A electron of kinetic energy 1.20 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius (r) is 25.0 cm. (a) Find the electron's speed, (b) Find the magnetic field magnitude, (c) Find the circling frequency, and d) Find the period of the motion.
Answers
(a) Speed of the electron = 3.18 × 10⁷ m/s
(b) Magnetic field magnitude = 0.289 T
(c) Circling frequency = 5.06 × 10⁷ Hz
(d) Period of motion = 1.97 × 10⁻⁸ s
(a) The kinetic energy of the electron can be written as:
K.E. = (1/2)mv²
where m is the mass of the electron and v is its speed. Solving for v, we get:
v = sqrt((2K.E.)/m) = sqrt((2×1.20×10³×1.602×10⁻¹⁹)/9.11×10⁻³¹) = 3.18 × 10⁷ m/s
(b) The magnetic force (F) acting on the electron is given by:
F = qvB
where q is the charge of the electron, v is its speed, and B is the magnetic field magnitude. Since the electron is moving in a circular path, the magnetic force provides the necessary centripetal force. Thus, we have:
F = mv²/r
Equating these two expressions for F, we get:
qvB = mv²/r
Solving for B, we get:
B = mv/(qr) = (9.11×10⁻³¹kg × 3.18 × 10⁷ m/s)/(1.6×10⁻¹⁹) C × 0.25 m) = 0.289 T
(c) The circling frequency (f) can be found from the equation:
f = v/(2πr)
Substituting the values, we get:
f = (3.18 × 10⁷ m/s)/(2π × 0.25 m) = 5.06 × 10⁷ Hz
(d) The period (T) of the motion is given by:
T = 1/f = 1/(5.06 × 10⁷ Hz) = 1.97 × 10⁻⁸s
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Related Questions
if a horse exerts a pulling force on a cart, is the reaction force the force of friction between the horse's feet and the road?
Answers
Answer:
A horse pushes the ground in a backward direction. According to Newton’s third law of motion, a reaction force is exerted on the horse in the forward direction. When the horse walks in the forward direction (with the cart attached to it), it exerts a force in the backward direction on the Earth. An equal force in the opposite direction (forward direction) is applied on the horse by the Earth. This force moves the horse and the cart forward. As a result, the cart moves forward.
If the loop the car is currently on has a radius of 18.0 m , find the minimum height h so that the car will not fall off the track at the top of the circular part of the loop.
Answers
The minimum height required for the car to not fall off the track at the top of the circular part of the loop is 1 meter.
To determine the minimum height required for the car to not fall off the track at the top of the circular part of the loop, we need to consider the forces acting on the car at that point.
At the top of the loop, the car is experiencing two forces: the gravitational force (mg) acting downward and the centripetal force (mv²/r) acting inward. For the car to remain on the track, the centripetal force must be greater than or equal to the gravitational force.
Let's calculate the minimum height using this information.
Given:
Radius of the loop (r) = 18.0 m
At the top of the loop, the net force acting on the car is the centripetal force minus the gravitational force:
mv²/r - mg ≥ 0
We can rearrange this equation to solve for the minimum height:
mv²/r ≥ mg
v² ≥ rg
v = √(rg)
where v is the speed of the car.
To avoid complicating the calculation with the car's speed, we can assume the car is just at the point of leaving the track at the top of the loop, so it is not accelerating (v = 0).
In this case, the centripetal force is zero, and the gravitational force is the only force acting on the car.
mg ≥ 0
Therefore, the minimum height required can be found by equating the gravitational potential energy (mgh) to the gravitational force (mg):
mgh = mg
Canceling out the mass (m) from both sides of the equation, we have:
gh = g
Simplifying further:
h = 1
Therefore, the minimum height required for the car to not fall off the track at the top of the circular part of the loop is 1 meter.
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I’m pretty sure it’s a,h I just need a second opinion
Answers
The vectors are said to be equal if they have same magnitude as well as same direction.
In case of C and G,
The direction of both the vectors are same but the magnitude of G is more than C.
Thus, C and G are not equal vectors.
In case of E and D,
Both the vectors have opposite direction to each other and the magnitude of D is more than E.
Thus, E and D are not equal vectors.
In case of B and C,
Both the vectors have same direction but the magnitude of C is more than the magnitude of B.
Thus, B and C are not equal vectors.
In case of A and H,
Both the vectors have same direction and both the vectors cover three boxes, thus, the magnitude of the vectors is same.
Hence, A and H are equal vectors.
A 17,250 kg rocket is pushed with a thrust of 7236904 N. What is the acceleration of the rocket?.
Answers
The acceleration of the rocket of mass 17250 kg when pushed with a thrust of 7236904 N is 409.73 m/s².
What is acceleration?Acceleration can be defined as the rate of change of velocity
To calculate the acceleration of the rocket, we use the formula below, And this formula is obtained from newton's second law of motion.
Formula:
ma = T-mg.............. Equation 1Where:
m = mass of the rocketa = acceleration of the rocketT = Thrust on the rocketg = acceleration due to gravity of the rocket.Make a the subject of the equation
a = (T-mg)/m............. Equation 2From the question,
Given:
T = 7236904 Nm = 17250 kgg = 9.8 m/s²Substitute these values into equation 2
a = [7236904-(17250×9.8)]/17250a = (7236904-169050)/17250a = 7067854/17250a = 409.73 m/s²Hence, The acceleration of the rocket is 409.73 m/s².
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when you turn on music on your phone, what energy transformation takes place ?
Answers
Answer: A Battery contains chemical energy which transfers electrical energy into the phone, powering it and also transferring Light energy, Sound energy and Heat energy.
Explanation:
An astronaut of mass 70 kg weighs 700 n on earth's surface. his weight on the surface of mars, where the acceleration due to gravity is 3.7 m/s2, would be about?
Answers
The astronaut's weight on the surface of Mars is 259 N
To solve this exercise, the formula and procedure to be applied is:
W = m * g
Where:
W = weightm = massg = gravityInformation about the problem:
g= 3.7 m/s2m = 70 kgW=?1 N = kg * m/s²Applying the weight formula, we get:
W = m * g
W = 70 kg * 3.7 m/s2
W = 259 N
What is gravity?In physics, gravity is the force of attraction that the earth exerts on all bodies possessing mass by pulling them toward its center.
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KIIS FM broadcasts at 102.7 MHz, what is the wavelength of that radio wave?
Answers
Answer:
2.92 m
Explanation:
As we know, frequency × Wavelength = Speed of light
so here frequency of 102.7 MHz can be written as 102.7× 10⁶ Hz..
So Lambda (wavelength) = 3×10⁸/ 102.7 × 10⁶ which gives 2.92 metres or 2.92 × 10¹⁰ Å
A force of 203 N is exerted on 8.11 -kg bowling ball over time span of 0.784 seconds
Answers
The change in momentum of the bowling ball of mass 8.11 kg is 159.152 kgm/s.
What is change in momentum?The change in the momentum is equal to the product of the mass and the change in the velocity.
To calculate the change in momentum of the bowling ball, we use the formula below.
Formula:
ΔM = Ft............ Equation 1Where:
ΔM = Change in momentumF = Force applied to the bowling ballt = TimeFrom the question,
Given:
F = 203 Nt = 0.784 sSubstitute these values into equation 1
ΔM = 203×0.784ΔM = 159.152 kgm/sHence, the change in momentum of the ball is 159.152 kgm/s.
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Complete question: A force of 203 N is exerted on 8.11 -kg bowling ball over time span of 0.784 seconds. Calculate the change in momentum of the bowling ball
The space shuttle slows down from 1200 km/hr to 400 km/hr over 10 seconds. What is the space shuttles deceleration?
Answers
That's if the answer should be in m/s2.
Which is a characteristic of centripetal acceleration?
A. It is directed outward from the center of a circle.
B. It is directed inward, toward the center of a circle
C. It results in an object moving faster.
D. It results in an object moving slower.
Answers
Answer: The Answer is B. It is directed inward, toward the center of a circle.
Explanation:
in analysis by mass spectrometry, aldehydes and ketones prefer to fragment by _____, which produces a resonance-stabilized acylium ion. multiple choice question.
Answers
In the analysis by mass spectrometry, aldehydes, and ketones prefer to fragment by ∝-cleavage, which produces a resonance-stabilized acylium ion.
Aldehydes and ketones are known to experience ∝-cleavage fragmentation during mass spectrometry analysis. A resonance-stabilized acylium ion is created as a result of this fragmentation process, which entails the breaking of a bond close to the carbonyl group (C=O). The stability attained by resonance effects leads to ∝-cleavage fragmentation. The carbonyl group's oxygen atom has a single pair of electrons that can delocalize into the nearby carbon-carbon (C-C) bond. The positively charged acylium ion is created as a result of this resonance stabilization.
The acylium ion produced by ∝-cleavage fragmentation can go through a number of further processes in the mass spectrometer, including rearrangements, eliminations, or more fragmentation, producing recognizable fragment ions. The original aldehyde or ketone component is then recognized from these fragment ions by detection and analysis.
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When a golf ball is hit, it travels at 41 meters per second. The mass of a golf ball is 0.045kg. Calculate the kinetic energy of the golf ball.
Answers
Answer:
75.645 J
Explanation:
The kinetic energy is related to the mass and velocity by the formula ...
KE = 1/2mv²
For the given mass of 0.045 kg, and velocity of 41 m/s, the kinetic energy is ...
KE = 1/2(0.045 kg)(41 m/s)² = 75.645 J
__
The unit of energy, joule, is a derived unit equal to 1 kg·m²/s².
when the ball is at its lowest point, is the tension in the string greater than, less than, or equal to the ball's weight?
Answers
When the ball is at its lowest point, the tension in the string is greater than the ball's weight.
Stretching, stretching behaviour, or the state of being stiffly stretched. muscle tensing: stress perception 1b. : one or both of two counteracting forces that induce or tend to cause extension.
Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The best demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when a pull force is applied to it.
The pressure inside a vessel, such as the pressure in the blood vessels (blood pressure). For instance, hypertension is the medical term for high blood pressure. Stress, particularly when it manifests as tensed scalp muscles, bottled-up emotions, or anxiety.
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. four particles of charge q are fixed at the corners of a square with sides of length l, as shown in the figure. one particle is moved from its original position to the center of the square by an external force. the work performed by the external force is:
Answers
The work performed by the external force on moving from its original position to the center of the square is zero.
The work done by an external force on a system is defined as the change in the system's energy. In this case, the system consists of the four charges and the external force. Since the charges are fixed in place, they do not move and therefore do not change their potential energy.
When one particle is moved to the center of the square, it gains potential energy due to its new position relative to the other charges. This potential energy is not due to the external force, but rather to the electric field created by the other charges. Therefore, the work performed by the external force is zero, since it does not contribute to the change in potential energy of the system.
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How many
different
elements are
present in
C6H12O6 ? How do you know
Answers
C6H12O6 contains 3 elements: carbon, hydrogen, and oxygen.
the swirling gas that collects around a compact object, as its binary companion transfers material to it, is called
Answers
NOT an event horizon is its binary counterpart, which transports matter to it.
What is an object in a sentence?To refer to the item or person that is the target of an action, we typically use the word "object." Alternatively, the recipient. In a sentence, a verb's action is transferred to a noun or pronoun as a direct object. It typically responds to the what- or whom-questions regarding the verb.
What is a picture or an object?Icons, cursors, buttons, sprites, and other complicated artworks can be made from a collection of simple visual pieces called image objects. Without having to sketch a single pixel, Image Objects let you express creativity.
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List out of how animals and plants can cause weathering.
Plants
Answers
if a toaster has 12 ohms of resistance in a 120 volt circuit, the amount of current in the circuit will be ____Amps.
Answers
Given data
*The given resistor is R = 12 ohms
*The given voltage is V = 120 V
The formula for the current flows in the circuit is given as
\(I=\frac{V}{R}\)Substitute the values in the above expression as
\(\begin{gathered} I=\frac{120}{12} \\ =10\text{ A} \end{gathered}\)Thus, the amount of current flows in the circuit is I = 10 A
Which phrase describes a risk associated with producing energy in a nuclear power plant?
Answers
Answer:
Production of wastes needing long-term storage
Explanation:
The diameter of a metal rod is measured by 12 inspectors, each using both a micrometer caliper and a vernier caliper. The results are shown in Table 4E.3. Is there a difference between the mean measurements produced by the two types of caliper? Use alpha=0.01.
Measurements Made by the Inspectors
Inspector Micrometer Caliper Vernier Caliper
1 0.150 0.151
2 0.151 0.150
3 0.151 0.151
4 0.152 0.150
5 0.151 0.151
6 0.150 0.151
7 0.151 0.153
8 0.153 0.155
9 0.152 0.154
10 0.151 0.151
11 0.151 0.150
12 0.151 0.152
Answers
The mean measurements produced by the two types of calipers, micrometer caliper and vernier caliper, are compared to determine if there is a significant difference between them. The significance level chosen for the comparison is alpha=0.01.
To assess the difference between the mean measurements, a paired t-test can be conducted. The null hypothesis (H0) states that there is no significant difference between the means of the two calipers, while the alternative hypothesis (H1) states that there is a significant difference.
Using the given data, the mean measurements for each inspector using the micrometer caliper and vernier caliper can be calculated. Then, the paired t-test can be performed, considering the sample size, means, and standard deviations.
Based on the results of the t-test, if the calculated p-value is less than the chosen significance level (0.01), the null hypothesis can be rejected, indicating that there is a significant difference between the mean measurements produced by the two types of calipers. On the other hand, if the p-value is greater than 0.01, there is not enough evidence to reject the null hypothesis, suggesting that there is no significant difference between the mean measurements.
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The measurements from the Micrometer Caliper and Vernier Caliper can be compared using a paired t-test. This statistical method will test if there is a significant difference in the means with a given significance level (alpha) of 0.01.
Explanation:To answer this question, we can perform a paired t-test to compare the mean of the measurements from the Micrometer Caliper and Vernier Caliper. A paired t-test is a statistical method used to compare two paired (associated) groups to determine whether there is a significant difference in the means of these groups. The standard significance level (alpha) is typically set at 0.05, but this question stipulates an alpha of 0.01. Based on the results provided, a mean for each type of caliper would be calculated, then the differences between the paired measurements are calculated. Those differences are then used to calculate the t-test statistic. A different t-distribution is used depending upon whether the variances of the two groups are assumed to be equal or not.
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Which evidence did Wegener use to develop the theory of continental drift?
Similar fossils were found on different continents.
The climate of Siberia has always been the same.
There is no evidence of glaciers anywhere in South America.
The Rocky Mountains are taller than the Appalachian Mountains.
Answers
Answer:
your answer is There is no evidence of glaciers anywhere in South America.
have a good day!
Explanation:
Answer: C
Explanation: i took the test so its correct :)
if the train is accelerating and the bisicle is traveling at a constant velocity, what do you know about their speed?
Answers
An electrical generator creates electricity by
A) By spinning a turbine with kinetic energy
B) By using Gasoline
C) By exposing a coil of wire to a changing magnetic field
D) By Aligning the magnetic domains of the coil of wire
Answers
A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S(t)=29+12e −0.03t
, where t is the time (in years) since the stock was purchased Find the average price of the stock over the first six years. The average price of the stock is $ (Round to the nearest cent as needed.)
Answers
The average price of the stock over the first six years is approximately $42.61.
To find the average price of the stock over the first six years, we need to calculate the average value of the function S(t) = 29 + 12\(e^{-0.03t}\)over the interval t = 0 to t = 6.
The average value of function f(x) over the interval [a, b] will given by;
Average value = (1 / (b - a) × ∫[a to b] f(x) dx
In this case, the function is S(t) = 29 + 12\(e^{-0.03t}\), and we want to find the average value over the interval t = 0 to t = 6.
Average price = (1 / (6 - 0) × ∫[0 to 6] (29 + 12\(e^{-0.03t}\) dt
Let's calculate the integral;
∫(29 + 12\(e^{-0.03t}\) dt = 29t - (12 / 0.03)\(e^{-0.03t}\)
Now, we substitute the limits of integration;
Average price = (1 / 6) × [(29 × 6 - (12 / 0.03)\(e^{-0.03X6}\) - (29 × 0 - (12 / 0.03)\(e^{-0.03X0}\)]
Simplifying further;
Average price = (1 / 6) × [(174 - (12 / 0.03) \(e^{-0.18}\) - (0 - (12 / 0.03)e⁰]
Since e⁰ = 1;
Average price = (1 / 6) × [(174 - (12 / 0.03)\(e^{-0.18}\) - 0]
Average price = (1 / 6) × (174 - (12 / 0.03)\(e^{0.18}\)
Now we calculate the average price by substituting the given values:
Average price = (1 / 6) × (174 - (12 / 0.03)\(e^{-0.18}\)
≈ $42.61 (rounded to the nearest cent)
Therefore, the average price of the stock over the first six years is approximately $42.61.
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What simple way of interpretataing astronomical observations did copenicus advicate?
Answers
Nicolaus Copernicus advocated that the Earth and all other planets orbits around the sun in circular paths at uniform speeds.
Nicolaus Copernicus named this model as Copernicus's Heliocentric Model in 1543. Until his theory was published, it was believed that the Earth is the center of the solar system and the sun moves around it.
The mistake in his theory is that the orbits are circle in shape whereas the correct shape is elliptical which was later corrected by Kepler's model in 1609 which was later proved by Galileo Galilei with the help of telescope.
Therefore, Nicolaus Copernicus advocated that the Earth and all other planets orbits around the sun in circular paths at uniform speeds.
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Which of these substances contains a compound made up of 3 different types of atom?
Answers
Answer: E
Explanation:
Each colored ball represents an atom. We are looking for a molecule (collection of bonded atoms) with 3 types of atoms. So we are looking for a molecule with 3 colors attached. E had red, blue, and yellow, and is the correct answer.
D is incorrect because while there are 3 atoms present, not all three are bonded.
Question 29 of 43
Which is true of infrared waves?
They have shorter wavelengths than X-rays.
They give off more energy than gamma rays.
Ο Ο Ο Ο
o They have longer wavelengths than ultraviolet waves.
They have higher frequencies than visible light waves
Answers
Infrared wave basically have shorter wavelengths than X-rays. The correct option is A.
What is infrared wave?A section of the electromagnetic radiation spectrum with wavelengths ranging from roughly 700 nanometers (nm) to one millimetre is known as infrared radiation (IR), or simply infrared (mm).
While shorter than radio waves, infrared waves are longer than visible light waves.
Infrared radiation has the ability to ease muscle tension and encourage local blood circulation.
Infrared radiation has been used in conventional medicine to treat conditions including autoimmune diseases and issues with wound healing in addition to relieving muscle pain and tension.
Infrared waves are shorter than radio waves but longer than visible light waves.
Thus, the correct option is A.
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A car starts at rest and accelerates at a rate of 4 m/s^2. How far does the car travel in 5
seconds? Why?
A) 10 m
B) 20 m
C) 50 m
D) 100m
Answers
Answer:
C. 50m
Explanation:
Given parameters:
Initial velocity = 0m/s
Acceleration = 4m/s²
Time of travel = 5s
Unknown:
distance covered = ?
Solution:
To solve this problem, we use the expression below;
S = ut + \(\frac{1}{2}\) at²
S is the distance
u is the initial speed
t is the time
a is the acceleration
S = (0x 5) + \(\frac{1}{2}\) x 4 x 5² = 50m
how many electrons does boron have
Answers
Answer:
5 Electrons
Explanation:
Boron has 5 protons, 5 neutrons and 5 electrons. The atomic number (also known as the proton number) of Boron is 5 as it has 5 protons. It has a mass number of 10, as protons and neutron have a relative atomic mass of 1 each, and a neutral charge, as there are equal numbers of +1 protons and −1 electrons.
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by moving the screen only, change the pattern so you can see only the wide interference pattern. is the pattern you see now the single slit pattern or the double slit pattern? how can you tell?
Answers
If you move the screen only, you will not see any interference pattern on the screen. The interference pattern is created by the diffraction of light through the two slits. When the screen is moved, the distance between the slits and the screen changes, and the interference pattern disappears.
To tell if you are seeing the single slit or the double slit pattern, you can look at the interference pattern on the screen. If you are seeing a pattern of bright and dark fringes on the screen, you are seeing the double slit pattern.
This pattern is characteristic of wave interference and is produced when the light passes through two closely spaced slits. On the other hand, if you do not see any interference pattern on the screen, you are seeing the single slit pattern. This pattern is characteristic of wave diffraction and is produced when the light passes through a single slit.
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