You testify as an expert witness in a case involving an accident in which car A slid into the rear of car B, which was stopped at a red light along a road headed down a hill (Fig. 6-25). You find that the slope of the hill is u " 12.03, that the cars were separated by distance d " 24.0 m when the driver of car A put the car into a slide (it lacked any automatic anti-brake-lock system), and that the speed of car A at the onset of braking was v0 " 18.0 m/s.With what speed did car A hit car B if the coefficient of kinetic friction was (a) 0.60 (dry road surface) and (b) 0.10 (road surface covered with wet leaves)

Answers

Answer 1

Answer:

A) 12.08 m/s

B) 19.39 m/s

Explanation:

A) Down the hill, we will apply Newton’s second law of motion in the downward direction to get:

mg(sinθ) – F_k = ma

Where; F_k is frictional force due to kinetic friction given by the formula;

F_k = (μ_k) × F_n

F_n is normal force given by mgcosθ

Thus;

F_k = μ_k(mg cosθ)

We now have;

mg(sinθ) – μ_k(mg cosθ) = ma

Dividing through by m to get;

g(sinθ) – μ_k(g cosθ) = a

a = 9.8(sin 12.03) - 0.6(9.8 × cos 12.03)

a = -3.71 m/s²

We are told that distance d = 24.0 m and v_o = 18 m/s

Using newton's 3rd equation of motion, we have;

v = √(v_o² + 2ad)

v = √(18² + (2 × -3.71 × 24))

v = 12.08 m/s

B) Now, μ_k = 0.10

Thus;

a = 9.8(sin 12.03) - 0.1(9.8 × cos 12.03)

a = 1.08 m/s²

Using newton's 3rd equation of motion, we have;

v = √(v_o + 2ad)

v = √(18² + (2 × 1.08 × 24))

v = 19.39 m/s


Related Questions

In what kind of reaction do hydrogen gas (H2) and oxygen gas (O2) form
water (H20)?
A. Replacement
B. Displacement
C. Combination
D. Decomposition

Answers

Answer:

combination

Explanation:

In the equation to make h20 they are both their; they combine to make h20 PLEASE AMRK BRAINLIEST I NEED IT ヾ(•ω•`)o

What is the volume of a liquid with a mass of 0.254 g and a density of 1.00 g/ml?

Answers

0.254 g x (1 g/ml) = 0.254 ml

why should a counterweight be moveable

Answers

A weight known as a counterweight is one that stabilizes and balances a mechanical system by exerting an opposing force.

Why do moveable flight control surfaces have large counterweights installed in the leading edge?

A counterweight's function is to speed up and improve the efficiency of lifting the load, which conserves energy and reduces wear and tear on the lifting apparatus. A weight known as a counterweight is one that stabilizes and balances a mechanical system by exerting an opposing force.

To lift loads up to 120 tons, tower cranes are utilized at large building sites. In a tower crane, a fixed and a moveable counterweight are held by two arms that extend from the center of the structure. For the purpose of balancing the load, the operator moves the mobile counterweight.

For the purpose of providing offset forces in the flight controls, counter weights are used. With less pressure needed to move the controls, this gives them better "feel" and "feedback" forces.

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A counterweight should  be moveable so as to make lifting the load in a faster and more efficient manner.

What is a counterweight?A counterweight is a weight which has a major purpose to help maintain the stability and balance of a mechanical system by exerting an opposing force. A counterbalance or counterweight is usually used to lift a load more quickly and effectively, which saves energy and reduces wear and tear on the lifting apparatus used with it.The potential energy obtained is equivalent to the work done to lift the counterweight.When the counterweight is being displaced by a force that is acting in the same direction as the applied force, the potential energy gained is equal to that distance it is working or kept.

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The sun is more likely to appear red at sunset than in the middle of the day as a result of the
A. scattering of lower frequencies by larger particles in the air.
B. longer path of air through which sunlight travels.
C. lower frequencies of light emitted late in the day by the sun.
D. pollutants emitted by humans in daylight hours.
E. absorption effects of the smaller particles in the air.

Answers

The sun is more likely to appear red at sunset than in the middle of the day as a result of the: scattering of lower frequencies by larger particles in the air. The correct option is (A).

The sun appears red during sunrise and sunset because of the scattering of light by the Earth's atmosphere.

When the sun is at a low angle, the light it emits has to travel through a greater thickness of the atmosphere to reach our eyes.

This means that more of the blue and violet light is scattered away, leaving behind mostly the red, orange, and yellow wavelengths to reach our eyes.

The larger particles in the atmosphere scatter light with longer wavelengths, such as red and orange, more effectively than shorter wavelengths, such as blue and violet.

As a result, the sun appears red at sunset as it emits longer wavelengths of light.

This is known as Rayleigh scattering, and it's why the sky appears blue during the day.

In contrast, during a sunset, the path of light through the atmosphere is much longer, which causes more scattering of the shorter wavelengths and a greater proportion of the longer, redder wavelengths to reach our eyes.

Therefore, the sun appears more red during sunset than it does in the middle of the day.

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you're planning a semester in china, so you want to purchase a transformer to step the 220-v chinese power down to 120 v to power your stereo. part a part complete if the transformer's primary has 700 turns, how many should the secondary have? express your answer as a number of turns. n2

Answers


When traveling to China and bringing electronic devices from another country, it's important to consider the difference in voltage. China's standard voltage is 220V, while countries like the United States use 120V. To power a stereo from the United States in China, you would need a transformer to step down the voltage from 220V to 120V.



To calculate the number of turns needed for a transformer to step down Chinese power from 220V to 120V, we can use the formula:

(Voltage ratio) = (Number of turns in primary coil) / (Number of turns in secondary coil)

In this case, the voltage ratio is:

(220V) / (120V) = 1.83

To step down the voltage by a factor of 1.83, we need the secondary coil to have 1.83 times fewer turns than the primary coil. Therefore, we can calculate the number of turns in the secondary coil (n2) by dividing the number of turns in the primary coil (n1) by 1.83:

n2 = n1 / 1.83

If the primary coil has 700 turns, then the number of turns in the secondary coil would be:

n2 = 700 / 1.83 = 383.06

We cannot have a fraction of a turn, so we would need to round up to the nearest whole number. Therefore, the number of turns in the secondary coil would be:

n2 = 384

So, the transformer's secondary coil should have 384 turns to step down the Chinese power from 220V to 120V for a stereo.

n1 / n2 = V1 / V2

where n1 is the number of turns in the primary coil, V1 is the voltage of the primary coil (220 V in this case), and V2 is the desired output voltage (120 V in this case).

First, let's plug the given values into the transformer equation:

700 turns (n1) / n2 = 220 V (V1) / 120 V (V2)

Step 1: Rearrange the equation to solve for n2:

n2 = 700 turns * (120 V / 220 V)

Step 2: Calculate n2:

n2 = 700 turns * (0.5455)

Step 3: Round n2 to the nearest whole number:

n2 ≈ 382 turns

So, the secondary coil of the transformer should have approximately 382 turns.

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A bike travels at a constant speed of 4.0 m/s for 5.0s. How far does it go?

Answers

Answer:

20 m

Explanation:

1 s = 4 m

5 s = ?

? = (4 x 5) = 20 meters

Answer:

distance = 0.8 m

Explanation:

given:

A bike travels at a constant speed of 4.0 m/s for 5.0s.

find:

How far does it go?

solution:

distance = speed / time

distance = 4.0 m/s

                     5 sec.

distance = 0.8 m

you have finger tips but you dont have toe tips but you can tip toe explain pls

Answers

Answer:

ummmmmmmm

Explanation:

this might be some type of trick question bro lol

or someone tryna play with you if the teacher gave you this question bro she deserves to be fired

a force of 10n causes a spring to extend by 2mm find a,the spring constant of the spring in N/w b,the extension of the spring when 25N is applied c,the force applied that caused an extension of 5mm​

Answers

a. Use Hooke's law to find the spring constant k :

F = kx   ⇒   10 N = k (2 mm) = k (0.002 m)   ⇒   k = 5000 N/m

b. Use Hooke's law again to find the extension x given a force of 25 N :

F = kx   ⇒   25 N = (5000 N/m) x   ⇒   x = 0.005 m = 5 mm

c. We end up with the same force as in part (b) :

F = kx   ⇒   F = (5000 N/m) (5 mm) = (5000 N/m) (0.005 m) = 25 N

A child pulls a sled up a snow-covered hill. The child does 504 J of work on the sled. If the child walks 15 m
up the hill, how large of a force must the child exert?

Answers

Answer: F = 33.6 N

Explanation: work = force · distance or W = F·s

Force F = W/s = 504 J/15 m

what can the magnetic field be used for​

Answers

Answer:

the magnetic field can be used to make electricity

Explanation:

Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current. Electricity generators essentially convert kinetic energy (the energy of motion) into electrical energy

How have workers in the past tried to better their lives? by forming "working schools" where they could continue and improve their education by taking control of factories and running them together as worker councils by frequently changing jobs to find the best possible situation for their lives by pushing for laws that helped improve working conditions and increase wages

Answers

Answer:

My quiz said "by pushing for laws that helped improve working conditions and increase wages."

Explanation:

hopefully this helpes i dont really have an explanation i just got the question right on my quiz

Answer:

by pushing for laws that helped improve working conditions and increase wages. (got it right on usa test prep)

Explanation:

Answer with full steps please!

Answer with full steps please!

Answers

Answer:

B

Explanation:

Because B/5

if i'm wrong sorry but i hope it's help^^

A steel cable with mass is lifting a girder. The girder is speeding up.
Part A Draw a free-body diagram for the steel cable. Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. Vectors Given: Fgravity, Ftension(G on C)
Part B Draw a free-body diagram for the girder. Draw the vectors starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded. Vectors Given: Fgravity, Ftension (C on G)
*You must draw your own free body diagram no diagram is given*

Answers

A free-body diagram is a drawing of an item of interest that removes all nearby objects and shows all of the forces operating on the body.

What is in a free-body diagram?

A free body diagram (FBD; also known as a force diagram)[1] is a graphical representation used in physics and engineering to depict the applied forces, moments, and subsequent effects on a body in a particular situation. It shows a body or bodies linked by forces and moments, as well as reactions that operate on the body (ies).

The structure can be made up of numerous interior parts (such as a truss) or it can be compact (such as a beam). To answer complex issues, a succession of free bodies and other diagrams may be required.

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consider a circuit containing five identical light bulbs and an ideal battery. assume that the resistance of each light bulb remains constant. rank the bulbs (a through e) based on their brightness. what happens to the brightness of bulb c?

Answers

The rank of the bulbs based on their brightness when their resistances remain constant are C>A=B>D=E and C is the brightest among other bulbs

The power that occurs across any resistor is equal to the square of the current through that resistor and resistance. The power in general defines the brightness of the bulb.

It is given that the equivalent resistance of A and B bulb R(AB) = Rx R/R+R = R/2 and the equivalent resistance of bulbs C, D, and E,

R(CDE) = R x (R+R)/ R+R+R =2R/3

Therefore, the power of bub

A= P(A) = I(A)² R(A) = V²/R

As the bulbs A and B have the same resistance,

P(A )=P(B) =V²/R.............(1)

Then the power through bulb C,

P(C) = (2/3 x I(CDE)) x R = (2/3 x (3V/2R)² x R = 3/2 x V²/R..............(2)

Again, the power through D and E bulbs are equal, therefore

P(D) =P (E) = (1/3 x I(CDE)) x R = (2/3 x (3V/2R)² x R = 3/4 x V²/R.............(3)

On Comparing equations (1), (2), and (3), the brightness of the bulbs is ranked as follows:

P(C) > P(A) = P(B) > P(D) = P(E)

Therefore, the rank of the bulbs based on their brightness is C>A=B>D=E

The brightness of bulb C is the brightest among all other bulbs placed in the circuit.

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When humans pollute lakes, rivers, and streams,

Answers

Answer:

when waterways are polluted it affects all forms of life in the area - including us

expression:

for example when Lakes streams and ponds are polluted it can kill or harsh fish and other Wildlife that lives there!

hope that helps !

the jet stream flows: select one: a. directly from west to east. b. directly from east to west. c. from the equator towards the poles. d. in a wavy pattern from west to east.

Answers

The jet stream is a narrow band of strong, high-altitude winds that flow in a westerly direction across the mid-latitudes of the Earth, generally between 30 and 60 degrees latitude in both hemispheres. The correct answer is d.

These winds can reach speeds of over 200 miles per hour and are caused by the differences in temperature and pressure between the polar and tropical regions. As the Earth rotates, the Coriolis effect causes the jet stream to follow a meandering. These waves can have a significant impact on weather patterns, as they can cause areas of high and low pressure to form, which can lead to storms, cold fronts, and other weather phenomena. Correct answer is option: d.

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1. Hearing is also known as
?

Answers

I’m not sure what your quite asking for, but some people say auditory perception instead of hearing

Does any form of movement generate thermal energy?

Answers

Atoms, molecules, and ions are the smallest particles that make up all matter. These microscopic particles are always in motion, either colliding or oscillating back and forth. Heat (or thermal) energy is created by the motion of particles and is found in all matter. As a result, thermal energy may be defined as an object's ability to perform work as a result of particle movement. Thermal energy is a form of kinetic energy, which is the energy associated with motion, because it is generated by the movement of particles.

An Alternating voltage has peek value 14. 14 V its rms value is

Answers

Answer:

10 V

Explanation:

RMS Voltage (Root Mean Square Voltage) of a Waveform is the amount of AC power that produces the same heating effect equal to that of a DC.

The peak voltage is the highest value the voltage of any waveform can attain (that is it is the maximum voltage attained).

The RMS voltage is given as:

\(V_{rms}=\frac{V_p}{\sqrt{2} } \\\\Given\ V_p=14.14\ V,hence:\\\\V_{rms}=\frac{14.14}{\sqrt{2} } \\\\V_{rms}=10\ V\)

How much force is required to move a electron through an electric field with strength of 1.375 x 10^19 N/C?

Answers

Answer:

The magnitude of the force required to move the electron through the given field is 2.203 N

Explanation:

Given;

The field strength of the electron, E = 1.375  x 10¹⁹ N/C

charge of electron, q = 1.602 x 10⁻¹⁹ C

The magnitude of the force required to move the electron through the given field is calculated as follows;

F = Eq

F = (1.375  x 10¹⁹ N/C) (1.602 x 10⁻¹⁹ C)

F = 2.203 N

Therefore, the magnitude of the force required to move the electron through the given field is 2.203 N

A student made measurements to determine the specific heat capacity of vegetable oil
Figure 2 shows the equipment used....................
aqa combined science physics higher

A student made measurements to determine the specific heat capacity of vegetable oil Figure 2 shows the

Answers

Using the formula of specific heat capacity, it can be calculated by measuring amount of heat transferred and temperature increased by this equipment.

What is specific heat capacity?

The amount of energy needed to raise the temperature of 1 kilograms of tissue by 1 K (=1°C) is measured by the specific heat capacity of tissue, or c [J/(kg K)].

Frist, the temperature and the amount of heat of the vegetable oil in the beaker be measured. After that, its temperature should be increased up to certain  degrees by using electric heater and all the measurements will be noted.

Then using the formula of specific heat capacity, it can be calculated.

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Answer:

May I ask where you found that paper?

what properties do all mechanical waves share?

Answers

Mechanical waves share amplitude, wavelength, and period.. also transmit energy.

a piece of electronic equipment that is surrounded by packing material is dropped so that it hits the ground with a speed of 5.5 m/s. after contact, the equipment experiences an acceleration of a

Answers

The Plugging the values into the equation for acceleration, we have:

Acceleration = (-5.5 m/s) / Δt

The given information states that a piece of electronic equipment surrounded by packing material is dropped from a certain height and hits the ground with a speed of 5.5 m/s. After the contact with the ground, the equipment experiences an acceleration of 'a'.

To determine the acceleration ('a') experienced by the equipment, we need additional information about the time it takes for the equipment to come to rest after hitting the ground.

If we assume that the equipment comes to rest in a very short duration, we can consider the deceleration during impact as an impulse, which is the change in momentum over time. The impulse-momentum principle states:

Impulse = Change in Momentum

The initial momentum of the equipment just before hitting the ground is given by:

Initial momentum = Mass * Initial velocity

The final momentum of the equipment after hitting the ground is zero since it comes to rest.

Therefore, the impulse acting on the equipment is equal to the initial momentum:

Impulse = Mass * Initial velocity

Now, impulse is also equal to the force applied multiplied by the time of contact (Δt):

Impulse = Force * Δt

Since the equipment is experiencing a deceleration after hitting the ground, the force acting on it is in the opposite direction to its motion.

Now, if we assume that the force is constant during the contact time Δt, we can write the equation:

Mass * Initial velocity = Force * Δt

Dividing both sides by mass, we get:

Initial velocity = Force / Mass * Δt

The acceleration ('a') can be calculated using the equation:

Acceleration = Change in Velocity / Δt

Since the initial velocity is 5.5 m/s and the final velocity is 0 m/s (as the equipment comes to rest), the change in velocity is:

Change in Velocity = Final Velocity - Initial Velocity

Change in Velocity = 0 m/s - 5.5 m/s

Change in Velocity = -5.5 m/s

Plugging the values into the equation for acceleration, we have:

Acceleration = (-5.5 m/s) / Δt

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Energy is conserved in the collision. Write an expression in
terms of photon wavelength to represent the electron’s increase in
energy as a result of the collision.

Answers

In the collision, the energy is conserved. The expression in terms of photon wavelength that represents the electron's increase in energy as a result of the collision can be given by:E=hc/λwhere, E is energy,h is the Planck constant,c is the speed of light, andλ is the wavelength of the photon.

To understand the relationship between energy and wavelength, you can consider the equation: E = hf, where, E is energy,h is Planck's constant, and f is frequency.We can relate frequency with wavelength as follows:f = c/λwhere,f is frequency,λ is wavelength,c is the speed of light. Substitute the value of frequency in the equation E = hf, we get:E = hc/λTherefore, energy can also be written as E = hc/λ, whereλ is the wavelength of the photon.

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When you put a 9. 0 V battery across a bulb, 0. 1 A of current

flows through the bulb. Calculate the resistance of the bulb

Answers

When a 9.0 V battery is connected to a bulb and 0.1 A of current flows through it, the resistance of the bulb is 90 ohms.

When a 9.0 V battery is connected to a bulb and 0.1 A of current flows through the bulb, we can calculate the resistance of the bulb using Ohm's Law. Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to its resistance.

To find the resistance, we can rearrange Ohm's Law equation (V = IR) to solve for R, where V is the voltage, I is the current, and R is the resistance.

First, let's plug in the given values:

V = 9.0 V (voltage)
I = 0.1 A (current)

Now, we can rearrange the equation to solve for R:

R = V / I

Substituting the given values:

R = 9.0 V / 0.1 A

Dividing 9.0 V by 0.1 A, we get:

R = 90 ohms

Therefore, the resistance of the bulb is 90 ohms.

In summary, when a 9.0 V battery is connected to a bulb and 0.1 A of current flows through it, the resistance of the bulb is 90 ohms.

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Which planet is moving most slowly around the Sun?
A) Earth
B) Jupiter
C) Venus
D) They are all moving with the same speed around the Sun.

Answers

Among the options mentioned above, the planet that is moving most slowly around the sun is Venus. Hence, the correct answer is option C. Venus.

The planets move around the sun in elliptical orbits with varying speeds. These speeds are determined by the distance of the planet from the sun. The planet closest to the sun moves the fastest, while the planet farthest from the sun moves the slowest.

Venus is the second planet from the sun, orbiting it every 224.7 Earth days. It is also the planet with the slowest rotation, taking approximately 243 Earth days to complete a single rotation. Venus's slow rotation makes a day on Venus longer than a year on Venus.To arrive at the main answer, Venus is the planet moving most slowly around the sun among the options given.

Planets move around the sun at different speeds as they orbit the sun. The speed of the planets varies depending on their distance from the sun. The closer a planet is to the sun, the faster it moves, while the farther away it is, the slower it moves.

This phenomenon is due to the gravitational pull of the sun, which pulls each planet towards it. When a planet is farther from the sun, the gravitational force is weaker than when it is closer to the sun.Venus is the slowest-moving planet in the solar system around the sun. It orbits the sun in an elliptical orbit every 225 Earth days.

Despite being the second planet from the sun, it moves slower than Earth, which orbits the sun in 365.24 days. Its slow speed is because it is the closest planet to the sun, and the gravitational pull of the sun is stronger on Venus than on Earth. It is estimated that Venus takes 224.7 Earth days to orbit the sun at a speed of 35.02 kilometers per second. Venus's slow rotation also makes a day on Venus longer than a year on Venus.

To conclude, Venus is the planet moving most slowly around the sun.

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if an object were to suddenly shrink and decrease its moment of inertia by a factor of 3, what is the difference in energy between the final and initial rotational kinetic energies?

Answers

The difference in energy between the final and initial rotational kinetic energies is -(2/3) times the initial rotational kinetic energy.

The rotational kinetic energy of an object is given by the formula:

\(K_rot = \frac{1}{2} * I * w^{2}\)

where K_rot is the rotational kinetic energy, I am the moment of inertia, and ω is the angular velocity.

If the moment of inertia of an object decreases by a factor of 3, then the rotational kinetic energy will decrease by a factor of 3 as well.

Let K1 be the initial rotational kinetic energy of the object, and K2 be the final rotational kinetic energy of the object. Then, we can write:

K2 = (1/3) * K1

The difference in energy between the final and initial rotational kinetic energies is:

ΔK = K2 - K1

ΔK = (1/3) * K1 - K1

ΔK = \(-(2/3)*k1\)

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Which graph MOST LIKELY shows gravity's effect on a baseball thrown straight up? [Consider only the absolute value of thevelocity)-)A)AB)BC)C D)D

Answers

When we throw a ball straight up the speed will decrease until the ball stops, after that the ball will begin to incease its speed down until we catch it. Therefore the correct graph is D.

any example of acceleration related to human body???
answer quickly plz :)

Answers

Answer:

Acceleration stress, physiological changes that occur in the human body in motion as a result of rapid increase of speed. ... A force of 3 g, for example, is equivalent to an acceleration three times that of a body falling near Earth.

Water has 10 times the specific heat capacity compared to iron. How much water would be needed to absorb the same amount of heat as a piece of iron?
100 times the mass of iron
10 times the mass of iron
1/100th the mass of iron
1/10th the mass of iron

Answers

Answer: Water has 10 times the specific heat capacity compared to iron. How much water would be needed to absorb the same amount of heat as a piece of iron?

Explanation:

The answer is: 1/10th the mass of iron.

So sorry about that other clown above me, that point farming clown needs to gtfo off the internet.

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