helppppppppppppppppppppppppp

Helppppppppppppppppppppppppp

Answers

Answer 1

Answer:

value of x=35°

y=72.5°

hope it helps you

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Related Questions

if a cylindrical space station 275 mm in diameter is to spin about its central axis, at how many revolutions per minute ( rpmrpm ) must it turn so that the outermost points have an acceleration equal to gg ?

Answers

Rotation speed of the space station so that the outermost points have an acceleration equal to 'g' = 2.55 rpm

What is Rotation speed ?

The rate at which the Aeroplan should begin rotating into takeoff attitude is known as V r.

V r, the rotational speed, cannot be lower than V1. A subsequent rejected takeoff may not be achievable within the remaining runway length and is likely to result in a Runway Excursion if it is more than V1 and it is discovered that, at V r, rotation cannot be completed.

V r depends on the weight of the aircraft and the flap position, but it can also change according on temperature, pressure, and altitude.

Gravitational acceleration = g = 9.8 m/s2

Diameter of the space station = D = 275 m

Radius of the space station = R

R = D/2

R = 275/2

R = 137.5 m

Angular speed of the space station = \(\omega (rad/s\))

Centripetal acceleration at the outermost points = ac = g = 9.8 m/s2

ac = \(\omega2R\\\)

9.8 =\(\omega2(137.5)\)

\(\omega \\\)= 0.267 rad/s

Converting from rad/s to rpm,   (1 revolution = \(2\pi radians\) , 1 minute = 60 seconds)

\omega = 0.267 \(\times (\frac{60}{2\pi })\)

\omega = 2.55 rpm

Rotation speed of the space station so that the outermost points have an acceleration equal to 'g' = 2.55 rpm

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How long would it take for someone to bike to school if the school is 10 km away and the
cyclist is riding at 5 km/hr

Answers

Answer:

It would take the cyclist 2 hours to cycle to school.

Explanation:

5km/hr for 2 hours would be 10km.

2. A solid disk with a mass of 0.165 kg and a radius of 0.215 m that is spinning at 35 rad/s counterclockwise can be stopped by a hand in 0.15 sec. What is the average torque exerted on the disk by the hand? (Hint: first use kinematics, then use Newton's second law)

Answers

The average torque exerted on the disk by the hand is -5.49 Nm.

What is torque?

Torque can be defined as a force exerted at a distance from the axis of rotation.

To find the average torque exerted on the disk, we need to calculate the angular acceleration and then use the equation for torque:

Torque = I * alpha, where I is the moment of inertia and alpha is the angular acceleration.

First, let's find the angular acceleration:

Initial angular velocity = 35 rad/s

Final angular velocity = 0 rad/s

Time = 0.15 s

Using the kinematic equation for angular acceleration:

alpha = (Final angular velocity - Initial angular velocity) / Time

alpha = (0 - 35) / 0.15

alpha = -233.33 rad/s^2

Next, let's find the moment of inertia of the solid disk:

I = (1/2) * m * r^2

I = (1/2) * 0.165 kg * (0.215 m)^2

I = 0.0234 kg m^2

Finally, let's find the average torque:

Torque = I * alpha

Torque = 0.0234 kg m^2 * -233.33 rad/s^2

Torque = -5.49 Nm

Therefore, The average torque exerted on the disk by the hand is -5.49 Nm.

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22. Which unit of measure never is used in the International System of
Units?
inches
milliliters
grams
centimeters

Answers

Answer:

Inches

Explanation:

An inch is a unit of measurement in the Imperial system of measurement. Everything else is used in the International System of Units.

The unit of measure never is used in the International System of Units is inches. The correct option is A.

What is International System of Units?

The International System of Units, abbreviated SI in all languages and sometimes pleonastically as the SI system, is the modern version of the metric system and the world's most widely used measurement system.

The International System of Units (SI), also known as the French Système International d'Unités, is a decimal international system of weights and measures derived from and expanding on the metric system of units.

The 11th General Conference on Weights and Measures adopted it in 1960, and it is abbreviated SI in all languages.

The International System of Units (SI) is a measurement system based on seven basic units: the metre (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (quantity), and candela. These base units can be combined with one another.

Thus, the correct option is A.

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Make a free-body diagram of someone pushing a refrigerator that shows:
a. A net force of 100 N with the refrigerator being pushed to the right.
b. The refrigerator is balanced on the floor.

Make a free-body diagram of someone pushing a refrigerator that shows:a. A net force of 100 N with the

Answers

The free body diagram allows to find the results for the forces applied on the refrigerator are;

       a) Free-body diagram with applied force.

       b) Free-body diagram without applied force.

A free-body diagram is a diagram of the forces without the details of the body, these diagrams are important to clearly visualize the forces and the coordinate systems against which to take measurements.

In the attached we have a free-body diagrams for a refirerator, represented by the box where the forces are appreciated:

The weight that the forces exerted by the earth on the refrigerator. The Normal which is the reaction of the earth to the support of the refrigerator. The force applied by the person. The friction force which is the force between the two surfaces that opposes the movement of the refrigerator.

Newton's second law states that the net force is proportional to the mass times the acceleration of the body.

             ∑ F = ma

where F is the force, m the mass and the acceleration

          ∑ F = F - fr = 100 N

          a = 100 / m

In conclusion with the free body diagram we can find the results for the forces applied on the refrigerator are;

a) Free-body diagram with applied force.

b) Free-body diagram without applied force.

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Make a free-body diagram of someone pushing a refrigerator that shows:a. A net force of 100 N with the

The graph depicts the temperature curves for two substances labeled as substance X and Y.
Why does the temperature remain constant as heat is added to each substance in the regions labeled A to B, C to D, and A' to B', and C' to D'?
Based on the curve for either substance X or substance Y and using what you know about the particulate nature of matter, and the relationship between temperature and potential or kinetic energy, describe why adding heat leads to the step-wise change in temperature depicted in the graphs.

The graph depicts the temperature curves for two substances labeled as substance X and Y.Why does the

Answers

The heat supplied to increase the temperature of the substance is used up to transform the state of matter of that substance. Hence the temperature of the substance stays constant until the phase transition completes.

What is the phase transition?

In chemistry, phase transitions or phase changes are the physical processes of transition between a state of a medium of a substance. This term is used to refer to changes in the basic states of matter such as solid, liquid, and gas.

When a substance is heated or cooled and approaches a temperature corresponding to one of its phase transitions. Further gain or loss of heat results in diminishing or enhancing intermolecular attractions, instead of changing the molecular kinetic energies.

While a substance is undergoing a change in state which is a phase transition, its temperature remains constant. The horizontal lines on the graph represent the transition between the states of the substances X and substances Y.

When adding heat leads to the temperature of a substance being increased as the kinetic energy of the molecules of the substance increases. The conduction of heat occurs when these molecules start vibrating with high energy, Hence the heat transfer from one molecule to another.

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pls help me with this question I need it by Monday thanks Q1 and 2​

pls help me with this question I need it by Monday thanks Q1 and 2

Answers

1) current

2) in series

3) voltage

4) In parallel

How are ammeters and voltmeters connected?

Ammeters are connected in series with the component or part of the circuit being measured, so that the entire current flows through the ammeter. This means that the ammeter must have a very low resistance, so that it does not significantly alter the current being measured. Typically, ammeters have a built-in shunt resistor to achieve this low resistance.

On the other hand, voltmeters are connected in parallel with the component or part of the circuit being measured, so that they measure the voltage across the component or part. This means that the voltmeter must have a very high resistance, so that it does not draw significant current from the circuit and alter the voltage being measured. Typically, voltmeters have a built-in series resistor to achieve this high resistance.

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When an ambulance drives towards you, the pitch of the siren is higher. After itdrives past, the pitch of the siren is lower.The reason it is lower is that the frequency of the wavelengthA. increasesB. decreasesC. Stays the same

Answers

Doppler's effect:

The Doppler effect states that the frequency of sound increases as it source approaches you and it decreases as the source turns away from you.

When the ambulance drives past you, the pitch of the siren is lower. This is due to the fact that the frequency of the wavelength decreases.

A higher pitch means frequency increases and a lower pitch means frequency decreases.

Therefore, the correct answer is option B. decreases

HELP!?
Convert 107 km/h into m/s.​

Answers

Answer: 29.72

Explanation:

you multiply the number by 5 then divide by 18=

107x5= 535

535/18= 29.72

An increased concentration of what ion characterizes a solution of a base in
water?

Answers

hydroxide ion. An acid is a chemical that, when dissolved in water, raises H+.Compared to OH-, the concentration of H+ in basic solutions is low.

Which ion best describes a base solution in water?

A material is said to be an acid if it dissolves in water to form H+ ions, whereas a substance is said to be a base if it dissolves in water to form OH ions.

What one quality does an acidic substance have?

Ionic chemicals known as acids create positive hydrogen ions (H+) when they are dissolved in water.Acids have a sour flavor, conduct electricity, and combine with metals to form hydrogen gas when dissolved in water.

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See the diagram above. Which of the following is the best prediction of what would happen if you increased the distance in section 1 of the diagram?
A. Energy would decrease
B. The frequency would increase
C. The amplitude would decrease
D. The wavelength would decrease

See the diagram above. Which of the following is the best prediction of what would happen if you increased

Answers

By the definition of wavelength, the answer is the letter D, the wavelength would decrease.

We can see in the diagram a wave motion.

A wave has some characteristics:

Has an amplitude, the distance from 0 to the crest (highest point in the y-direction, point (3) in the figure) it would see in the figure as (2)Has wavelength, the distance between the crests. Has a trough, the lowest point in the y-direction.

Now, if we increase the distance of the crests, by the definition shown above, we will increase the wavelength.

Therefore, the answer is letter D, the wavelength would increase.

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See the diagram above. Which of the following is the best prediction of what would happen if you increased

As a freely falling object picks up downward speed, what happens to the power supplied by the gravitational force?.

Answers

The power supplied by the gravitational force will increase because (Power=work/time).

What happens to a freely falling object's speed as it descends?

A falling object gains momentum as it descends.

An increase in air resistance is caused by a speed increase.

At some point, the force of air resistance grows strong enough to counteract the pull of gravity.

Since there is no net force at this point, the object will stop accelerating.

Although the direction and magnitude of velocity fluctuate, the acceleration caused by gravity remains constant and downward.

The ball has zero velocity at the highest point in its trajectory, and it picks up speed as it descends back toward the earth.

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using your knowledge of energy conservation, express q in terms of δu and w .

Answers

The first law of thermodynamics provides a fundamental principle for energy conservation in thermodynamic systems. It states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (q) minus the work done by the system (w).

According to the first law of thermodynamics, the energy of a system can neither be created nor destroyed, only transferred or converted from one form to another. As a result, there are two ways to quantify energy change in a system: as a result of heat transfer and as a result of work done. The first law of thermodynamics is expressed mathematically as follows:

ΔU = q - w

where ΔU is the change in internal energy, q is the heat added to the system, and w is the work done by the system.

Therefore, to express q in terms of ΔU and w:q = ΔU + w. This equation allows us to quantify the relationship between heat, work, and the change in internal energy of a system, providing a basis for analyzing and understanding energy transfers in various processes.

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Elena failed her algebra exam and blames her teacher for teaching the concepts poorly. How would attribution theory explain Elena's behavior?

A. Elena is using situational attribution because she is blaming events that were outside of her control.

B. Elena is using internal attribution because she is blaming events that were within her own control.

C. Elena is making a dispositional attribution because she is assigning her teacher's behavior to her character.

D. Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.

Answers

Answer: From What i Seeing it is Option B

Twin sisters Paola and Maria have a slight difference in their handwriting. Paola slants her letters more than Maria does. Which of the following elements BEST describes the area in which their handwriting differs?

A.
mechanical

B.
physical

C.
style

D.
emotional

Answers

Answer:

C. Style

Explanation:

Because if your letters are slanted, it's not mechanical, is it? Neither is it emotional, since that's just not right. As for physical, how is your letters being slanted physical? Therefore, the best answer would be C. Style.

Brainliest, Please!

Andy has set a goal to be able to run 65 laps on the PACER by the end of the school year. This is an example of a ____.




1. short-term goal

2. improvement plan

3. long-term goal

4. none of the above

Answers

Answer:

The answer is long- term goal

Explanation:

ayudenme pls es urgente es nota del cohorte

ayudenme pls es urgente es nota del cohorte

Answers

Answer:

500m

Explanation:

because 250+250 goood

A resistor with resistance 640 Ω is in a series with a capacitor of capacitance What capacitance must be placed in parallel with the original capacitance to change the capacitive time constant of the combination to three times its original value?

Answers

To change the capacitive time constant of the combination to three times its original value, a capacitance of 3.47 microfarads must be placed in parallel with the original capacitance.

The time constant of an RC circuit (resistor-capacitor circuit) is given by the product of resistance and capacitance, i.e., RC. In this case, we have an RC circuit with a resistor of 640 Ω and an unknown capacitance C. Let the original time constant be τ. Then,

τ = RC = 640C

To change the time constant to three times its original value, we need:

3τ = 3RC = 640(3C)

Solving for C, we get:

C = 3.47 microfarads

Therefore, a capacitance of 3.47 microfarads must be placed in parallel with the original capacitance to change the capacitive time constant of the combination to three times its original value.

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what is the maximum number of electrons that can occupy the third (n=3) shell?

Answers

The maximum number of electrons that can occupy the third (n=3) shell is 18.

The total number of electrons that can be accommodated in any given shell is equal to the sum of the possible angular momentum quantum numbers (l = 0,1,2,3,....(n-1)). The maximum number of electrons that can occupy the third (n=3) shell is 18.

Each electron in an atom is described by four different quantum numbers, and these quantum numbers include: Principal Quantum Number (n): It defines the shell number to which the electron belongs, and it indicates the distance of an electron from the nucleus. The maximum number of electrons that a shell can hold is given by 2n².

Azimuthal Quantum Number (l): It determines the subshell number to which the electron belongs, and it determines the orbital angular momentum of an electron.

Magnetic Quantum Number (m): It specifies the orientation of an orbital, and it specifies the number of orbitals present in a given subshell.

Spin Quantum Number (s): It determines the spin of the electron and its direction of rotation.

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do we use more freshwater in our homes to provide us with electricity

Answers

Answer:

No. Water can be used in a hydroelectric dam to generate electricity, but this does not make us use more or less water in our homes.

Explanation:

Answer:We use more freshwater to provide us with electricity. Water is the only compound that can be found naturally as a liquid, gas, and solid.

Explanation:

A turntable slows from an initial rate of 28.0 rad/s at a rate of 0.580 rad/s2. The turntable is a disk with a diameter of 40.0 cm and mass of 2.00 kg: The slowing of the turntable is due to a frictional force exerted 1.00 cm from the axis of rotation (a) Determine the magnitude of the tangential acceleration of a point on the edge of the turntable: m/s2 Determine the time it takes the turntable to come to rest_ (c) Determine the number of revolutions the turntable makes before stopping: revolutions (d) Determine the magnitude of the torque exerted on the turntable Nm (e) Determine the magnitude of the frictional force. Determine the magnitude of the initial angular momentum of the turntable_ kg m?/s

Answers

(a) The magnitude of the tangential acceleration of a point on the edge of the turntable is 0.290 m/s².

(b) The time it takes the turntable to come to rest is 48.3 s.

(c) The number of revolutions the turntable makes before stopping is 4.79 revolutions.

(d) The magnitude of the torque exerted on the turntable is 0.116 Nm.

(e) The magnitude of the frictional force is 0.116 N.

(f) The magnitude of the initial angular momentum of the turntable is 0.056 kg m²/s.

(a) The tangential acceleration can be calculated using the formula a = α × r, where α is the angular acceleration and r is the radius of the turntable. Given α = -0.580 rad/s² and r = 0.20 m (half of the diameter), we find a = 0.290 m/s².

(b) The time it takes for the turntable to come to rest can be determined using the equation vf = vi + at, where vf is the final velocity (zero in this case), vi is the initial velocity (28.0 rad/s), a is the acceleration (-0.580 rad/s²), and t is the time. Rearranging the equation, we have t = (vf - vi) / a = -28.0 rad/s / (-0.580 rad/s²) = 48.3 s.

(c) The number of revolutions the turntable makes before stopping can be found using the equation θ = ωi × t + 0.5 × α × t², where θ is the angle in radians, ωi is the initial angular velocity, t is the time, and α is the angular acceleration. Since ωi = 28.0 rad/s, α = -0.580 rad/s², and t = 48.3 s, we can calculate θ = 4.79 revolutions.

(d) The magnitude of the torque exerted on the turntable can be determined using the equation τ = I × α, where τ is the torque, I is the moment of inertia, and α is the angular acceleration. The moment of inertia for a disk rotating about its axis is given by I = (1/2) × m × r², where m is the mass of the disk and r is its radius. Substituting the given values, we find τ = 0.116 Nm.

(e) The magnitude of the frictional force can be calculated using the equation f = m × a, where f is the force, m is the mass, and a is the acceleration. Substituting the given values, we find f = 0.116 N.

(f) The magnitude of the initial angular momentum of the turntable can be calculated using the equation L = I × ω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. Substituting the given values, we find L = 0.056 kg m²/s.

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A student tries to measure the period of a pendulum that is already swinging

left and right. At the moment when the pendulum is fully to the left, she

counts 'One' and starts a stopwatch. She counts successive swings each time

that the pendulum returns to the left. When she counts ‘Ten' she stops the

stopwatch, and sees that it reads 12.0 s.

a. What was her mistake?

______________________________________________________________

b. What is the period of swing of this pendulum?

______________________________________________________________

c. In this particular experiment, explain the likely effect of her reaction time

on her answer.

Answers

Answer:

a. The student's mistake was that the student did not swing the pendulum and start the watch at the same time.

b. 1.2 s per swing.

c. The likely effect of her reaction time is that they will should subtract two seconds off the time.

Explanation:

The pupil made the error of not simultaneously starting the watch and swinging the pendulum.

What is pendulum?

Pendulum is defined as a body that is suspended from a fixed point and moves back and forth while being pulled by gravity. The pendulum is used to gauge the gravitational pull because the force of gravity causes it to swing back toward its average position. A pendulum's time period can be used to tell the time because it is constant.

The swing of the pendulum is 1.2 sec. per swing. They should take two seconds off the timing due to her presumably slow reaction time. A pendulum's total time should be divided by the quantity of oscillations in order to determine its time period. When compared to a pendulum with a shorter string, the one back and forth cycle of a longer-stringed pendulum requires more time to complete.

Thus, the pupil made the error of not simultaneously starting the watch and swinging the pendulum.

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How did astronomers’ understanding of planets shift by the 16th century?

A.
Previously, planets were thought to rotate around Earth, and then astronomers realized planets actually orbited around the Sun.

B.
Previously, planets were thought to orbit the Sun with their moons, and then astronomers realized moons orbited planets, not the Sun.

C.
Previously, planets were thought to orbit in elliptical shapes only, and then astronomers realized they could also orbit circularly.

D.
Previously, planets were thought to orbit black holes, and then astronomers realized that planets orbit their moons.

Answers

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

The Correct choice is A

Before 16th century, people thought that sun revolves around earth. but soon after that time period Astronomers realized that actually planets orbited around the sun.

Answer:

The Correct choice is A

Before 16th century, people thought that sun revolves around earth. but soon after that time period Astronomers realized that actually planets orbited around the sun.

A hailstone propelled by turbulent convection within a cloud reaches an elevation within a cloud where the air temperature is -16.9 degrees C; if this location is 4111 meters above the base of the cloud and the surface dew point temperature is 12 degrees C, what is the relative humidity at the surface?

Answers

The relative humidity at the surface  is 63.55%. Relative Humidity (RH) refers to the measure of the degree of water vapor present in the atmosphere as compared to the maximum amount of water vapor required for saturation at that temperature.

In order to determine the relative humidity at the surface of the given problem, we will first need to determine the saturation vapor pressure at

-16.9°C.1.

Using the Tetens formula, we get;

es = \(6.11 × 10 ^ ((7.5T)/(T + 237.3))\)

Here,

T = -\(16.9°Ces = 6.11 × 10 ^ ((7.5(-16.9))/( -16.9 + 237.3))= 1.07 kPa2\).

Using the Clausius-Clapeyron relation, we get;

e = \(es × e^[-L/R (1/T - 1/T0)]\)

Here, L is the latent heat of vaporization of

water = \(2.45 × 10 ^ 6 J/kg\)

R is the specific gas constant for water

vapor = 461.5 J/kg K.1/T

is the Kelvin temperature at which es occurs,

i.e. (-16.9 + 273) = 256 K.1/T0

is the Kelvin temperature of the surface dew point temperature,

i.e. \((12 + 273) = 285 K.e = 1.07 kPa × e^[-(2.45 × 10 ^ 6 / 461.5)(1/256 - 1/285)]= 0.68 kPa3.\)

The relative humidity at the surface is given by;

RH = (e/es) × 100RH = (0.68/1.07) × 100= 63.55%

Therefore, the relative humidity at the surface of the given problem is 63.55%.

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the thumb is what to the phalanges?

Answers

Answer:

A thumb only has one joint and two phalanges. The thumb is referred to as “the big finger".

Brainlist pls!

Why should a person warm up before exercising?

To gradually increase blood flow to the body
To spend extra time thinking about exercise
To keep from getting too tired after the activity
To help increase muscle strength

Answers

Answer:

To gradually increase blood flow to the body

The answer to your question is A

It takes more time to find a value in a hash table data structure than to find a value in a doubly linked list data structure. True or False

Answers

False.In a hash table data structure, the time complexity for finding a value (retrieving an element) is typically O(1) on average, assuming a good hash function and a well-distributed set of keys. This means that the time it takes to find a value is constant, regardless of the size of the data structure.

On the other hand, in a doubly linked list data structure, finding a value requires traversing the list from the beginning or end until the desired value is found. The time complexity for finding a value in a doubly linked list is O(n), where n is the number of elements in the list. This means that the time it takes to find a value in a doubly linked list increases linearly with the size of the list.Therefore, it takes more time to find a value in a doubly linked list data structure compared to a hash table data structure.

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A string has a frequency of 900 Hz. What is the time period of the string?

Answers

Answer:

T= 1/f

T= 1/900Hz

T=0,001 s

5. Find the velocity of a train that traveled 75 km in 35 minutes. (answer
in m/s). Conversion factors: 1000 m = 1 km; 60 s = 1 min.

Answers

75km=75000m

35min=2100 seconds

Velocity=Displacement/Time

=75000/2100

=750/21

=35.71 m/s

A proton and an alpha particle(q=+2e, m=4u) are fired directly toward each other from far away, each with an initial speed of 0.018c. What is their distance of closest approach, as measured between their centers?

Answers

The precise numerical value of the distance of closest approach cannot be determined since the exact values of the charges (e) and the initial speed (v) is not known.

To find the distance of closest approach between a proton and an alpha particle, we can use the conservation of energy and momentum.

Given: Charge of a proton: q_p = +e

Charge of an alpha particle: q_α = +2e

Mass of an alpha particle: m_α = 4u = 4 * 1.66 x  kg (approx.)

Initial speed of both particles: v = 0.018c, where c is the speed of light.

First, we need to find the initial kinetic energy of each particle. The relativistic kinetic energy equation is given by:

KE = (γ - 1) * m * c²

where γ is the Lorentz factor and c is the speed of light.

The Lorentz factor is given by:

γ = 1 / √(1 - (v/c)²)

Substituting the values, we can find the initial kinetic energy for both particles.

For the proton:

γ_p = 1 / √(1 - (0.018c/c)²) ≈ 1.000324

KE_p = (1.000324 - 1) * m_p * c²

For the alpha particle:

γ_α = 1 / √(1 - (0.018c/c)²) ≈ 1.000324

KE_α = (1.000324 - 1) * m_α * c²

Since the particles are fired directly toward each other from far away, the total initial momentum is zero.

The total initial kinetic energy is given by:

KE_total = KE_p + KE_α

Now, using the conservation of energy, at the distance of closest approach, all of the initial kinetic energy is converted into potential energy.

The potential energy at the distance of closest approach is given by:

PE = (k * q_p * q_α) / r

where k is the electrostatic constant, q_p and q_α are the charges of the particles, and r is the distance of closest approach.

Setting the initial kinetic energy equal to the potential energy, we have:

KE_total = PE

Substituting the expressions for KE_total and PE, we can solve for r.

(1.000324 - 1) * m_p * c² + (1.000324 - 1) * m_α * c²=(k * q_p * q_α) / r

Simplifying the equation:

0.000324 * (m_p + m_α) * c² = (k * q_p * q_α) / r

Finally, solving for r, the distance of closest approach:

r = (k * q_p * q_α) / (0.000324 * (m_p + m_α) * c²)

The precise numerical value of the distance of closest approach would require substituting the exact values of the charges (e) and the initial speed (v) into the equation and calculating it accordingly.

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The complete question is:

A proton and an alpha particle(q=+2e, m=4u) are fired directly toward each other from far away, each
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