1) [tex]6.11\cdot 10^{10} m/s^2[/tex]
The force experienced by the proton is
[tex]F=qE[/tex]
where
[tex]q=1.6\cdot 10^{-19}C[/tex] is the proton charge
[tex]E=635 N/C[/tex] is the strength of the electric field
Substituting into the equation,
[tex]F=(1.6\cdot 10^{-19} C)(635 N/C)=1.02\cdot 10^{-16}N[/tex]
The acceleration of the proton is given by Newton's second law:
[tex]a=\frac{F}{m}[/tex]
where
[tex]F=1.02\cdot 10^{-16}N[/tex] is the force exerted on the proton
[tex]m=1.67\cdot 10^{-27} kg[/tex] is the proton's mass
Substituting,
[tex]a=\frac{1.02\cdot 10^{-16}N}{1.67\cdot 10^{-27}kg}=6.11\cdot 10^{10} m/s^2[/tex]
2) [tex]2.13\cdot 10^{-5} s[/tex]
We can use the following equation:
[tex]a=\frac{v-u}{t}[/tex]
where
[tex]a=6.11\cdot 10^{10} m/s^2[/tex] is the acceleration of the proton
[tex]v=1.30\cdot 10^6 m/s[/tex] is the final velocity
u = 0 is the initial velocity
t is the time
Solving the equation for t, we find
[tex]t=\frac{v-u}{a}=\frac{1.30\cdot 10^6 m/s -0}{6.11\cdot 10^{10} m/s^2}=2.13\cdot 10^{-5} s[/tex]
3) 13.86 m
The distance travelled by the proton is given by the equation
[tex]d=ut + \frac{1}{2}at^2[/tex]
where
u = 0 is the initial velocity
[tex]t=2.13\cdot 10^{-5} s[/tex] s the time
[tex]a=6.11\cdot 10^{10} m/s^2[/tex] is the acceleration of the proton
Substituting,
[tex]d=0 + \frac{1}{2}(6.11\cdot 10^{10}m/s^2)(2.13\cdot 10^{-5} s)^2=13.86 m[/tex]
4) [tex]1.41\cdot 10^{-15} J[/tex]
The final kinetic energy of the proton is given by
[tex]K=\frac{1}{2}mv^2[/tex]
where we have
[tex]m=1.67\cdot 10^{-27} kg[/tex] is the proton's mass
[tex]v=1.30\cdot 10^6 m/s[/tex] is the final velocity
Substituting into the formula,
[tex]K=\frac{1}{2}(1.67\cdot 10^{-27}kg)(1.30\cdot 10^6 m/s)^2=1.41\cdot 10^{-15} J[/tex]
The magnitude of the proton's acceleration can be found using Newton's second law. The time it takes for the proton to reach a given speed can be calculated using the equation for linear motion. The distance the proton moves can be determined using the equation for distance traveled. The kinetic energy of the proton can be calculated using the equation for kinetic energy.
Explanation:To find the magnitude of the acceleration of the proton, we can use the equation F = ma, where F is the force exerted on the proton and m is its mass. In this case, the force is given by F = qE, where q is the charge of the proton and E is the electric field. Since the charge of the proton is known, we can calculate the force and then use Newton's second law to find the acceleration.
Once we have the acceleration, we can use the equation v = u + at to find the time it takes for the proton to reach the given speed, where v is the final velocity, u is the initial velocity (0 in this case), a is the acceleration, and t is the time.
To find the distance the proton has moved, we can use the equation s = ut + (1/2)at², where s is the distance, u is the initial velocity, t is the time, and a is the acceleration.
To calculate the kinetic energy of the proton, we can use the equation KE = (1/2)mv², where KE is the kinetic energy, m is the mass of the proton, and v is its velocity.
What was the first manmade satellite put into orbit
The Soviet Union's Sputnik 1, it was launched October 4th 1957.
tudy the images about geologic time.
What is a noticeable difference between both eras?
The Paleozoic era, not the Mesozoic era, had the first dinosaurs.
The first mammals emerged in the Paleozoic era, not the Mesozoic era.
The Mesozoic era, not the Paleozoic era, had the first animals with shells.
The first flowering plants appeared in the Mesozoic era, not the Paleozoic era.
Answer:
The first flowering plants appeared in the Mesozoic era, not the Paleozoic era
Explanation:
The Mesozoic era is well known and most famous because of the rule of the dinosaurs which were the dominant animals for most of this are. Also, it is the era in which the mammals appeared, though they lived in the shadows of the dinosaurs and only became dominant after their extinction. Another important evolution that took place and is not mentioned very often is the appearance of the first flowering plants. This was a revolutionary trait for the plants, and it helped them to survive in the changing climate on Earth. Soon this trait enabled this type of plants to spread out significantly and to become one of the most dominant organisms on the planet in the following era.
A television camera lens has a 17-cm focal length and a lens diameter of 6.0 cm. what is its number?
Answer:
= 2.83
Explanation:
F number (N) is given by the formula;
F- number = f/D
where f = focal length of lens and D = diameter of the aperture
Therefore;
F number = 17 cm/6 cm
= 2.83
The number of the television camera lens with focal length 17 cm and lens diameter 6.0 meter is 2.83.
What is the focal length of the lens?The focal length of the lens is the length of the distance between the middle of the lens to the focal point.
It can be find out using the following formula as,
[tex]f=d\times n[/tex]
Here, (c)is the diameter the lens and, (n) is the number of the lens. This formula can be written as,
[tex]n=\dfrac{f}{d}[/tex]
The television camera lens has a 17-cm focal length and a lens diameter of 6.0 cm. Thus put this values in the above formula as,
[tex]n=\dfrac{17}{6}\\n=2.83[/tex]
Thus, the number of the television camera lens with focal length 17 cm and lens diameter 6.0 meter is 2.83.
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What is an object’s acceleration if it is moving at 30 m/s and comes to a stop in 5 s? –30 m/s2 –6 m/s2 30 m/s2 6 m/s2
Answer:32m/s
Explanation:
Answer:
The acceleration is -6 m/s2
Explanation:
The equation for the speed of a body is
V = Vo + a t
Where
Vo is the initial velocity, a is the acceleration and t is the time,
When the body stops the speed is zero
0 = Vo + a t
a = Vo / t
substitute values
a = - 30/5
a = - 6 m/s2
The negative sign indicates that acceleration opposite movement
Whenever an object undergoes uniform circular motion, it experiences a net force
A) directed toward the normal.
B) equal to the mass times the velocity.
C) directed toward the center of the circle.
D) equal to mass times velocity divided by the radius of the circle.
Answer:
C) directed toward the center of the circle.
Explanation:
An object undergoing uniform circular motion is an object that is moving at constant speed along a circular trajectory.
According to Newton's Laws, in order to keep the object in circular motion, there must be a net force that keeps changing the object's direction (otherwise, the object would just move in a straight path due to its inertia).
This force is called centripetal force, and it always points towards the centre of the circular path. Its magnitude is given by
[tex]F=m\frac{v^2}{r}[/tex]
where
m is the mass of the object
v is the speed
r is the distance of the object from the centre of the trajectory
Answer:
C) directed toward the center of the circle.
Explanation:
Whenever an object undergoes uniform circular motion, it experiences a net force directed toward the center of the circle. The magnitude of this force is represented by the formula [[m[tex]v^{2}[/tex]/r]].
in situations involving equal masses, chemical reactions produce less energy than what reactions?
help fast!!!!
Answer:
Nuclear reaction
Hope this helps! =)
Explanation:
Explanation:
A chemical reaction is defined as the reaction that involves exchange of electrons between the reacting atoms.
For example, [tex]2Na(s) + Cl_{2}(g) \rightarrow 2NaCl[/tex]
Mass of Na = 23 g/mol
Mass of Cl = 35 g/mol
Mass of NaCl compound = (23 + 35) g/mol = 58 g/mol
So, in chemical reactions law of conservation of mass is obeyed because mass of reacting species is changing from one form to another.
Whereas in nuclear reactions there is splitting or combining of atomic nuclei of atom(s). Since, nuclei is involved in nuclear reaction so more energy is required.
Also, E = [tex]mc^{2}[/tex] so, in nuclear reactions mass of reacting atoms changes into energy. This results in formation of larger amount of energy.
Therefore, we can conclude that in situations involving equal masses, chemical reactions produce less energy than nuclear reactions.
Which statement correctly describes the current in a circuit that is made up of any two resistors connected in series with a battery
A. The current in the battery is less than the current in either resistor.
B. The current in the battery equals the product of the currents in the resistors.
C. The current in the battery equals the sum of the currents in the resistors.
D. The current in the battery and in each resistor is the same
Answer:
D. The current in the battery and in each resistor is the same
Explanation:
In a series circuit, all the components of the circuit are connected in the same branch of the circuit - this means that the current flowing through each component is the same. Therefore, the current in the battery is equal to the current flowing through each resistor.
The total resistance of a series of n resistors is given by the sum of the individual resistances:
[tex]R=R_1+R_2+...+R_n[/tex]
On the contrary, when the components are connected in parallel to the battery, then each of them has the same voltage of the battery, but not the same current.
You are working with a magnet and it breaks in half. You then end up with
A) One north and one south pole.
B) Two south poles only.
C) Two north poles only.
D) Two magnets, each with a south and a north pole.
Correct Answer is D.
The other answers do not make sense. Imagine this. You break a magnet in half. All it does is become a smaller magnet.
You are working with a magnet and it breaks in half. You then end up with two magnets, each with a south and a north pole (D).
Which is not an example of a lever? light switch scissors knife broom
Answer:
scissors
Explanation:
Answer:
Let's first remember what a lever is used for... it allows one to magnify the amount of force being applied to something, via a stiff arm. Now let's go through a process of elimination.
Light switch: Yes there's a stiff arm. And although you're not doing much work turning a light on and off, the switch does magnify the force you apply to the mechanism hidden behind the wallplate. We'll call it a lever.
Knife: Acting as a wedge to force two halves a whole apart. However, it can be used as a lever too. Pushing a knife onto something doesn't always cut it right away. Sometimes, you have to put the point down and then apply force to the handle, using whatever you're cutting as fulcrum. Ultimately a wedge, but still acting as a lever.
Broom: Are you on your knees sweeping with a toothbrush, which takes a lot of work, or are you holding a broom handle in two hands, moving one and using the other as a fulcrum? Thought so. Still a lever.
Scissors: Like the knife, they act as a wedge, cutting through thin materials. However, the cutting point is right at the fulcrum of the scissors! You're not magnifying any force there. So I would say no, scissors are not an example of a lever.
Explanation:
The speed at which an object is moving in a specific direction is its A speed. B acceleration rate. C velocity. D mechanical potential energy rate
Answer:
B. acceleration rate
Explanation:
Answer:
B
Explanation:
Which statement is a description of Charles's law? The temperature and volume of a gas are directly proportional when pressure is constant. The temperature and volume of a gas are inversely proportional when pressure is constant. The volume and pressure of a gas are directly proportional when temperature is constant. The volume and pressure of a gas are inversely proportional when temperature is constant.
Answer:
The temperature and volume of a gas are directly proportional when pressure is constant.
Explanation:
Charles's Law was proposed by a French chemist, Jacques Charles. The law states that "The volume of a fixed mass of a gas varies directly as its absolute temperature if the pressure is constant".
The law shows the relationship between volume and temperature at a constant temperature. It is mathematically expressed as:
V∝T(P,n constant)
Answer: it’s A for e2020
Explanation:
Just took the test
What happens to a ray of light passing through the center of a lens?
A.
It passes without any deviation.
B.
It converges to the focal point.
C.
It travels parallel to the principal axis.
D.
It diverges away from the principal axis.
Answer:
A. It passes wthout any deviation
Explanation:
In real lenses the light does not go straight through, there is a refraction. But we can assume that that it passes without any deviation because the center of a lens is comparatively flat that the other points of the lens.
Answer:
A. It passes without any deviation.
Explanation:
For making ray diagram, following rules are followed:
A ray of light incident parallel to the principal axis converges or appears to diverge from focus.An incident ray passing through the focus becomes parallel to the principal axis after passing through the lens.A ray of passing through the center of a lens passes without deviation.Thus, the correct option is A.
An electromagnetic flowmeter applies a magnetic field of0.20 {\rm T} to blood flowingthrough a coronary artery at a speed of 15 {\rm cm/s}.
What force is feltby a chlorine ion with a single negative charge?
Answer:
[tex]4.8\cdot 10^{-21} N[/tex]
Explanation:
The force exerted by a magnetic field on a charged particle is given by
[tex]F=qvB[/tex]
where
q is the charge of the particle
v is the speed
B is the magnetic field strength
In this problem we have:
[tex]B = 0.20 T[/tex] is the strength of the magnetic field
[tex]v = 15 cm/s = 0.15 m/s[/tex] is the velocity
[tex]q=e = 1.6\cdot 10^{-19}C[/tex] is the magnitude of the charge of a single chlorine ion
Substituting into the equation,
[tex]F=(1.6\cdot 10^{-19} C)(0.15 m/s)(0.20 T)=4.8\cdot 10^{-21} N[/tex]
The force felt by a chlorine ion with a single negative charge flowing through a coronary artery under a magnetic field of 0.20 T can be calculated using the Lorentz force law. Given that the velocity of the blood flow is 15 cm/s, the calculated force is -4.8 * 10^-21 N. The negative sign indicates that the force acts in the direction opposite to the magnetic field.
Explanation:In Physics, the force exerted by a magnetic field on a charged particle like a chlorine ion is given by the Lorentz force law, which states F = qvBsinθ. In this equation, 'F' is the magnetic force, 'q' is the charge of the particle, 'v' is the velocity of the particle, 'B' is the magnetic field strength, and 'θ' is the angle between the velocity and magnetic field vectors.
In your case, the chlorine ion has a single negative charge (q = -1.6 * 10^-19 C), the velocity of the blood flow is given as 15 cm/s (convert this to m/s by multiplying by 0.01 to give v = 0.15 m/s), and the magnetic field strength is 0.20 T. Assuming the flow of blood is perpendicular to the magnetic field, the angle θ = 90° so sinθ = 1.
Substituting these values into the Lorentz force equation gives F = (-1.6 * 10^-19 C) * (0.15 m/s) * (0.20 T) * 1 = -4.8 * 10^-21 N. The negative sign indicates the force acts opposite to the direction of the magnetic field.
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An engine does 15.0 kj of work while exhausting 37.0 kj to the cold reservoir. What is the efficiency of the engine?
Answer:
28.8 %
Explanation:
The efficiency of an engine is given by:
[tex]\eta = \frac{W}{Q_{in}}[/tex]
where
W is the useful work done
[tex]Q_in[/tex] is the heat in input
For this machine, we have
W = 15.0 kJ is the work done
[tex]37.0 kJ[/tex] is the heat exchausted to the cold reservoir, so the total amount of heat in input is
[tex]Q_{in} = 15.0 kJ + 37.0 kJ=52.0 kJ[/tex]
And so the efficiency is
[tex]\eta=\frac{15.0 kJ}{52.0 kJ}=0.288[/tex]
which corresponds to 28.8 %.
The efficiency of an engine is calculated by dividing the work output by the total energy input. In this case, the engine has an efficiency of 28.8%.
Explanation:The efficiency of an engine can be calculated by the ratio of the work output to the heat input. In this case, the work output done by the engine is 15.0 kJ, and the heat input is the total energy supplied to the engine which is the sum of the work done (15.0 kJ) and the energy exhausted to the cold reservoir (37.0 kJ), giving a total of 52.0 kJ. Thus, the efficiency of the engine can be found by dividing the work done by the total energy supplied, or (15.0 kJ)/(52.0 kJ) = 0.288, or 28.8%.
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Which is an example of nonobjective statement about a picture that shows two people talking while standing under a tree on a sunny day
A:the two people are standing under a tree on a sunny day
B: the two people are standing under a tree
C:the two people are talking together on a Sunny day
D: the two people are talking about a time when they were younger and ate a picnic lunch under a tree with friends from school
Answer:
D: the two people are talking about a time when they were younger and ate a picnic lunch under a tree with friends from school.Explanation:
This statement is subjective, because it refers to personal issues, which are from subjects. Remember that objective refers to the objects as they are, with no personal opinions, and subjective refers to the subjects, includes their opinion or personal stuff about.
D: the two people are talking about a time when they were younger and ate a picnic lunch under a tree with friends from school is an example of nonobjective statement about a picture that shows two people talking while standing under a tree on a sunny day
What is the meaning of being nostalgic ?
Longing for or thinking fondly of a past time or condition is called being nostalgic
A:the two people are standing under a tree on a sunny day
B: the two people are standing under a tree
C:the two people are talking together on a Sunny day
In all above three statements there is no significance of a picture but in option D: the two people are talking about a time when they were younger and ate a picnic lunch under a tree with friends from school in this statement we can see that there is significance of people where they are talking under a tree about when they were in school that means they must be looking at an old school photograph and feeling nostalgic by remembering old days
hence correct option D: the two people are talking about a time when they were younger and ate a picnic lunch under a tree with friends from school
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Piano tuners tune pianos by listening to the beats between the harmonics of two different strings. When properly tuned, the note A should have a frequency of 440 Hz and the note E should be at 659 Hz.
(a) What is the frequency difference between the third harmonic of the A and the second harmonic of the E?
(b) A tuner first tunes the A string very precisely by matching it to a 440 Hz tuning fork. She then strikes the A and E strings simultaneously and listens for beats between the harmonics. What beat frequency between higher harmonics indicates that the E string is properly tuned?
(c) The tuner starts with the tension in the E string a little low, then tightens it. What is the frequency of the E string when she hears four beats per second?
Piano tuners use frequency differences and beat frequencies to tune pianos.
Explanation:(a) The frequency of the third harmonic of A can be calculated by multiplying the fundamental frequency of A (440 Hz) by 3, resulting in a frequency of 1320 Hz. The frequency of the second harmonic of E can be calculated by multiplying the fundamental frequency of E (659 Hz) by 2, which is 1318 Hz. To find the frequency difference between the two, subtract the second harmonic of E from the third harmonic of A: 1320 Hz - 1318 Hz = 2 Hz.
(b) When the tuner strikes the A and E strings simultaneously, she listens for beats between the harmonics. The beat frequency indicates that the E string is properly tuned. The beat frequency is equal to the difference between the frequencies of the harmonics. In this case, the beat frequency would be 2 Hz.
(c) When the tuner hears four beats per second, it means there is a beat frequency of 4 Hz between the harmonics. To find the frequency of the E string, we can use the formula: Beat Frequency = Frequency of Higher Harmonic - Frequency of Lower Harmonic. Rearranging the formula, we get: Frequency of Higher Harmonic = Beat Frequency + Frequency of Lower Harmonic. Plugging in the values, we get: Frequency of Higher Harmonic = 4 Hz + 659 Hz = 663 Hz.
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Pleaseeee Please help, I will love you forever and ever
0.5000 kg of water at 35.00 degrees Celsius is cooled, with the removal of 6.300 E4 J of heat. What is the final temperature of the water? Specific heat capacity of water is 4186 J/(kg C°).
Remember to identity all of your data, write the equation, and show your work.
Answer:
The answer to your question is
Explanation:
Data
mass = 0.5kg
T1 = 35
T2 = ?
Q = - 6.3 x 10⁴ J = - 63000 J
Cp = 4184 J / kg°C
Formula
Q = mCp(T2 - T1)
T2 = T1 + Q/mCp
Substitution
T2 = 35 - 63000/(0.5 x 4184)
T2 = 35 - 63000/2092
T2 = 35 - 30.1
T2 = 4.9 °C
The initial temperature of the water is 35 degrees then The final temperature of the water will be equal to 4.9 °C.
What is Specific Heat?Specific heat is the amount of energy needed to raise a product's temperature by one degree Celsius per gram. Traditionally, the units of heat capacity are calories or joules per gram per degree Celsius. The specific heat of water, for instance, is 1 calorie (or 4.186 joules) per gram per degree Celsius.
As per the given data in the question,
mass, m = 0.5 kg
Temperature, T₁ = 35
Q = - 6.3 x 10⁴ J
Q = - 63000 J
Cp = 4184 J / kg°C
Use the equation given below,
Q = mCp(T₂ - T₁)
T₂ = T₁ + Q/mCp
Substitute values.
T₂ = 35 - 63000/(0.5 x 4184)
T₂ = 35 - 63000/2092
T₂ = 35 - 30.1
T2 = 4.9 °C
Therefore, the final temperature is 4.9 °C.
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A room with dimensions 7.00m×8.00m×2.50m is to be filled with pure oxygen at 22.0 °C and 1.00 atm. The molar mass of oxygen is 32.0 g/mol.
How many moles n oxygen of oxygen are required to fill the room?
What is the mass m oxygen of this oxygen?
1. 5765 mol
First of all, let's calculate the volume of the room (which corresponds to the volume of the gas):
[tex]V=7.00 m\cdot 8.00 m \cdot 2.50 m=140 m^3[/tex]
We also know the following data about the gas:
[tex]T=22.0^\circ +273 =295 K[/tex] is the temperature
[tex]p=1.00atm = 1.01\cdot 10^5 Pa[/tex] is the pressure
Then we can use the ideal gas law
[tex]pV=nRT[/tex]
with R being the gas constant
to find the number of moles of the gas:
[tex]n=\frac{pV}{RT}=\frac{(1.01\cdot 10^5 Pa)(140 m^3)}{(8.314 J/mol K)(295 K)}=5765 mol[/tex]
2. 184.5 kg
The molar mass of oxygen is
[tex]M_m = 32.0 g/mol[/tex]
this corresponds to the mass of 1 mol of oxygen.
In this problem, the number of moles is
n = 5765 mol
So the total mass of these n moles of oxygen will be:
[tex]m=n M_m = (5765 mol)(32.0 g/mol)=1.845\cdot 10^5 g=184.5 kg[/tex]
Please help, I do not understand this question... ¯\_(ツ)_/¯
We know that the electromagnetic spectrum uses wavelengths and frequencies to determine a lot about outer space. How does it help us find out the make-up of stars?
The answer is through light.
Light is unique it carries information it has no mass and it is insanely fast.
But what is light?
You can imagine it as a stream of photons (elementary particles) traveling from its source to surface of an object with a speed of light where they bounce of your eye. That very moment the information of a single photon in a form of energy is transmitted to your eyes and later on to your brain which processes the gathered information and constructs an image.
When you turn on the light you know that all the photons are coming from it the same thing is with nonanthropogenic light (natural light) we get about 99% from the sun and about 1% from the moon at night.
In the core of our sun elements are fused to make up heavier elements in this process energy is released (E=mc^2, where E is energy, m mass of a single atom fused inside star and c^2 the square of speed of light) in a form of photons and the type of photon (its frequency) determines if it will be visible to our eye and also determines the type of luminosity of stars.
Also if you were to track every single bit of information carried by any photon any time you would unravel the unfolding of the universe from the big bang to today.
Interactive LearningWare 13.1 explores the approach taken in problems such as this one. A composite rod is made from stainless steel and iron and has a length of 0.241 m. The cross section of this composite rod is shown in the drawing and consists of a square within a circle. The square cross section of the steel is 3.76 cm on a side. The temperature at one end of the rod is 88.9 °C, while it is 10.2 °C at the other end. Assuming that no heat exits through the cylindrical outer surface, find the total amount of heat conducted through the rod in two minutes.
Answer:jyjyjjhjh
Explanation:
hjjhjhjhjjh
Rod cells in the retina of the eye detect light using a photopigment called rhodopsin. 1.8 eV is the lowest photon energy that can trigger a response in rhodopsin.
1. What is the maximum wavelength of electromagnetic radiation that can cause a transition? (in nm)
3. In what part of the spectrum is this? (visible light, infrared, xray, or ultraviolet)
1. 686 nm
The lowest photon energy is
[tex]E=1.8 eV[/tex]
Let's convert this energy into Joules first
[tex]E=(1.8 eV)(1.6\cdot 10^{-19} J/eV)=2.9\cdot 10^{-19} J[/tex]
The energy of the photon is given by
[tex]E=\frac{hc}{\lambda}[/tex]
where
h is the Planck constant
c is the speed of light
[tex]\lambda[/tex] is the wavelength
Re-arranging the equation for [tex]\lambda[/tex], we find the maximum wavelength of the photon that can cause a transition:
[tex]\lambda=\frac{hc}{E}=\frac{(6.63\cdot 10^{-34}Js)(3\cdot 10^8 m/s)}{2.9\cdot 10^{-19} J}=6.86\cdot 10^{-7}m=686 nm[/tex]
2. Visible light
The photon of this light is in the visible light part of the spectrum.
In fact, the range of wavelengths of the visible part of the spectrum is
[380 nm - 750 nm]
In particular, we have that the wavelengths in the range
[640 nm - 750 nm]
corresponds to the red light part of the spectrum: since 686 nm falls withing this range, this photon is a red light photon.
The maximum wavelength of electromagnetic radiation that can cause a transition in rhodopsin is approximately 389 nm, which lies in the visible light part of the spectrum.
Explanation:
The maximum wavelength of electromagnetic radiation that can cause a transition in rhodopsin can be calculated using the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the radiation. Rearranging the equation to solve for λ, we have λ = hc/E. Plugging in the given values, we get λ = (6.626 x 10^-34 J · s x 3 x 10^8 m/s)/(1.8 x 1.602 x 10^-19 J) ≈ 389 nm.
This wavelength lies in the visible light part of the spectrum. Visible light ranges from approximately 400 to 700 nm, with shorter wavelengths corresponding to violet light and longer wavelengths corresponding to red light.
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Which resistors in the circuit must have the same amount of charge passing through each second?
i belive the answer is B
Resistors 'C' and 'D' are in series. There's only one possible route for current to flow through them. Every electron that flows through one of them has to flow through the other one. So the current (amount of charge per second) must be the same in 'C' and 'D'. (answer-choice B)
A mass moves back and forth in simple harmonic motion with amplitude A and period T.
a. In terms of T, how long does it take for the mass to move through a total distance of 2A?
t/T= ____________
b. How long does it take for the mass to move through a total distance of 5A?
t/T= ____________
a. 0.5 T
- The amplitude A of a simple harmonic motion is the maximum displacement of the system with respect to the equilibrium position
- The period T is the time the system takes to complete one oscillation
During a full time period T, the mass on the spring oscillates back and forth, returning to its original position. This means that the total distance covered by the mass during a period T is 4 times the amplitude (4A), because the amplitude is just half the distance between the maximum and the minimum position, and during a time period the mass goes from the maximum to the minimum, and then back to the maximum.
So, the time t that the mass takes to move through a distance of 2 A can be found by using the proportion
[tex]1 T : 4 A = t : 2 A[/tex]
and solving for t we find
[tex]t=\frac{(1T)(2 A)}{4A}=0.5 T[/tex]
b. 1.25T
Now we want to know the time t that the mass takes to move through a total distance of 5 A. SInce we know that
- the mass takes a time of 1 T to cover a distance of 4A
we can set the following proportion:
[tex]1 T : 4 A = t : 5 A[/tex]
And by solving for t, we find
[tex]t=\frac{(1T)(5 A)}{4A}=\frac{5}{4} T=1.25 T[/tex]
The time it takes for the mass to move through a distance of 2A is 2 times the period T, and the time it takes for the mass to move through a distance of 5A is 5 times the period T.
Explanation:In terms of T, the time it takes for the mass to move through a total distance of 2A is:
t/T = 2
The time it takes for the mass to move through a total distance of 5A is:
t/T = 5
These equations show that the time it takes for the mass to move through a total distance is proportional to the number of times the amplitude is covered. Therefore, if the distance is 2A or 5A, it will take 2 or 5 times the period T, respectively.
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1. the change in position of an object from start to finish, a vector quantity model 2. a portion of space that contains a value for a measurable quantity at every point in space field 3. speed = distance/? vector 4. the length of the entire path an object travels from start to finish projectile 5. a measurement that has both magnitude and direction distance 6. a change in displacement with respect to time acceleration 7. a mental or physical construct or description that describes a physical phenomenon time 8. a change in velocity with respect to time velocity 9. a measurement that only expresses magnitude, such as time, temperature, distance, and speed displacement 10. objects that are thrown or launched in the air and are subject to gravity scalar
1. the change in position of an object from start to finish, a vector quantity . . . . . displacement
2. a portion of space that contains a value for a measurable quantity at every point in space . . . . . field
3. speed = (distance) / (time to cover the distance)
4. the length of the entire path an object travels from start to finish . . . . . distance
5. a measurement that has both magnitude and direction . . . . . vector
6. a change in displacement with respect to time . . . . . velocity
7. a mental or physical construct or description that describes a physical phenomenon . . . . . model
8. a change in velocity with respect to time . . . . . acceleration
9. a measurement that only expresses magnitude, such as time, temperature, distance, and speed . . . . . scalar
10. objects that are thrown or launched in the air and are subject to gravity . . . . . projectile
Here we want to complete different statements about dynamics, the solutions are:
1) Displacement.2) Field.3) Time.4) Travel distance.5) Vector.6) Velocity.7) Model.8) Acceleration.9) Scalar.10) Free-fall object.So most of these are just definitions, so not a lot can be told about some of the answers, but I will try to develop each one as I can.
1) "the change in position of an object from start to finish, a vector quantity model"
By definition, this is the displacement, the change in between the final and initial position.
2) "a portion of space that contains a value for a measurable quantity at every point in space"
This is a field, it refers to the measure of something (magnetic field, electric field, etc) in a given position in space.
3) "speed = distance/time"
Speed is defined as the quotient between the distance traveled and the time it takes to travel that distance.
4) "the length of the entire path an object travels from start to finish projectile"
This is defined as the "travel distance"
5) "a measurement that has both magnitude and direction"
A vector is a measurement with both magnitude and direction.
6) "a change in displacement with respect to time"
A change in the displacement with respect to time is the velocity, it comes from point 3.
7) "a mental or physical construct or description that describes a physical phenomenon"
This is a model, is just an explanation of a given phenomenon
8) "a change in velocity with respect to time"
The rate of change of velocity with respect to time is the acceleration.
9) "a measurement that only expresses magnitude, such as time, temperature, distance, and speed"
This is a scalar, is a measurement that only has magnitude, not direction.
10) "objects that are thrown or launched in the air and are subject to gravity"
This is a projectile, or more exactly, a free-falling object, if we only look at the vertical problem.
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Describe how electronegativity is related to the metallic character of an element. A) Lower electronegativity means an element is more likely to lose electrons and form cations and have a greater metallic character. B) Higher electronegativity means an element is more likely to keep electrons and form ions and have a lower metallic character. C) Medium electronegativity means an element is more likely to gain electrons and form anions and have some metallic character. D) Electronegativity means an element is more likely to save electrons and form metalloids and have no metallic character.
Answer: The answer is A
Explanation:
Electronegativity is the ability to attract electrons. The periodic trend for electronegativity increases up a column and from left to right along a row. Which means that main group metals have low electronegativity and the transition metals have low to medium electronegativity and a small number of valence electrons. Which then leads the metals to not hold on to their valence electrons very tightly and to lose them easily forming cations. So low electronegativity means high metallic character.
Through what potential difference ΔV must electrons be accelerated (from rest) so that they will have the same wavelength as an x-ray of wavelength 0.150 nm ? Use 6.63×10−34 J⋅s for Planck's constant, 9.11×10−31 kg for the mass of an electron, and 1.60×10−19 C for the charge on an electron. Express your answer using three significant figures.
Answer:
66.3 V
Explanation:
The wavelength of the electron must be equal to that of the x-ray photon:
[tex]\lambda=0.150 nm=0.15\cdot 10^{-9}m[/tex]
the De Broglie wavelength of the electron is related to its momentum, p, by the formula
[tex]p=\frac{h}{\lambda}[/tex]
where h is the Planck constant. Solving the formula, we find
[tex]p=\frac{6.63\cdot 10^{-34} Js}{0.15\cdot 10^{-9}m}=4.4\cdot 10^{-24} kg m/s[/tex]
Now we can find the electron's energy using the formula
[tex]E=\frac{p^2}{2m}=\frac{(4.4\cdot 10^{-24} kg m/s)^2)}{2(9.11\cdot 10^{-31} kg)}=1.06\cdot 10^{-17} J[/tex]
Then, we know that the energy of an electron accelerated through a potential difference of [tex]\Delta V[/tex] is
[tex]E=q\Delta V[/tex]
where
[tex]q=1.60\cdot 10^{-19} C[/tex] is the electron charge
Solving the equation for the potential difference, we find
[tex]\Delta V=\frac{E}{q}=\frac{1.06\cdot 10^{-17} J}{1.60\cdot 10^{-19} C}=66.3 V[/tex]
An element may have several isotopes that contain different numbers of _________ but the same number of _________. A) quarks, mesons B) neutrons, protons C) tachyons, baryons D) electrons, protons
Answer:
An element may have several isotopes that contain different numbers of NEUTRONS but the same number of PROTONS.
Explanation:
Isotopes are defined as the group of such atoms which will have same number of protons but different number of neutrons
So this is basically same atoms but with different number of neutrons
So here we can sat
[tex]_1^1H , _1^2H , _1^3H[/tex]
above are three isotopes of hydrogen
similarly we have many more examples of isotopes in which the atoms are of same type but with different number of neutrons
so here correct answer will be
An element may have several isotopes that contain different numbers of NEUTRONS but the same number of PROTONS.
Final answer:
Isotopes of an element differ in the number of neutrons they have but have the same number of protons. Answer B) neutrons, protons, is correct for the given question on the nature of isotopes.
Explanation:
An element may have several isotopes that contain different numbers of neutrons but the same number of protons. The correct answer to the question is B) neutrons, protons.
Isotopes are variants of a particular chemical element, which while having the same number of protons, differ in the number of neutrons they possess. Thus, isotopes of an element have identical atomic numbers (representing the number of protons) but different mass numbers (representing the total number of protons and neutrons). This variation in the number of neutrons does not affect the chemical properties of an element, as these properties are primarily determined by the number of protons and electrons, which are the same in all isotopes of an element.
A straight 2.20 m wire carries a typical household current of 1.50 A (in one direction) at a location where the earth's magnetic field is 0.550 gauss from south to north. Part A Find the direction of the force that our planet's magnetic field exerts on this cord if is oriented so that the current in it is running from west to east. SubmitRequest Answer Part B Find the magnitude of the force that our planet's magnetic field exerts on this cord if is oriented so that the current in it is running from west to east. F1 F 1 = nothing N SubmitRequest Answer Part C
A) Upward
In order to find the direction of the magnetic force on the wire, we can use the right-hand rule: the index finger, the middle finger and the thumb of the right hand must be placed all of them perpendicular to each other.
So we have:
- Index finger: direction of current in the wire (from west to east)
- Middle finger: direction of magnetic field (from south to north)
- Thumb: direction of the force --> so it will be upward
So, the force will point upward.
B) [tex]1.82\cdot 10^{-4}N[/tex]
The magnitude of the force exerted by the magnetic field on the wire is given by
[tex]F=ILB[/tex]
where
I = 1.50 A is the current in the wire
L = 2.20 m is the length of the wire
[tex]B=0.550 G = 0.55 \cdot 10^{-4}T[/tex]
Substituting into the equation, we find
[tex]F=(1.50 A)(2.20 m)(0.55 \cdot 10^{-4} T)=1.82\cdot 10^{-4}N[/tex]
Final answer:
The force exerted by the Earth's magnetic field on a wire carrying current from west to east is directed upwards. To determine the magnitude of the force, use the formula F = I × L × B × sin(θ) and calculate it to be approximately 0.1815 mN, where I represents current, L length, and B magnetic field.
Explanation:
The student's question involves finding the direction and magnitude of the force exerted by the Earth's magnetic field on a current-carrying wire oriented from west to east. To solve this, we use the right-hand rule for the direction and the formula F = I × L × B × sin(θ) for the magnitude.
Force Direction
Part A asks for the direction of the force. We apply the right-hand rule which indicates that if you point your thumb in the direction of current (from west to east, which is left to right) and your fingers in the direction of the magnetic field (from south to north, or bottom to top), your palm will face towards the direction of the force exerted on the wire. As the current flows from west to east and the Earth's magnetic field goes from south to north, the force on the wire will be directed upwards.
Force Magnitude
Part B asks for the magnitude of the force. The formula we use is F = I × L × B × sin(θ), where F is the force, I is the current (1.50 A), L is the length of the wire (2.20 m), B is the magnetic field, which should be converted from gauss to tesla (1 gauss = 1×10⁻⁴ tesla, so 0.550 gauss = 5.50×10⁻⁵ T), and θ is the angle between the wire and the magnetic field (90° here). With these values, we can calculate the force.
Let's calculate the force:
F = 1.50 A × 2.20 m × 5.50 × 10⁻⁵T × sin(90°)
F = 1.50 × 2.20 × 5.50 × 10⁻⁵ N
F = 0.1815 × 10⁻³ N
F ≈ 0.1815 mN
A 2.0 µF capacitor is charged through a 50,000 ohm resistor. How long does it take for the capacitor to reach 90% of full charge?
Answer:
0.23 s
Explanation:
First of all, let's find the time constant of the circuit:
[tex]\tau=RC[/tex]
where
[tex]R=50,000 \Omega[/tex] is the resistance
[tex]C=2.0\mu F=2.0\cdot 10^{-6}F[/tex] is the capacitance
Substituting,
[tex]\tau=(50,000 \Omega)(2.0\cdot 10^{-6}F)=0.1 s[/tex]
The charge on a charging capacitor is given by
[tex]Q(t)=Q_0 (1-e^{-t/\tau} )[/tex] (1)
where
[tex]Q_0[/tex] is the full charge
we want to find the time t at which the capacitor reaches 90% of the full charge, so the time t at which
[tex]Q(t)=0.90 Q_0[/tex]
Substituting this into eq.(1) we find
[tex]0.90 Q_0 = Q_0 (1-e^{-t/\tau})\\0.90=1-e^{-t/\tau}\\e^{-t/\tau}=1-0.90=0.10\\-\frac{t}{\tau}=ln(0.10)\\t=-\tau ln(0.10)=(0.1 s)ln(0.10)=0.23 s[/tex]
The time it takes for the capacitor to reach 90% of full charge is approximately 0.23 seconds.
Explanation:To calculate the time it takes for the capacitor to reach 90% of full charge, we need to use the time constant equation, which is given by t = RC. In this case, the resistance is 50,000 ohms and the capacitance is 2.0 µF. Multiplying these values gives us a time constant of 0.1 seconds.
To find the time it takes for the capacitor to reach 90% of full charge, we multiply the time constant by 2.3, which is the natural logarithm of 0.9. So the time it takes for the capacitor to reach 90% of full charge is approximately 0.23 seconds.
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Two electrodes connected to a 9.0 v battery are charged to ±45 nc. What is the capacitance of the electrode?
Answer:
[tex]5\cdot 10^{-9} F[/tex]
Explanation:
The capacitance of the electrode is given by:
[tex]C=\frac{Q}{V}[/tex]
where
C is the capacitance
Q is the charge on the electrode
V is the potential difference
In this problem, we have
[tex]Q=45 nC=45\cdot 10^{-9} C[/tex]
V = 9.0 V
Substituting into the equation, we find
[tex]C=\frac{45\cdot 10^{-9}C}{9.0 V}=5\cdot 10^{-9} F[/tex] (5 nF)