At the position of the stop-light 4 s after the light had turned green. what is the slowest constant speed which the green car can maintain and still catch up to the blue car? answer in units o

Answers

Answer 1

The green car must travel at least 3 m/s in order to catch up to the blue car.

The blue automobile might go slower if the green car is moving faster than it is at the point where the distance between them equals 0. Furthermore, the green automobile will never catch up to the blue car if the blue car moves faster than the green car before they collide.

The blue car's speed as a function of time is given by v(T) = 0.3T. The equation for the position of the green automobile can be rewritten as g(T) = (T-5) *0.3T given the justification for the ideal speed. Set the equations to be equal to one another since we want the distance between the green and blue automobiles to be the same. (T-5) *0.3T = 0.15*T^2 Then, calculate T (T-5) *0.3T = 0.15*T2, where 0.3T2 - 1.5T equals 0.15T2 and 1.5T - 0.15T2 = 0. Our quadratic equation now has the values A = 0.15, B = -1.5, and C = 0.

To determine the roots, which are -4.5 and 10, use the quadratic formula. The interception will happen at T=10 because the number of 10 implies that it will, hence the velocity must be v(T) = 0.3T v (10) = 0.3*10 = 3 m/s. The green car must travel at least 3 m/s in order to catch up to the blue car.

The complete question is- A blue car pulls away from a red stop-light just after it has turned green with a constant acceleration of 0.2 m/s². A green car arrives at the position of the stop-light 7.5 s after the light had turned green. What is the slowest constant speed which the green car can maintain and still catch up to the blue car? Answer in units of m/s.

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Related Questions

university physics with modern physics and mastering physics access code (15th edition), by h. young and r. freedman.

Answers

University physics with modern physics and mastering physics access code (15th edition), by h. young and r. freedman.

Mark Hollabaugh, Normandale community university, EmeritusPhysics encompasses the massive and the small, the old and the modern day. From the atom to galaxies, from electric circuitry to aerodynamics, physics could be very loads part of the arena spherical us. You probable are taking this introductory course in calculus-based physics because of the fact it's far required for next guides that you plan to soak up education for a profession in era or engineering. Your professor wishes you to research physics and to revel in the experience. he or she might be very inquisitive about helping you look at this charming mission. that is a part of the purpose your professor chose this textbook on your path. that is also the purpose Drs. young and Freedman asked me to jot down this introductory segment. We want you to succeed! The cause of this section of university Physics is to give you some ideas with a purpose to assist your studying. particular pointers on the manner to use the textbook will comply with a short dialogue of modern day have a have a look at behavior and techniques.

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A pig on roller skates is moving with an initial velocity of -10 m/s and is accelerating at a rate of 2m/s/s, therefore the pig is __________during the next 2 seconds.

A. moving faster in the positive direction
B. moving slower in the positive direction
C. moving slower in the in the negative direction
D. moving faster in the negative direction

Answers

The pig is moving slower in the negative direction during the next 2 seconds.

What is acceleration?

The term acceleration refers to the change in the velocity of the object with time. Now we know that velocity is a vector quantity. This implies that we have to take the magnitude and the direction into focus when we are discussing about the velocity.

Similarly, the acceleration is a vector quantity and the magnitude and the direction must also be taken into account when dealing with the acceleration.

In this case, it is clear that a  pig on roller skates is moving with an initial velocity of -10 m/s and is accelerating at a rate of 2m/s/s.

Seeing that the velocity is negative, we can see that the pig roller coaster is moving the negative direction. Recall that the axes must be defined such that one is negative and one is positive.

Having said that, we can conclude that; the pig is moving slower in the negative direction during the next 2 seconds.

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How does the direction of motion of the bar magnet affect the direction of deflection of the galvanometer needle?

Answers

If the motion (or polarity of the magnet) is reversed, the direction of deflection in a galvanometer is also reversed.

What is galvanometer?

An electromechanical device used to measure electric current is a galvanometer. Early galvanometers were not calibrated, but later models, known as ammeters, were, and could measure current flow more precisely.

If the motion (or polarity of the magnet) is reversed, the direction of deflection in a galvanometer is also reversed. This suggests that an emf is produced anytime the magnetic flux connected to a coil changes.

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student measured the flow time of 10 g of honey at different
temperatures and graphed the data.
What is the independent variable shown on this graph?
O
The independent variable is the amount of honey,
which is not shown on the graph.
O The flow time is the independent variable.
O The tomperature is the independent variable.

Answers

Answer:

what graph?

Explanation:

please give the proper information

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.

The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound. The test get progressively faster as it continues until the student reaches their max lap score.

The PACER Test score is combined in the FitnessGram software with scores for muscular strength, endurance, flexibility and body composition to determine whether a student is in the Healthy Fitness Zone™ or the Needs Improvement Zone™.

the planet earth orbits the sun within a period of one year. in this problem, you may assume the radius

Answers

The correct answer is 29883.3m/s

The pace at w.hich an object's position changes in relation to a frame of reference is known as its velocity, which is a time-dependent quantity. The speed and direction of an object's motion are its velocity. The rate at which an object's velocity changes in relation to time is defined as its acceleration.

The following kinematic equation can be used to connect velocity and acceleration:

v_1=v_0+at

Where v_1 denotes the ultimate velocity, v_0 denotes the starting velocity, a denotes the acceleration, and t is the passing of time.

Calculate the length of the Earth's orbit around the Sun to get started. For this issue, a circle rather than an ellipse can be used to represent the Earth's orbit.

Circumference = C=πD=2πR

=2π(1.5×10km)

=9.424π×10^8

Do a dimensional analysis to convert the speed of the Earth around the Sun from miles per hour to metres per second:

s_earth= 9.424π×10^8/1year × (1year×100m×1day×1hour×1min)/(1km×365days×24hours×3600seconds)

=29883.3m/s

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Help me with this pls I will make brainlest

Answers

Answer:

Help with what??

Explanation:

Explanation:

there is no question to answer..

Two vectors of fixed magnitude, but variable direction, are added. the result has a minimum magnitude of 0 and a maximum magnitude of 200. the magnitudes of these two vectors could be?

Answers

The magnitudes of these two vectors could be the same which could be 100 for each.

What is a Vector Quantity ?

A vector quantity has both magnitude and direction. Some of the examples of vectors quantities are;

ForceVelocityAccelerationMomentumE.T.C

Given that two vectors of fixed magnitude, but variable direction, are added. the result has a minimum magnitude of 0 and a maximum magnitude of 200.

When the two vectors are parallel and move opposite direction to each other, the resultant will be zero. That is,

Resultant vector = 100 - 100 = 0

But when the two vectors are parallel and move in the same direction to each other, the resultant will be 200. That is,

Resultant vector = 100 + 100 = 200

Therefore, the magnitudes of these two vectors could be the same which could be 100 for each.

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A tennis player tosses a tennis ball straight up and then catches it after 1.60 s at the same height as the point of release. (a) what is the acceleration of the ball while it is in flight?

Answers

Answer:

The acceleration of the ball (excluding air resistance) is

9.80 m/s^2 in the downward direction.

That's all that can be inferred from the problem as it is stated.

If a system has 71.0 j of heat added to it, and the system does 25.0 j of work on its surroundings, what is the change in the internal energy of the system, in j?

Answers

The change in the internal energy of the system is 96 j.

What is internal energy ?

The change in the internal energy of the system is given by

              Δ U = Q + W

Q = 71.0 j

W = 25.0j

Δ U = Q + W

Δ U = 71 +25

Δ U = 96 j

The system's kinetic energy and potential energy together make up the system's internal energy. When a reaction is conducted at a constant pressure, the internal energy change (U) of the reaction is equal to the heat acquired or lost (enthalpy change).

A thermodynamic system's internal energy is its total internal energy. It is the energy required to build or prepare the system in the internal state that it is in at the time.

In thermodynamics, internal energy is a quantity or state function that characterizes a substance's energy when capillary effects and other external fields, such as electric and magnetic forces, are absent.

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A parallel plate capacitor has a plate area of 0.565 m2 and a plate separation of 1.85 mm . what is its capacitance?

Answers

1.72*10^-9

On an empty capacitor, there is no dielectric so E= 8.85E-12

C=EA/(d)

c is capacitance, A is area , d is distance between the parallel plate and E is dielectric constant.

C=(8.85E-12 c2/Nm2)(0.535m2)/ (2.75*10^-3m)

C= 1.72*10^-9

Capacitance is the ability of a dielectric to hold or store an electric charge.Dielectric constant is a  factor that indicates the ability of an insulator to concentrate electric flux, also known as relative permittivityDielectric strength is the ability of a dielectric to withstand a potential difference without internal arcingDielectric absorption is the nability of a campacitor to discharge completely to zero. This is sometimes called battery action or capacitor memory.

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the star thuban in draco group of answer choices lies as the center of the precession cycle. lies halfway between the bowls of the big and little dippers. is used to locate the vernal equinox. is brighter than polaris. was an excellent north pole star in 3,000 bc.

Answers

The correct option is option (D) Was an excellent north pole star in 3,000 BC.

About the Thuban StarDraco’s northernmost constellation

Thuban (/jubaen/), also known as Alpha Draconis or Draconis, is a binary star system. It is a faint star in the Northern Hemisphere’s night sky, but because it served as the north pole star from the fourth to the second millennium BC, it is noteworthy historically. Thuban is the only member of Johann Bayer’s secondary magnitude class in the constellation Draco, despite the fact that at its current apparent magnitude of 3.65, it is 3.7 times fainter than Gamma Draconis (formerly called Eltanin), the brightest star in the constellation, which Bayer placed in his tertiae magnitude class despite its current apparent magnitude of 2.24.Thuban’s positioning regard to the Big Dipper (also known as the Plough) asterism of Ursa Major makes it very simple to see in the night sky under ideal viewing conditions. The two inner stars, Phecda and Megrez, point to Thuban, which is located only 15 degrees of arc from Megrez.Thuban is not bright enough to be seen in locations with significant light pollution.  

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Consider the electronic transition from n = 7 to n = 4 in the hydrogen atom. is light absorbed or emitted? calculate the energy, the frequency and wavelength (nm) of the photon involved.

Answers

Light is emitted, energy is  9.16 × [tex]10^{-20}[/tex] J , frequency is 1.38 × [tex]10^{-14}[/tex] [tex]s^-[/tex]    

and wavelength is  2.17 × [tex]10^{-6}[/tex] m      

Explanation

n = 7 → n = 4

higher → lower

Light is emitted

[tex]\Delta[/tex]E = [tex]\frac{-13.6}{7^2} - (\frac{-13.6}{4^2})[/tex]

[tex]\Delta[/tex]E = 0.85 - 0.277

     = 0.572 eV

[tex]\Delta[/tex]E = 9.16 × [tex]10^{-20}[/tex] J              -> [energy calculated]

[tex]\Delta[/tex]E = hv           (h is Planck's constant and v is frequency)

v = [tex]\frac{\Delta E}{h}[/tex]  = [tex]\frac{9.16 * 10^{-20}}{6.626 * 10^{-39}}[/tex]

v = 1.38 × [tex]10^{-14}[/tex] [tex]s^-[/tex]                 ->[frequency calculated]

[tex]\Delta[/tex]E = [tex]\frac{hc}{\Lambda}[/tex]            (c is speed of light)

[tex]\Lambda[/tex] = [tex]\frac{hc}{\Delta E}[/tex]

[tex]\Lambda[/tex] = [tex]\frac{6.626 * 10^{-34} . 3*10^8 m/s}{9.16 *10^{-20 J} }[/tex]

[tex]\Lambda[/tex] = 2.17 × [tex]10^{-6}[/tex] m                    ->[wavelength calculated]

What is energy?

Energy, according to scientists, is the capacity for work. The ability to transform energy from one form to another and use it to perform tasks is what makes modern civilization possible. People utilize energy to travel by foot and bicycle, drive vehicles on land and in water, prepare meals on stoves, create ice in freezers, illuminate our homes and workplaces, create goods, and launch people into space.

Energy comes in a wide variety of forms, including:

HeatLightMotionElectricalChemicalGravitational

These energies can be divided into two categories for working energy:

Potential or stored energyKinetic or working energy

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Where do you feel courage in your body and why? (with explanation) plsss answer it i need answer now plss

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A hallmark of courage is being ready and willing to face challenging or uncomfortable circumstances. The word "bravery" is similar. It can also include doing so, even though confronting these situations fearlessly is generally thought of as showing courage.

In reality, courage is the capacity to move forward in the face of fear. The ability to behave bravely in the face of any anxiety or tension is what is meant by having courage. One of the finest ways to be courageous is to recognize your fears and then decide not to let them stop you. having the guts to handle risk in a responsible manner as opposed to acting cowardly or irrationally confident.

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how is the rating of the branch-circuit protective device affected when the conductors used are of a larger size than called for by the code?

Answers

The rating of the branch-circuit protective device is affected when the conductors used are of a larger size than called for by the code of up the amps and up the AWG.

Branch circuit protection devices are also known as UL 489 circuit breakers.

These devices are tasked to provide protection to all sorts of circuit wiring by keeping in control the amps and AWG.

In addition to this, they also help prevent fire and electric shocks and are also suitable for electrical isolation.

During the maintenance period, they limit the flow of current and also serve as means to cut off the electricity supply.

If large-sized conductors are used then the performance of the branch-circuit protective device may get affected.

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a cylindrical resistor element on a circuit board dissipates 1.2 w of powera cylindrical resistor element on a circuit board dissipates 1.2 w of power

Answers

The amount of heat this resistor gives in 24 hours and heat fiux q is mathematically given as

Qd=4340.589 W/m^2

What is the amount of heat this resistor gives in 24 hours and heat fiux q?Generally, the equation for Qt is mathematically given as

Q_t amp;=Q*time

amp;=1.2 *J*(24*3600)

Q_damp=03680J

Q_damp;=103.680

[tex]A_s &=\frac{\pi}{4} d^2 \times 2+\pi d L \\\\A &=\frac{\pi}{4} \times 0.4^2 \times 2+\pi \times 0.4 \times 2[/tex]

A amp;=2.764601 cm^2

[tex]\\\q &=\frac{1.2 \times 104^{+}}{2.764601}=4340.589(\mathrm{~W} / \mathrm{m})[/tex]

qamp;=4340.589mm^2

In conclusion,

Qd=103.680Jq

Qd=4340.589 W/m^2

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explain the components of vector. if the magnitude a and direction θ of a two-d vector a are given, how do you calculate the components? give one sample. chegg

Answers

In a two-d coordinate system, every vector can be broken down and considered as the x-component and y-component.

The sample

A vector quantity has two characteristics, a magnitude and a direction. And these two characteristics are accompanied by two components.

If the vector is V, then these components can be represented as vx and vy.

These vx and vy are the parts of the vector that are generated along the axes of the coordinate plane.

Any vector with a two-dimensional direction can be conceived of as having two distinct parts. A single vector's component specifies how that vector acts in a certain direction.

If the magnitude of the vector is given as a and the direction is given as [tex]\theta[/tex] of a two-dimensional vector, then the components of the vector can be found out using the following formulas:

vx=vcosθ for the x component

and

vy=vsinθ for the y component

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a projectile is launched from level ground with an initial speed v0 at an angle θ with the horizontal. if air resistance is negligible, how long will the projectile remain in the air?

Answers

The time of flight of the launched particle will be 2v₀ sinθ / g.

What is kinematics?

The study of motion without considering the mass and the cause of the motion.

A projectile is launched from level ground with an initial speed v₀ at an angle θ with the horizontal. If air resistance is negligible.

Then the time of flight of the launched particle will be given as,

Determine how long it requires the projectile to reach its highest point in order to calculate the flight duration. Just twice as long as the maximum altitude is the travel time.

[tex]\rm v_y = v_{o_y} + a_y t[/tex]

At maximum height, [tex]\rm v_y = 0[/tex].

The time to reach maximum height is given as

[tex]\rm t_{1/2} = - \dfrac{v_{o_y} }{ a_y}[/tex]

The time of flight is given as,

[tex]\rm t = 2 \times t_{1/2} = - \dfrac{2v_{o_y}}{ a_y}[/tex]

Substituting in [tex]\rm v_{o_y} = v_o \ \sin(\theta ) \ and \ a_y = -g[/tex], then we have

The time of flight of the launched particle will be 2v₀ sinθ / g.

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An electron moves in an electric field. Does it move toward regions of higher potential or lower potential? explain.

Answers

The electric fields is always directed from higher potential to the lower potential.

An electron moves in an electric field. Does it move toward regions of higher potential or lower potential?

The electric fields always aiming from the region of higher potential to the region of lower potential. So the force of electrostatic and the direction of the travel of electrons will be always from lower potential to the region of higher potential.

An electric field is defined as the physical field which covers the electrically charged particles and also they can apply force on all other charged particles.

So we can conclude that the electric fields is always directed from higher potential to the lower potential.

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The position of a particle undergoing simple harmonic motion is given by: x = 2 cos (50t). what is its maximum velocity?

Answers

The position of a particle undergoing simple harmonic motion is given by:

x = 2 cos (50t).

The maximum velocity is 100 m/s.

What is meant by Simple Harmonic Motion, refer to:

Simple harmonic motion is described as an oscillatory motion in which the acceleration of the particle is directly proportional to the displacement from the mean position. It is a special case of oscillatory motion.All the Simple Harmonic Motions are oscillatory and also periodic, but not all oscillatory motions are SHM.

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which low-energy state of condensed matter is characterized by structural rigidity and resistance to changes of shape or volume? gas

Answers

Low-energy state of condensed matter is characterized by structural rigidity and resistance to changes of shape or volume is solid.

What is solid?

When particles are arranged and packed closely -- compared to those in a gas or liquid -- and are relatively stable, they are considered to be in solid state. Solids tend to have a rigid shape, as the atoms or molecules of matter in the solid state are generally compressed and tightly connected through the chemical bonds. These bonds can produce an amorphous shape or regular lattice.

In electronics, the solid state refers to components and systems based entirely on semiconductor materials, such as silicon, germanium or gallium arsenide. Transistors and diodes -- the most common solid-state devices -- are often combined with resistors, capacitors and other components to create the integrated circuits (ICs). All the electronic systems incorporate ICs and, therefore, transistors.

The particles that make up solid have the lowest energy, and vibrate in place. This results in the characteristics of a solid, such as definite shape and volume. A solid is actually the frozen state of matter for substance. A substance does not have to freeze at cold temperature. For example, the faucet you have at your lab station in chemistry, and the faucets in your home are frozen the stainless steel; and so is your desk, pencils, pens, cell phones, and computers are all frozen. In fact anything solid is frozen.

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A 1kg block sits 75m from the left. if the board is 4kg, where should the pivot point be placed to balance?

Answers

The pivot point should be placed 15m right from the 4kg board and 60m left from 1kg block to be balanced.

Explanation

Let d block be x and d board be y      

so, x + y = 75   ...1

This problem needs to add torques about the pivot point. In order to be balanced, the torque must be equal on each side of the pivot point.

T block =T board

Use the equation for torque in this equation.

(F block)(d block )=(F board )(d board )

The force of each object will be equal to the force of gravity.

(m block )g(d block )=(m board )g(d board )

Gravity is cancelled from each side of the equation. for simplicity.

(m block )(d block )=(m board )(d board )

⇒ 1 kg × x = 4kg × y

⇒ 1/4  = x/y    

⇒ x = 4y     ...2

Now applying eq 2 in eq 1 we get

⇒ 4y + y = 75

⇒ 5y = 75

⇒ y = 75/5

      = 15

Thus, the pivot point should be placed 15 m right from the 4kg board and 60 m left from 1kg block to be balanced.

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At+what+speed,+as+a+fraction+of+ccc,+will+a+moving+rod+have+a+length+55+%%+that+of+an+identical+rod+at+rest?

Answers

The speed of a moving rod that has a length 55 % that of an identical rod in terms of c will be v/c= 0.824

or v = 0.824c.

The formula for length contraction rod is,

L = L1{√(1-v^2/c^2)}

Here L is the length of the moving rod

L1 is the length of the stationary rod

v is the velocity with which the rod is moving

c is the speed of light

We are given that

L = 55% of L1 = 0.55L1

Putting the values in the above equation,

0.55L1 = L1{√(1-v^2/c^2)}

0.55 = {√(1-v^2/c^2)}

Squaring both sides

(0.55)^2 = 1- v^2/c^2

V^2/c^2 = 1 - 0.3025

V^2/c^2 = 0.6975

v/c = 0.824

Thus, the speed of  a moving rod that has  a length 55 % that of an identical rod in terms of c will be v/c= 0.824 or v = 0.824c.

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In your own words, describe how matnothing


ter is identified.

Answers

anything that takes up space and can be weighed or anything that has volume and mass

a.) What is its instantaneous velocity at t=10.0s?

b.) What is its instantaneous velocity at t=30.0s?

c.) What is its average velocity between t=0 and t=5.0s?

d.) What is its average velocity between t=25.0s and t=30.0s?

e.) What is its average velocity between t=40.0s and t=50.0s?

Answers

(a) Its instantaneous velocity at t = 10.0s is 0.4m/s.

(b) Its instantaneous velocity at t = 30.0s is 0.5 m/s.

(c) Its average velocity between t = 0 and t=5.0s is 0.6 m/s.

(d) Its average velocity between t = 25.0s and t=30.0s is 1.4 m/s.

(e) Its average velocity between t=40.0s and t=50.0s is -1 m/s.

What is instantaneous velocity?

Instantaneous velocity is defined as the velocity of an object under motion at a specific point of time.

instantaneous velocity at t=10.0s

at time, t = 10 seconds, x = 4 m

v = 4 m / 10 s = 0.4 m/s

instantaneous velocity at t=30.0s

at time, t = 30 seconds, x = 15 m

v = 15 m / 30 s = 0.5 m/s

average velocity between t=0 and t=5.0s

v(avg) = Δx / Δt

v(avg) = (3 - 0)/(5 - 0) = 0.6 m/s

average velocity between t=25.0s and t=30.0s

v(avg) = Δx / Δt

v(avg) = (15 - 8)/(30 - 25) = 1.4 m/s

average velocity between t = 40.0s and t = 50.0s

v(avg) = Δx / Δt

v(avg) = (10 - 20)/(50 - 40) = -1 m/s

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Data can be arranged in visual displays called blank to make identifying trends easier

Answers

Data can be displayed as graphs, which are graphic representations, to help identify trends more quickly.

A graph is a visual representation of the relationship between two variables, typically two variables that are measured along an axis that is perpendicular to the other two axes. A graph, in a nutshell, is a visual representation of data for easy comprehension. Graphs are commonly used to show scientific data so that readers may immediately see trends. Graphs are often used in the social sciences to visually convey important information. A network's connection between lines and points is represented mathematically by a graph. The points and arcs that connect them make form a graph.

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Tron accelerates vertically upward, traveling 4.50 m in the first 3.00 ms after it is released. (a) what are the magnitude and direction of the electric field?

Answers

When Tron accelerates vertically upward, traveling 4.50 m in the first 3.00 ms after it is released. Then magnitude of the electric field is E= 3.4893 N/C.

What is electric field?

The electric force per unit charge is referred to as the "electric field." It is thought that the field's direction corresponds to the force it would apply to a positive test charge.

The SI unit for the electrical field is volts per meter (V/m). This unit is equivalent to the Newtons per coulomb. Both Newton, which represents for force, and Coulomb, which stands for charge, are the ancestors of these units.

Around a charged object, an electric field is produced that affects the surrounding environment.

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If an object’s velocity is changing direction but not magnitude, what direction is the acceleration pointing?.

Answers

Answer:

a = (v2 - v1) / t

If the velocity is changing but not the magnitude of speed then

the change in velocity is directed perpendicular to the current velocity of the object

(An example is an object undergoing uniform circular motion where the speed of the object around the circle is constant but the change in velocity is always directed toward the center of rotation)

5. George walks to a friend's house. He walks 750 meters North, then realizes he walked too far.
turns around and walks 250 meters South. The entire walk takes him 13 seconds. What is his speed
per second?
1000m S=76.92m/s
5=735
d=1000m
₁7=135
5=22
S=76.92m/s
what was George's velocity in meters per second? (hint: draw a picture to find his
displacement)
DPERC
quests. 4719
12

Answers

Answer:

Average speed: approximately [tex]76.9\; {\rm m\cdot s^{-1}}[/tex].

Average velocity: approximately [tex]38.5\; {\rm m \cdot s^{-1}}[/tex] (to the north.)

Explanation:

Consider an object that travelled along a certain path. Distance travelled would be equal to the length of the entire path.

In contrast, the magnitude of displacement is equal to distance between where the object started and where it stopped.

In this question, the path George took required him to travel [tex]750\; {\rm m} + 250\; {\rm m} = 1000\; {\rm m}[/tex] in total. Hence, the distance George travelled would be [tex]1000\; {\rm m}[/tex]. However, since George stopped at a point [tex](750\; {\rm m} - 250\; {\rm m}) = 500\; {\rm m}[/tex] to the north of where he started, his displacement would be only [tex]500\; {\rm m}[/tex] to the north.

Divide total distance by total time to find the average speed.

Divide total displacement by total time to find average velocity.

The total time of travel in this question is [tex]13\; {\rm s}[/tex].. Therefore:

[tex]\begin{aligned}\text{average speed} &= \frac{\text{total distance}}{\text{total time}} \\ &= \frac{1000\; {\rm m}}{13\; {\rm s}} \\ &\approx 76.9\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

[tex]\begin{aligned}\text{average velocity} &= \frac{\text{total displacement}}{\text{total time}} \\ &= \frac{500\; {\rm m}}{13\; {\rm s}} && \genfrac{}{}{0px}{}{(\text{to the north})}{}\\ &\approx 38.5\; {\rm m\cdot s^{-1}} && (\text{to the north})\end{aligned}[/tex].

a runner starts from rest and attains a speed of 8.00 ft/s after 2.00 s. what is the runner’s acceleration?

Answers

The runner who starts from rest and attains a speed of 8.00 ft/s, after 2.00 s his acceleration would be 4ft/s^2.

Concept of acceleration.

An object’s velocity can change depending on whether that object moves faster or slower or in a different direction.

A few instances of acceleration include an apple falling to the ground, the moon orbiting the earth, and a car coming to a stop at a stop sign.

Who first proposed the idea of acceleration?

Sir Isaac Newton (1642–1727) defined acceleration in his second law of motion as the relationship between the force acting on an object and its mass: a = f/m.

The meter per second per second square (m/s2) is the unit of acceleration. The newton is the force that causes an acceleration of one newton per kilograms of mass when it acts on that mass.

u=0 (initial speed)

v= 8 ft/sec (speed of the runner)

t = 2s

According to equation of motion,

a = (v-u)/ t = 8/2

a= 4ft/s^2

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An analytical chemist is titrating of a solution of propylamine with a solution of . the of propylamine is . calculate the ph of the base solution after the chemist has added of the solution to it.

Answers

After the equivalence point, pH of the base solution is 1.52.

What is equivalence point?

The number of moles of base = 88.4 x 0.2700 = 23.868

The number of moles of acid = 0.4300 x 66.3 = 28.509

After the equivalence point,

Net moles of acid = 28.509 - 23.868

= 4.641mol

Total vol. of solution = 88.4 + 66.3 = 154.7mL

Conc. of Acid = moles/volume = 4.641/154.7 = 0.03M

pH = [tex]-log[H^{+} ][/tex] = -Log[0.03]

pH = 1.52

Hence, the pH of the base solution is 1.52.

The titration's equivalence point occurs when the amount of titrant applied is just sufficient to totally neutralize the analyte solution. In an acid-base titration, the solution only comprises salt and water at the equivalence point, where moles of base equal moles of acid.

The equivalency point for acid-base titrations is extremely simple to identify. To create a titration curve, different quantities of titrant are added, and then the pH of the solution is measured using a pH meter. Then, the curve's equivalence point can be determined.

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