. a rocket with a mass of 6.4 * 10^6 kg has a relativistic kinetic energy of 3.3*10^23 j. how fast is the rocket moving?
Answers
Answer:
3211 m/s
Explanation:
Using formula K.E = 1/2mv^2
3.3x10^23 = 1/2(6.4x10^6) x v^2
3.3x10^23 = 3.2x10^6 x v^2
3.3x10^23/3.2x10^6 = v^2
1.03125×10^17 = v^2
Now we take square root on b/s
√1.03125x10^17 = √v^2
3211 m/s = v
or v = 3211 m/s
The rocket is moving at approximately 0.99999999999999999996 times the speed of light.
The relativistic kinetic energy of an object is given by:
K = (γ - 1)\(mc^2\)
where γ is the Lorentz factor, m is the rest mass of the object, and c is the speed of light.
Rearranging the equation, we can solve for the Lorentz factor:
γ = 1 + K/(\(mc^2\))
In this case, the rest mass of the rocket is \(6.4 * 10^6\) kg and the relativistic kinetic energy is \(3.3 * 10^{23}\) J. Therefore, we have:
γ = 1 + K/(\(mc^2\)) = \(1 + (3.3 * 10^{23} J) / (6.4 * 10^6 kg * (299792458 m/s)^2)\)
Simplifying this expression gives:
γ = 315283.95
Now, the Lorentz factor is related to the velocity of the object by:
γ = \(1/ \sqrt{1 - v^2/c^2}\)
where v is the velocity of the object.
Rearranging this equation gives:
v = c * sqrt(1 - 1/γ^2)
Substituting the value of γ calculated earlier gives:
\(v = c * \sqrt{1 - 1/315283.95^2} = 0.99999999999999999996c\)
where c is the speed of light.
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Related Questions
How can you use a screen to
determine whether an image is real or virtual?
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Bill Nye- Static Electricity Answer Key?
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Jerry is anemic. A trip to the doctor reveals normal free iron levels in his plasma. The doctor observes that when Jerry consumes iron-rich food, he efficiently absorbs the iron into the enterocytes of his digestive tract. If he is absorbing the iron fine, why does he present anemic symptoms
Answers
Jerry's anemia symptoms despite normal free iron levels in his plasma can be attributed to factors other than iron absorption in the digestive tract.
While Jerry's ability to absorb iron efficiently into the enterocytes of his digestive tract is commendable, anemia can result from various causes beyond iron absorption. Anemia is a condition characterized by a deficiency of red blood cells or hemoglobin, impairing the oxygen-carrying capacity of the blood.
It can be caused by factors such as inadequate production of red blood cells, excessive destruction of red blood cells, or blood loss. Iron deficiency anemia, the most common type, is primarily caused by a lack of sufficient iron intake or impaired iron absorption.
However, in Jerry's case, since his plasma iron levels are normal and his absorption of iron-rich food is efficient, other factors should be considered. These factors could include underlying medical conditions such as chronic diseases, genetic disorders affecting red blood cell production or function, deficiencies in other nutrients necessary for red blood cell production (e.g., vitamin \(B_1_2\) or folate), or even certain medications that interfere with red blood cell production or function.
Therefore, to determine the cause of Jerry's anemic symptoms, further investigation and evaluation of these alternative factors would be necessary.
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A 12,000 kg boat is moving 4.25 m/s. Its engine pushes 9,200 N forward, but the current pushes back at 12,500 N. How much time does it take to stop? (unit = s)
Answers
The motor boat will require 15.45 seconds to come to a complete stop.
The net force on the boat is the sum of the engine force and the force of the current acting in opposite directions. Therefore, the net force on the boat is,
F_net = F_engine - F_current
F_net = 9,200 N - 12,500 N
F_net = -3,300 N
The negative sign indicates that the net force is acting in the opposite direction to the boat's motion.
We can now calculate the acceleration of the boat using the formula:
a = Fnet / m, where m is the mass of the boat. Plugging in the given values, we get:
a = -3,300 N / 12,000 kg
a = -0.275 m/s², the negative sign indicates that the boat is decelerating.
Finally, we can use the equation of motion, v = u + at, where v is final speed u is initial speed, a and t are acceleration and time.
Rearranging the equation, we get:
t = (v - u) / a
t = (0 - 4.25 m/s) / (-0.275 m/s²)
t = 15.45 s
So, the boat will take 15.45 seconds to stop.
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A 3 kg fish is swimming at 1.5 m/s to the right. It swallows a 0.25kg
fish swimming to the left at 4.0 m/s. What is the velocity of the larger
immediately after lunch?
Show Your Work
Answers
Answer:
1.076 m/s
Explanation:
Given a 3.0 kg fish is swimming at 1.5 m/s to the right. it swallows a 0.25 kg fish swimming to the left at 4.0 m/s. what is the speed and direction of the larger fish immediately after lunch?
Mass of fish m1 = 3 kg
Velocity v1 = 1.5 m/s
Mass of small fish m2 = 0.25 kg
Velocity v2 = - 4 m/s (negative sign since the direction is opposite)
Therefore total mass of fish after swallowing will be M = 3 + 0.25 = 3.25 kg
Let the final velocity of fish be V
Now according to the law of conservation of momentum we have
So m1v1 + m2v2 = M x V
3 x 1.5 + 0.25 x – 4 = 3.25 x V
4.5 – 1 = 3.25 V
3.25 V = 3.5
Or V = 1.076 m/s
So speed of the fish will be 1.076 m/s
I need help with this will give brainly.
Remote-controlled planes may take over most hurricane-hunting missions
A. Vivid Language
B. Objective Language
Answers
There is really no words that would engine any emotion. It is really just stating what may happen.
Correct me if I am wrong
Answer:
gogo
Explanation:
Are potential and kinetic energy inversely proportional?.
Answers
Answer:
yes
Explanation:
as potential energy drops ,kinectic energy rises
The moving ions can be thought of as a current loop, and it will produce its own megnetic field. The direction of this field at the center of the particles' circular orbit is.
A. In the same direction as the spectrometer's magnetic field.
B. Opposite the direction of the spectrometer's magnetic field.
Answers
The correct answer is A. In the same direction as the spectrometer's magnetic field.
When moving ions form a circular orbit, they create their own magnetic field. This magnetic field is generated due to the current flowing through the ions as they move in a circular path. According to the right-hand rule, the direction of the magnetic field produced by a current-carrying loop is perpendicular to the plane of the loop and follows the direction of the current. In a spectrometer, a magnetic field is typically applied to bend the path of the ions in a circular orbit. The spectrometer's magnetic field is designed to create a force on the ions that causes them to move in a curved path. The direction of the magnetic field within the spectrometer is determined by the instrument's design and configuration.
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I need helpppp :((((((
Answers
Answer: c. The electric force increases
Explanation:
If the distance between two charged particles decreases, the electric force between them increases.
According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the equation can be represented as:
F = k * (q1 * q2) / r^2
Where:
F represents the electric force between the particles.
k is the electrostatic constant.
q1 and q2 are the charges of the particles.
r is the distance between the particles.
As the distance (r) between the particles decreases, the denominator of the equation (r^2) becomes smaller, causing the overall electric force (F) to increase. Conversely, if the distance between the charged particles increases, the electric force between them decreases. This inverse relationship between the distance and electric force is a fundamental characteristic of the electrostatic interaction between charged objects.
What net force would be necessary to cause a block of wood with a mass of 2.5 kg to accelerate at a rate of 3.0 m/s2
Answers
Answer:
7.5 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question
mass = 2.5 kg
acceleration = 3.0 m/s²
We have
force = 2.5 × 3.0 = 7.5
We have the final answer as
7.5 NHope this helps you
particular analyte occurs at a wavelength of 682.0 nm. What is the frequency of this wavelength of light in Hz
Answers
the frequency of the given wavelength of light, 682.0 nm, is 4.40 x 10^14 Hz.
we can use the equation c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency. We know the wavelength (682.0 nm) and the speed of light (3.00 x 10^8 m/s), so we can solve for the frequency:
c = λν
ν = c/λ
ν = (3.00 x 10^8 m/s) / (682.0 nm x 10^-9 m/nm)
ν = 4.40 x 10^14 Hz
Therefore, the frequency of the given wavelength of light is 4.40 x 10^14 Hz.
In conclusion, the frequency of a wavelength of 682.0 nm is 4.40 x 10^14 Hz.
Main Answer: The frequency of the 682.0 nm wavelength light is approximately 4.40 x 10^14 Hz.
Explanation:
To convert the wavelength (in nm) to frequency (in Hz), you can use the equation:
Frequency (v) = Speed of Light (c) / Wavelength (λ)
First, convert the wavelength from nanometers to meters:
Wavelength (λ) = 682.0 nm × (1 m / 1,000,000,000 nm) = 6.82 x 10^-7 m
Next, use the speed of light (c), which is approximately 3.00 x 10^8 m/s:
Frequency (v) = (3.00 x 10^8 m/s) / (6.82 x 10^-7 m)
Frequency (v) ≈ 4.40 x 10^14 Hz
The frequency of the given wavelength (682.0 nm) of light is approximately 4.40 x 10^14 Hz.
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A circuit has a current of 3 A. How many coulombs of charge will pass by a point in the circuit in 2 seconds?
- 6C
- 5C
- 3/2 C
- 2/3 C
One of these are the answer..
Answers
6C
Explanation:
The quantity of charge, Q, passing through an electric circuit is dependent on the electric current, I, and the time taken, t, for the current to flow. It is given mathematically as follows
Q = I x t ------------------------------(i)
Where;
I is measured in Amperes(A)
t is measured in seconds (s)
Q is measure in coulombs (C)
From the question,
I = 3A
t = 2s
Substitute these values into equation (i) as follows;
Q = 3 x 2
Q = 6C
Therefore, the number of coulombs of charge that will pass is 6C
define physical quantity
Answers
Answer:
Those quantities that can be measured are called physical quantity...hope this helps:)
A cannonball has more kinetic energy than the recoiling cannon from which it is fired because the force on the balla. acts over a longer distance.b. meets less resistance than the cannon on the ground.c. is more concentrated.
Answers
A cannonball has more kinetic energy than the recoiling cannon from which it is fired because the force on the ball acts over a longer distance.
When a cannon fires a cannonball, both the cannon and the cannonball experience an equal and opposite force (Newton's third law).
However, the cannonball has more kinetic energy because the force on it acts over a longer distance.
The cannonball travels a greater distance in the air, while the cannon's motion is restricted due to friction between it and the ground.
This results in a larger work done on the cannonball, which in turn results in more kinetic energy.
Summary: The cannonball has more kinetic energy than the recoiling cannon because the force acts over a longer distance for the cannonball, resulting in more work done and greater kinetic energy.
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.The form of heat transfer that doesn't depend on a medium isA-conduction.B- radiationC-convectionD-all of the above
Answers
The form of heat transfer that doesn't depend on a medium is (B) radiation.
Radiation is the form of heat transfer that doesn't require a medium. It involves the emission of electromagnetic waves, such as infrared radiation, from a warm object to its surroundings.
Unlike conduction and convection, which require a medium (such as a solid, liquid, or gas) to transfer heat, radiation can occur in a vacuum or through empty space. This is because electromagnetic waves can travel through the vacuum without the need for a physical medium.
Conduction involves the transfer of heat through direct contact between objects or particles within a substance, while convection involves the transfer of heat through the movement of a fluid (liquid or gas).
Both conduction and convection require a medium for heat transfer, unlike radiation, which can occur independently of a medium.
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which phrase best describes the structure of an atom
A. a solid ball of protons, neutrons, and electrons
B. A nucleus surrounded by an electron cloud
C. A nucleus by electrons in set orbits
D. A core of protons surrounded by an electron cloud
Answers
The phrase which best describes the structure of an atom from the answer choices given above is a nucleus surrounded by an electron cloud.
The correct answer choice is option b
This means that an atom consist of a centrally placed nucleus in which electrons revolves around it. The nucleus of any given atom consist of protons and neutrons. Electrons revolve round the nucleus of any atoi
What is an atom?An atom is a smallest particle of an element that takes part in chemical reaction.
Atom is divided into three basic parts:
Protons: They are positively charged subatomic particle forming part of the nucleus of an atom and determining the atomic number of an element, composed of two up quarks and a down quark.Neutrons: This is a subatomic particle forming part of the nucleus of an atom and having no charge; it is a combination of an up quark and two down quarks.Electrons: It is a subatomic particle having a negative charge and orbiting round the nucleus of any given atom of an element; the flow of electrons in a conductor constitutes electricity.So therefore, the phrase which best describes the structure of an atom from the answer choices given above is a nucleus surrounded by an electron cloud.
The correct answer choice is option b
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Make a graph of the relationship between the amplitude (x-axis) and decibel level (v-axis) of sound. Describe this relationship.
Answers
The graph of the relationship between amplitude and decibel level of sound is not a linear graph but a logarithmic graph.
It is known as the Sound Intensity Level graph, where the amplitude of the sound is plotted on the x-axis, and the decibel level of sound is plotted on the y-axis.
As the amplitude of the sound increases, the decibel level increases as well. The relationship is not directly proportional, as a small change in amplitude can result in a significant change in decibel level. For example, a sound with an amplitude of 1 Pa has a decibel level of 0 dB, whereas a sound with an amplitude of 10 Pa has a decibel level of 20 dB. This indicates that the decibel level is increasing exponentially with the increase in amplitude.
Moreover, the graph shows that the human ear has a limited range of hearing, which is between 0 dB and 140 dB. Beyond this range, sounds become too loud to hear or can cause damage to the ear. Therefore, it is important to monitor the decibel level of sound to protect our hearing.
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Heat is distributed through the atmosphere by winds
True
False
Answers
Answer:
True!
Explanation:
Hope this helps!
An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive x-direction when its x-coordinate is 2.76 cm. If its x-coordinate 2.25 s later is −5.00 cm, what is its acceleration?
Answers
Given:
The initial velocity is
\(v_i=\text{ 11 cm/s}\)The initial position is x1 = 2.76 cm
The final position is x2 = - 5 cm
The time will be t = 2.25 s
To find the acceleration.
Explanation:
The acceleration can be calculated by the formula
\(\begin{gathered} \Delta x=v_it+\frac{1}{2}at^2 \\ \frac{1}{2}at^2=\Delta x-v_it \\ a=\frac{2(\Delta x-v_it)}{t^2} \end{gathered}\)Here, the displacement is
\(\begin{gathered} \Delta x=x2-x1 \\ =-5-2.76 \\ =-7.76\text{ cm} \end{gathered}\)On substituting the values, the acceleration will be
\(\begin{gathered} a=\frac{2(-7.76-11\times2.25)}{(2.25)^2} \\ =\text{ -12.84 cm/s}^2 \end{gathered}\)Final Answer: The acceleration is -12.84 cm/s^2
What element conducts heat and electricity:
Helium
Potassium
Sulfur
Copper
Arsenic
Answers
i literally need mental help
Answers
Answer:
WDYM?
Explanation:
Answer: Get therapy (not like actually lol but like you know...)
Explanation: Listen to calming music or your favorite music, read, draw, color, literally anything that makes you calm
Out of these people who r ur favs?
WilburSoot
TommyInnit
Tubbo
Fundy
Sapnap
Dream
GeorgeNotFound
Quackity
Jschalt
Nikki
Ponk
Skeppy
BBH
Punz
aweSAMedude
HiBomb
TechnoBlade
Answers
Answer:
Is it a sin to like them all...? haha
Answer:
Schlatt, Nikki, Tubbo, and Wilbur :O
Explanation:
how is this a question lol-
How is electric correct different from static electricity? Why is a fuse an important device in an electrical circuit?
Answers
Static electricity represents charges without movement, while electric current represents charges in motion (electric flow).
The fuse is a component of electrical installations that is interrupted or melts when the current is excessive. Fuses are composed of a sheet or filament made of an alloy or metal that is characterized by a low melting point. This element is located at a strategic point in the electrical installation so that it melts if the intensity of the current exceeds a certain value. Thus, the fuse interrupts the current and safeguards the integrity of the conductors, minimizing the risk of fire or breakdown.
Explain why it is important to identify the health risks in your life
Answers
Knowing the risks you and your family may face can help you find ways to avoid health problems.
What is health risk?Health risk can be defined as the chance or likelihood that something will harm or otherwise affect your health. health risk is something that increases your chance of developing a disease.
The main health risk are :
Physical Activity and NutritionOverweight and ObesityTobaccoSubstance AbuseHIV/AIDSMental HealthInjury and ViolenceEnvironmental QualityTherefore knowing the risks and benefits of a medical treatment can help you and your doctor make informed decisions and It can also keep you from fretting over unlikely threats.
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Explain the following terms in your own words.
1. rotation
2. revolution
3. axis of rotation
4. orbit
5. leap year
Answers
Rotation refers to the spinning of a planet, moon, or other object on its own axis. The Earth completes one rotation every 24 hours, which is what causes day and night.
Revolution, on the other hand, refers to the movement of an object in orbit around another object. For example, the Earth revolves around the sun, which takes about 365.25 days to complete one revolution. The axis of rotation is an imaginary line that runs through the center of an object and around which it rotates. In the case of the Earth, its axis of rotation is tilted at an angle of 23.5 degrees, which is what causes the changing seasons. An orbit is the path that an object takes as it revolves around another object, like the Earth's orbit around the sun. Finally, a leap year is a year that has an extra day, February 29th, which is added to the calendar to keep it in sync with the Earth's revolution around the sun. This is necessary because the Earth's orbit around the sun is actually slightly longer than 365 days, so the extra day helps to correct for this discrepancy. On a clock, the hour hand will rotate every 23 and 6 hours, or 23/6 For the 23rd and 6th hours of a clock's rotation, we must determine the radians with the hour hand. Completely around the circle with the radius constitutes one revolution. The radius subtends a 2 radian angle at the circle's centre after one complete rotation. We will use the knowledge that 2 radians equal 360 degrees to demonstrate the conversion of 1 radian to degrees.
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Calculate the gravitational potential energy of a 95 kg rock at the top of a 45 m cliff. The acceleration due to gravity is 9.8 m/s.
Answers
Answer:
41895 J
Explanation:
GPE= mgh
m=95
g=9.8
h=45
95*9.8*45
The gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
What is gravitational potential energy?Gravitational potential energy is simply the potential energy an object possessse in relation to another object due to gravity.
It is expressed as;
U = mgh
Given the data in the question;
Mass m = 95kgHeight h = 45mAcceleration due to gravity g = 9.8 m/s²We substitute our values into the expression above.
U = mgh
U = 95kg × 9.8m/s² × 45m
U = 41895kgm²/s²
U = 41895J
Therefore, the gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
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katelyn throws a rock which travels 34 m above her hand before it starts to fall. what is the vertical velocity of the rock when it leaves her hand?
Answers
Answer:
25.8 m/s
Explanation:
Initial Velocity (u) =?
Final velocity before it starts to fall ; v = 0
Distance (S) = 34 meters
Using the relation :
v² = u² + 2aS
a = - 9.8 m/s²
0 = u² + 2(-9.8)(34)
0 = u² - 666.4
u² = 666.4
u = √666.4
u = 25.814724
Hence, vertical velocity when the rock leaves her hand is 25.8 m/s
What is the definition of superficial?
Answers
Answer:
Superficial: Occurring at or on the surface; shallow.
If your describing a person it means that they don't think deeply, and they have shallow understanding of anything serious or important.
I hope this helps!! :)
Since these three vehicles would all go the same speed at the bottom if released from the same height, would they all possess the same amount of kinetic energy? Mid-point between maximum height and zero
Answers
Since these three vehicles would all go the same speed at the bottom if released from the same height, they would not all possess the same amount of kinetic energy because they have different amounts of potential energy.
Kinetic energy is dependent on the velocity of the object as well as its mass. Therefore, the three vehicles, though they have the same speed, would differ in their kinetic energy due to their varying mass. This concept is known as mechanical energy and is the sum of kinetic and potential energy.
Mechanical energy is also constant in an ideal situation where no external forces are acting upon the object. For instance, the three vehicles will all have the same mechanical energy at the release point but would not possess the same amount of kinetic energy due to their mass difference. Therefore, they would have different amounts of potential energy when released.
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Which of the following imposes the limit on the number of electrons in an energy state of an atom?
1. The Bohr model of the hydrogen atom.
2. The law of conservation of energy.
3. The Pauli exclusion principle.
4. The theory of relativity.
5. The Heisenberg uncertainty principle.
Answers
The Pauli exclusion principle imposes the limit on the number of electrons in an energy state of an atom. The correct option is (3).
The Pauli exclusion principle, formulated by Wolfgang Pauli in 1925, states that no two electrons in an atom can have the same set of four quantum numbers.
The four quantum numbers are the principal quantum number (n), the azimuthal quantum number (l), the magnetic quantum number (m), and the spin quantum number (s).
According to this principle, in any given energy state of an atom, no more than two electrons can occupy the same set of quantum numbers, and they must have opposite spins.
This principle plays a significant role in determining the electronic structure of atoms and the periodic table of elements.
It helps to explain the chemical and physical properties of elements and their behavior in chemical reactions.
Without the Pauli exclusion principle, atoms would not be stable and the world as we know it would not exist.
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