To complete your master's degree in physics, your advisor has you design a small linear accelerator capable or emitting protons, each with a kinetic energy of 10.0 keV. (The mass of a single proton is 1.67 times 10^-27 kg.) In addition, 1.00 times 10^9 protons per second must reach the target at the end of the 1.50-m-long accelerator. (a) What the average power must be delivered to the stream of protons? (b) What force (assumed constant) must be applied to each proton? (c) What speed does each proton attain just before it strikes the target, assuming the protons start from rest?
Answers
a. The average power must be delivered to the stream of protons if a small linear accelerator capable or emitting protons, each with a kinetic energy of 10.0 keV, 1.00 times 10⁹ protons per second must reach the target at the end of the 1.50-m-long accelerator is 1.6 x 10⁻⁶ J/sec.
b. The force that must be applied to each proton is 7.53 x 10⁻¹³ N.
c. The speed each proton attains just before it strikes the target, assuming the protons start from rest is 2.60 x 10⁷ m/s.
To find the average power delivered to the stream of protons, we need to calculate the total energy delivered per second. The kinetic energy of each proton is given as 10.0 keV, which is equal to 1.6 x 10⁻¹⁵ J. Therefore, the total energy delivered per second is:
Total energy = 1.00 x 10⁹ protons/sec x 1.6 x 10⁻¹⁵ J/proton
= 1.6 x 10⁻⁶ J/sec
To find the force applied to each proton, we can use the equation:
Force = mass x acceleration
The acceleration of each proton can be found using the kinetic energy and the distance traveled in the accelerator. The kinetic energy of a proton is given as 10.0 keV, which is equal to 1.6 x 10⁻¹⁵ J. The distance traveled by the proton is 1.50 m. Using the conservation of energy, we can find the final velocity of the proton just before it strikes the target, which is given as:
Final velocity = √(2 x kinetic energy/mass)
= sqrt(2 x 1.6 x 10⁻¹⁵ J / 1.67 x 10⁻²⁷ kg)
= 2.60 x 10⁷ m/s
The time taken for the proton to travel the distance of 1.50 m is:
Time = Distance / Velocity
= 1.50 m / 2.60 x 10⁷ m/s
= 5.77 x 10⁻⁸ s
Therefore, the acceleration of each proton is:
Acceleration = Final velocity / Time
= 2.60 x 10⁷ m/s / 5.77 x 10⁻⁸ s
= 4.51 x 10¹⁴ m/s²
Finally, the force applied to each proton is:
Force = mass x acceleration
= 1.67 x 10⁻²⁷ kg x 4.51 x 10¹⁴ m/s²
= 7.53 x 10⁻¹³ N
The final velocity of each proton just before it strikes the target is already calculated in part (b) as 2.60 x 10⁷ m/s.
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Related Questions
a bullet of mass, m is fired horizontally into a block of mass, m as shown. the block with the embedded bullet rises to height, h. acceleration due to gravity is g acting downward. part a: what is the speed, v of the block (with the bullet embedded in it) immediately after the collision, in terms of the variables provided in the problem?
Answers
The speed of the block (with the bullet embedded in it) immediately after the collision, in terms of the variables provided in the problem, is given by \(v = (m/(m + M)) * (2gh)^{0.5}\), where m is the mass of the bullet, M is the mass of the block, and h is the height to which the block rises.
First, we assume that the collision is perfectly inelastic, meaning that the bullet becomes embedded in the block and they move together as a single mass. In this case, the conservation of momentum equation can be written as:
\(m_{bullet} * v_{bullet} = (m_{block} + m_{bullet}) * v_{final}\)
where v_bullet is the initial velocity of the bullet, v_final is the final velocity of the block with the embedded bullet, and we have used the fact that the block and bullet move together as a single mass after the collision.
Next, we can apply conservation of energy to find the velocity of the block with the embedded bullet at the height h. Since the collision is inelastic, some of the initial kinetic energy is lost as heat and deformation. We can express the conservation of energy equation as:
\((1/2) * m_{bullet} * v_{bulle}t^2 = (m_{block} + m_{bullet}) * g * h\)
where g is the acceleration due to gravity and we have used the fact that the potential energy gained by the block-bullet system is equal to the initial kinetic energy of the bullet.
Solving for v_final in the momentum equation and substituting it into the energy equation, we get:
\((1/2) * m_{bullet} * v_{bullet}^{2} = (m_{block} + m_{bullet}) * g * h\)
\(v_{final} = v_{bullet} * (m_{bullet} / (m_{block} + m_{bullet}))^{0.5}\)
So the speed of the block with the bullet embedded in it immediately after the collision can be calculated using this equation, where we plug in the values of \(m_{bullet}, m_{block}, v_{bullet}\), and h.
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If a net force of 10 newtons acts on a 6 kilogram mass of 8 seconds, the total change of momentum of the mass is
Answers
The total change in momentum of the mass is calculated to be 80.16 kg m/s.
Given that,
Force F = 10 N
Mass m = 6 kg
Time t = 8 sec
"Newton's second law states that F = m a."
Making 'a' as subject,
a = F/m = 10/6 = 1.67 m/s²
From the equations of motion, let us calculate velocity.
v = u + a t
v = 0 + 1.67 × 8 = 13.36 m/s
Δp = m(v - u) = 6 × ( 13.36 - 0) = 80.16 kg m/s
Thus, the change of momentum is 80.16 kg m/s.
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Galileo is often credited
Answers
Answer:
....with the early discovery of four of Jupiter's many moons.
Explanation:
Galileo is often credited with the early discovery of four of Jupiter's many moons. The moons orbiting Jupiter follow the same laws of motion as the planets orbiting the sun. One of the moons is called Io - its distance from Jupiter's center is 4.2 units and it orbits Jupiter in 1.8 Earth-days.
what is the best .io game ever i will give brainlest
Answers
Answer:
starve.io
Explanation:
it's better and the pvp is good or moonoo.io
and think i won.
What is the acceleration of a 65 kg object pushed with a force of 500 newtons?
Answers
Answer:
7.69 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
f is the force
m is the mass
From the question we have
\(a = \frac{500}{65} = 7.692307... \\ \)
We have the final answer as
7.69 m/s²Hope this helps you
According to the thin-lens equation, when an object is infinitely far away from a lens, where will the image form?.
Answers
The image will form at the focal point
1/object + 1/image = 1/focal
If the object distance is infinite then the image distance equals the focal distance
If you throw a ball up with a velocity of 3 m/s , how long will it take for the ball to reach the top of its path
Answers
Answer:
t = 0.306 s
Explanation:
Given that,
Initial velocity of the ball, u = 3 m/s
When it reaches the top of its path, its final velocity, v = 0
We need to find the time it takes the ball to reach the top of its path. It can be calculated using first equation of motion.
v = u +at
Here, a = -g
\(0=u-gt\\\\t=\dfrac{u}{g}\\\\t=\dfrac{3\ m/s}{9.8\ m/s^2}\\\\t=0.306\ s\)
So, the ball will take 0.306 s to reach the top of its path.
What is the stopping potential if the incident light has a wavelength of 180nm?
Answers
The photoelectric effect's cutoff wavelength is 295.98 nm. (b) The stopping potential is 2.70625 V if the incident light has a wavelength of 180 nm.
What is the formula for calculating stopping potential?How to get KEmax=|eV0|, the equation for a photoelectron's stopping voltage. Hint: The stopping voltage (or stopping potential) refers to the voltage difference required to stop electrons from passing between plates and creating a flow in the photoelectric analysis.
How do you determine stopping potential photoelectric?Derivation of the Photoelectric Effect and the Stopping Potential Formula
According to Einstein's photoelectric equation
(0.6+2.14)eV
1242eVnm
=454nm
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Your racquetball opponent has poor reaction time and agility. A good offensive strategy would be to serve: (2 points) Group of answer choices Before he is ready so he won't expect the ball Near him to start a rally and keep the ball in play To the same place each time to have a good match To various court locations to keep him surprised
Answers
Answer:
b
Explanation:
Your racquetball opponent has poor reaction time and agility. A good offensive strategy would be to serve Near him to start a rally and keep the ball in play. Thus, option B is correct.
What is agility?
Shuttle run is a sport for athletes. Here, the participants places one foot behind the start line, and runs over and picks up a piece of wood. He/she then runs back and places the wood on the starting line. This sport is used to test the agility, speed , power and muscle strength of the participants.
Agile gives healthcare teams the ability to swiftly identify and solve issues with patient care, acquiring medical supplies, staffing, and a variety of other duties involved in providing healthcare.
Because it helps the product team to more precisely identify the components and Agile features that matter most to end users (whether they be patients or medical staff), an adapted Agile development approach works effectively for the majority of healthcare solution projects.
Therefore, Your racquetball opponent has poor reaction time and agility. A good offensive strategy would be to serve Near him to start a rally and keep the ball in play. Thus, option B is correct.
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What are the 3 main approaches to the identification of unknown bacteria?
Answers
The three main approaches to the identification of unknown bacteria are as follows:Phenotypic identification, Molecular identification and Biochemical identification
What is Phenotypic, Molecular and Biochemical identification?1. Phenotypic identification
Phenotypic identification involves the physical and chemical characteristics of the bacterial colonies and cells. In this method, bacterial cells are studied through microscopy, their ability to grow on various types of media, cellular morphology, and other factors that are easy to observe.
2. Biochemical identification
Biochemical identification is based on the biochemical reactions of bacteria. This method involves the use of different chemical and biochemical tests to identify the bacteria. The tests are designed to identify specific enzymes or metabolic pathways. The results of the tests are then used to identify the bacteria.
3. Molecular identification
Molecular identification involves the use of DNA analysis to identify bacteria. In this method, the DNA of the bacterial cells is isolated and analyzed. This method has become popular in recent years due to its accuracy and speed.
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c) Name the type of error described in the two cases of measurements below. Case 1: A stopwatch that runs fast or slow. Case 2:
Answers
The description of the measurement is incomplete, and therefore it is impossible to determine the type of error.
What is Measurement?
Measurement is the process of quantifying or determining the size, amount, or degree of something using standard units or scales. It involves assigning a numerical value to a physical quantity, property, or characteristic of an object, event, or phenomenon.
Measurement is a fundamental tool used in science, engineering, commerce, and everyday life. It allows us to make comparisons, establish standards, and assess the accuracy and precision of our observations and experiments. Some common examples of measurements include length, mass, time, and volume, which are typically expressed in units such as meters, kilograms, seconds, degrees Celsius, and liters, respectively.
The error described in this case is systematic error, also known as a bias. The stopwatch consistently measures time intervals that are either longer or shorter than the actual time.
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the rate at which an object changes speed is called:_____-
Answers
Answer: Acceleration
Explanation:
How is the mirror angle related to the angles of incidence and reflection?
Answers
Answer:
mirror angle is related to sngle of incident n reflection becuse they are ewaul to each other
On the decibel scale,an increase of 1 dB means that sound intensity is increased by a factor of ________?
A.10
B.20
C.100
D 200
Answers
Your answer would be 10 decibels
Answer:
A. 10
Explanation:
it increases by 10 each level
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The car has a mass of 22,000Kg. Calculate the force needed to stop the car.
Answers
Answer:
Momentum of car = 1200 kg * 10 m/s = 12000 kgm/s Momentum = Force * time 12000 kgm/s = Force * 20s Force = 600 N
Explanation:
A 0.50 kg grenade explodes horizontally into three pieces. The first piece has a velocity of 10 m/s [N] and a mass of 0.10 kg. The second piece has a velocity of 5.0 m/s [S 10⁰ E ] and a mass of 0.20 kg. Find the velocity of the third piece.
Answers
The velocity of the third piece is mathematically given as
v=0.88m/s
What is the velocity of the third piece.?Generally, the equation for conservation is mathematically given as
\(m u=m_{1} v_{1 \mathrm{x}}+m_{2} v_{2 \mathrm{x}}+m_{1} v_{x}\)
Here, is the mass of the grenade, \(m_{1}, m_{2}, m_{3}\) the masses of the pieces after an explosion, and \(v_{1 \mathrm{x}}, v_{2 \mathrm{x}}\) are velocities of the first and second pieces after the explosion.
\(m u_{1} &=m_{1} v_{1 x}+m_{2} v_{2 \mathrm{x}}+m_{3} v_{x} \\0 &=0+(0.2 \mathrm{~kg})((5 \mathrm{~m} / \mathrm{s})\\v_{x} &=\frac{-0.173 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}}{0.3 \mathrm{~kg}} \\&=-0.578 \mathrm{~m} / \mathrm{s}\)
the equation for conservation
\(m u=m_{1} v_{1 y}+m_{2} v_{2 y}+m_{3} v_{y}\)
\(m u_{1} &=m_{1} v_{1 \mathrm{y}}+m_{2} v_{x y}+m_{3} v_{y} \\0 &=(0.10 \mathrm{~kg})(10 \mathrm{~m} / \mathrm{s})+(0.2 \mathrm{~kg})\left((5 \mathrm{~m} / \mathrm{s}) \cos 10^{\circ}\right)+(0.3 \mathrm{~kg}) v_{y} \\v_{y} &=\frac{-1.98 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}}{0.3 \mathrm{~kg}} \\&=-0.661 \mathrm{~m} / \mathrm{s}\)
In conclusion, the magnitude of the velocity
\(v=\sqrt{v_{\mathrm{x}}^{2}+v_{\mathrm{y}}^{2}}\)
\(Substitute $-0.578 \mathrm{~m} / \mathrm{s}$ for $v_{\mathrm{s}}$ and $-0.661 \mathrm{~m} / \mathrm{s}$ for $v_{\mathrm{y}}$\)
\(v &=\sqrt{v_{x}^{2}+v_{y}^{2}} \\&=\sqrt{(-0.578 \mathrm{~m} / \mathrm{s})^{2}+(-0.661 \mathrm{~m} / \mathrm{s})^{2}} \\&=0.88 \mathrm{~m} / \mathrm{s}\)
v=0.88m/s
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the speed of an object increases by 30 m/s in 10 seconds. what is its acceleration?
Answers
Answer:
3m/s^2
Explanation:
acceleration=velocity/time
acceleration= 30/10=3m/s^2
Can you help me on this please
Answers
Answer: the water level would rise since the pebble displaces minimal water compared to the boat.
Explanation:..........
Describe the relationship between speed and thinking distance. Physics Paper 2
Answers
While there is no direct relationship between speed and thinking distance, higher speeds can result in longer thinking distances due to the increased reaction time needed by the driver.
The relationship between speed and thinking distance is not a direct one, as thinking distance is primarily influenced by the driver's reaction time rather than the actual speed of the vehicle. Thinking distance refers to the distance traveled by a vehicle during the driver's reaction time after perceiving a hazard.
However, there is an indirect relationship between speed and thinking distance in the sense that higher speeds generally result in longer thinking distances. When a vehicle is traveling at a higher speed, the driver needs more time to process information, make decisions, and react to potential hazards. Therefore, a higher speed can lead to a longer thinking distance.
It is important to note that thinking distance is just one component of the total stopping distance, which also includes braking distance. Braking distance is directly influenced by the speed of the vehicle. Higher speeds require longer braking distances to bring the vehicle to a stop.
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Which type of wave interaction is shown in the diagram?
wave A
MAAAAA
wave B
MAAAA
wave A + B
PAMA
A. Destructive interference
B. Diffraction subtraction
C. Diffraction gradient
D. Constructive interference
Answers
Answer: Constructive interference
Explanation: Just took the test
True or False?
Phishing is not often responsible for PII data breaches.
Answers
It is incorrect that phishing is often responsible for PII breaches. Users are required to follow the guidelines outlined in applicable Systems Security Plans, DOL policies, and agency directives.
Loss of control, compromise, unauthorized disclosure, unauthorized acquisition, unauthorized access, or any other phrase with a similar connotation that describes circumstances in which individuals other than authorised users and for purposes other than those authorised have access to or potentially have access to personally identifiable information is referred to as a PII breach. The following security guidelines are specified by DOL internal policy for the protection of PII and other sensitive data: It is the user's obligation to safeguard any data they have access to. Cookies are frequently used by servers and browsers to collect non-PII data. Examples of non-PII include device type, browser kind, plugin information, language preference, time zone, and screen size.
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if you weigh 637 N on Earth's surface, how much would you weigh on the planet Mars?
Answers
Answer:
To get your answer multiply 637N by 10N/kg to get 6370kg
The mass of an object weighing 637 N on earth is 65 kg. The acceleration due to gravity on mars is 3.72 m/s². Then its weight on mars is 241.8 N.
What is gravitational force?The gravitational force is the force by which an object attracts other object into its center of mass. Earth attracts every objects into its surface and that is why we are all standing on the ground and experience a weight.
The acceleration due to gravity is the acceleration to the downward motion by gravitational force for an object. The weight of an object is the sum of its mass and acceleration due to gravity of the planet in which the object is placed.
The acceleration due to gravity of earth = 9.8 m/s²
then mass of person weighing 637 N = 637 N/9.8 m/s² = 65 Kg
acceleration due to gravity of mars = 3.72 m/s²
then weight of the mass 65 kg = 65 kg × 3.72 m/s² = 241.8 N.
Therefore, the person will weight 241.8 N at mars.
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Question 1(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following is not an intensive physical property?
Electrical conductivity
Mass
Density
Freezing point
Answers
Answer:
Electrical conductivity
Explanation:
This is because it is not a bulk property where as the others are.
Three 20.0 ohm resistors are
connected in parallel. What is their
equivalent resistance?
(Unit = ohm)
Answers
Answer:
6.67 ohm
Explanation:
From the question given above, the following data were obtained:
Resistor 1 (R₁) =20 ohm
Resistor 2 (R₂) = 20 ohm
Resistor 3 (R₃) = 20 ohm
Equivalent Resistance (R) =?
Since the resistors are arranged in parallel connection, the equivalent resistance can be obtained as follow:
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/R = 1/20 + 1/20 + 1/20
1/R = (1 + 1 + 1) / 20
1/R = 3/20
Invert
R = 20/3
R = 6.67 ohm
Therefore, the equivalent resistance is 6.67 ohm.
i need help this is due to day!! i will give brainliest
Answers
Answer:
One arm row: Latissmus Dorsi (Lat)
Dumbell flys: Shoulders
Machine back press: pectorals
Push downs: Triceps
Explanation:
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tia phản xạ trên gương phẳng nằm trong cùng mặt phẳng với:
Answers
Answer:
can anyone translate
Explanation:
because i cant read this
what is the magnitude of the force required to keep the rod moving at a constant speed?
Answers
The magnitude is 0.08N
i= e/R
= 0.8/(1)(30+30+20)×10^−2
=0.1A
F=iB=(0.1)(0.2)(4)=0.08N
What is magnitude?
The magnitude of a force refers to the sum of all forces acting on an object. If all forces act in the same direction, then the magnitude of the force increases. If forces act on an object in different directions, then the magnitude of the force decreases.To know more about magnitude, click the link given below:
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In comparing two unequal forces on a rigid body, is it possible to have the larger force produce less torque than the smaller force?.
Answers
Yes. If the smaller force is farther from the fulcrum than the larger mass.
What is rigid body?A body that does not deform or alter shape is idealized as a hard body. Formally, it is described as a group of particles with the feature that their distance from one another does not change as the body moves.
What is torque?When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of that twisting force is accessible. Everyday activities like turning a doorknob, opening a drink bottle, using a wrench, or peddling a bicycle all involve torque.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
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A child blows a leaf from rest straight up in the air. The leaf has a constant upward acceleration of magnitude 1.0\,\dfrac{\text m}{\text s^2}1.0 s 2 m 1, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. How much time does it take the leaf to displace 1.0\,\text m1.0m1, point, 0, start text, m, end text upwards?
Answers
Answer:
Explanation:
Given
Acceleration a = 1.0m/s²
Displacement S = 1.0m
Required
Time t taken by the leaf to displace
Using the equation of motion
S = ut+1/2at²
Substitute
1.0 = 0+1/2(1)t²
1 = t²/2
Cross multiply
t² = 2
t = ±√2
t = 1.41secs
It takes the leaf to 1.41s to displace by 1m upward
100 POINTS WILL GIVE BRAINIEST TO BEST ANSWER!!!!!!!!!!!!!
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Answers
Answer:
What’s your question
Explanation:
And where
Answer:
its upside down
Explanation: