Study the velocity vs. time graph shown.

A graph titled Velocity versus Time shows time in seconds on the x axis, numbered 0 to 6, velocity in meters per second on the y axis, numbered 0 to 9. A line starts at (0, 2) and ends at (6, 8).
What is the displacement of the object from 2 seconds to 6 seconds?

The combined kinetic energy of the cyclist and cycle is 6120 J.

It takes 34 seconds for the kinetic energy of the cyclist and cycle to increase by 6120 J at a rate of 180 J/s.

(i) The kinetic energy of an object is given by the formula:

KE = 1/2 * m * v^2

where KE is the kinetic energy, m is the mass of the object, and v is its velocity.

For the cyclist and her cycle traveling at a speed of 12 m/s, the kinetic energy is:

KE = 1/2 * (85 kg) * (12 m/s)^2 = 6120 J

Therefore, the combined kinetic energy of the cyclist and cycle is 6120 J.

(ii) The rate of change of kinetic energy is given by the formula:

P = dKE/dt

where P is the power, KE is the kinetic energy, and t is time.

We are given that the kinetic energy increases at a rate of 180 J/s. Therefore, the power is:

P = 180 J/s

We can rearrange the formula for power to solve for time:

t = dKE/P

Substituting the values, we get:

t = dKE/P = 6120 J / 180 J/s = 34 s

Therefore, it takes 34 seconds for the kinetic energy of the cyclist and cycle to increase by 6120 J at a rate of 180 J/s.

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Answer:The mutual inductance (M) between the two coils is approximately -0.01125 V·s/A or -11.25 mH (millihenries).

Explanation:

emf = -M * (dI/dt)

Where:

emf is the induced electromotive force,

M is the mutual inductance between the coils,

dI/dt is the rate of change of current in the first coil.

In this case, we are given that the current in one coil is switched off in 0.75 ms (or 0.75 × 10^(-3) seconds) and the induced average emf in the other coil is 11 V. The rate of change of current can be calculated by dividing the change in current by the time it takes:

dI/dt = ΔI / Δt

Since the current is switched off, ΔI is equal to the initial current, which is 4.5 A. The time interval is 0.75 ms.

ΔI = 4.5 A

Δt = 0.75 × 10^(-3) s

Now we can substitute these values into the equation for the induced emf:

11 V = -M * (4.5 A / (0.75 × 10^(-3) s))

Simplifying the equation:

M = -11 V * (0.75 × 10^(-3) s) / 4.5 A

M = -0.01125 V·s / A

The mutual inductance (M) between the two coils is approximately -0.01125 V·s/A or -11.25 mH (millihenries).

Answer:

116 N•s

Explanation:

change in momentum = mvf-mvi

= m(Vf - Vi)

= 20( 8.1-2.3)

change in momentum= 116 kg•m/s

: .impulse is 116 N•s

The magnitude of the torque on the coil is 11.13 x \(10^{-4}\) Nm.

According to the question we have the following data:

Number of turns of the coil N = 8 ("an eight-turn coil")

Semi-major axis of the ellipse:

⇒ a = \(\frac{40}{2}\) cm

⇒ a = 0.2 m

Semi-minor axis:

⇒ b = \(\frac{30}{2}\) cm

⇒ b = 0.15 m

Current in the coil ⇒ i = 5.9 A

Magnetic field ⇒ B = 2.08 x \(10^{-4}\) T

The angle between the normal and the magnetic field is 90°.

So, the torque on the coil is given by:

τ = NiABsinθ

Where, A be the area of the coil.

Area of ellipse

⇒ A = π ab

⇒ A = 3.14 x 0.2 x 0.15

⇒ A = 0.0942 m²

τ = NiABsinθ

⇒ τ = 8 x 5.90 x 0.0942 x 2.08 x \(10^{-4}\) x Sin 90°

⇒ τ = 11.13 x  \(10^{-4}\) Nm

Thus, the torque is 11.13 x \(10^{-4}\) Nm

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Answer:

64 codons

Of the total of 64 codons, 61 encode amino acids and 3 specify termination of translation

Explanation:

The coefficient of the kinetic friction between the box and the floor is μk 0.21.

Friction is the force resisting the relative motion of strong surfaces, fluid layers, and fabric elements sliding against every different. There are several sorts of friction: Dry friction is a pressure that opposes the relative lateral movement of two solid surfaces in touch.

Calculation:-

Given,

mass = 40 Kg

Applied force F = 85 N

initial velocity u = 0 (rest)

distance moved = 1.4 meter

Final velocity = 1 m/s

coefficient of kinetic friction =?

Normal force = N = mg = 400 N

v² = u² +2as

a = v²/2s

  = 1/2×1.4

 = 0.36 m/s²

F = μkN

μk = F/N

     = 85/400

     0.21

Friction is a shape of touch pressure. It exists between the surfaces which are in touch. The frictional force relies upon on the person of the surface in contact. The rougher the floor, the greater the friction is involved. The frictional force is proportional to the urgent pressure, this is the weight of the body. it's far impartial of the place of the touch.

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The potential difference required to establish a 3.0 μC charge on the plates is approximately 169.49 V, which is closest to option (C) 1.7 × 10^4 V. Therefore the correct option is option C.

The capacitance of a parallel plate capacitor with A-sized plates separated by d and air between them is given by:

C = ε0 * A / d

where 0 is the open space permittivity (8.85 10-12 F/m).

The charge Q on a capacitor is proportional to the capacitance C and potential difference V as follows:

Q = C * V

Rearranging this equation yields:

V = Q / C

When we substitute the provided values, we get:

\(C = (1.77 10-8 F) = (8.85 10-12 F/m) * 2.0 10-3 m2 / (1.0 10-4 m)\)

\(Q = 3.0 × 10^-6 C\)

V = (3.0 × 10^-6 C) / (1.77 × 10^-8 F)

= 169.49 V

As a result, the potential difference necessary to charge the plates to 3.0 C is roughly 169.49 V, which is close to option (C) 1.7.

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By unit conversion, the power is 4.023 HP.

We need to know about unit conversion to solve this problem. The unit conversion can be used to convert a unit to another unit. It can be defined as

a = xb

where a is unit a, b is unit b and x is the constant of conversion.

From the question above, we know that

P = 3000 watts

unit conversion

(1 HP = 745.7 watts)

Convert the unit conversion

1 HP = 745.7 watts

divide by 745.7

1/745.7 HP = 1 watts

Convert the aspirin power to horsepower

P = 3000 watts

P = 3000 x 1/745.7 HP

P = 3000/745.7 HP

P = 4.023 HP

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The total internal reflection is the complete reflection of a ray of light within a medium such as water or glass from the surrounding surfaces back into the medium. The phenomenon occurs if the angle of incidence is greater than a certain limiting angle, called the critical angle.

This is an internal total reflection exercise, the equation that describes this process is

        sin θ = n₂ / n₁

where n₂ is the index of the incident medium and n₁ the other medium must be met n₁> n₂

       θ = sin⁻¹ n₂ / n₁

let's calculate

      30⁰ = sin⁻¹ (n₂ / n₁)

Therefore, if the angle is greater then the totally internal reflection also increases.

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The special theory of relativity predicts that fast-moving objects will appear to be shorter along the direction of motion than when they are seen at rest. Option B is the correct answer.

According to Einstein's theory, an item contracts more in the direction of motion the quicker it moves. This effect is not perceptible in our ordinary experiences since it is only perceptible at speeds that are a considerable fraction of the speed of light. Option B is the correct answer.

A fundamental theory of physics known as the special theory of relativity describes how the rules of physics apply to things moving quickly. The most well-known prediction of the theory is that no matter how quickly the observer is travelling in relation to the light source, the speed of light stays constant in all reference frames. Numerous tests have verified this prediction, which is now regarded as one of the foundations of contemporary science.

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The complete question is, "The special theory of relativity predicts that fast-moving objects will appear to be ______than when they are seen at rest:

a. fatter

b. shorter along the direction of motion

c. stretched out along the direction of motion

d. older

e. less massive"

approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.To calculate the volume of coffee that has spilled out of the beaker, we can use the concept of thermal expansion. The change in volume is given by the formula ΔV = βVΔT, where β is the coefficient of volume expansion, V is the initial volume, and ΔT is the change in temperature.

First, let's convert the initial volume to cubic meters: V = 0.858 x 10^(-3) m^3.
Next, we calculate the change in temperature: ΔT = 90.6 - 18.2 = 72.4 °C.
The coefficient of volume expansion for water (and coffee) is approximately β = 3.4 x 10^(-4) °C^(-1).
Plugging in these values into the formula, we get:
ΔV = (3.4 x 10^(-4) °C^(-1)) * (0.858 x 10^(-3) m^3) * (72.4 °C) = 2.093 x 10^(-6) m^3.

Therefore, approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.

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Answer:

The SI system is also called coherent system of units because of the following reasons: ... 1 Newton (SI unit of Force) = 1 Kg (SI unit of mass) x 1 m (SI unit of distance) / s2 (SI unit of time) , therefore 1 Newton is a coherent unit of Force.

HOPE ITS HELP

Answer:

Buddo is an island and is also a martial arts

Explanation:

The transfer function is Vc(s)/Vs(s) = (R + 1/(sC)) / (sL + R + 1/(sC)), the pole-zero map includes poles at -R/L and zeros at -1/(sC), the response to Vs(t) = u(t)V can be calculated using inverse Laplace transform techniques and the response to Vs(t) = o(t)V can also be determined using inverse Laplace transform techniques.

To find Vc(s)/Vs(s), we need to consider the given electrical system with components R, L, and C. By applying Kirchhoff's laws and solving for the output voltage Vc(s) and input voltage Vs(s) in the Laplace domain, we can derive the transfer function as (R + 1/(sC)) / (sL + R + 1/(sC)).

The pole-zero map provides insights into the stability and behavior of the system. In this case, the transfer function has poles at -R/L, indicating a time constant associated with the system's dynamics. The transfer function also has zeros at -1/(sC), which affect the frequency response characteristics.

To find the response to Vs(t) = u(t)V, where u(t) represents the unit step function, we can apply inverse Laplace transform techniques to the transfer function Vc(s)/Vs(s). This will yield the time-domain response of the system to a step input.

Similarly, to find the response to Vs(t) = o(t)V, where o(t) represents the unit impulse function, we can use inverse Laplace transform techniques on the transfer function Vc(s)/Vs(s). This will give us the time-domain response of the system to an impulse input.

By calculating the inverse Laplace transforms of the transfer functions in cases 3) and 4), we can obtain the time-domain responses of the electrical system to the respective inputs.

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Answer:

3.75m/s²

Explanation:

g= GM/r²

For planet 1

\(g_{1}\)= GM/r²                   (i)

\(g_{1}\) = 15m/s²

for planet 2

radius= 2*r= 2r

g= GM/r

\(g_{2}\)= GM/(2r)²

\(g_{2}\)= GM/4r²

\(g_{2}\)=  GM/r² *1/4

from (i)

\(g_{2}\)=  \(g_{1}\) *1/4

\(g_{2}\) = 15/4

\(g_{2}\) = 3.75m/s²

The coefficient of kinetic friction between the sled and slope is approximately 0.38. None of the answer choices match this value exactly, but the closest option is A, 0.21.

The force pulling the sled up the slope is 250 N, and the angle of the slope is 28°. We can use trigonometry to find the component of the force pulling the sled up the slope that is parallel to the slope:

F_parallel = F_pull * sin(28°)
F_parallel = 250 N * sin(28°)
F_parallel = 114.3 N

The force of friction is equal in magnitude to this parallel component of the force pulling the sled up the slope:

F_friction = 114.3 N

We can now use the formula for kinetic friction to find the coefficient of kinetic friction:

F_friction = coefficient * F_normal

The normal force is equal in magnitude to the weight of the sled, which is given as 300 N:

F_normal = 300 N

Plugging in the values we have:

114.3 N = coefficient * 300 N

Solving for the coefficient:

coefficient = 114.3 N / 300 N

coefficient = 0.38

Therefore, the coefficient of kinetic friction between the sled and slope is approximately 0.38. None of the answer choices match this value exactly, but the closest option is A, 0.21.

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Answer:

1. True

2. True

3. True

4. True

5. False

Explanation:

1. Indeed, many health experts often recommend that when children reach the age of adolescents (between ages 10 and 19) they should eat a variety of foods daily in other to have enough energy and nutrients needed for development.

2. Having regular meals (mornings, afternoon, and evenings) has for long been encouraged by medical professionals in other to provide the body its fuel.

3. Some skin problems have long been associated with too much consumption of sweets and desserts since these products often contain sugars, and excess processed sugar intake is said to increase acne and eczema.

4. Just as the name suggests, the food pyramid is a visual representation that contains how many servings from each food group in other be healthy.

5. This is false because throughout the growth stages of life it is essential to get the needed food nutrients such as  calcium, iron, protein, and energy foods.

Answer:

A force applied to an object is equal to its mass times acceleration (F=ma)

Explanation:

Answer: The force can be calculated by simply multiplying mass by acceleration

Explanation:

This created the equation F=MA

To find the speed of the planet in a perfectly circular orbit around the star, we can use the equation v = sqrt(Gm2 / r). Plugging in the given values, we get v = 1843.3 m/s. Therefore, the planet must have a speed of approximately 1843.3 m/s.

Answer:

P V = N R T      Ideal gas equation

1 mole CO2 = 12 + 32 = 44 g

5 g = 5 / 44 = .114 moles

One definition of R is R = .08207 L-Atm / mole-deg K

P = .114 * .08207 * 298 / 10 = .279 Atmosphere

One needs to use care in using R in terms of other values given

The shape of a blackbody spectrum is a curve that represents the distribution of radiation emitted by a perfectly black object at a given temperature. The curve shows the intensity of radiation emitted at different wavelengths, or colors, of light.

The shape of a blackbody spectrum is characterized by three main features: the peak wavelength, the total radiated power, and the overall shape of the curve.The peak wavelength of a blackbody spectrum depends on the temperature of the object emitting the radiation. As the temperature increases, the peak of the curve shifts towards shorter wavelengths, or higher energies. This means that hotter objects emit more radiation at shorter wavelengths, and the color of the emitted light changes from red to orange to yellow to white to blue as the temperature increases.The total radiated power of a blackbody spectrum also depends on the temperature of the object. The total power increases with temperature, as hotter objects emit more radiation at all wavelengths.The overall shape of the curve of a blackbody spectrum is described by Planck's law. This law states that the shape of the curve depends only on the temperature of the object and the physical constants of nature, such as the speed of light and the Planck constant. The curve has a characteristic bell shape, with a peak at a certain wavelength and a gradual decrease in intensity at longer and shorter wavelengths.

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Answer:

they have the same slope

Explanation:

Answer:

-1.24 m/s

Explanation:

Total momentum before collision = total momentum after collision

Total momentum before collision = (mass of full back * velocity of fullback) + (mass of lineman * velocity of line man).

Mass of full back = 112 kg, mass of line bag = 120 kg, velocity of full back  6 m/s (east), velocity of line back = -8 m/s (west). Hence:

Total momentum before collision = (112 * 6) + (120 * -8) = 672 - 960 = -288 kgm/s

The total momentum after collision = (mass of full back + mass of line back) * velocity after collision.

Let velocity after collision be v, hence:

The total momentum after collision = (112 + 120)v = 232v

Total momentum before collision = total momentum after collision

-288 = 232v

v = -288 / 232

v = -1.24 m/s

Therefore after collision, the two players would move at a velocity 1.24 m/s west (the same direction as the lineman).

Answer:

The energy was stored as chemical energy in Sue' muscle before it was transformed into mechanical energy that moves the pump handle to ump the tyre

Explanation:

In pumping up the tyre, the valve of manual pump is attached airtight to the tyre tube

As the handle of the pump is pulled up or out, air rushes into the pump from the atmosphere through the inlet valve

As the handle pushed in, the inlet valve closes and the air is forced into the tyre tube by difference in pressure and as the tube is filled, more pressure is required to enable the tube expand and build pressure inside to maintain a circular cross section while carrying load

According to Gay Lussac's Law, temperature of the air in the pump increases as its pressure increases

Given that Sue provides the energy for pumping the tyre, the energy was stored as chemical energy in Sue's muscles which is then used in moving the pump handle in the up and down motion required to pump the tyre

The question is asking whether it is possible to find a magnetic vector potential for a given uniform surface current flowing in the xy plane and generating a magnetic field for different regions of space.

To determine whether it is possible to find a magnetic vector potential for the given scenario, we need to consider the conditions that must be satisfied. In general, a magnetic vector potential A can be found if the magnetic field B satisfies the condition ∇ × A = B. This is known as the magnetic vector potential equation.

In the given situation, the magnetic field is different for the regions above and below the xy plane. For z > 0, the magnetic field is described as B = MoK -î, and for z < 0, it is described as B = -MoK -î. To find the magnetic vector potential, we need to determine if there exists a vector potential A that satisfies the equation ∇ × A = B in each region.

By calculating the curl of A, we can check if it matches the given magnetic field expressions. If the curl of A matches the magnetic field expressions for both regions, then it is possible to find a magnetic vector potential for the given scenario. However, if the curl of A does not match the magnetic field expressions, then it is not possible to find a magnetic vector potential that satisfies the conditions.

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Answer:

They can join a gym or a class to help keep themselves motivated to exercise.

Explanation: