A car is moving with the velocity of 30 m/sec and its velocity increase at the rate of 2 m/sec². How much distance will cover the car in 5 seconds?

Answers

Answer 1
distance = velocity * time + (acceleration * time^2)/2

Plugging in the given values, we get:

distance = 30 m/sec * 5 sec + (2 m/sec^2 * 5 sec^2)/2

This simplifies to:

distance = 150 m + 50 m

So the total distance covered by the car is 200 meterrs.

Related Questions

Are Earthquakes by themselves dangerous? In other words, is there another factor that makes them potentially so deadly?

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Answer:

Is this multiple choice?

Earthquake damage is caused by ground shaking, cracks, landslides, tsunamis, and liquefaction. Earthquake damage from fires is the most important side effect.

Earthquake-induced ruptures can begin with violent ground shaking, breaking the ground, causing landslides, and liquefying the surface. The devastating tremors of a major earthquake can be felt hundreds of kilometers away.

All areas of the Golden State are earthquake-prone. Most of us live within 30 miles of active disease. Earthquakes can shake homes from their foundations, liquefy the ground, and cause landslides.

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a counter is a(n) ________ that can be incremented or decremented each time a loop runs.

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Every time a loop executes, a counter an integer variable can be increased or decreased.

When a loop iterates, a counter is a variable that is routinely increased or decreased. When the number of iterations is known before entering the loop, for-loops are frequently utilised. You can think of while-loops that increment and test a loop variable as shorthand for for-loops. The body line run is managed by the while loop using a boolean test expression. When a condition is not satisfied, a "While" loop is used to repeat a certain piece of code an undetermined number of times. A loop repeatedly runs the same line of program code, unless a control variable called the counter needs to be increased.

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VIsabella uses a voltmeter to measure the voltage of a battery. The voltage reads 9 V when she measures both sides. Make an argument about what the reading will be if she measures the same side of a battery.

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VIsabella measures the same side of a battery, a series circuit's overall resistance rises as the number of resistors in the circuit grows, but the circuit's current falls off.

In a series circuit, what is the total of the voltage drops?Each every voltage drop in a series circuit adds up to the voltage applied to it. In plain English, this means that the voltage dips must equal the voltage coming from the battery or batteries. 6V + 6V = 12V.So long as the resistance is maintained at the same level, an increase in voltage will result in an increase in current. The current will drop, on the other hand, if the resistance in a circuit is raised while the voltage remains constant.A series circuit's overall resistance rises as the number of resistors in the circuit grows, but the circuit's current falls off.        

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A 0. 50 kg ball traveling at 6. 0 m/s due east collides head on with a 1. 00 kg ball traveling in the opposite direction at -12. 0 m/s. After the collision, the 0. 50 kg ball moves away at -14 m/s. Find the velocity of the second ball after the collision.

Answers

The speed of the second ball is 2 m/s.

To calculate the speed of the second ball after the collision, we use the formula:

                         mu+m'I = mv+m'I'm

Here,

m = mass of the first ball

u = initial speed of the first ball

m'= mass of the second ball

I = initial speed of the second ball

v = final speed of the first ball

I'm = final speed of the second ball.

According to the question:

m = 0.50 kg

m' = 1.00 kg

u= 6 m/s

I = -12 m/s (opposite)

v= -14 m/s. (backward)

Substitute these values into the equation taken,

(0.5×6)+[1(-12)] = [0.5×(-14)]+(1×I'm)

Then, Solve for v

(3-12) = -7+I'm

I'm-7 = -9

I'm = -9+7

I'm = -2 m/s

Here, The negative sign will be ignored in the final answer.

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a blizzard is when visability is reduced to ____ and winds are ____ or more for more than 3 hours.

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Blizzards are defined as snowstorms with winds greater than 35 miles per hour (16 m/s) and limited visibility of the less than 0.25 mile (400 m) for three hours or longer.

What percentage of units are AP courses?

Every AP exam with such a score of four or 5 earns the student 4 trimester units of optional credit from USC.Any 2 or four-year institution requires exams before students can enroll.

Are there classrooms at AP College Board?

A College Boards professional account is required to access AP Classroom.You must also completed your AP Program Audit form and submitted it to your administration if you are a first-time AP teacher.

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Cosmologists have speculated that black holes the size of a proton could have formed during the early days of the Big Bang when the universe began.If we take the diameter of a proton to be 1.0* 10^ -15 m, what would be the mass of a mini black hole?

Answers

The mass of a mini black hole with the diameter of a proton is approximately 2.2210^-8 kg.

The mass of a black hole can be calculated using the Schwarzschild radius, which is the radius of the event horizon of a black hole. The Schwarzschild radius (RS) for a black hole with mass M is given by the equation

RS = 2GM/c^2,

where G is the gravitational constant and c is the speed of light. If we know the diameter of a black hole we can calculate the mass using the formula

M=c^2D/4G.

Since the diameter of a proton is 1.010^-15 m, the Schwarzschild radius of the mini-black hole is

RS = 1.010^-15 m/2 = 510^-16 m.

So the mass of a mini black hole is

M = c^2RS/2G

= (310^8)^2 * (510^-16)/(26.6710^-11)

= 2.22*10^-8 kg

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An Eskimo pushes a loaded sled with a mass of 300kg for a distance of 25m over the frictionless surface of hard packed snow. He exerts a constant 170 N force as he does so. If the sled starts from rest, what is its acceleration in m/s^2

Answers

The acceleration of the sled of mass 300 kg is 0.57 m/s².

What is acceleration?

Acceleration is the rate of change of the velocity of a body.

To calculate the acceleration of the sled, we use the formula below.

Formula:

a = F/m............................. Equation 1

Where:

a = AcccelerationF = Forcem = Mass

From the question,

Given:

F = 170 Nm = 300 kg

Substitute these values into equation 1

a = 170/300a = 0.57 m/s²

Hence, the acceleration of the sled is 0.57 m/s².

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A solenoid is connected to a battery as shown in the figure, and a bar magnet is placed nearby. What is the direction of the magnetic force that this solenoid exerts on the bar magnet? (Hint:Think of the solenoid as a bar magnet, and identify what would be its north and south poles.)

Answers

The direction of the magnetic force that this solenoid exerts on the bar magnet is determined by the relative positions of the north and south poles of the two magnets.

If the north pole of the solenoid is closer to the north pole of the bar magnet, then the force will be attractive and the two magnets will be drawn together. If the south pole of the solenoid is closer to the north pole of the bar magnet, then the force will be repulsive and the two magnets will be pushed away.

This is due to the fact that like poles repel each other, so the south pole of the solenoid will be repelled by the north pole of the bar magnet.

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Two masses of 10 kg and 20 kg are separated by a distance of 0.5 m. Calculate the gravitational force between the objects.

Answers

Answer:

Approximately [tex]5.3\times 10^{-8}\; {\rm N}[/tex].

Explanation:

Look up the gravitational constant: [tex]G \approx 6.6743 \times 10^{-11}\; {\rm m^{3}\, kg^{-1}\, s^{-2}[/tex].

When two point masses [tex]M[/tex] and [tex]m[/tex] are separated with a distance of [tex]r[/tex], the gravitational force between the two point masses would be:

[tex]F = (G\, M\, m) / (r^{2})[/tex].

In this question, the masses are [tex]M = 10\; {\rm kg}[/tex] and [tex]m = 20\; {\rm kg}[/tex]. The distance between them is [tex]r = 0.5\; {\rm m}[/tex]. Assuming that the volume of the masses are negligible, the gravitational force between the masses would be:

[tex]\begin{aligned} &\frac{G\, M\, m}{r^{2}} \\ &= \frac{(6.6743 \times 10^{-11}\; {\rm m^{3}\, kg^{-1}\, s^{-2}})\, (10\; {\rm kg})\, (20\; {\rm kg})}{(0.5\; {\rm m})^{2}} \\ &\approx 5.3\; {\rm kg \cdot m\cdot s^{-2} \\ &= 5.3\; {\rm N}\end{aligned}[/tex].

A 6. 0-kilogram cart initially traveling at 4. 0 meters per second east accelerates uniformly at 0. 50 meter per second squared east for 3. 0 seconds. What is the speed of the cart at the end of this 3. 0 second interval?.

Answers

The speed of the cart at the end of 3.0 second interval is calculated to be 5.5 meter per seconds.

What is acceleration and velocity?

Velocity describes how the position changes whereas acceleration describes how the velocity changes.

Given, initial velocity = 4 m/s

mass = 6 Kg and acceleration = 0.5  m/s²

Given, time = 3 s

U is initial velocity, V is final velocity, a is acceleration.

and t is the time measured in seconds.

V= u +at

V= 4 + 0.5 (3)

= 5.5 m/s

So, Final velocity, V = 5.5 m/s.

The speed of the cart at the end of the 3.0 second interval is 5.5 meter per seconds.

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When jeff ran up a hill at 7. 0 m/s, the horizontal component of his velocity vector was 5. 1 m/s. What was the vertical component of jeff's velocity?.

Answers

The vertical component of jeff's velocity is  4.79m/s.

Since gravity's acceleration in the vertical direction constantly affects vertical velocity, it is a unique type of velocity.

We are given that,

Jeff horizontal velocity = V = 7.0m/s

Vector velocity = v₁ = 5.1 m/s

Therefore , the vertical component of Jeff's velocity(V₂) can be calculated by formula,

V = √V²₁ + V²₂

V₂ = √V - V²₂

V₂ = √(7m/s)² -(5m/s)²

V₂ = 4.79 m/s

Since , the vertical component of jeff's velocity would be 4.79m/s.

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the vertical component of jeff's velocity is 4.794 m/s

The rate at which an object's location changes as seen from a certain point of view and as measured by a particular unit of time is defined as its velocity, which is the direction it is travelling in. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.

The motion of celestial objects like satellites, planets, stars, and galaxies is described by a physical theory known as classical mechanics, as well as that of macroscopic objects like projectiles and machine parts. Understanding the current state of a classically governed object makes it possible to predict both its future motion (determinism) and its past motion (reversibility).

Given velocity v = 7.0 m/s, velocity in x direction is vx = 5.1m/s

then [tex](V^{2}) =(Vx_{} )^2 +(Vy_{} )^2[/tex]

[tex](7^{2}) =(5.1_{} )^2 +(Vy_{} )^2[/tex]

[tex](Vy_{} )^2[/tex]=22.99

[tex](Vy_{} )^2[/tex]=4.79 m/s

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Eliza is at the top of a 50-meter high ski half-pipe that has a
slope of 40°. She has a mass of 100 kilograms. If she lets
herself slide from a stand-still down the side of the snowy
ramp, how fast will she be going at the bottom? Use g = 10
m/s/s, and round your answer to the nearest hundredths.
m/s
V=

Answers

Answer:

V=31.62 m/s.

Explanation:

To find the speed at which Eliza will be going at the bottom of the half-pipe, we can use the following formula:

V = √(2gh)

where V is the speed, g is the acceleration due to gravity (10 m/s/s), h is the height of the half-pipe (50 meters), and h is the slope of the half-pipe (40°).

Plugging these values into the formula, we get:

V = √(2 * 10 m/s/s * 50 meters)

V = √(1000 m/s)

V = 31.62 m/s

Thus, Eliza will be going about 31.62 m/s at the bottom of the half-pipe. Rounded to the nearest hundredths, this is 31.62 m/s.

If we have an unmarked magnet, how can we tell which end is the north pole of the magnet? Hold it near a compass and the north end of the compass points at the north end of the magnet. Hold it near a compass and the north end of the compass points at the south end of the magnet. Suspend it from a string and the end that points toward the geographic north pole (Santa's workshop) is the north end. Hold it near a piece of steel and the end that attracts the steel is the north end. The end that is attracted to the south end of a known magnet is the north end. The end that is attracted to the north end of a known magnet is the north end. You hold a loop, like a hula hoop, horizontal outside in the vertical rain. Take water passing downward through the loop as positive water flux. As you hold the loop, the water flux is positive with zero derivative 1 . You then turn the loop so that it is vertical; as you do so the water flux is zero with zero derivative x . When the loop is vertical and still rotating, the water flux is positive with positive derivative X .

Answers

Only if we have another magnet with a marked North and South pole can we perceive the attraction and repulsion between North-South poles and North-North poles, allowing us to determine the location of the unmarked magnet's north pole.

How do you tell which magnet end is the north pole?

Set your magnet close to a compass to determine which pole is north and which is south. The compass needle, which ordinarily points in the direction of the Earth's north pole, will shift in the direction of the magnet's south pole.

How can we determine a magnet's poles when it isn't labeled?

If the magnets are attracted, the unlabeled magnet's south pole is located there, and the north pole is located on the other end.

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a ball is round on a string at 35° with respect to the vertical. if the length of the string is 12cm. how fast must be the ball is spinning?

Answers

Answer:

[tex] \sqrt{ \frac{g}{12 \cos(35) } } [/tex]

where g is acceleration due to gravity

Explanation:

You should consider the tension in the string along the horizontal and vertical axis as well as the force of gravity acting on the ball.

What happens when ice and steam are mixed?

Answers

When steam and ice are combined, the steam condenses, the condensing steam cools, and the two meet at equilibrium somewhere in the middle. State of the system is determined by the equilibrium.

When the system's kinetic state or internal energy state remain constant throughout time. When a basic machine is not being accelerated in either a linear or angular direction, it is in equilibrium. Except until disturbed by outside causes, it remains in this state permanently. When water boils, steam is created, which is an invisible gas made of evaporated water. A visible mist of water droplets is present in the steam when it is visible. Wet steam is what is being discussed here, although dry steam is always visible.

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Condensation of some of the steam causes heat to be released, which raises the temperature of the ice, melts it, and raises the temperature of the ice-water to boiling.

What do you name ice that turns into steam?

"Sublimation" describes the process through which ice evaporates into water without first changing into a liquid. Any solid that transforms into a vapour without first entering the liquid phase is called to sublime or "sublimate," in reality.

Can steam directly from ice?

Sublimation is the transition of a substance from its solid to its gaseous state without passing through a liquid phase. Sublimation is the term most frequently used to describe the process by which snow and ice turn into water vapor (gas) in the atmosphere without first melting into liquid for those of us who are interested in the water cycle.

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A 4 kg projectile launcher is initially at rest. When fired, the 0.010 kg
projectile leaves the launcher at 300 m/s. What is the "recoil" velocity of
the 4 kg projectile launcher? Is this "collision” elastic or inelastic?

Answers

The recoil velocity of the projectile launcher of mass 4 kg is 0.75 m/s, and the collision is inelastic.

What is a velocity?

Velocity is the directional speed of a moving object as an indication of its rate of change in position as observed from a specific frame of reference and measured by a specific time standard. The concept of velocity is fundamental in kinematics, the branch of classical mechanics that describes the motion of bodies.

To calculate the recoil velocity of the launcher, we use the formula below:-

v = mV/M

Where,

v = Recoil velocity

m = Mass of the projectile

M = Mass of the launcher

V = Velocity of the projectile after the launcher was fired

From the question,

Given:

m = 0.010 kg

M = 4 kg

V = 300 m/s

Substituting these values in the formula,

v = 0.01×300/4

v = 0.75 m/s

Therefore, the recoil velocity is 0.75 m/s, and the collision is inelastic.

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Examples of objects moving with high Reynolds number include Select all that apply. a. a paramecium moving in water b. a diving bird c. a race car d. a falling dust particle

Answers

Objects moving with high Reynolds number options 2 and 3 are correct.

When a fluid experiences relative internal movement as a result of various fluid velocities, the ratio of inertial forces to viscous forces is known as the Reynolds number. A boundary layer, such as the bounding surface inside a pipe, is an area where these forces affect how they behave.

Objects moving with relatively high velocity have a high value of Reynolds number.Both, a paramecium moving in water and a falling dust particle, the examples are Where objects are moving very slowly.a On the other hand, diving race car, bird and a are the examples where objects are moving very fast.Hence, examples of objects moving with high Reynolds number include i diving bird and a racing car.

so the options 2 and 3 are correct.

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The number of days, d, it will take manny to read a book varies inversely as the number of pages, p, he reads per day. If k is the constant of variation, which equation represents this situation? a. D + p = k b. Dp = k c. D = pk d. D = p + k.

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An equation represents this situation of the number of days, d, it will take many to read a book varies inversely as the number of pages, p, he reads per day. If k is the constant of variation is Dp=k.

The number of days, d, it will take Many to read a book varies inversely as the number of pages, p, he reads per day. If k is the constant of variation, where k is some constant number called constant of proportionality.

it is based on the inverse relationship concept in which one variable increases, other decreases and vice-versa. like here the two variables are D which is number of days and p which are number of pages are inversely propotional to each other.

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This relationship between the number of days, d, it takes to finish a book and the daily page rate, p, is represented by an equation. If k is the variational constant, then Dp=k.

The amount of days, d, it will take Many to finish a book correlates inversely with the daily page rate, p. If k is a constant called the constant of proportionality, then k is the constant of variation.

It is founded on the idea of an inverted relationship, where one variable rises while another falls, and vice versa. Similar to this, the two variables, D (number of days) and p (number of pages), are inversely proportional to one another.

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How accurate was the Harrison chronometer?

Answers

The Harrison chronometer was incredibly accurate for its time. It was accurate to within half a second a day, which was a major improvement over other marine chronometers of the era. This level of accuracy made the chronometer invaluable for navigators at sea, allowing them to accurately calculate their longitude.

The Accuracy of the Harrison Chronometer: Revolutionizing Navigation at Sea

In the 18th century, sea navigation was a challenge due to the difficulty in accurately calculating longitude. Until the invention of the Harrison chronometer, marine navigators had to rely on the imprecise readings of sundials, the stars, and other less reliable instruments. The Harrison chronometer, designed and built by the English clockmaker John Harrison, was a major breakthrough in navigation technology. This revolutionary instrument was accurate to within half a second a day, a level of precision never before achieved.

The Harrison chronometer was a five-foot-long metal box composed of several different moving parts. It was designed to be able to withstand the harsh conditions of a ship at sea, with a metal casing to protect it from the elements. The chronometer was powered by a spring, and had a double-escape wheel and balance wheel to regulate the timekeeping. It was also equipped with a temperature-compensated pendulum to ensure accuracy in varying temperatures. This combination of components enabled the chronometer to keep time to within half a second a day.

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A ball with mass 0.140-kg moving down with a velocity of 1.20 m/s hit the ground. It then bounces back up with a velocity of 1.00 m/s. Find the change in momentum of the ball

Answers

The change in the momentum of the ball as it drops with a speed of 1.2m/s and then rebounds with a speed of 1m/ s is 0.308 kg m/ s.

An impulse describes a change in momentum. Impulse is required for the force exerted by an object on another body.

Mass of the ball = 0.14 kg. Speed of fall of the ball (downward), V1=1.2m/s. Rebound speed (upward) , V2= 1m/s.

As the ball falls downward, its velocity is negative .When the ball returns, its velocity should increase since it is now moving higher.

So the change in momentum, Δp=mv2−mv1.

As the initial downward velocity is negative,  Δp=(0.14kg)(1m/s)−(0.14 kg)(−1.2m/s) , Δp=0.14 kg m/s+0.168 kg m/s , Δp=0.308 kg m/s.

So the value of change in momentum of the body is 0.308 kg m/ s.

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An object of mass m is attached to an object of mass 2m by a rigid bar of negligible mass and length L. Initially the smaller object is located at rest directly above the larger object. How much work must be done to flip the rod 180° so that the larger object is at rest directly above the smaller object?

Answers

To flip the rod 180°, work must be done against both gravity and the frictional force between the objects.

How much work must be done to flip the rod 180° so that the larger object is at rest directly above the smaller object?Assuming that the system is in a uniform gravitational field, the amount of work done to flip the rod 180° is equal to the change in gravitational potential energy, which is equal to the negative of the product of the masses and the gravitational constant times the distance between them (L):

Work = -m x 2m x G x L

= -2 GmL^2

The work done by gravity will be the same in both positions (neglecting air resistance), so that must be subtracted. The work done against friction depends on the magnitude of the frictional force and the distance between the two objects.Initially, the distance is zero and the frictional force is equal to the static coefficient of friction multiplied by the normal force between the objects. When the rod is flipped 180°, the frictional force is still equal to the static coefficient of friction multiplied by the normal force, but the distance between the objects has increased to L.This means that the total work done to flip the rod 180° is equal to the static coefficient of friction multiplied by the normal force between the objects multiplied by the length of the rod, L.

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An electron is confined to a region of space of the size of an atom (0.1 nm). Use classical mechanics. a) What is the uncertainty in the momentum of the electron in units of eV/c? b) What is the kinetic energy of an electron with a momentum equal to Δp from (a)? c) Does this give a reasonable value for the kinetic energy of an electron in an atom?

Answers

a)The uncertainty in the position & momentum of a particle are related by the equation ΔxΔp ≥ h/4π and b)8.98 x 10⁻¹⁵ eV and c) he value found in (b) is much smaller, on the order of 10⁻¹⁵eV.

Which energy do you mean by kinetic?

Kinetic energy is a type of electricity that is present in a particle or object in motion. When work, which entails the transmission of energy, is done on an object by applying a net force, that object acquires kinetic energy.

a) According to Heisenberg's uncertainty principle, the uncertainty in the position and momentum of a particle are related by the equation ΔxΔp ≥ h/4π, where h is the Planck constant and X represents the position's level of uncertainty.

In this case, the size of the region of space is 0.1 nm, so the uncertainty in the position of the electron is Δx = 0.1 nm.

Plugging this into the equation gives:

Δp = h/4π Δx = h/(4π(0.1 nm)) = 4.14 x 10⁻²⁴ eV/c

b) The kinetic energy of a particle is given by the equation K = (p²)/(2m), where p is the momentum and m is the mass of the particle.

Plugging in the value for Δp from (a) gives:

K = (Δp²)/(2m) = (4.14 x 10⁻²⁴ eV/c)²/(2(9.11 x 10⁻³¹ kg)) = 8.98 x 10⁻¹⁵ eV

c) The kinetic energy of an electron in an atom is typically on the order of several eV. The value found in (b) is much smaller, on the order of 10⁻¹⁵eV. This suggests that the assumption of classical mechanics is not appropriate for describing the motion of an electron in an atom, and that a more complete description using quantum mechanics is required.

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Two uniformly charged pellets A and B are held some distance from each other, and then the charge on A is doubled.
Part A
Which of the following statements is most correct?
A. The magnitude of the electric force exerted on A is doubled because the electric field at the position of B is doubled.
B. The magnitude of the electric force exerted on B is doubled because the electric field at the position of B is doubled.
C. The magnitude of the electric force exerted on A is doubled because the electric field at the position of A is doubled.
D. The magnitude of the electric force exerted on B is doubled because the electric field at the position of A is doubled.

Answers

The correct option is B. The magnitude of the electric force exerted on B is doubled because the electric field at the position of B is doubled.

The repulsive or attractive interplay among any charged bodies is known as an electric-powered force. just like any pressure, its effect and effects on the given frame are defined by means of Newton's laws of motion. the electric force is one of the diverse forces that act on gadgets.

Electric-powered force is the attractive pressure between the electrons and the nucleus. Now, a nice price or a bad price creates a field inside the empty space around it, and we call that empty area an electric field. electrical forces result from mutual interactions between prices. In situations involving three or greater expenses, the electric force on a single charge is merely the result of the blended results of every character fee interplay of that price with all different charges.

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steppe climates can be thought of as occupying transitional positions between deserts and ________.

Answers

Steppe climates can be thought of as occupying transitional positions between deserts and humid climates.

Steppe climates are characterized by a greater amount of precipitation than deserts, but less than humid climates. These regions have a relatively high average annual temperature, and a greater temperature variation between day and night.

These areas have a limited rainy season, with a greater amount of precipitation during the spring and summer months. The steppes also have a higher relative humidity than the deserts, which allows the existence of a greater amount of vegetation. This vegetation is generally made up of grasses and scrub, although it can also include trees and shrubs.

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Fill in the blanks for a 1000 kg roller coaster car. Again, consider it a closed system.

Answers

The height at A and D is 45.92 m and 20.41 m. The potential energy at third position G is 0 J. The kinetic energy at the second position and third positions is 250,000 J (C) and 450,000 J (F). The velocity at each point is 0 m/s (B), 22.36 m/s (E), and 30.0 m/s (H). The acceleration at slide is 3.85 m/s² (I).

Look at the roller coaster at 3 positions. The first position is on the top of the slide, the second position is on the top of a loop, and the last position is on the ground. Formula to calculate the potential energy

PE = m × g × h

m = mass = 1,000 kgg = Acceleration due to gravity = 9.8 m/s²h = heightPE = potential energy (J)At first position PE = 450,000 J
PE = m × g × h
450,000 = 1,000 × 9.8 × h
h = 450,000 ÷ 9,800
h = 45.92 m (A)At second position PE = 200,000 J
PE = m × g × h
200,000 = 1,000 × 9.8 × h
h = 200,000 ÷ 9,800
h = 20.41 m (D)At third position h = 0
PE = m × g × h
PE = 1,000 × 9.8 × 0
PE = 0 (G)

According to the law of conservation of mechanical energy, the mechanical energy is always the same at every point of the path.

ME = PE + KE

ME = mechanical energyKE = kinetic energyFrom first position to second position
ME₁ = ME₂
PE₁ + KE₁ = PE₂ + KE₂
450,000 + 0 = 200,000 + KE₂
KE₂ = 450,000 -  200,000
KE₂ = 250,000 J (C)From first position to third position
ME₁ = ME₃
PE₁ + KE₁ = PE₃ + KE₃
450,000 + 0 = 0 + KE₃
KE₃ = 450,000 J (F)

Formula to calculate the kinetic energy KE = 0.5 × m × v²

m = mass = 1,000 kgv = velocity (m/s)KE = kinetic energy (J)At first position KE = 0
KE = 0.5 × m × v²
0 = 0.5 × 1,000 × v²
v² = 0
v = 0 m/s (B)At second position KE = 250,000 J
KE = 0.5 × m × v²
250,000 = 0.5 × 1,000 × v²
v² = 250,000 ÷ 500
v² = 500
{tex]v \:=\: \sqrt{500}[/tex]
v = 22.36 m/s (E)At third position KE = 450,000 J
KE = 0.5 × m × v²
450,000 = 0.5 × 1,000 × v²
v² = 450,000 ÷ 500
v² = 900
{tex]v \:=\: \sqrt{900}[/tex]
v = 30.0 m/s (H)

From first to second position

Look at the triangle in the attachment
tan 45° = opposite /hypotenuse
0.71 = h/d
d = h/0.71 = 45.92 m ÷ 0.71
d = 64.94 m

From first to second position using non-uniform motion formula

v² = u² + 2ad

u = initial velocity = 0v = final speed = 22.36 m/sd = distance = 64.94 m

v² = u² + 2ad

22.36² = 0² + 2 × a × 64.94)

500 = 129.88a

a = 500 ÷ 129.88

a = 3.85 m/s² (I)

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Select True or False: The expansion of an ideal gas into a vacuum is expected to be spontaneous at high temperature only.

Answers

False. The expansion of an ideal gas into a vacuum is expected to be spontaneous at any temperature.

This is false because the expansion of an ideal gas into a vacuum is expected to be spontaneous only when the temperature is greater than the temperature of the surroundings. This is because the molecules of an ideal gas are assumed to be perfectly elastic and exert no attractive or repulsive forces on each other.

Therefore, when the temperature is increased, the molecules move faster, resulting in higher pressure and volume. When the temperature is greater than the temperature of the surroundings and the volume is reduced, the pressure of the gas will decrease, and the gas will expand into the vacuum spontaneously.

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Two light bulbs are connected to a battery, one at a time. The bulb that draws more current has the...
a) lower resistance, and is brightest
b) lower resistance, but is dimmer
c) higher resistance, and is brightest
d) higher resistance, but is dimmer
e) none of the above

Answers

The brightest bulb has the lowest resistance and draws the most current.

What happens if a battery is linked in series with two bulbs?

The bulb uses four times the power of a single battery when two batteries are connected in series! In this configuration, increasing the voltage causes both the voltage drop across the resistor and the current through it to double. It will shine considerably brighter.

How does the number of bulbs influence the battery's current output?

The resistance heightens. The resistance of a series circuit rises as more bulbs are added. What modifications are made to the circuit's current as additional bulbs are added? The current is reduced by raising the resistance.

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A wheel with moment of inertia 3.00 kg-m2 has a net torque of 3.50 N-m applied to it. What angular acceleration does it experience?

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The angular acceleration experienced by a wheel with moment of inertia 3.00 kg-m2 when a net torque of 3.50 N-m is applied is calculated by dividing the torque by the moment of inertia.

This gives an angular acceleration of 1.17 radians/second2.

The angular acceleration experienced by a wheel with moment of inertia 3.00 kg-m2 when a net torque of 3.50 N-m is applied can be calculated using the following steps:

Calculate the moment of inertia of the wheel: I = 3.00 kg-m2Calculate the net torque applied to the wheel: T = 3.50 N-mCalculate the angular acceleration by dividing the torque by the moment of inertia: a = T/I = 3.50/3.00 = 1.17 radians/second2

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If a bloodstain has a length of 30 cm and a width of 1. 5 cm what is the angle of impact.

Answers

The angle of impact can be calculated as 30°

The angle of impact can be used to determine the appearances of the resulting bloodstain if all the bloodstain has a tail or pattern.

The Bloodstain pattern analysis now is the study of bloodstains at a crime scene in an attempt to reconstruct the events that resulted in the bloodshed.

In forensic science, the angle of impact is calculated as the angle at which a blood droplet can impacts a surface. It is an acute (or right) angle (varying from 0° to 90° ). If we know the angle of impact, all the detectives can partially reconstruct a crime scene by drawing "strings" from the spatter to an origin area.

Formula:

[tex]Angle of Impact = sin^{-1} \frac{(width stain)}{(length stain)}[/tex]

[tex]Angle of Impact = sin^{-1} \frac{(1.5)}{(3.0)}[/tex]

Angle of impact is  30°.

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The angle of impact when the length and width of the bloodstain are given is calculated to be 30°.

The angle of impact can be used to determine the appearances of the resulting bloodstain if all the bloodstain has a tail or pattern.

The Bloodstain pattern analysis now is the study of bloodstains at a crime scene in an attempt to reconstruct the events that resulted in the bloodshed.

The angle of impact is determined in forensic science as the angle at which a droplet of blood can strike a surface. It is a right angle, or acute angle, with a range of 0° to 90°. Detectives can partially reconstruct a crime scene by connecting "strings" from the splatter to an origin place if they are aware of the impact angle.

It is given by the formula,

Angle of impact = sin⁻¹( width of stain/length of stain) = sin⁻¹(1.5/3) = 30°

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a microphone converts sound to an analog electrical signal. how do we convert this to a digital signal? select one: a. listen through your headphones b. we do not c. use adc to convert the analog signal to a digital signal d. use digital to analog convertor

Answers

An analogue into digital (ADC) conversion receives analogue electrical signals that are converted from analogue sound waves via a microphone. The ADC transforms electrical signals into computer-storable digital values.

The term "electrical signal" means what?

A voltage that transmits information is what is known as an electrical signal, though typically a voltage is meant. It can refer to any current or voltage in a circuit. Current That Alternates (AC) Continually changing direction, alternating current (AC) travels in one direction.

Why do electrical signals have a purpose?

A neuron's action potentials, which carry information from one to the other neuron, and its neurotransmitters, which carry information of one neuron to the next, respectively, are the electrical and chemical signals, respectively.

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