A sphere falls through a fluid. Earth exerts a constant downward 0. 50- N
force on the sphere. The fluid exerts an opposing drag force on the fluid given by FD
= 2 v
, where FD
is in newtons if v
is in meters per second
Answers
The terminal speed of the sphere is 0.25 meters per second.
The terminal speed of the sphere is determined by the forces acting on the sphere. Newton's Second Law states that the total force is equal to the mass of the sphere multiplied by its acceleration: F = ma. In this case, we have two forces acting on the sphere, the downward force (Fdown) exerted by the Earth and the drag force (FD) exerted by the fluid. The equation for this situation can be written as:
Fdown – FD = ma
0.50N – 2v = m(dv/dt)
2v = 0.50N + m(dv/dt)
The terminal speed of the sphere is the speed when the acceleration is zero, so dv/dt = 0. This equation can be rearranged to find the terminal speed of the sphere:
vt = 0.50N/2m
The terminal speed of the sphere occurs when the forces acting on it are balanced, that is, when the downward force of gravity is equal to the upward force of drag. This means that:
0.50 N = 2v
Solving for v, we get:
v = 0.50 N / 2
v = 0.25 m/s
Therefore, the terminal speed of the sphere is 0.25 meters per second. This is the speed at which the sphere will continue to fall through the fluid without accelerating.
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Related Questions
What is the net force and direction the box will move in ?
Answers
Answer:
5 Newton to right direction
Explanation:
5N to the right will be vanishes with 5N to the left..... then the another 5N to right will be the force that move the box
Once an answer is submitted, you will be unable to return to this part. A 150-kg crate D is suspended from a ring at Aby a length of rope. The crate is held in certain location by two blocks, B and C, which are attached to the ring at Aby rope segments wrapped around frictionless pulleys. You want to position the crate such that the angle that rope AC makes in a counterclockwise direction from the positive x-axis is 30° as shown. The mass of block B is 135 kg. The mass of block C is adjustable. You decide to calculate what the mass of block C needs to be in order to keep crate D in the desired position. You also want to calculate , which represents the angle that rope AB makes in a clockwise direction from the negative x-axis when crate D is in the desired position. X 00:36:18 180° Choose which value represents the mass of block C that would keep crate D In equilibrium. Choose which value represents the mass of block C that would keep crate D In equilibrium. Multiple Choice 280 kg 20 kg 784.8 kg 196.2 kg 111.74 kg
Answers
The value that represents the mass of block C that would keep crate D in equilibrium is 196.2 kg (Option D).
To determine of value that represents the mass of block C that would keep crate D in equilibrium, ee can begin by determining the tension in the ropes. Since the crate is held in a certain location by two blocks, the tension in the ropes should be equal. We can use this fact to calculate the tension in the ropes by assuming that they have the same magnitude.
In this case, let T be the tension in each rope segment. The forces acting on the system can be represented in the following free-body diagram:
For the x-direction: T sin 30° = T sin 60° + µg = 0
where µ is the coefficient of friction and g is the acceleration due to gravity. Since the pulleys are frictionless, µ = 0. Therefore, we can simplify the equation as follows:
T sin 30° = T sin 60°
Dividing both sides by T:
sin 30° = sin 60°/2
This gives us: T = (2/√3) mg where m is the total mass of the system and g is the acceleration due to gravity.
Substituting the given values, we obtain:
T = (2/√3) × 150 × 9.81 ≈ 1962 N
Next, we can use the law of the lever to calculate the mass of block C required to keep the crate in equilibrium. According to this law, the sum of the moments acting on the system must be zero. We can choose the point where the ring is attached to the rope as the pivot. This gives us the following equation:
(135 kg)(9.81 m/s²)(3 m) + (mC)(9.81 m/s²)(6 m) - (150 kg)(9.81 m/s²)(4.5 m) - (1962 N)(3 m) = 0
Simplifying: (135)(3) + (6mC) - (150)(4.5) - (1962)(3) = 0
Rearranging: 6mC = 150(4.5) + 1962 - 135(3)
6mC = 2127
mC ≈ 196.2 kg
Therefore, the value that represents the mass of block C required to keep crate D in equilibrium is approximately 196.2 kg. Thus, the correct option is D.
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When x-ray radiation and infrared radiation are traveling in a vacuum, they have the same.
Answers
When X-ray radiation and infrared radiation are traveling in a vacuum, they have the same speed.
In a vacuum, all electromagnetic waves, including X-ray radiation and infrared radiation, travel at the same speed of light, which is approximately 299,792,458 meters per second (m/s). This is a fundamental property of electromagnetic waves that is independent of their wavelength or frequency.
In vacuum, the speed of light is the same for all electromagnetic waves. This means that X-rays and infrared radiation have the same speed while they are traveling in a vacuum. This is due to the fact that both X-rays and infrared radiation are forms of electromagnetic radiation, and they both travel at the speed of light.
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1.1 Which of the following is a non-metal ?
A Zn
B Fe
C Ne
D Na
Answers
A + 9.4 nC point charge and a - 2.31 nC point charge are 4.94 cm apart. What is the electric field strength at the midpoint between the two charges?
Answers
Given:
The charge is q1 = 9.4 nC
The charge q2 = -2.31 nC
The distance between them is r = 4.94 cm
To find the electric field strength at the midpoint between two charges.
Explanation:
The electric field strength at the midpoint will be the sum of electric field strength due to q1 and q2.
The electric field strength can be calculated by the formula
\(E=\frac{kq}{r^2}\)Here, k is the electrostatic constant whose value is
\(k=9\times10^9\text{ N m}^2\text{ /C}^2\)The electric field strength due to the charge q1 is
\(\begin{gathered} E_1=\frac{kq1}{(\frac{r}{2})^2} \\ =\frac{9\times10^9\times9.4\times10^{-9}}{(\frac{4.94}{2}\times10^{-2})^2} \\ =1.39\times10^5\text{ V/m} \end{gathered}\)The electric field strength due to the charge q2 is
\(\begin{gathered} E_2=\frac{kq2}{(\frac{r}{2})^2} \\ =\frac{9\times10^9\times2.31\times10^{-9}}{(\frac{4.94}{2}\times10^{-2})^2} \\ =3.4\times10^4\text{ V/m} \end{gathered}\)The electric field strength at the midpoint will be
\(\begin{gathered} E=E_1+E_2 \\ =(1.39\times10^5)+(3.4\times10^4) \\ =173000\text{ V/m} \end{gathered}\)Thus, the electric field strength at the midpoint between the two charges is 173000 V/m
a block of volume 0.4 m3 floats with 0.52 of its volume submerged in a liquid of density 1300 kg/m3 , as shown.find the magnitude of the buoyant force on the block. the acceleration of gravity is 9.8 m/s 2 . answer in units of n.
Answers
The buoyant force on an object is equal to the weight of the fluid displaced by the object. Using this principle and given values, the magnitude of the buoyant force on the block is 2136.8 N.
According to Archimedes' principle, the buoyant force on an object is equal to the weight of the fluid displaced by the object. This means that the upward force exerted by the fluid on the object is equal to the weight of the fluid that would occupy the same volume as the object if it were not present. Therefore, we need to find the weight of the fluid that is displaced by the block.
Given that the block floats with 0.52 of its volume submerged in the liquid of density 1300 kg/m3, we can find the volume of the fluid displaced by the block as follows:
The volume of fluid displaced = 0.52 × Volume of block
= 0.52 × 0.4 m3
= 0.208 m3
The weight of the fluid displaced by the block can be found using the density and volume of the fluid as follows:
Weight of fluid displaced = Density of fluid × Volume of fluid displaced × Acceleration due to gravity
= 1300 kg/m3 × 0.208 m3 × 9.8 m/s2
= 2136.8 N
Therefore, the magnitude of the buoyant force on the block is 2136.8 N.
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when a wave travels through a medium, the wave transfers
1. mass, only
2. energy, only
3. both mass and energy
4. neither mass nor energy
Answers
Answer: 2
Explanation: waves transfer energy without transferring mass
When a wave travels through a medium, the wave transfers: 2. energy, only.
What is a wave?A wave can be defined as a disturbance in a medium that progressively transfers (transports) energy from a source to another location, especially without the transportation of mass (matter).
Generally, the energy of a wave is directly proportional to the square of wave amplitude and the square of its frequency. Thus, a wave transfers only energy without mass when it travels through a medium.
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An 80.0 N force accelerates a 6.0 kg object from 4.0 m/s to 8.0 m/s. What is the
impulse?
0 24 N"s
0 3.33 Nºs
30 N's
0 -30 N's
0-24 N's
Answers
Answer:
24kgm/s
Explanation:
Given parameters:
Force = 80N
Mass of object = 6kg
Initial velocity = 4m/s
Final velocity = 8m/s
Solution:
Impulse = ?
Solution:
The impulse on a body is its change in momentum.
Impulse = m (v - u )
m is the mass
v is the final velocity
u is the initial velocity
Now insert the parameters and solve;
Impulse = 6 (8 - 4) = 24kgm/s
When soda bottles are sealed in a factory, the bottles are all the same temperature with the same pressure of gas inside. A student decides to perform an experiment to determine what changes will result from adjusting the temperatures of two sealed soda bottles. One bottle of soda is heated, while the other is cooled.
Which statement describes a result of the experiment?
Answers
Answer: changes will result from adjusting the temperatures of two sealed soda
Explanation:
the preasure builds up and makes the bottle expand so it might crack but the other one will become ice then will crack the sides
Answer:
changes
Explanation:
What is the converse of the statement "No pilots are mechanics"?
a. No mechanics are pilots.
b. Some mechanics are pilots.
c. All pilots are mechanics.
d. None of these
Answers
The converse of the statement "No pilots are mechanics" is No mechanics are pilots.
Hence, the correct option is A.
The converse of a statement switches the subject and the predicate and negates both. In the original statement, the subject is "pilots" and the predicate is "mechanics."
The original statement states that there is no overlap between pilots and mechanics. In the converse statement, the subject becomes "mechanics" and the predicate becomes "pilots," and it still states that there is no overlap between the two groups.
Therefore, The converse of the statement "No pilots are mechanics" is No mechanics are pilots.
Hence, the correct option is A.
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can anyone help me with this
Answers
Answer:
earth is 4.54 billion years old
for an organism to survive they would have to change ( mutate )
A mutation is any permenant change in dna of a gene or chromosome
some mutations are bad and some can be good
Explanation:
(E) V = kQ/r so the smaller sphere is at the lower potential (more negative = lower) Negative charge
flows from low to high potential so the charge will flow from the smaller sphere to the larger.
The flow of charge ceases when there is no difference in potential.
Two conducting spheres of different radii, as shown above, each have charge -Q. Which of the following
occurs when the two spheres are connected with a conducting wire?
(A) No charge flows.
(B) Negative charge flows from the larger sphere to the smaller sphere until the electric field at the surface of
each sphere is the same.
(C) Negative charge flows from the larger sphere to the smaller sphere until the electric potential of each
sphere is the same.
(D) Negative charge flows from the smaller sphere to the larger sphere until the electric field at the surface of
each sphere is the same.
(E) Negative charge flows from the smaller sphere to the larger sphere until the electric potential of each
sphere is the same.
Answers
The correct statement is " Negative charge flows from the smaller sphere to the larger sphere until the electric potential of each sphere is the same." The correct Option (E).
When the two spheres are connected with a conducting wire, the negative charge will flow from the smaller sphere to the larger sphere until the electric potential of each sphere is the same. This is because the electric potential at a point in space is proportional to the amount of charge present at that point and inversely proportional to the distance from the point to the center of the charged sphere.
Option (A) is not true because charge will flow due to the difference in potential between the two spheres.
Option (B) is not true because the electric field at the surface of each sphere will not necessarily be the same after charge flows.
Option (C) is not true because the electric potential at a point in space is the same for all charged conductors connected by a wire.
Option (D) is not true because the negative charge will flow from the smaller sphere to the larger sphere, not the other way around.
Therefore, The correct answer is option E.
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Two conducting spheres of different radii with each negative charge connected with a conducting wire, Negative charges flow from the smaller sphere to the larger sphere until the potential becomes the same. Thus, option E is correct.
The potential V = kQ / r, Potential and charge are directly proportional to each other, more potential gives more negative charge. More negative charge gives lower potential. The potential always flows from a lower to a higher potential. Thus the negative charge flows from the smaller sphere to the larger sphere to equal the potential.
Thus, the correct option is E.
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1. If you use an applied force of 45N to slide a 12Kg wooden crate across a floor at a constant velocity, what is the coefficient of kinetic friction between the crate and the floor?
Answers
Answer:
Coefficient of kinetic friction = 0.38 (Approx.)
Explanation:
Given:
Applied force = 45 N
Mass of wooden crate = 12 kg
Find:
Coefficient of kinetic friction
Computation:
Coefficient of kinetic friction = Applied force / (Mass)(Acceleration due to gravity)
Coefficient of kinetic friction = 45 / (12)(9.8)
Coefficient of kinetic friction = 45 / 117.6
Coefficient of kinetic friction = 0.3826
Coefficient of kinetic friction = 0.38 (Approx.)
a certain substance strongly absorbs infrared light having a wavelengh of 6.50 what is the frequency in hertz of this liggt socratic.org
Answers
The frequency of the infrared light is 4.6 × 10¹² Hz. The result is obtained by using the formula for frequency.
What is the formula for the frequency of a light?The formula for the frequency of a light is
f = c/λ
Where
f = frequency (Hz)c = speed of light (3 × 10⁸ m/s)λ wavelength (m)Infrared light is the band of the electromagnetic radiation spectrum with the wavelength between 780 nm to 1.300 nm.
When it is converted to mm, it would be
0.70 mm - 1.3 mm
An infrared light has a wavelength of 6.5 × 10⁻⁵ m. (The most possible unit).
The frequency would be
f = c/λ
f = (3 × 10⁸)/(6.5 × 10⁻⁵)
f = (3 × 10⁸)/(6.5 × 10⁻⁵)
f = 0.46 × 10¹³ Hz
f = 4.6 × 10¹² Hz
Hence, the frequency of the infrared light is 4.6 × 10¹² Hz.
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under non-adiabatic condition using a 2.5-inch schedule 40 steel pipe having thermal conductivity, k = 43 W/m.°C. The temperature of the chemical product at the outlet of the reactor is 120°C and the length of the pipe connecting between the reactor and the storage tank is 3 meters. The convective coefficient of the chemical product flowing inside the internal surface of the pipe is estimated as h = 4000 W/m² °C. The entire pipe is exposed to a free convection surrounding condition with h = 6.5 W/m² °C and temperature of 30°C. As a process engineer, you have noticed that there was a huge temperature drop between the adiabatic reactor and the storage tank due to the heat loss during the transfer process. You have been assigned to insulate the outer surface of the steel pipe. iv) If the entire insulated pipe as calculated above is exposed to a forced convection surrounding condition with h = 30 W/m².°C and temperature of 30 °C, estimate the total heat loss under this condition. Compare and evaluate the heat loss under the free and forced convection conditions. In your opinion, which type of convection do you prefer for this problem? Provide your reasons.
Answers
The total heat loss under the given condition is 599.21 W. The heat loss is higher under free convection surrounding conditions as compared to forced convection surrounding conditions. Forced convection should be preferred for this problem as it helps to minimize heat loss.
Given: Length of the pipe, L = 3 m
Thermal conductivity, k = 43 W/m°C
Convective coefficient, h1 = 4000 W/m²°C
Convective coefficient of free convection, h2 = 6.5 W/m²°C
Convective coefficient of forced convection, h3 = 30 W/m²°C
The outlet temperature of a chemical product, T1 = 120°C
External temperature, T2 = 30°C
Under steady-state conditions, the rate of heat loss through the insulated pipe under free convection can be expressed as:
Q = (T1 - T2)/{[1/(h1 . D)] + [(ln(ro/ri))/(2π k L)] + [1/(h2 . D)]}
Here, D is the diameter of the pipe, ro, and ri are the outer and inner radius of the pipe, respectively.
The outer radius of the insulated pipe is given as:
ro = ri + 2 × insulation thickness
= 1.25 + 2 × 0.05= 1.35 mri
= 1.25 m
D = 2.5/1000 = 0.0025 m
Substitute the given values to find the heat loss:
Q1 = (120 - 30)/{[1/(4000 × 0.0025)] + [(ln(1.35/1.25))/(2π × 43 × 3)] + [1/(6.5 × 0.0025)]}
= 1.1204 WK
Under forced convection, the rate of heat loss through the insulated pipe can be expressed as:
Q = (T1 - T2)/{[1/(h1 . D)] + [(ln(ro/ri))/(2π k L)] + [1/(h3 . D)]}
Substitute the given values to find the heat loss:
Q2 = (120 - 30)/{[1/(4000 × 0.0025)] + [(ln(1.35/1.25))/(2π × 43 × 3)] + [1/(30 × 0.0025)]}= 0.5212 WK
So, the total heat loss under forced convection is lower than the free convection, and hence, it should be preferred.
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a student says " a running squirrel has a speed of 7 m/s , what is wrong with this statement .
help
Answers
The statement is incorrect as the Speed of anything cannot be negative.
The speed of a body is a scalar quantity and the speed of anybody may be defined as the distance covered by the body per unit of time. the speed of anybody is represented in the form of Distance and time as:
Speed = Distance/time
As both Distance and time are quantities that can never have a negative value therefore the speed of a body also can never have a negative value. In this statement a student refers to a bird and says that its speed is - 7m/s which indicates that the speed is negative that is why this statement is wrong as speed can never have a negative value. The speed of a body is always positive or zero.
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Select the arrangement of electromagnetic radiation which starts with the lowest wavelength and increases greatest wavelength. Multiple Choice radio, ultraviolet, infrared, gamma rays gamma rays, ultraviolet, infrared, radio radio, infrared, ultraviolet, gamma rays gamma rays, infrared, radio, ultraviolet gamma rays, radio, ultraviolet, infrared
Answers
Answer:
gamma rays, ultraviolet, infrared, radio
Explanation:
Because on the Electromagnetic spectrum wavelength increases from the gamma end to radio end and frequency decrease in that order
Answer:
radio → infrared → ultraviolet → gamma
Explanation: yeaaahhh its c
please help! easy science! second pic is the question and possible answers (A B C or D) its one question! brainliest promised!
Answers
Answer:
Please do not take my word for this at all, but this is what I found, "When the pendulum swings back down, the potential energy is converted back into kinetic energy. At all times, the sum of potential and kinetic energy is constant." So I think the answer is B also you are anime fan too lol :DD I love hinata
Explanation:
Weighing a Bacterium Scientists are using tiny, nanoscale cantilevers 4 micrometers long and 500 nanometers wide-essentially miniature diving boards-as a sensitive way to measure mass. The cantilevers oscillate up and down with a frequency that depends on the mass placed near the tip, and a laser beam is used to measure the frequency. A single E. coli bacterium was measured to have a mass of 710 femtograms = 7.10×10−16 kg with this device, as the cantilever oscillated with a frequency of 17.1 MHz .Required:Treating the cantilever as an ideal, massless spring, find its effective force constant.
Answers
The effective force constant while Treating the cantilever as an ideal, massless spring is 8.19 N
What is the effective force constant?The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring exerts a force F = -kx in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length.
This question requires us to find the effective force constant.
The frequency f is given as
\(f=\frac{1}{2\pi } (\sqrt{\frac{k}{m}) }\)
from the equation that we have above, we have
\(k = 4\pi ^2*f^2*m\)
we have the values as
f = 17.1 MHz
m = 7.10×10−16 kg
put these values in the equation
\(k = 4 * 3.14^2 * (17.1*10^6)^2*(7.10*10^-^1^6)\)
k = 8.19N/m
The effective force constant has been calculated as 8.19N/m
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Weighing a Bacterium Scientists are using tiny, nanoscale cantilevers 4 micrometers long and 500 nanometers wide-essentially miniature diving boards-as a sensitive way to measure mass. The cantilevers oscillate up and down with a frequency that depends on the mass placed near the tip, and a laser beam is used to measure the frequency. A single E. coli bacterium was measured to have a mass of 710 femtograms = 7.10×10−16 kg with this device, as the cantilever oscillated with a frequency of 17.1 MHz .
Treating the cantilever as an ideal, massless spring, find its effective force constant.
What type of energy is most important to life on Earth? Rank the following forms of energy from most important to least important. Justify your answer. Electrical energy
Light energy
Sound energy
Thermal energy
Answers
Out of the given options light energy is the most important form of energy to life on Earth.
Photosynthesis, process through which plants, algae, and certain bacteria transform light energy into chemical energy in the form of organic molecules like glucose, is primarily powered by light energy. These organic substances are sustenance for both creatures that carry out photosynthesis and the species that eat them. As it is involved in several biochemical events in living things, including enzyme-catalyzed reactions, thermal energy is also crucial to life on Earth.
Thermal energy may be obtained from a multitude of sources, including the environment and the oxidation of organic substances, therefore it is not as crucial as light energy. Light and thermal energy are more crucial to life on Earth than electrical and sound energy. The nervous system and other physiological functions require electrical energy, but are not as crucial as light and heat energy.
Similar to how light and heat energy is more crucial for maintaining life than sound energy, certain creatures can utilise it for communication and navigation. Therefore, the ranking of the forms of energy will be Light energy, thermal energy, electrical energy, and sound energy.
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What is the minimum diameter of a steel wire if it is to support a mass of 80 kg?
Answers
The minimum diameter of a steel wire if it is to support a mass of 80 kg is 1.41 * 10⁻³ m.
What will be the minimum diameter of a steel wire if it is to support a mass of 80 kg?The minimum diameter, d of the steel wire can be calculated thus:
Stress, α = Force/areaα = 5.0 × 10⁸ Pa.
mass, m = 80 kg
Force = 80 * 98 = 784 N
Area = force/α
area = 784/5.0 × 10⁸
area = 1.57 * 10⁻⁶
Area = πd²/4
d = √(4 * area/π)
d = √(4 * 1.57 * 10⁻⁶ * 7/22)
diameter = 1.41 * 10⁻³ m
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Note that the complete question is given below:
What is the minimum diameter of a steel wire if it is to support a mass of 80 kg? The elastic limit of steel is 5.0 × 10⁸ Pa.
Your twin sister (who has the same weight as you) and you decided to go up to a very tall building. You take the elevator straight up. Your twin sister decide to walk up the spiral stairway. Compare the gravitational potential energy of you and your sister, after you both reach the top. assuming that you and your friend have equal masses.
Answers
Both of you have the same amount of potential energy since your masses are the same.
Define potential energy?In physics, potential energy is the power that a substance retains as a result of its position in respect to other things, internal pressures, electric charge, or other substances. Potential energy is a type of stored energy that depends on the interactions of various system elements.
The potential energy of a spring rises when it is crushed or stretched. The potential energy of a steel ball increases if it is raised above the ground as opposed to falling to it. Potential energy is the name for the energy that exists in everything that is raised from rest and can be released at a later time.
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23. The wavelength of a photon decreases. As a result, the photon has A. A larger momentum and a larger energy B. A smaller momentum and a smaller energy C. A smaller momentum and a larger energy D. A larger momentum and a smaller energy
Answers
The wavelength of a photon decreases. As a result, the photon has the. A larger momentum and a larger energy. correct answer is A
The wavelength of a photon is inversely proportional to its momentum, which means that as the wavelength of a photon decreases, its momentum increases. This is because the energy of a photon is proportional to its frequency, and since the speed of light is constant, the frequency of a photon is inversely proportional to its wavelength. Therefore, a photon with a shorter wavelength has a higher frequency and higher energy.
According to the de Broglie relation, the momentum of a photon is given by:
p = h/λ
where h is Planck's constant and λ is the wavelength of the photon. As the wavelength of the photon decreases, its momentum increases.
Therefore, the correct answer is: A. A larger momentum and a larger energy.
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A stomp rocket takes 2.8 seconds to reach its maximum height (g = -9.8 m/s?).Part A:What was the total time in the air?Part B:What was the final landing velocity?
Answers
A projectile is fired straight upward from Earth's surface with a speed that is half the escape speed: If R is the radius of Earth; the highest altitude reached, measured from the surface, is: A) RI4 B) R/3 C) Ri2 D) R E) 2R
Answers
The highest altitude reached, measured from the surface, is R i^2 which is option (c ) .
A projectile is a body that is hurled or thrown with some velocity into the air and then falls to the ground under the force of gravity. The most common examples of projectiles are a ball that is thrown from a height, a bullet that is fired from a gun, a cannonball that is launched from a cannon, or a stone that is thrown up into the air.
Each of these objects moves through the air and experiences the effects of gravity.
The highest altitude that a projectile reaches can be computed using the following formula;
h = (v₀² / 2g), Where h is the maximum height of the projectile, v₀ is the initial velocity of the projectile, and g is the acceleration due to gravity. When the projectile reaches its highest altitude, its final velocity is zero because it has stopped moving upwards.
Therefore, using the formula; v² = v₀² + 2gh, Since the projectile is fired straight upward, its final velocity will be zero.
Hence, using the formula for escape velocity, we have;
ve = √(2GM/R), where G is the gravitational constant, M is the mass of the earth, and R is the radius of the earth.
Half the escape velocity would be; v₀ = ve/2. Substituting this value in the formula for the maximum height gives;
h = (v₀² / 2g) = ((ve / 2)² / 2g) = (Ri² / 2) = Ri².
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A circus stilt walker stands balanced on one stilt he is in - unstable equilibrium - stable equilibrium
- neutral equilibrium - universal equilibrium
Answers
The circus stilt walker is in unstable equilibrium as he balances on one stilt.
This means that any slight disturbance or change in the system could cause him to lose his balance and fall. However, the stilt walker is trained to maintain his position and prevent any such disturbance. Stable equilibrium, on the other hand, refers to a system that returns to its original position after a disturbance. Neutral equilibrium is when a system is indifferent to any disturbance and does not move.
Universal equilibrium refers to the state of balance in the entire universe, where all forces are balanced and there is no net movement or change. In the case of the stilt walker, he is in a state of unstable equilibrium but is skilled enough to maintain his balance and prevent any disturbance.
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If Ωmass + ΩΛ = 1 today and dark energy were a cosmological constant, the universe would:
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If Ωmass + ΩΛ = 1 today and dark energy were a cosmological constant, the universe would be flat and experiencing an accelerated expansion.
This means that the combined mass and dark energy density would exactly balance the critical density needed for a flat universe, and the expansion would be accelerating due to the repulsive nature of dark energy. The parameter Ωmass represents the fraction of the critical density of the universe contributed by matter (both visible and dark matter), while ΩΛ represents the fraction contributed by dark energy (assuming it behaves like a cosmological constant). The condition Ωmass + ΩΛ = 1 ensures that the total density of the universe matches the critical density required for a flat geometry. In this scenario, dark energy acts as a repulsive force, counteracting the gravitational pull of matter and causing the expansion of the universe to accelerate. The flatness of the universe is a consequence of the balance between matter and dark energy densities.
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Which of the following option are related with the second law of thermodynamics (law of entropy)? a) the heat lost by one object must be gained by anothe robject b) heat flow naturally from the hotter body to a cooler body c) celcius degrees and Kelvin degrees is an equivalent
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Celsius degrees and Kelvin degrees are related, but they are not equivalent. Celsius is based on the freezing and boiling points of water, whereas Kelvin is based on absolute zero, the point at which all particles stop moving. The correct answer is options (a) and (b).
The following options are related to the second law of thermodynamics (law of entropy):Option b) Heat flows naturally from the hotter body to a cooler body.Option a) The heat lost by one object must be gained by another object.The law of entropy or the second law of thermodynamics is an important principle in the field of thermodynamics. The law of entropy dictates that the total entropy of an isolated system can never decrease over time and that it will always increase to the maximum level possible.
Heat is a form of energy, and it flows from one body to another to maintain thermal equilibrium. The process of heat transfer occurs when a warmer body loses heat to a cooler body. The second law of thermodynamics states that heat naturally flows from a hotter body to a colder body until both bodies reach thermal equilibrium.Celsius and Kelvin are two different temperature scales used to measure temperature.
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A lens produces a real imag eof a real object.
If lens 1 from part d were placed in exactly the same location as lens 2, would the image produced by lens 1 be larger or smaller than the image produced by lens 2?
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If lens 1 from part d were placed in exactly the same location as lens 2, the image produced by lens 1 would be larger than the image produced by lens 2.
The reason is that the magnification produced by a lens depends on the ratio of the image distance to the object distance.
The larger the ratio, the larger the magnification.
Therefore, if lens 1 were placed in the same location as lens 2, it would produce a larger image because lens 1 has a shorter focal length and will bring the image closer to the lens than lens 2.
This will result in a larger image than that produced by lens 2.
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David drove the first 6 hours of his journey at 65 km / hour and the last 3 hours of his journey at 80 km / hour . How far is the whole journey in km ?
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Answer:
630 km.
Explanation:
To obtain the total distance travelled by David, we shall calculate the distance travelled in each, then sum them together.
Case 1:
Speed 1 (S₁) = 65 km / hour
Time 1 (t₁) = 6 hours
Distance 1 (d₁) =?
Speed = Distance /time
S₁ = d₁ / t₁
65 = d₁ / 6
Cross multiply
d₁ = 65 × 6
d₁ = 390 Km
Case 2:
Speed 2 (S₂) = 80 km / hour
Time 2 (t₂ ) = 3 hours
Distance 2 (d₂) =?
Speed = Distance /time
S₂ = d₂ / t₂
80 = d₂ / 3
Cross multiply
d₂ = 80 × 3
d₂ = 240 Km
Finally, we obtained the total distance travelled by David as follow
Distance 1 (d₁) = 390 Km
Distance 2 (d₂) = 240 Km
Total Distance travelled (dₜ) =?
Total distance = distance 1 + distance 2
dₜ = d₁ + d₂
dₜ = 390 + 240
dₜ = 630 km
Therefore, the total distance travelled by David is 630 km