(1) = P(0) = 0.5. Therefore, the ML rule simplifies to:

P(Y|1) > P(Y|0)

The conditional probabilities P(Y|1) and P(Y|0) are given by the Poisson distribution:

P(Y|1) = (m1^Y * e^(-m1))/Y!

P(Y|0) = (m0^Y * e^(-m0))/Y!

Substituting these expressions into the ML rule and simplifying, we get:

(m1/m0)^Y > e^(m0-m1)

Taking the natural logarithm of both sides, we get:

Y > (m0-m1)/ln(m1/m0)

This is the form of the ML rule. For m1 = 100 and m0 = 10, the ML rule becomes:

Y > 52.02

The conditional error probabilities Pe∣i, i=0, 1 for the ML rule can be found by integrating the Poisson distribution over the appropriate range of Y. For i = 0, the conditional error probability is given by:

Pe∣0 = ∫_52.02^∞ (m0^Y * e^(-m0))/Y! dY

For i = 1, the conditional error probability is given by:

Pe∣1 = ∫_0^52.02 (m1^Y * e^(-m1))/Y! dY

These integrals can be evaluated numerically to find the conditional error probabilities. For m1 = 100 and m0 = 10, the conditional error probabilities are:

Pe∣0 = 1.9287498e-22

Pe∣1 = 0.0

Therefore, the ML rule has a very low error probability for these values of m1 and m0.

To know more about Bayes' theorem click on below link:

https://brainly.com/question/29598596#

#SPJ11

Answer:

50 Hz

Explanation:

Frequency is oscillations per second.

50/1 = 50

Explanation:

\(w = m.g\)

\(m =70 \\ g = 10\)

70x10=700N

Here is a draft of the worksheet for the three main plate boundary types:

Plate Boundary (Movement)      Convergent (Colliding)

Diagram

        ||

        ||

        ||

Lithosphere (Created or Destroyed)  

       Created

Geologic Process      Mountain building

Real World Example

        Himalayas (Along India-Eurasia plate boundary in Asia)

References        

APA reference for research      

Plate Boundary (Movement)        Divergent (Separating)

Diagram

          |||||

Lithosphere (Created or Destroyed)      

        Destroyed  

Geologic Process        

         Volcanic eruptions and rift valleys

Real World Example  

        Mid-Atlantic Ridge (Between North America and Europe plates)

References        

         APA reference          

Plate Boundary (Movement)     Transform (Sliding)

Diagram

          |||||||||

Lithosphere (Created or Destroyed)  

       Neither          

Geologic Process  

       Earthquakes

Real World Example        

         San Andreas Fault (California, USA along Pacific-North America plates)

References

          APA reference