Accuracy of physical balance is dash​

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Answer 1

Answer:

the answer for this is my.


Related Questions

through what potential difference should electrons be accelerated so that their speed is 1.2 % % of the speed of light when they hit the target?

Answers

The potential difference of the electron is 370V.

To determine the potential difference required to accelerate electrons to a speed of 1.2% of the speed of light, we can use the following equation:

v = √[(2qV)/m]

where:

v is the velocity of the electron

q is the charge of the electron

V is the potential difference

m is the mass of the electron

Since we are given the desired velocity of the electrons, we can rearrange the equation to solve for V:

V = (mv^2)/(2q)

We know the mass of an electron, which is approximately 9.11 × 10^-31 kg. We also know the charge of an electron, which is -1.6 × 10^-19 C.

So, plugging in the values, we get:

V = [(9.11 × 10^-31 kg) × (0.012c)^2] / (2 × -1.6 × 10^-19 C)

where "c" is the speed of light.

Simplifying and solving for V, we get:

V = 370 V

Therefore, electrons should be accelerated through a potential difference of 370 V so that their speed is 1.2% of the speed of light when they hit the target.

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A small dog walks 12 meters east and then 5 meters north. How many meters is the dog from her starting position?

Answers

Answer:

17 meters

Explanation:

because 12 meters +5 meters =17 meters

What is the acceleration of a ball that slows down from 45 m/s to 20 m/s in 0.5 seconds?

Answers

This is a uniformly accelerated rectilinear motion exercise.

To start solving this exercise, we obtain the following data:

Data:Vf = 20 m/sVo = 45 m/st = 0.5 seconds

To find the acceleration, divide the change in velocity by the time over which the velocity changed. The SI unit of speed is the meter per second (m/s). To find the acceleration, the velocity is divided by the time expressed in seconds (s). Therefore, the unit of acceleration is m/s².

We apply the following formula:

\(\large\displaystyle\text{$\begin{gathered}\sf a=\frac{V_{f}-V_{o}}{t} \end{gathered}$}\)

where,

Vf = final speedVo = Initial VelocityT = Timea = acceleration

We substitute our data in the formula and solve:

\(\large\displaystyle\text{$\begin{gathered}\sf a=\frac{20 \ m/s-45 \ m/s}{0.5 \ s} \end{gathered}$}\)

\(\large\displaystyle\text{$\begin{gathered}\sf a=\frac{-25 \ m/s}{0.5 \ s} \end{gathered}$}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf a=-50 \ m/s^{2} \end{gathered}$}}\)

Answer: The acceleration when the ball slows down is -50 m/s².

Uniformly Accelerated Rectilinear Motion

The uniformly accelerated rectilinear motion, also known as uniformly varied rectilinear motion, is one in which a mobile moves on a straight path being subjected to a constant acceleration.

To calculate the acceleration, we obtain the data:

Final Speed (Vf) = 20 m/s

Initial Speed (Vo) = 45 m/s

Time (t) = 0.5 sec

Acceleration (a) = ¿?

To calculate the acceleration, subtract the initial velocity minus the initial velocity, divided by the time.

We apply the following acceleration formula:a = Vf - Vo / t

To solve, we substitute our data into the given formula:

a = 20 m/s - 45 m/s / 0.5 seca = -25 m/s / 0.5 seca = -50 m/s²

Answer: The acceleration with which the ball stops is -50 m/s².

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d) The plastic tube gains a charge of 4.3 mC.
The energy stored on the tube is 3.7 J.
Calculate the voltage between the plastic tube and the metal mast.

Answers

0.8604651 Volts are present between the metal mast and the plastic tube. An electrical or electronic circuit's voltage, measured in volts, is the difference in electrical potential between two points.

Voltage is a measurement of what?An electrical or electronic circuit's voltage, measured in volts, is the difference in electrical potential between two points. It gauges how much power an electric field could potentially exert to generate current in an electrical conductor.An electrical circuit's power source exerts pressure known as voltage on charged electrons (current), causing them to flow through a conducting loop and perform tasks like lighting a lamp. Voltage is measured in volts and is simply equal to pressure (V).The electric potential difference between two places is measured in terms of voltage. Simple electric charge flow rate is known as current.  

Explanation:

Voltage = energy/charge

              = 3.7/4.3

               = 0.8604651.

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With pulsed wave ultrasonic imaging, what helps to establish the primary frequency of the acoustic energy discharged by the transducer

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The design and characteristics of the transducer itself establish the primary frequency of the acoustic energy discharged in pulsed wave ultrasonic imaging.

In pulsed wave ultrasonic imaging, the primary frequency of the acoustic energy discharged by the transducer is primarily determined by the design and characteristics of the transducer itself. The transducer is typically made of piezoelectric materials that convert electrical energy into ultrasonic sound waves.

The primary frequency is established based on the physical properties of the piezoelectric crystal, such as its thickness and speed of sound within the material.

These properties, along with the electrical excitation applied to the crystal, help determine the resonant frequency of the transducer. The resonant frequency corresponds to the primary frequency of the acoustic energy emitted by the transducer.

By carefully designing the dimensions and properties of the transducer, engineers can optimize it to generate ultrasonic waves at the desired frequency range for specific imaging applications.

The primary frequency is crucial as it affects the depth of penetration and resolution capabilities of the ultrasound imaging system

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What is the strength of the electric field at the position indicated by the dot in the figure?
E = _____ N/C
What is the direction of the electric field at the position indicated by the dot in the figure? Specify the direction as an angle above the horizontal line.
θ = ____ ⁰

Answers

The electric field has an angle of 0 degrees and a magnitude of 2546.35 N/C.

What is electric field?

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field. Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. E = F/Q is the formula for the electric field. Volts per meter is the SI unit for the electric field. The Newton's per coulomb unit is the same as this one. Newton is a unit of force and Coulomb is a unit of energy in these derived units.

Here,

E=kq/r^2

r= 5 x r^2 = 7.07 cm or .0707 m

E=(9 x 10^9)(1 x 10^-9)/(.0707)^2

= 1800.5 N/C

Now to find the x component,

cos 45 = x/1800.5

x= 1273.18 N/C

Now just multiply by 2 to accommodate both charges,

E=2546.35 N/C in direction of 0 degrees

The electric field has a magnitude of 2546.35 N/C and an angle of 0 degrees.

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what mass of bromine will be produced if a potassium bromide solution reacts with 50.0ml of a 1.20 mol/l solution of acidified naclo4(aq)

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Around 9.588 g of bromine will be produced when 50.0 ml of 1.20 mol/L potassium bromide solution reacts with 50.0 ml of a 1.20 mol/L solution of acidified NaClO.

The reaction between potassium bromide (KBr) and sodium hypochlorite (NaClO) in the presence of acid is a redox reaction, which results in the formation of bromine (Br2) and sodium chloride (NaCl). The amount of bromine produced can be calculated using the stoichiometry of the reaction.

First, the number of moles of potassium bromide (KBr) can be calculated using the molarity and volume of the KBr solution:

Moles of KBr = Molarity x volume

= 1.20 mol/L x (50.0 ml / 1000 ml/L)

= 0.0600 mol

Since the reaction is 1:1 between KBr and NaClO, the same number of moles of bromine will be produced. The mass of bromine can be calculated using the moles and molar mass of bromine:

Mass of Br2 = Moles of Br2 x Molar mass of Br2

= 0.0600 mol x 159.80 g/mol

= 9.588 g

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Tremendous energy is released by nuclear reactions is a measure of the energy required to bond the nucleus together. Where does this energy come from?

Answers

Answer:

Fission is the opposite of fusion and releases energy only when heavy nuclei are split. As noted in Fusion, energy is released if the products of a nuclear reaction have a greater binding energy per nucleon than the parent nuclei.

The amount of energy released during nuclear fission is millions of times more efficient per mass than that of coal considering only 0.1 percent of the original nuclei is converted to energy. Daughter nucleus, energy, and particles such as neutrons are released as a result of the reaction

a satellite a moves around a planet of mass 4m, another satellite b moves around a planet oof mass m. what is the orbital period of satellite a in terms of that of satellite b if the orbital radius is the same for both cases?

Answers

The orbital period of a satellite depends on the mass of the planet it orbits and the radius of its orbit. In this scenario, satellite A is orbiting a planet with a mass of 4m, while satellite B is orbiting a planet with a mass of m.

Therefore, we can write the following equation for each satellite:

For satellite A:

\(T_a\)² ∝ r³

For satellite B:

\(T_b\)² ∝ r³

Since r is the same for both satellites, we can compare the ratios of their orbital periods as follows:

\((T_a / T_b)^2 = (T_a^2) / (T_b^2) = (r^3)/ (r^3) = 1\)

Taking the square root of both sides, we get:

\(T_a / T_b = 1\)

The orbital period refers to the time it takes for an object to complete one full orbit around another object under the influence of their mutual gravitational attraction. This concept is commonly applied to celestial bodies such as planets, moons, and artificial satellites. The orbital period is determined by the mass of the central object being orbited and the distance between the two objects.

According to Kepler's laws of planetary motion, the orbital period of an object can be derived from its average distance from the central object. The period is proportional to the square root of the cube of the average distance, which is known as Kepler's third law. The orbital period plays a crucial role in understanding and predicting the behavior of celestial objects.

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it is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon. regardless of the initial excited state, this electron transition produces a spectral line in which region of the electromagnetic spectrum?
1. ultraviolet
2. infrared
3. visible light
4. radio waves

Answers

Answer:

1. Ultraviolet

Explanation:

This is called the Balmer series. Transitions ending in the ground state (n = 1) are called the Lyman series, but the energies released are so large that the spectral lines are all in the ultraviolet region of the spectrum.

It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon. Regardless of the initial excited state, this electron transition produces a spectral line in ultraviolet region of the electromagnetic spectrum. The correct option is 1.

What is electromagnetic spectrum?

An electromagnetic spectrum is the spectrum consisting of the colors of radiation of a white light with different wavelengths.

It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon.

The transitions which ends in the ground state (n = 1) are termed as Lyman series. Energy released is large in amount so that the spectral lines fall in the ultraviolet region of the spectrum.

Thus, regardless of the initial excited state, this electron transition produces a spectral line in ultraviolet region of the electromagnetic spectrum. The correct option is 1.

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What is the maximum flow rate of water in a smooth pipe 8.0 cm diameter if the flow is to be laminar

Answers

Answer:

0.05 m/s

Explanation:

We start by finding the average velocity of water in the pipe. This is done by saying

R(e) = ρv(avg)d/μ

Where,

R(e) = Reynolds number, and that's 2000

ρ = Density of water, 1000 kg/m³

μ = Viscosity of water, 10^-3

d = diameter of pipe

v(avg) = average velocity

Since we're interested in average velocity, we make v(avg) the subject of formula. So that

V(avg) = R(e).μ/ρ.d

V(avg) = 2000 * 10^-3 / 1000 * 0.08

V(avg) = 2 / 80

V(avg) = 0.025 m/s

The maximum flow rate of water in the pipe usually is twice the average velocity, and as such

V(max) = 2 * V(avg)

V(max) = 2 * 0.025

V(max) = 0.05 m/s

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Use The Kinetic Theory To Explain:
•Boyle's Law
•Charles' Law
•Pressure Law​

Answers

Answer:

Kinetic theory is based on the kinetic energy of moving particles.  In Boyle's Law the temperature is helped constant, so the kinetic energy of the molecules is a constant. The pressure and the volume are inversely related in Boyle's Law. In Kinetic theory pressure is created by the collision of particles.

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Explanation:

Do rods and cones have similar sensitivities near the red or near the violet edge of the visible spectrum

Answers

The wavelength of red light exists better than that of violet light, so the red light exists more sensibly to the cones(rods exist sensitive to dim light only) than the violet light, thus red light exists utilized for signals rather than violet light.

What is the visible light spectrum?

The visible light spectrum exists as the segment of the electromagnetic spectrum that the human eye can view. More only, this range of wavelengths exists named visible light.

The red wavelengths of light exist as the more extended wavelengths and the violet wavelengths of light exist as the shorter wavelengths. Between red and violet, there exists a constant range or spectrum of wavelengths.

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A girl kicks a blue ball with a velocity of 20.0 m/s at 65.0o. How long is it in the air?


1.85s

1.92s

13.6s

3.69s

Answers

Explanation:

t = usin©/g

Where t is the time to reach the maximum height

Time spent in air is T = 2t

Hence, T = 2usin©/g

T = 2 x 20 x sin 65°/ 9.8

T = 3.69s

if you looked at the frequency spectrums of two friends saying the word dog, would they look the same or different?​

Answers

Answer:

different

Explanation:

everybody have there own way of saying it.

Which formulas show the relationships between momentum, mass, and velocity? check all that apply. p = mv p = mass over volume p = volume over mass m = density over volume p = volume over density v = density over mass v = mass over density

Answers

The relationships between momentum, mass, and velocity is that the product of mass and velocity gives the momentum of that object ( kg.m/s ).

P = mv.

What is Momentum?

Momentum is simply the product of the mass of an object and its velocity.

Its is expressed as;

P = m × v

Where m is the mass of the object and v is its velocity.

The relationships between momentum, mass, and velocity is that the product of mass and velocity gives the momentum of that object ( kg.m/s ).

P = mv

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Answer:(C)

Explanation:

because is 13 trust me I got it right

If you have a spaceship that can go 20% of the speed of light, how long would it take to travel 200 light-years?

Answers

Answer:

1498962290

Explanation:

True or false: in our solar system, only the sun creates radio waves

Answers

False hdhsbsbsbjsjsndndbxhsisj

Two point charges are placed at the following points on the x-axis. +2.0 C at
×=0, -3.0.C at 0.40m. Find the electric field strength at 1.20m?

Answers

The electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

To find the electric field strength at a distance 1.20 m on the x-axis, we can use Coulomb's law:

\($$F=k\frac{q_1q_2}{r^2}$$\)

where F is the force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the Coulomb constant.For a single point charge q located at the origin of the x-axis, the electric field E at a distance r is given by:

\($$E=\frac{kq}{r^2}$$\)  where k is the Coulomb constant.

So, let's calculate the electric field due to each charge separately and then add them up:

For the +2.0 C charge at x = 0, the electric field at a distance of 1.20 m is:\($$E_1=\frac{kq_1}{r^2}=\frac{(9\times10^9)(2.0)}{(1.2)^2}N/C$$\)

For the -3.0 C charge at x = 0.40 m, the electric field at a distance of 1.20 m is:

\($$E_2=\frac{kq_2}{r^2}\)

\(=\frac{(9\times10^9)(-3.0)}{(1.20-0.40)^2}N/C$$\)

The negative sign indicates that the direction of the electric field is opposite to that of the positive charge at x = 0.

To find the net electric field, we add the two electric fields\(:$$E_{net}=E_1+E_2$$\)

Substituting the values of E1 and E2:

\($$E_{net}=\frac{(9\times10^9)(2.0)}{(1.2)^2}-\frac{(9\times10^9)(3.0)}{(0.8)^2}N/C$$E\)

net comes out to be -1.5×10⁴ N/C.

Therefore, the electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

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what is your audibility threshold for sounds at 8000hz? at 1000hz?

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The audibility threshold, also known as the hearing threshold, is the lowest sound intensity that can be heard by an individual. It varies for different frequencies and for different individuals.

For sounds at 8000Hz, the average audibility threshold is around 10dB.

This means that an individual can typically hear sounds at this frequency if they are at least 10dB in intensity.

For sounds at 1000Hz, the average audibility threshold is around 0dB.

This means that an individual can typically hear sounds at this frequency if they are at least 0dB in intensity.

It is important to note that these are average values and individual thresholds may vary. Factors such as age, hearing loss, and environmental noise can all affect an individual's audibility threshold.

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A balloon floats inside a stopped car. When the car starts moving forward, the balloon appears to move backward relative to the car. Which statement best explains this observation?(1 point). Responses
1.The car moves forward, while inertia keeps the balloon in place.
2.The motion of the car creates an unbalanced backward force on the balloon.
3.Inertia prevents the force of the car from acting on the balloon.
4.The force of inertia on the balloon balances the force from the motion of the car.

Answers

The correct statement that best explains this observation is:

"Inertia prevents the force of the car from acting on the balloon."

What is Force?

Force is typically measured in units of Newtons (N) and is a vector quantity, meaning it has both magnitude and direction. A force can cause an object to accelerate, decelerate, or change direction. Forces can be categorized as contact forces, such as friction and tension, or as non-contact forces, such as gravity and electromagnetic forces.

When the car is at rest, the air molecules inside the car are also at rest. The balloon, being filled with air, is also at rest relative to the air molecules inside the car. However, when the car starts moving forward, the air molecules inside the car begin to move with the car, creating a forward force that acts on the balloon.

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I NEED HELP PLEASE, THANKS! :)
If a musical instrument such as a trumpet or flute is “flat”, should the pipe be lengthened or shortened?

Answers

Answer:

It should be shortened. hope this helps!:)

Answer:

Shortened

Explanation:

A longer pipe will have a longer wavelength, and therefore a lower frequency.

A shorter pipe will have a shorter wavelength, and therefore a higher frequency.

A "flat" note has a low frequency, so the pipe should be shortened.

The same phenomenon can be demonstrated with guitar strings.  The longer the string, the lower the pitch.

I NEED HELP PLEASE, THANKS! :) If a musical instrument such as a trumpet or flute is flat, should the

A cabbie is trying to stop when he notices a fare is whistling them over. The
car has 18750 J of energy. If the cab is 2100. kg, how fast was it moving?

Answers

K.E=18750JMass=m=2100kgVelocity=v

\(\boxed{\sf K.E=\dfrac{1}{2}mv^2}\)

\(\\ \sf\longmapsto 18750=\dfrac{1}{2}2100v^2\)

\(\\ \sf\longmapsto 18750=1050v^2\)

\(\\ \sf\longmapsto v^2=\dfrac{18750}{1050}\)

\(\\ \sf\longmapsto v^2=17.85m^2\)

\(\\ \sf\longmapsto v=\sqrt{17.85}\)

\(\\ \sf\longmapsto v=4.1m/s\)

As light from a star spreads out and weakens, do gaps form between the photons?

Can momentum be hidden to human eyes like how kinetic energy can be hidden as heat?​

Answers

Answer:

This is one of  the mysteries  of quantum mechanics - a  single photon in classical mechanics is sent out in a circular arc - but when the arc interacts with a distant object the entire wave front collapses and delivers the entire energy of the photon to the object in question.

An analogy has been give as a pop  bottle thrown into the water in New York with its energy spreading out in a circular arc and at some time later  the wave front strikes a pop bottle in the water in Japan with the result of the wave front delivering its entire energy to the bottle with the bottle jumping out of the water.

If you move 50 meters in 10 seconds, what is your speed?

Answers

Answer: 5 meters per second (5mps)

Explanation:

Simply take 50 and divide it by 10

\(\frac{50}{10} =5\)

The atmosphere of which of these Solar System bodies is primary, as opposed to secondary, in origin?
a. Venus
b. Earth
c. Saturn's moon Titan
d. Saturn
e. Mars

Answers

The atmosphere of the (b) Earth is primary, as opposed to secondary, in origin.

The Earth's atmosphere is predominantly composed of nitrogen, oxygen, and trace amounts of other gases. It has been formed and modified over billions of years through various processes, including outgassing from volcanic activity, chemical reactions involving elements present during the planet's formation, and biological activity.

On the other hand, the atmospheres of Venus, Saturn's moon Titan, Saturn, and Mars are considered secondary in origin. These bodies have atmospheres that have been significantly influenced by processes such as volcanic outgassing, atmospheric escape, and interaction with solar radiation and particles.

Their atmospheres may contain different compositions and properties compared to the Earth's atmosphere. Therefore, the correct answer is (b) Earth.

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What is the direction of the force in the part a? specify the direction as an angle counterclockwise from the positive x-axis

Answers

In order to determine the direction of the force in part a, we need to look at the orientation of the vector that represents the force.

We can see that the force vector is pointing in the negative y-direction. To specify the direction as an angle counterclockwise from the positive x-axis, we need to use trigonometry.
First, we can draw a right triangle with the x-axis as the adjacent side and the y-axis as the opposite side. The angle we want to find is the angle opposite the y-axis, which we can label as θ. Using the tangent function, we can solve for θ:
tan(θ) = opposite/adjacent
tan(θ) = -2/5
Taking the inverse tangent (tan⁻¹) of both sides gives us:
θ = tan⁻¹(-2/5)
Using a calculator, we find that θ is approximately -22.62 degrees. Since the question asks for the angle counterclockwise from the positive x-axis, we can specify the direction as 360 degrees - 22.62 degrees, or approximately 337.38 degrees counterclockwise.

The veils In a visual, you must align the second vector's tail with the first vector's. This indicates that the first vector's terminus will be linked to the second vector's starting point. The vector from the tail of the first vector to the head of the second vector will then serve as the symbol for the sum of the two vectors.

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What is thermal energy.

Answers

Explanation:

thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat the flow of thermal energy

The term 'thermal energy' is used differently, and often loosely, in different contexts. It refers to several distinct physical concepts, such as the internal energy, or as the enthalpy, of a body of matter and radiation; or as heat, defined as a type of energy transfer (as is thermodynamic work); or as the characteristic energy of a degree of freedom,
k
B
T
{\displaystyle k_{\mathrm {B} }T}, in a system that is described in terms of its microscopic particulate constituents, where
T
T denotes temperature and
k
B
k_{\mathrm{B}} denotes the Boltzmann constant.

I learned this last week in my Sci-tech class!

As one moves away from a positive point charge, the electric potential:________

Answers

As one moves away from a positive point charge, the electric potential: decreases due to (r) is getting bigger

As the radius between the charges becomes larger the electric potential decreases because the relationship between the two is inversely proportional.

The electric potential formula  is:

Ep = (k * q1 * q2)/r

Where:

Ep = electric potential energyk = coulomb constantq1 = charge 1q2 = charge 2r = separation distance of the charges

What is electrical potential?

In physics the electric potential energy is the energy possessed by an electric charge in reference to another existing electric charge separated by a distance called (r). Its unit of measurement in the international system is the Joule.

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As one moves away from a positive point charge, the electric potential:________

A cyclist moves a distance of 30 m from points A to B in a straught line towards East with a speed of 10 m/s. He then moves a distance of 40 m from points B to C in a straight line towards North with a speed of 20 m/s. Calculate the cyclist's (1) Average Speed, (2) Average Velocity, for the whole journey

Answers

Answer:

Average speed is 14 m/s and average velocity is 10 m/s.

Explanation:

The time consumed to travel from A to B = Distance / Speed = 30 / 10 = 3 seconds

The time consumed to travel from B to C = Distance / Speed = 40 / 20 = 2 seconds

Now, we find the average speed by using the below formula.

Average speed = total distance / total time

Average speed = (30 +40) / (3 + 2)

Avergae speed = 70 / 5 = 14 m/s.

Now find the average velocity.

Average velocity = displacement / time

Displacement, distance between A to C = [(30)^2 + (40)^2]^1/2 = 50 m

Average velocity = 50 / (3+2) = 10 m/s

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57 PLUS BRAINLY POINTS AND GETCROWNED HELP ASAPRead these lines from "The Battle of Blenheim." She saw her brother PeterkinRoll something large and round,Which he beside the rivuletIn playing there had found;He came to ask what he had found,That was so large, and smooth, and round.How does this incident move the action of the poem forward?A.It gives the old man an opportunity to offer his story of the battle and his opinion on war in general.B.It releases the tension created by the earlier vision of children playing so close to a river.C.It is part of the story's falling action, allowing the story to come to a satisfying conclusion.D.It resolves the major conflict of the poem by showing that Peterkin has found something by the rivulet. why the expression -6(5 - k) and 6k - 30 are equivalent. what is the x- intercept of the line 5x-2y=10 how does the republican model of government differ from the majoritarian model of government? 2.Write the equation of the line, in slope-intercept form, that goes through the point ( 3, 6 ) and is parallel to the line: y = ( 2 / 3 ) x + 11. which of the following is based on the principle that people are inwardly enriched by meaningful work and a sense of personal connection with others inside and outside of the organization? a student wants to show that the product of three consecutive positive integers is divisible by 6. unfortunately, they are not convinced that one of these integers must be divisible by 3 (they skipped every lecture during the number theory unit). using induction, write a proof that never uses the fact that one of the integers must be divisible by 3. 3. Twelve disks are randomly selected from 20 defective and 35 good disks; a total of 55 disks. A. How many ways to select 12 computer disks? What counting technique are you applying (M, P,S, or C) ? B. How many ways to select five good and seven defective computer disks? What counting technique are you applying ( M,P,S, or C) ? Identify the conditions. List a few outcomes (i.e., ways of selecting a batch of 12 disks). C. How many ways to select three good and nine defective disks or five good and seven defective disks? What counting technique are you applying (M,P,S, or C) ? I will provide the following: M: Multiplication/Counting Principle: order important and with or without replacement P: Permutation: order important and without replacement S: Special Permutation: order important and with limited replacement C: Combination: order not important and without replacement Practice: Punnett SquaresPart 1: Label the following genotypes as heterozygous or homozygous. You can use abbreviations.1. aahome2. BB home 3. cc_home4. Dd heterPart 2: Based on the following genotypes, determine the phenotype.6. In humans, tongue rolling is dominant to not being able to roll the tongue.TT=Tt-7. In humans, mid-finger hair is dominant to no mid-finger hair.tt ===5. Ee hitel Which sentence uses correct capitalization?O A. Referring to her book, Truth and Justice, Donna Atwood said,"Writing is a journey"B. Referring to her book, Truth and Justice, Donna Atwood said,"writing is a journey."C. Referring to her book, Truth And Justice, Donna Atwood said,"Writing is a journey."D. Referring to her Book, Truth and Justice, Donna Atwood said,"Writing is a Journey." compared to younger rocks, rocks that were created earlier in the earths history are likely to be ________. Why is the use of polished diorite in many depictions of gudea of lagash so significant? Use the drop-down menus to select the bestanswers.v is a life-sustaining, odorlessgas in the air.is a waste product ofrespiration if there is an increases in the number of discouraged workers, what will happen to the unemployment rate Write the slope, intercept equation of the line that passes through the given point, and is perpendicular to the given line which is greater 0.49 or 94% 6. Fill in the blank with the correct article or word before each noun. 2 points each1. Nous avons carte de la France.2. Il y aposters dans la salle de classe?3. Moi, je n'ai pas ___ ordinateur.4. Je n'ai pas __ lecteur de CD.5. Tu as _ ordinateur, toi?A. unB. dC. deD. desE. une What is the equation of this line?o y= -2/3xo y = 2/3xo y = 3/2xo y = - 3/2x Which statement best describes the relationshipbetween the blood of a human fetus and theblood of the mother?a. Their blood systems are separate only at certain times in development and connected at other times.b. The blood flows directly from the mother into the fetus.c. Their blood systems are separate and no materials are exchanged.d. Their blood systems are separate, but certain materials pass from one to the other. Michelle bought 30 marbles at the flea market. She wants to put them into little bags with 6 marbles in each bag. How many bags will she need?