Write an expression for the average velocity of an object in the x direction. (Use the following as necessary: x for the displacement of the object during a time interval, and At for the time interval)

Gerard's average velocity for the ride is 6 meters per second.

To find Gerard's average velocity for the ride, we can use the formula:

Average velocity = Total displacement / Total time

First, we need to convert the distance traveled from kilometers to meters:

7.20 kilometers * 1000 = 7200 meters

Next, we convert the time from minutes to seconds:

20.0 minutes * 60 = 1200 seconds

Now, we can calculate the total displacement by subtracting the initial position from the final position. Since Gerard is riding directly east, there is no change in the east-west direction, so the displacement is equal to the distance traveled:

Total displacement = 7200 meters

Finally, we substitute the values into the average velocity formula:

Average velocity = 7200 meters / 1200 seconds

Average velocity = 6 meters per second

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Complete Question

The complete question is  shown on the first uploaded image (reference for Photobucket )

Answer:

The  electric field is  \(E = -1.3 *10^{-4} \ N/C\)

Explanation:

 From the question we are told that

    The linear charge density on the inner conductor is  \(\lambda _i = -26.8 nC/m = -26.8 *10^{-9} C/m\)

    The linear charge density on the outer conductor is

  \(\lambda_o = -60.0 nC/m = -60.0 *10^{-9} \ C/m\)

     The position of interest is r =  37.3 mm =0.0373 m

Now this position we are considering is within the outer conductor so the electric field  at this point is due to the inner conductor (This is because the charges on the conductor a taken to be on the surface of the conductor according to Gauss Law )

Generally according to Gauss Law

         \(E (2 \pi r l) = \frac{ \lambda_i }{\epsilon_o}\)

=>    \(E = \frac{\lambda _i }{2 \pi * \epsilon_o * r}\)

substituting values  

       \(E = \frac{ -26 *10^{-9} }{2 * 3.142 * 8.85 *10^{-12} * 0.0373}\)

       \(E = -1.3 *10^{-4} \ N/C\)

The  negative  sign tell us that the direction of the electric field is radially inwards

    =>   \(|E| = 1.3 *10^{-4} \ N/C\)

Answer:

emergencies

Explanation:

This is what I got when I unscrambeled it

i think that would be magnetesium

The magnitude of the initial acceleration of the object is 4.2 m/s².

The tension in the string once the object starts moving is 13.65 N.

The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;

F(net) = ma

m₂g - μm₁g cosθ = a(m₁ + m₂)

where;

(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)

33.5 = 8a

a = 33.5/8

a = 4.2 m/s²

The tension in the string once the object starts moving is calculated as;

T = m₁a

T = 3.25 x 4.2

T = 13.65 N

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Answer:

Electrons accelerated to high velocities travel in straight lines through an empty cathode ray tube and strike the glass wall of the tube, causing excited atoms to fluoresce or glow.

The distance that the log has moved till it got to where Ernie reached Burt  would be 0.37m

We have the following details that would be used to get the solution to this problem

length of log = 4. 0 m

The mass of the log is 210 kg

The weight pof Burt = 40 . 5 kg

The weight of ernie would be 25.5 kg

The formula to be used would be in the form of

x(mass of log) + x(mass of Burt) + mass of ernie (x - length of wood)

such that we would have

210x + 40.5x + 25.5(x - 4) = 0

210x + 40.5x + 25.5x - 102 = 0

276x - 102 = 0

cross sign to the other side

276x = 102

To get the distance we would have to divide through by 276 and this value that we would get is going to be the x value

276x / 276 = 102 / 276

x = 0.369

~ 0.37m

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- The resistance of the first resistor (R₁) is 12 Ω.

- The electromotive force (EMF) of the battery is 18 V.

- The internal resistance of the battery is 12 Ω.

To solve the given problem, we can apply Kirchhoff's laws and Ohm's law to determine the resistance of the first resistor (R₁) and the electromotive force (EMF) and internal resistance of the battery.

Let's start by calculating the resistance of the first resistor (R₁):

1. Apply Ohm's law to find the voltage drop across the external circuit:

  V = I * R

  V = 1 A * 6 Ω

  V = 6 V

2. The voltage drop across the external circuit is equal to the EMF minus the voltage drop across the internal resistance of the battery:

  V = E - Ir

  6 V = E - (1 A * r)   (where r is the internal resistance of the battery)

3. We also know that the EMF of the battery is the sum of the voltage drops across each cell in the battery:

  E = 6 cells * 3 V/cell

  E = 18 V

4. Substitute the value of E in the equation from step 2:

  6 V = 18 V - r

  r = 12 Ω

Therefore, the resistance of the first resistor (R₁) is 12 Ω.

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Answer:

Friction is when 2 solids move against each other. The cause of friction is adhesion, and surface roughness. Surface roughness is when a surface is rough enough that is causes friction against another surface. Adhesion is when 2 surfaces collide because of thier molecular force.

Answer:

e

Explanation:

Answer: E B

Explanation:

Atom A has 10 protons, 12 neutrons, and 10 electrons, while Atom B has 10 protons, 10 neutrons, and 12 electrons.

Atom A and Atom B are not isotopes of each other. Isotopes are atoms of the same element that differ in the number of neutrons but have the same number of protons. In this case, Atom A and Atom B have different numbers of protons, which means they are not isotopes of each other.

The number of protons determines the element, and since Atom A and Atom B have different numbers of protons, they belong to different elements.

Isotopes, on the other hand, have the same number of protons but differ in the number of neutrons.

This variation in the number of neutrons gives isotopes different atomic masses while retaining the same chemical properties.

However, Atom A and Atom B do not fulfill this criterion, so they cannot be considered isotopes of each other.

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answer:

2.5 m/s²

Explanation:

120 km/h = 120 ÷ 3.6 = 100/3 ≈ 33 m/s

a = (v2 - v1)/∆t = (33m/s - 0)/ 13s = 33/13 m/s²≈ 2.5 m/s²

The minimum energy is given by E_total = 2 * E_1 + 2 * E_2 + E_3.

In an infinite square well potential, the energy levels for a single particle are given by the equation:

E_n = (n^2 * h^2) / (8 * m * L^2),

where n is the quantum number, h is Planck's constant, m is the mass of the electron, and L is the width of the well. The lowest energy level corresponds to n = 1, yielding the minimum energy for a single electron in the well.

To consider the exclusion principle, we need to ensure that each energy level can accommodate at most two electrons (one with spin-up and one with spin-down).

Therefore, the five electrons will fill the energy levels starting from the lowest and moving up, with each level accommodating two electrons.

The total minimum energy of the system is the sum of the energies of the filled energy levels. For this case, we fill the n = 1 and n = 2 energy levels completely, while only partially filling the n = 3 level to accommodate the remaining electron. Thus, the minimum energy is given by:

E_total = 2 * E_1 + 2 * E_2 + E_3,

where E_1, E_2, and E_3 are the energies of the respective energy levels. Substituting the equation for E_n into the expression above, we obtain the final expression for the minimum energy of the system consistent with the exclusion principle in the infinite square well potential.

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Answer:

Advantages: has the best magnetic properties, good price, good strength, and are easy to process into special shapes.

Disadvantages: are not resistant to high temperature and corrosion, and are fragile.

Explanation:

Katarina is right. The explanation correct is because r is a distance and always positive, from she can see that when y is negative, sinθ is also negative.

For every interval of odd multiple of π, to next even multiple of π, sinθ will be negative.

Mathematically,

Sin θ will be negative in

[(2n +1)π, (2n + 2)π]

Where, n is any integer (Positive or negative).

Hence, it is right to state that Katarina is right. The explanation correct is because r is a distance and always positive, from she can see that when y is negative, sinθ is also negative.

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Full Question:

Dacia Asks Katarina To Tell Her What The Values Of Y Are That Can Make Sine Negative. Which Of Katarina's Replies Is Correct?

Answer:

Mass of the man = 100 kg

Explanation:

Given that,

Mass of the Earth, M = 6×10²⁴ kg

The radius of the Earth, r = 6400 km

Force on man, F = 977 N

We need to find the mass of the man. Let the mass of the man be m. The gravitational force acting between two objects is given by :

\(F=G\dfrac{mM}{r^2}\\\\m=\dfrac{Fr^2}{GM}\\\\m=\dfrac{977\times (6400\times 10^3)^2}{6.67\times 10^{-11}\times 6\times 10^{24}}\\\\m=99.99\ kg\)

or

m = 100 kg

So, the mass of the man is 100 kg.

Answer:

13.9 kJ

Explanation:

Given that

Length of the side, l = 1.8 m

Drag coefficient, C(d) = 1.4

Distance of run, d = 200 m

Velocity of run, v = 5 m/s

Density, ρ = 1.23

Using the Aerodynamics Drag Force formula. We have

F(d) = 1/2.ρ.A.C(d).v²

The Area, A needed is 1.8 * 1.8 = 3.24 m². So that,

F(d) = 1/2 * 1.23 * 3.24 * 1.4 * 5²

F(d) = 139.482/2

F(d) = 69.74

recall that, energy =

W = F * d

W = 69.74 * 200

W= 13948

W = 13.9kJ

Therefore, the thermal energy added to the air by the drag force is 13.9kJ

Answer:

Answer:

H2O + CO2 = H2CO3 When you breathe more rapidly, the concentration of CO2 in your blood decreases. How would this affect the concentration of H2CO3?

IT WOULD INCREASE IT!

Answer:

As it combines with water, it forms carbonic acid, making the blood acidic. So CO2 in the bloodstream lowers the blood pH. When CO2 levels become excessive, a condition known as acidosis occurs.

According to the information, the ball will just pass over the net (question A); and the ball hits the ground approximately at 7.04 meters from the player and after a time of flight of approximately 1.31 seconds (question B).

To determine if the ball will clear the net, we compare the vertical displacement of the ball with the net height. The ball's initial height is 1.1 meters, and it reaches its highest point during flight. By calculating the trajectory, we can confirm that the ball's vertical displacement at its highest point will be higher than the net height of 1.81 meters, ensuring it clears the net.

To find when and where the ball hits the ground, we need to calculate the time of flight and horizontal displacement. Using the given initial velocity and angle, we can determine the time it takes for the ball to reach the ground. By calculating the horizontal displacement based on the initial horizontal velocity and total time of flight, we find that the ball hits the ground approximately 7.04 meters from the player. The time of flight is approximately 1.31 seconds. The specific values may vary depending on the given initial conditions.

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Answer:

\(q = -461532.5 \ C\)

Explanation:

From the question we are told that

     The  electric filed is  \(E = 102 \ N/C\)  

Generally according to Gauss law

=>   \(E A = \frac{q}{\epsilon_o }\)

Given that  the electric field is pointing downward  , the equation become

    \(- E A = \frac{q}{\epsilon_o }\)

Here   \(q\) is the excess charge on the surface of the earth

          \(A\) is the surface  area of the of the earth which is mathematically represented as

     \(A = 4\pi r^2\)

Where r is the radius of the earth which has a value \(r = 6.3781*10^6 m\)

 substituting values

    \(A = 4 * 3.142 * (6.3781*10^6 \ m)^2\)

    \(A =5.1128 *10^{14} \ m^2\)

So

   \(q = -E * A * \epsilon _o\)

Here \(\epsilon_o\) s the permitivity of free space with value

          \(\epsilon_o = 8.85*10^{-12} \ m^{-3} \cdot kg^{-1}\cdot s^4 \cdot A^2\)

substituting values

     \(q = -102 * 5.1128 *10^{14} * 8.85 *10^{-12}\)

     \(q = -461532.5 \ C\)

Answer:

An object is in motion when its distance from another object is changing. A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point.

option C is your CORRECT answer

Answer:

the stress in the cable at the time when the truck is stop is 2,344.57  lb/m^2

Explanation:

The computation of the stress in the cable when the truck comes to a stop is shown below:

We used the following formula

\(T = mg\times sin\theta\\\\= 4,000 \times sin15^{\circ}\)

= 1,035.28

Now the stress in the cable is

Before calculating it first determined the area which is

\(Area = \frac{\pi}{4}\times (\frac{3}{4})^2 \\\\= \frac{9\pi}{64}\)

So, the stress is

\(= \frac{T}{area}\\\\ = \frac{1,035.28}{\frac{9\pi}{64} }\)

= 2,344.57  lb/m^2

Hence, the stress in the cable at the time when the truck is stop is 2,344.57  lb/m^2

Answer:

Explanation:

Something that attracts iron...duuhhh

Imagine you have three flashlights. One has a blue light, one has a green light and one is red. If you were to shine each of those lights in the same spot, I think i would see white color.

At one end of the electromagnetic wave line, which has the group of the visible spectrum. This has been referred to as the visible light of the spectrum. The visible light with the shortest of the wavelength has the blue light and the one with the longest has the red light.

The primary colors of the light has been the spectrum are red, blue, and green. The combination of these colors will form other as well as the colors which has been referred to as the secondary colors. The combination of the beam of the red light and the beam of green light will form yellow color.

Therefore, Imagine you have three flashlights. One has a blue light, one has a green light and one is red. If you were to shine each of those lights in the same spot, I think i would see white color.

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The conductivity of a conductor refers to its ability to conduct electrical current.

A material that has high conductivity allows electrical charges to flow through it easily and with little resistance, while a material with low conductivity does not allow electrical charges to flow as easily and has more resistance.

The conductivity of a conductor is determined by the number of free electrons in the material, as well as how easily these electrons can move through the material.

In a conductor, the atoms are closely packed together and the electrons are not tightly bound to the atoms, allowing them to move freely through the material and carry an electrical charge. This facilitates the flow of electrical current through the material, resulting in high conductivity.

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Answer:

t = 1.32 s

Explanation:

We are given;. Frequency of C4 note; F_c = 262 Hz

In conversions, we know that 1 Hz = 1 cycle/s

Thus, F_c = 262 cycles/s

Now, we want to find out how much time it takes for 346 air pressure maxima to pass a stationary listener.

346 air pressure maxima denotes that the air pressure maxima is 346 cycles.

Thus, time will be;

t = 346 cycles/262 cycles/s

t = 1.32 s

The time taken for the musical note to pass the stationary listener is 1.32 s.

The given parameters:

The frequency of a sound wave is defined as the number of cycles completed per second by the wave.

\(F = \frac{n}{t}\)

where;

The time taken for the musical note to pass the stationary listener is calculated as follows;

\(262 = \frac{n}{t} \\\\t = \frac{n}{262} \\\\t = \frac{346}{262} \\\\t = 1.32 \ s\)

Thus, the time taken for the musical note to pass the stationary listener is 1.32 s.

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The final velocity of the cannon ball when it strikes the earth is 43.36 m/s.

The given parameters:

The final velocity of the cannon ball when it strikes the earth is calculated by applying the principle of conservation of energy as follows;

\(P.E_i + K.E_i = P.E_f + K.E_f\\\\mgh_i + \frac{1}{2} mv_i^2 = mgh_f + \frac{1}{2} mv_f^2\\\\gh_i + \frac{1}{2} v_i^2 = g(0) + \frac{1}{2} v_f^2\\\\2gh_i + v_i^2 = v_f^2\\\\v_f = \sqrt{2gh_i + v_i^2 } \\\\v_f = \sqrt{(2 \times 9.8 \times 50) \ \ + \ \ 30^2} \\\\v_f = 43.36 \ m/s\)

Thus, the final velocity of the cannon ball when it strikes the earth is 43.36 m/s.

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When describing motion, speed indicates the pace at which an object is travelling. It has one scalar component identifying its magnitude, irrespective of direction.

The unit for measuring speed can be either meters per second (m/s) or miles per hour (mph). For velocity, it's a different story. Its definition encompasses both speed and direction since it's a vector quantity. Measureable just like speed using m/s or mph.

In plain physic terms, acceleration reveals how much speed changes over time; hence it is also a vector quantity with not only size but also direction. Depending on whether a physical item is increasing in momentum, slowing down or static, the value could be positive, negative, or zero. Acceleration is calculated using units metres per second squared (m/s2).

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Answer:

The length of cable is 12.5 m

Explanation:

Since, the wrecking ball completes 1 oscillation, in the same time, as it takes for the rock to complete 5 oscillations.

Therefore,

Time Period of Wrecking Ball = 5 (Time Period of Rock)

Since,

Time Period of  Pendulum = 2π√(L/g)

Therefore,

2π√(L₁/g) = 5[2π√(L₂/g)]

√L₁ = 5√L₂

Squaring on both sides:

L₁ = 25 L₂

where,

L₁ = Length of Cable = ?

L₂ = Length of string = 0.5 m

Therefore,

L₁ = 25 (0.5 m)

L₁ = 12.5 m