Two protons (each with rest mass M = 1. 67 × 10-27 kg) are initially moving with equal speeds in opposite directions. The protons continue to exist after a collision that also produces an ? particle. The rest mass of the ??ís m 9. 75 10-28 kg. (a) If the two protons and the ?? are all at rest after the collision, find the initial speed of the protons, expressed as a fraction of the speed of light. (b) What is the kinetic energy of each proton? Express your answer in MeV. (c) What is the rest energy of the n", expressed in MeV? (d) Discuss the relationship between the answers to parts (b) and (c)
Answers
The initial speed of the protons is approximately 0.166 times the speed of light. the kinetic energy of each proton is 2.10 MeV.the rest energy of the particle is approximately 18.3 MeV. we can see that the kinetic energy of the protons and the rest energy of the particle are related through the conservation of energy in the collision process.
(a) Let the initial speed of each proton be v. According to conservation of momentum, the total momentum of the system before the collision is zero (since the protons are moving in opposite directions with the same speed). After the collision, the total momentum is also zero since the particles are all at rest. Therefore, we can write:
2mv = (m + 2m)v
where m is the rest mass of each proton and v is the speed of the particle. Solving for v, we get:
v = (m/3m)c
where c is the speed of light.
Substituting the given values, we get:
v = (9.75 × 10\(^-28\) / (3 × 1.67 × 10\(^-27\))) × 3.00 × \(10^8\) m/s ≈ 0.166c
Therefore, the initial speed of the protons is approximately 0.166 times the speed of light.
(b) The kinetic energy of each proton can be found using the formula:
K.E. = (1/2)m\(v^2\)
Substituting the values of m and v from part (a), we get:
K.E. = (1/2) × 1.67 ×\(10^-27\) × (0.166c\()^2\) = 2.10 MeV
Therefore, the kinetic energy of each proton is 2.10 MeV.
(c) The rest energy of the particle can be found using the formula:
E = \(mc^2\)
Substituting the given value of m, we get:
E = 9.75 × \(10^-28\) × (3.00 × \(10^8)^2\)/ (1.60 × \(10^-13\)) ≈ 18.3 MeV
Therefore, the rest energy of the day particle is approximately 18.3 MeV.
(d) The sum of the kinetic energies of the two protons is equal to the difference between the total energy (rest energy + kinetic energy) of the protons before the collision and the total energy of the particles after the collision. Mathematically, we can write:
2K.E. = (2m)\(c^2\) - (m + 2m)\(c^2\)
Substituting the given values, we get:
2K.E. = (2 × 1.67 ×\(10^-27\))\(c^2\) - (2 × 9.75 × \(10^-28\))\(c^2\) ≈ 4.20 MeV
On the other hand, the rest energy of the particle is equal to the difference between the total energy of the system after the collision and the kinetic energy of the protons after the collision. Mathematically, we can write:
E = (m + 2m)\(c^2\)- 2K.E.
Substituting the given values, we get:
E = (2 × 9.75 × \(10^-28\))\(c^2\) - 2(2.10 MeV) ≈ 14.1 MeV
Therefore, we can see that the kinetic energy of the protons and the rest energy of the particle are related through the conservation of energy in the collision process.
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Related Questions
A round asteroid has a surface gravity of .0288 m/s^2 if the mass of the asteroid is 1.10 x10^18 kg what is its radius
Answers
Answer:
r = 50.47 x 10³ m = 50.47 km
Explanation:
Using the formula for the acceleration due to gravity:
\(g = \frac{Gm}{r^2}\)
where,
g = acceleration due to gravity on the surface of asteroid = 0.0288 m/s²
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²
m= mass of asteroid = 1.1 x 10¹⁸ kg
r = radius of asteroid = ?
Therefore,
\(0.0288\ m/s^2 = \frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^2)(1.1\ x\ 10^{18}\ kg)}{r^2} \\\\r = \sqrt{\frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^2)(1.1\ x\ 10^{18}\ kg)}{0.0288\ m/s^2}}\)
r = 50.47 x 10³ m = 50.47 km
Answer:
5.05x10^4
Explanation:
g=(GM)/r^2, so
.0288=(6.67x10^-11*1.10x10^18)/r^2, r=5.05x10^4.
This is correct on Acellus.
PLEASE HELP
The most distant objects in the Universe known to
astronomers are 14 billion ly away. Convert this value
to metres.
Answers
Answer:
I'm in ninth grade, but-
Explanation:
According to my calculator
14 billion light years = 1.32450227 x 1026 meters?
Sorry if this doesn't help:(
have a good night
what are the results of a expirament
Answers
Separately derived system generators shall have the _______________ conductor sized not smaller than required to carry the maximum unbalanced current as determined by NEC Article 220.61.
Answers
Separately derived system generators shall have the neutral conductor sized not smaller than required to carry the maximum unbalanced current as determined by NEC Article 220.61.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
Generators are basically motors that operate in reverse—they produce electricity when rotated, instead of rotating when supplied with electricity
The conductors that come from generators must be sized, and overload protection is required. But compared to similar considerations for motors, these considerations are much simpler.
Thus, The neutral conductor on separately derived system generators must be no smaller than necessary to carry the maximum unbalanced current as specified by NEC Article 220.61.
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A stationary 0.325 kg steel ball begins rolling down a frictionless track from a height h as shown in the diagram. It completes a loop-the-loop of radius 1.20 m with a speed of 6.00 m/s at the top of the loop. What is the gravitational potential energy of the ball at the top of the loop?
Answers
The ball at the top of the loop has a gravitational potential energy of 7.55 J.
The kinetic energy of the ball at the top of the loop is equal to its gravitational potential energy before it begins to fall. The total energy of the ball is the sum of its kinetic and gravitational potential energies. We can calculate the gravitational potential energy of the ball at the top of the loop by using the equation given below; PE=mghwhere, m=mass, g=acceleration due to gravity, and h=height above the reference level. Substituting the values we get, PE=(0.325 kg)(9.8 m/s2)(2.4 m)=7.55 J. Therefore, the gravitational potential energy of the ball at the top of the loop is 7.55 J. A stationary steel ball of 0.325 kg rolling down the track from height h completes a loop of radius 1.20 m with a velocity of 6.00 m/s at the top of the loop. We need to calculate the gravitational potential energy of the ball at the top of the loop. The gravitational potential energy of an object is the energy it possesses due to its height above the reference level. The kinetic energy of the ball at the top of the loop is equal to its gravitational potential energy before it begins to fall. The total energy of the ball is the sum of its kinetic and gravitational potential energies. We can calculate the gravitational potential energy of the ball at the top of the loop by using the equation given below; PE=mghwhere, m=mass, g=acceleration due to gravity, and h=height above the reference level. Substituting the values we get, PE=(0.325 kg)(9.8 m/s²)(2.4 m)=7.55 J. Therefore, the gravitational potential energy of the ball at the top of the loop is 7.55 J.For more questions on gravitational potential energy
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A truck is moving with a certain uniform velocity. It is accelerated uniformly by 0.75 m/s^2. After 20 seconds , the velocity becomes 72km/h.Find the initial velocity
Answers
Answer:
Vi = 5 m/s
Explanation:
let (a) acceleration = 0.75 m/s²
(t) time = 20 seconds
Vf = final velocity = 72 km/hr (convert to m/s to units consistency = 20 m/s)
find Initial velocity (Vi)
Vf - Vi
a = -----------
t
Vi = Vf - (a * t) = 20 - (0.75 * 20)
Vi = 5 m/s
What is one Pascal pressure? What is its unit?
Answers
Explanation:
the force acting perpendicularly on unit area of surface
unit=pascle .
A pressure of one Newton per square meter .. The SI unit of 1 Pascal pressure is 1 Newton per square metre .
A wave has a wavelength of 1.2 m and a frequency of 3 Hz. What is the wave
speed?
A. 4.2 m/s
B. 2.5 m/s
C. 1.8 m/s
D. 3.6 m/s
Answers
Answer:
D. 3.6m/s
Explanation:
The equation for wave speed can be used to calculate the speed of a wave when both wavelength and wave frequency are known. Consider an ocean wave with a wavelength of 1.2 meters and a frequency of 3 hertz. The speed of the wave is: Speed = 1.2m x 3wave/s = 3.6 m/s
The nebular hypothesis describes what happens when a cloud collapses into a star system. Where does the majority of the angular momentum of the original cloud go?.
Answers
The nebular hypothesis describes that when a cloud collapses into a star system a new star is forming inside this glowing cloud of gas.
What do you mean by nebular hypothesis?
The nebular theory proposes that a rotating cloud of material called a nebula, composed primarily of light components, flattened into a protoplanetary disc and developed into a solar system made up of a star and circling planets.
The Sun originated independently from a collapsing cloud of gas and dust, and as the planets passed by it later, they were gravitationally pulled in.
Individual stars and their planets develop from the revolving clouds' flattening into protostellar discs.
Most of the angular momentum is transmitted into the residual accretion disc through an unidentified mechanism that is thought to be related to the powerful magnetic fields associated with a newborn star.
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Where is the furthest humans have sent probes in space?
To the nearest star to our Sun
To the Moon
Outside the edges of the solar system
To Mars
Answers
Answer:
Outside the edges of the solar system.
That's not a simple question, and it doesn't have a simple answer.
The two Voyager spacecraft have been flying for about 43 years now.
They left the "heliosphere" about 2 years ago (in November 2018), and are now about 10.9 billion miles from Earth.
Mission controllers can still communicate with them, but it takes radio signals almost 17 hours to reach either one of the spacecraft from Earth.
(And another 17 hours if it has anything to answer back. That's a day and a half to do a "How are you ?" . . . . . "I'm OK.".)
But wait !
The boundary of the solar system is considered to be beyond the outer edge of the "Oort Cloud", a collection of small objects that are still under the influence of the Sun's gravity. The thickness of the Oort Cloud is not exactly known, but it's estimated to begin at about 93 billion miles from the Sun, and to extend maybe as far as 9,300 billion miles from the sun. It will take about 300 years for Voyager 2 to reach the inner edge of the Oort Cloud and possibly 30,000 years to fly beyond it.
So even though the Voyager spacecraft are the farthest man-made objects away from Earth, and have been sailing along for 43 years, neither of them is anywhere near leaving the solar system yet.
Yes, we've sent artificial probes past the Sun, the Moon, Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto, several asteroids, several comets, and past the Kuiper belt, we're still thousands of years from leaving the solar system, and millions of years from reaching the next nearest star ... even if the Voyagers don't get pulverized into dust by meteoroids and radiation before they get there.
Suppoe that a high-energy neutron i travelling at a peed of 18 million m/. Find it energy in MeV (million electron volt (eV))
Answers
The energy of the high energy neutron is 940.51 MeV.
Speed is nothing but the distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity with the SI unit meter/second.
We know that mass of the neutron m₀ = 939.6 MeV/c²
A high energy neutron is travelling at a speed of 18 million m/s.
Given that, v = 1.8 * 10⁷ m/s
The energy of neutron is calculated with the formula, m₀* c²/√(1 - v²/c²)
⇒ 939.6 * (3* 10⁸)²/√[1 - (1.8 * 10⁷)²/(3* 10⁸)²]
⇒ 940.51 MeV
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Which statement is true? (2 points)
The combustion of biomass can replace fossil fuels in conventional power plants.
Hydroelectric energy uses the energy from the sun, which is a renewable resource.
Oil is a non-renewable resource that is hardly ever used, so there is not a concern of depleting the Earth's supply.
Solar energy is a non-renewable resource that is used by many countries all over the world.
Answers
Answer:
the first statement is true
I need help with these question ASAP .. I have to get them done tonight because it is due tomorrow
Answers
Answer:
It's letter B that's all I know
Before classifying these, Let's understand the meaning of the given terms;
Planktons:- The types of aquatic plants and animals whose destination is decided by the tides and current of the ocean are called plankton.They basically don't move on their own, they swim freely in the water and the tides take those plants and animals with them.Nektons:- The aquatic animals that can move independently of currents are nektons. These animals can swim wherever they want.Benthos:- The animals which live on the sea floor that is the bottom of the ocean are called benthos. These animals avoid coming towards the surface and live in deep dark ocean more than 1000 meters below ocean.\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)
Final answer ⤵️The organism in picture A is a starfish and starfish depends upon the tides. They go wherever the tides take them. Hence, they are Planktons.
The organism in picture B is a fish and fishes can swim on their own. They can go wherever they want. Hence, they are Nektons.
On a circle of radius r, a central angle of radians subtends an arc of length s_____; the area of the sector formed by this angle is a_______.
Answers
On a circle of radius r, a central angle of radians subtends an arc of length(s) is r; the area of the sector formed by this angle is a 12r2Θ. The central angle of radians subtends an arc of length(s) that is multiple of radius (r) and central angle().
What is the sector of a circle's area?The concept of area is always associated with two dimensions. Any two-dimensional object can combine to form a plane. As a result, every two-dimensional figure has an area. Every point in a plane that is a particular distance away from some other point forms a circle. The circle's radius and fixed distance are both referred to as the circle's center and radius, respectively.
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a moving person completed 4,500j of work by lifting an object 2.45m. how much force did they exert?
Answers
Answer:
Explanation:
Given:
E = 4500 J
h = 2.45 m
____________
F - ?
W = F·h
F = W / h = 4 500 / 2.45 ≈ 1 840 N
how many wavelengths of the radio waves are there between the transmitter and radio receiver if the woman is listening to an am radio station broadcasting at 1540 khz?
Answers
Wavelengths of the radio waves between the transmitter and radio receiver if the woman is listening to an am radio station broadcasting at 1540 Khz is 194 m.
We can deduce three important relationships from the wave equation:
Speed is directly proportional to wavelengthSpeed is directly proportional to frequencyWavelength is inversely proportional to frequencySo the relation is : v = λf
where, v = speed of wavelength
λ = wavelength
f = frequency
Given, frequency (f) = 1540Khz = 1540000hz
v = speed of light = \(3 * 10^{8} m/s\)
Putting these values in above equation we get λ = 194m
So Wavelengths of the radio waves between the transmitter and radio receiver if the woman is listening to an am radio station broadcasting at 1540 Khz is 194 m.
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Obtain an expression for fringe width with diagram.
Answers
Hope this above expression for fringe width helps you.
Answer:
Explanation:
To obtain an expression for fringe width, we need to consider the phenomenon of interference in wave patterns, such as in the case of Young's double-slit experiment. In this experiment, a coherent light source, such as a laser, is passed through two closely spaced slits, creating an interference pattern of light and dark fringes on a screen placed behind them.
The fringe width (w) can be determined using the following expression:
w = λ * D / d
Where:
- λ represents the wavelength of the light used,
- D is the distance between the double-slit and the screen,
- d is the separation between the two slits.
The diagram accompanying this explanation would illustrate a coherent light source passing through the double slits, with the resulting pattern of light and dark fringes observed on the screen placed behind them. The distance D between the double-slit and the screen, as well as the separation d between the slits, would be indicated in the diagram.
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Christopher conducts an experiment in which he tests how much sugar dissolves at different temperatures of water. One step requires him to use water with a temperature of 32. 5°C. What is this temperature in kelvins? Record your answer to the nearest tenth
Answers
"The required kelvin temperature when celsius temperature is given is calculated to be 305.65 K."
There are three main scales to measure temperature. They are Celsius, Fahrenheit and Kelvin scales of measurement. Kelvin is said to be the official metric unit of temperature.
The temperature of water is given as 32.5 °C.
The same temperature in kelvins should be found out.
Converting celsius scale temperature to kelvin scale, we should add up 273.15 to the temperature in celsius scale.
Kelvin temperature = 273.15 + Celsius temperature
Kelvin temperature = 273.15 + 32.5 °C = 305.65 K
Thus, the kelvin temperature is calculated to be 305.65 K.
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which situation would result in interference? group of answer choices a wave bouncing off an object a wave bending as it moves through an object a wave scattering as it moves through an object a wave increasing in energy as it hits another wave
Answers
Interference occurs when two or more waves meet and interact with each other. These interactions can be constructive or destructive, depending on how the waves are aligned with each other.
Constructive interference occurs when waves are aligned in phase with each other, resulting in an increase in amplitude, while destructive interference occurs when waves are aligned out of phase, resulting in a decrease in amplitude. Of the group of answer choices given, the situation that would result in interference is when a wave bounces off an object and interferes with another wave in the same space.
When the wave is reflected off an object, it produces a new wave that interacts with the original wave, resulting in interference. This can lead to constructive interference if the waves are aligned in phase, or destructive interference if they are aligned out of phase.
Interference occurs when two waves meet and interact with each other. These interactions can be either constructive or destructive, depending on the alignment of the waves with each other. When waves are aligned in phase, constructive interference occurs, resulting in an increase in amplitude. On the other hand, when waves are aligned out of phase, destructive interference occurs, resulting in a decrease in amplitude.
The situation that would result in interference is when a wave bounces off an object and interferes with another wave in the same space. This can lead to either constructive or destructive interference, depending on how the waves are aligned.
Therefore, the answer is wave bouncing off an object.
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An automobile travels on a straight road for 55 km at 20 km/h. It then continues in the same direction for another 60 km at 55 km/h. What is the average velocity (km/h) of the car during the full 115 km trip
Answers
Given :
Speed of automobile for first 55 km , \(v_1=20\ km/h\) .
Speed of automobile for first 60 km , \(v_2=55\ km/h\) .
To Find :
Average velocity of the full trip .
Solution :
We know , average velocity is given by :
\(v_{avg}=\dfrac{\text{Total distance covered}}{\text{Total time taken }}\)
Now , time is given by :
\(T=\dfrac{D}{v}\)
So ,
\(v_{avg}=\dfrac{55+60}{\dfrac{55}{20}+\dfrac{60}{55}}\\\\v_{avg}=29.94\ km/h\)
Therefore , the average velocity (km/h) of the car during the full 115 km trip is 29.94 km/h .
Hence , this is the required solution .
whats another name 4 the pilgrims.
Answers
Answer:
piglets
Explanation:
more than 3
Answer :pedestrian walker.
Explanation:
All of the following elements are in the same group except...
nitrogen
selenium
sulfur
oxygen
Answers
Answer:
B
Explanation:
selenium is the right answer.
a narrow ray of yellow light from glowing sodium (0 = 589 nm) traveling in air strikes a smooth surface of water at an angle of i = 43.6°. determine the angle of refraction r.
Answers
The angle of refraction for a narrow ray of yellow light from glowing sodium (\(λ = 589 nm\)) traveling in the air and striking a smooth water surface at an angle of incidence (\(i = 43.6°\)) is approximately 30.3°, as determined by Snell's Law.
To determine the angle of refraction (r) for a narrow ray of yellow light from glowing sodium (\(λ = 589 nm\)) traveling in the air and striking a smooth water surface at an angle of incidence (\(i = 43.6°)\), you can use Snell's Law:
\(n1 * sin(i) = n2 * sin(r)\)
Here, n1 is the refractive index of air (approximately 1) and n2 is the refractive index of water (approximately 1.33). Plug in the values:
\(1 * sin(43.6°) = 1.33 * sin(r)\)
Solve for r:
\(sin(r) = sin(43.6°) / 1.33r = arcsin(sin(43.6°) / 1.33)\)
Using a calculator, we find:
\(r ≈ 30.3°\)
So, the angle of refraction (r) for the given conditions is approximately \(30.3°.\)
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A wire is joined to points X and Y in the circuit diagram shown.How does the circuit change when the wire is added?
Answers
Answer: C i did it on ED
Explanation:
Answer:C. A short circuit occurs and makes bulbs 3 and 4 turn off but keeps bulbs 1 and 2 lit
Explanation:
edge 2021
To see if it’s C or F
Answers
The bottom of a flat-bottomed aluminum boat has area = 4.0 m2 and mass = 60 kg. If two fishermen and their fishing gear with total mass of 300 kg are placed in the boat, how much lower will the boat ride in the water? (H2O density = 1.0 ´ 103 kg/m3)
Answers
The boat sinks by about 9.07 cm when the fishermen and their gear are aboard.
What is Mass?
Mass is a fundamental property of matter that measures the amount of matter in an object. It is a scalar quantity and is typically measured in units of kilograms (kg) or grams (g). Mass is different from weight, which is the force exerted on an object by gravity and varies depending on the strength of the gravitational field.
First, we need to find the volume of water displaced by the boat. Since the boat has a flat bottom, we can assume that it displaces a volume of water equal to its submerged depth multiplied by its bottom area. Let's assume that the boat sinks by a depth of h meters when the fishermen and their gear are aboard. Then:
Volume of water displaced = 4.0 m^2 × h
The weight of the water displaced is equal to the weight of the boat and everything in it, which is:
Weight of boat and gear = (60 + 300) kg × 9.81 m/\(s^{2}\)= 3528.6 N
The buoyant force is then:
Buoyant force = Weight of water displaced = Volume of water displaced × density of water × g
where g is the acceleration due to gravity. We can set this equal to the weight of the boat and gear:
4.0 \(m^{2}\) × h × 1000 kg/\(m^{3}\) × 9.81 m/\(s^{2}\) = 3528.6 N
Solving for h, we get:
h = 0.0907 m
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Jayden created a cell model using a glass bottle with a cork. He said that the cork could be opened to eliminate waste material that’s generated after digestion in the cell. A number of particles resembling organelles are in the bottle. Which organelle’s function will cause Jayden to open the cork to eliminate waste material?
A. chloroplast
B. cytoplasm
C. nucleus
D. lysosome
E. ribosome
Answers
Answer:
D. lysosome
Explanation:
A. chloroplast - the role of the chloroplast is to trap light energy and perform photosynthesis
B. cytoplasm - the cytoplasm is the fluid-filled space inside the cell
C. nucleus - the nucleus houses the genetic material
D. lysosome - This is the correct answer. Lysosomes trap and digest waste products in the cell and break them down into reusable components.
E. ribosome - the ribosomes are protein synthesis machines
If the height gain of each step was 0.20 m , and the mass of the runner was 69 kg , what was his average power output during the climb
Answers
Answer: 370 W
Explanation:
Find the total height
1576 steps * 0.2 metres = 315 m
Energy = mgh = 69 * 9.8 * 315
=2.12 * 10^5 J
Power = energy / time
Time = 9*60 +33 = 573 sec
So power = energy/time = 370 W
A 0.98 kg ball is placed on a vertical 55.71 N/m spring that is compressed 43.14 cm. When the spring is released, how high above its starting point will the ball go?
Answers
Answer:
F = - K X
X = .4314 m compression of spring
F = 55.71 N/m * .4314 m = 24.03 N force to compress spring
E = 1/2 K X^2 energy of compressed spring
E = 1/2 55.71 N / m * (.4314 m)^2 = 5.184 Joules energy of spring
1/2 M V^2 = E energy imparted to ball
V = (2 E / M)^1/2 = 3.25 m/s max speed of ball
M g H = 1/2 M V^2 calculate height of ball after release
H = E / (M g) height above spring
H = 5.184 / (.98 * 9.80) = .540 m height to which ball rises
.540 + .4314 = .972 m height above compression point
If the forces acting on an object are balanced, wihat must be true about the motion of this object?