The period of pendulum is still the same at 1.4 seconds.
We need to know about pendulum experiment to solve this problem. The pendulum is a simple experiment to calculate gravitational acceleration. The gravitational acceleration can be calculated by
g = 4π² . L / T²
where g is gravitational acceleration, L is the length of the string and T is the period.
From the question above, we know that:
L = 0.5 meters
m1 = 1 kg
θ = 12⁰
m2 = 2 . m1
T1 = 1.4 seconds
Find the period of pendulum
g = 4π² . L / T²
T² = 4π² . L / g
T = √(4π² . L / g)
The period of a pendulum does not depend on the mass of the object, hence the period is still the same at 1.4 seconds.
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Hi!! Does anyone know this answer? :D
Answer:
Im not fully corrrect but I would say C
Explanation:
Which law best describes contact force
A.
second law
B.
third law
C.
law of gravity
D.
first law
Answer:
b is the answer the third law
Explanation:
B because Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration a of its centre of mass, F = ma, is the basic equation of motion in classical mechanics.
what visual clues on a system can indicate the presence of a refrigerant leak
Visual clues that can indicate the presence of a refrigerant leak include frost or ice buildup, oil stains or residue, and unusual bubbles or discoloration on refrigerant lines or components.
When there is a refrigerant leak in a system, there are several visual indicators that can help identify its presence. One clue is the presence of frost or ice buildup on refrigerant lines or components. When refrigerant escapes, it evaporates and cools the surrounding area, leading to condensation and the formation of frost or ice.
Another visual clue is the presence of oil stains or residue. Refrigerant often carries lubricating oil, and a leak can cause the oil to escape along with the refrigerant. This can result in oil stains or residue around the leak point or on nearby components.
Additionally, unusual bubbles or discoloration on refrigerant lines or components can be indicative of a refrigerant leak. When refrigerant escapes, it can create bubbles or cause discoloration due to chemical reactions or contaminants.
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Organ pipe A, with both ends open, has a fundamental frequency of 425 Hz. The thirdharmonic of organ pipe B, with one end open, has the same frequency as the secondharmonic of pipe A. How long are (a) pipe A and (b) pipe B? Take the speed of soundin air to be 343 m/s
The length of pipe B is approximately 0.303 meters. A pipe, in the context of this question, refers to a cylindrical tube or conduit that is commonly used in musical instruments such as organ pipes or wind instruments.
To solve this problem, we can use the formula for the fundamental frequency of an organ pipe and the relationship between harmonics.
The formula for the fundamental frequency of an organ pipe with both ends open is given by:
f = (v / 2L)
Where:
f is the fundamental frequency,
v is the speed of sound in air, and
L is the length of the pipe.
Given that the fundamental frequency of organ pipe A is 425 Hz, we can rearrange the formula to solve for the length:
L = v / (2f)
Substituting the given values:
L = 343 m/s / (2 * 425 Hz)
L ≈ 0.403 meters
Therefore, the length of pipe A is approximately 0.403 meters.
Now let's move on to pipe B. We know that the third harmonic of pipe B has the same frequency as the second harmonic of pipe A. The relationship between harmonics is given by:
fₙ = nf₁
Where:
fₙ is the frequency of the nth harmonic,
f₁ is the fundamental frequency,
and n is the harmonic number.
In this case, we have:
2f₁ = 3fₙ
Substituting the given values:
2 * 425 Hz = 3fₙ
fₙ = (2 * 425 Hz) / 3
fₙ ≈ 283.33 Hz
Now, we can use the formula for the fundamental frequency of a pipe with one end open to find the length of pipe B:
f = (v / 4L)
L = v / (4fₙ)
Substituting the given values:
L = 343 m/s / (4 * 283.33 Hz)
L ≈ 0.303 meters
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the outer surface of a spacecraft in space has an emissivity of 0.7 and an absorptivity of 0.3 for solar radiation. if solar radiation is incident on the spacecraft at a rate of 1500 w/m2, determine the surface temperature of the spacecraft when the radiation emitted equals the solar energy absorbed.
The surface temperature of the spacecraft when the radiation emitted equals the solar energy absorbed is approximately 279.4 K (6.3 °C or 43.3 °F).
We can solve this problem using the Stefan-Boltzmann law, which relates the energy radiated by a blackbody to its temperature. Since the spacecraft is not a perfect blackbody, we need to account for its emissivity and absorptivity.
The energy radiated by the spacecraft per unit area is given by:
Radiation = emissivity x sigma x T⁴
where sigma is the Stefan-Boltzmann constant (5.67 x 10⁻⁸ W/m²K⁴), T is the temperature of the spacecraft in Kelvin, and emissivity is the fraction of radiation emitted by the spacecraft relative to a blackbody.
The energy absorbed by the spacecraft per unit area is given by:
energy absorbed = absorptivity x solar radiation intensity
where absorptivity is the fraction of incident solar radiation absorbed by the spacecraft.
We are given that the energy radiated by the spacecraft equals the energy absorbed, so we can set Energy radiated equal to energy absorbed and solve for T:
emissivity x sigma x T⁴ = absorptivity x solar radiation intensity
T⁴ = (absorptivity / emissivity) x (solar radiation intensity / sigma)
T = \((absorptivity / emissivity)^{1/4}\) x \((solar radiation intensity / sigma)^{1/4}\)
Plugging in the given values, we get:
T = \((0.3 / 0.7)^{1/4} X (1500 W/m^2 / 5.67 x 10^-8 W/m^2K^4)^{1/4}\)
T = 279.4 K
Therefore, the surface temperature of the spacecraft when the radiation emitted equals the solar energy absorbed is approximately 279.4 K (6.3 °C or 43.3 °F).
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Suppose a spectral line of hydrogen, normally at 500 nm when measured in a lab on Earth, is observed in the spectrum of a star to be at 500.3 nm. This is called a red shift because the wavelength is longer (and red is on the long-wavelength side of the visible spectrum). How fast is the star moving away from Earth? Give your answer in m/s. Hint: follow example 5.6. Compare in particular to the "Check your learning" calculation, and note that larger Δλ means larger speed.
The star is moving away from Earth at a velocity of 1.8 x 106 m/s.
The Doppler Effect describes the shift in wavelength of a wave when the source is moving in relation to the observer. The shift can be observed in sound waves, light waves, and other waves.
The Doppler Effect can be used to determine the velocity of objects moving away from an observer, as in the case of stars moving away from Earth.
The velocity of a star moving away from Earth can be determined using the equation:
v = Δλ/λ x c, Where v is the velocity of the star, Δλ is the shift in wavelength of the spectral line, λ is the wavelength of the spectral line measured in the lab on Earth, and c is the speed of light (3.00 x 108 m/s).
In this case, the shift in wavelength of the spectral line is Δλ = 500.3 nm - 500 nm = 0.3 nm.
The wavelength of the spectral line measured in the lab on Earth is λ = 500 nm.
Plugging in these values to the equation above: v = Δλ/λ x cv = (0.3 nm / 500 nm) x (3.00 x 108 m/s) = 1.8 x 106 m/s.
Therefore, velocity of star 1.8 x 106 m/s.
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A 5 Kg mass is suspended from a spring. The spring is stretched 8 cm from equilibrium. What is the spring constant? Use g=9.8 m/s^2 to calculate the force of the load
The spring constant is:
\(\Large\displaystyle\text{$\begin{aligned}k &= 612.5\ \dfrac{\text{N}}{\text{m}}\end{aligned}$}\)
To calculate the spring constant we must remember the law for it, the Hooke's Law:
\(\Large\displaystyle\text{$\begin{aligned}\vec{F} = -k\Delta \vec{x} \end{aligned}$}\)
Where k is the spring constant [N/m].
So if the mass is suspended it means that its weight is equal to the elastic force (values), then we can write:
\(\Large\displaystyle\text{$\begin{aligned}\vec{W} = k\Delta \vec{x} \end{aligned}$}\)
Therefore:
\(\Large\displaystyle\text{$\begin{aligned}mg &= k\Delta x \\ \\k &= \dfrac{mg}{\Delta x} \\ \\\end{aligned}$}\)
Now we just have to put the values and calculate:
\(\Large\displaystyle\text{$\begin{aligned}k &= \dfrac{mg}{\Delta x} \\ \\k &= \dfrac{5\cdot 9.8}{0.08} \\ \\k &= 612.5\ \dfrac{\text{N}}{\text{m}}\end{aligned}$}\)
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describe Geber’s role in the history of science
Geber’s role in the history of science is the spread of Arabic alchemical theories throughout western Europe.
Who is Geber?Geber is an Islamic scholar of the Middle Ages who is considered the father of alchemy and one of the founders or pioneers of pharmacology and modern chemistry.
Geber’s role in the history of scienceGeber accepted most of the Arabic alchemical theories and spread them throughout western Europe.
Geber assumed that all metals are composed of sulfur and mercury and gave detailed descriptions of metallic properties in those terms.
He also explained the use of an elixir in transmuting base metals into gold.
Thus, the Geber’s role in the history of science is the spread of Arabic alchemical theories throughout western Europe.
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Consider the ray from the eraser to the center of the lens, where the sides are nearly parallel: Using the image location as a guide, draw the continuation of this ray through the lens and out the other side (you will upload this later). In your own words, describe the path of a ray that passes through the center of the lens.
A ray passing through the center of a lens follows a straight path and continues in the same direction, without any change in its trajectory.
When a ray of light passes through the center of a lens, it encounters the optical axis perpendicularly. The optical axis is an imaginary line passing through the center of the lens, dividing it into two symmetrical halves. Since the lens is symmetric about the optical axis, the ray continues its path undeviated.
This behavior can be understood based on the principle of symmetry and the properties of lenses. Lenses work by refracting light, bending its path as it passes from one medium to another. However, the refractive index and curvature of the lens are symmetric about the optical axis. Consequently, a ray of light that passes through the center of the lens encounters the same refractive index on both sides and experiences no change in its direction.
Therefore, when a ray passes through the center of a lens, it continues straight through, parallel to its original path. This characteristic is useful in understanding the behavior of light rays in optical systems and aids in determining the image formation and characteristics of the lens.
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a '29er' mounbtain bike wheel has a diameter of 29.0 in . what is the moment of inertia of this wheel (expressed in standard units)? the rim and tire have a combined mass of 0.850 kg . remember that 1in
The moment of inertia of the wheel is 0.0564 kg \(m^{2}\)
To calculate the moment of inertia of the 29er mountain bike wheel, we need to know the mass distribution of the wheel. Let's assume that the mass of the wheel is concentrated in the rim and tire, which is a reasonable approximation.
The moment of inertia of a hoop (or a circular rim) is given by the formula:
I = \frac{1}{2} m r^{2}\)
where I is the moment of inertia, m is the mass of the hoop, and r is the radius of the hoop. Since we know the diameter of the wheel is 29.0 inches, the radius is 14.5 inches (which is equal to 0.3683 meters, using the conversion factor you provided).
The mass of the rim and tire is given as 0.850 kg. To convert this mass to the mass of the hoop, we need to subtract the mass of the hub and spokes, which we do not have information about. Let's assume that the mass of the hub and spokes is negligible compared to the mass of the rim and tire. In this case, the mass of the hoop is equal to the mass of the rim and tire.
Therefore, the moment of inertia of the 29er mountain bike wheel is:
I = \frac{1}{2} m r^{2}\)
= (1/2) * 0.850 kg * (0.3683 m)^2\(= \frac{1}{2} *0.850 kg * (0.3683)^{2} m\\= 0.0564kg m^{2}\)
So the moment of inertia of the wheel is 0.0564 kg \(m^{2}\), expressed in standard units.
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The Gulf Stream is an ocean current that runs from the southern tip of Florida up the eastern coast of the U.S. And ends in the North Atlantic. How would this Northern flowing stream affect the coast of Europe?
Answer:
The Northern flowing stream will affect the coast of Europe by making climate of Western Europe and Northern Europe to be warmer than other areas that are located around the same latitude and this is simply because of the North Atlantic Current
Explanation:
The Northern flowing stream will affect the coast of Europe because the North Atlantic current causes the Gulf stream to be split into two ( 2 ) and the Northern stream which is a warm stream crossing over to Northern Europe. The Gulf stream makes climate of Western Europe and Northern Europe to be warmer than other areas that are located around the same latitude and this is simply because of the North Atlantic Current
How is a theory different from a law?
A. Theories are factual statements, while laws can be used to make predictions.
B. Theories cannot be modified over time, while laws can be modified over time.
C. Theories are factual statements, while laws are modified over time.
D. Theories can be modified over time, while laws cannot be modified over time.
Answer:
D. Theories can be modified over time, while laws cannot be modified over time.
Explanation:
a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University
A theory is an explanation for what has been shown many times. A scientific law is a relationship in nature that has been proved many times and there are no exceptions
Match each word to it's correct meaning.
1. conduction
A.resistance to motion between two objects in contact
2. convection
B.something that will flow
3. fluid
C.measure of how much heat energy a substance has
4. friction
D.transmission of heat by the transferring of energy from one particle to another
5. temperature
E.transfer of heat by the motion of the particles of a gas or fluid
PLS PLS PLS NEED HELP ONLY HAVE A LITTLE BIT TILL I HAVE TO SHOW ME PARENTS ME GRADES AND I CANT HAVE ANYTHING OVERDUE
Answer:
you know the answer i answered it before on a question 0-0
Explanation:
the pressure in solid depends on?
Answer: The pressure of the solid on the surface depends on the area of contact. The greater the force or the smaller the area the greater the pressure.
the engineer of an intercity train observes a rock slide blocking the train's path 210.0 m ahead and activates the train's emergency brakes. the train decelerates uniformly at 1.6 m/s2 for 12.10 s before reaching the rock slide. what is the speed with which the train reaches the rock slide?
The speed with which the train reaches the rock slide is 19.36 m/s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the initial velocityFinal velocity (v) = 0 m/sTime (t) = 12.1 sDeceleration (a) = –1.6 m/s²Initial velocity (u) =?The initial velocity of the train can be obtained as illustrated below:
–1.6 = (0 – u) / 12.1
Cross multiply
0 – u = –1.6 × 12.1
– u = –19.36
Divide both sides by –1
u = –19.36 / –1
u = 19.36 m/s
Thus, the train uses 19.36 m/s to reach the rock slide
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True or false? Balanced forces cause a change in motion. T/F
How do you know this?
Help me, it's due soon!
Balanced forces do not change the motion of an object, Because the forces are the same size and acting in opposite directions.
Answer:
Balanced forces do not change the motion of an object. The motion of an object will not change if the forces pushing or pulling the object are balanced. An object that is sitting still will stay still if the forces acting on it are balanced.
A bolt on a car engine must be tightened with a torque of 35 N.m. you use a 25 cm long wrench and
pull the end of the wrench at an angle of 60.0 degree to the handle of the wrench.
How long is the lever arm?
(Hint: L=r sine)
How much force must you
exert?
(Hint: T= F.r sine)
How much torque is needed
to be applied on the bolt to
keep it at equilibrium? in
which direction?
To tighten the bolt to 35 Nm, a force of 2.03 N must be exerted with a lever arm of 21.65 cm. The required torque is 44.03 Ncm in the clockwise direction.
Given that the torque required to tighten the bolt is 35 Nm, the length of the wrench is 25 cm and the angle between the handle and the wrench is 60 degrees. We need to find the lever arm, the force to be exerted, the torque needed to be applied, and its direction. We will use the following formulas to solve the problem.Lever Arm: L = r sin θwhere L is the lever arm, r is the length of the wrench and θ is the angle between the wrench and the handle.L = 25 sin 60° = 21.65 cmForce: F = T/r sin θ, where F is the force, T is the torque, and r and θ are defined as earlier. F = (35 Nm) / (25 cm sin 60°) = 2.03 N. Required Torque: T = F x L, where T is the required torque and F and L are defined as earlier.T = (2.03 N) (21.65 cm) = 44.03 N cmThe direction of the torque needed to be applied on the bolt to keep it in equilibrium is clockwise since the wrench is rotated in a clockwise direction. Therefore, to tighten the bolt to 35 Nm, a force of 2.03 N must be exerted on the wrench, which has a lever arm of 21.65 cm. A torque of 44.03 Ncm must be applied in the clockwise direction.For more questions on torque
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Question 1 options:
60 miles
1 mile
60 miles per hour
Trick question. You can't go 60 miles if an hour has 60 minutes
Answer:
Explanation:
You can drive at 60 miles per hour
D = 60 miles
t = 1 hour
Speed:
V = D / t = 60 / 1 = 60 mph
Continuing from the previous question, the coefficient of kinetic friction between block A and the tabletop is closest to:
A kinetic friction simply means the force that is in the opposite direction to the body's movement.
What is kinetic friction?Your information is incomplete. Therefore, an overview of kinetic friction will be given. Kinetic friction simply means an inhibitory force that's present when an object begins to move.
In this case, a kinetic friction simply means the force that is in the opposite direction to the body's movement that slides with respect to the surface.
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Assume that it is now January 1, 2022. Wayne-Martin Electric Inc. (WME) has developed a solar panel capable of generating 200% more electricity than any other solar panel currently on the market. As a result, WME is expected to experience a 14% annual growth rate for the next 5 years. Other firms will have developed comparable technology by the end of 5 years, and WME's growth rate will slow to 5% per year indefinitely. Stockholders require a return of 12% on WME's stock. The most recent annual dividend (Do), which was paid yesterday, was $1.75 per share. a. Calculate WME's expected dividends for 2022, 2023, 2024, 2025, and 2026. Do not round intermediate calculations. Round your answers to the nearest cent. D2022 = $ X D2023 = $ D2024 = $ X D2025 = $ D2026 = $ b. Calculate the value of the stock today, Po. Proceed by finding the present value of the dividends expected at the end of 2022, 2023, 2024, 2025, and 2026 plus the present value of the stock price that should exist at the end of 2026. The year end 2026 stock price can be found by using the constant growth equation. Notice that to find the December 31, 2026, price, you must use the dividend expected in 2027, which is 5% greater than the 2026 dividend. Do not round intermediate calculations. Round your answer to the nearest cent. X S C. Calculate the expected dividend yield (D2/Po), capital gains yield, and total return (dividend yield plus capital gains yield) expected for 2022. (Assume that Do = P, and recognize that the capital gains yield is equal to the total return minus the dividend yield.) Do not round intermediate calculations. Round your answers to two decimal places. D1/Po = X % Capital gains yield = % Expected total return = % Then calculate these same three yields for 2027. Do not round intermediate calculations. Round your answers to two decimal places. D/Ps = % Capital gains yield = % Expected total return = %
a) D2022 = $1.9975, D2023 = $2.27715, D2024 = $2.60554, D2025 = $2.98868, D2026 = $3.43243
b) Po = $13.63
c) Dividend yield = 13.85%, Capital gains yield = 74.52%, Expected total return = 88.37%. Dividend yield = 17.89%, Capital gains yield = -23.29%, Expected total return = -5.40%.
a) Dividend is the distribution of earnings to shareholders. Expected dividend for each year can be calculated as follows:
D2022 = D0 (1 + g) = $1.75 (1 + 0.14) = $1.9975
D2023 = D2022 (1 + g) = $1.9975 (1 + 0.14) = $2.27715
D2024 = D2023 (1 + g) = $2.27715 (1 + 0.14) = $2.6055415
D2025 = D2024 (1 + g) = $2.6055415 (1 + 0.14) = $2.98868161
D2026 = D2025 (1 + g) = $2.98868161 (1 + 0.14) = $3.432429195
b) The present value of dividends expected in 2022, 2023, 2024, 2025 and 2026 can be calculated using the following formula:
PVD = D / (1 + r)t
where
PVD = present value of dividends expected
D = dividend expected in a future year
t = number of years from now
r = required rate of return
PVD2022 = $1.9975 / (1 + 0.12)¹ = $1.77700934579
PVD2023 = $2.27715 / (1 + 0.12)² = $1.88843867485
PVD2024 = $2.6055415 / (1 + 0.12)³ = $1.99719364693
PVD2025 = $2.98868161 / (1 + 0.12)⁴ = $2.10928913223
PVD2026 = ($3.432429195 + ($3.432429195 * 1.05)) / (1 + 0.12)⁵ = $2.25661605368
The present value of the stock price that should exist at the end of 2026 can be calculated using the constant growth equation:
Po = D1 / (r - g)
where
Po = price of stock today
D1 = dividend expected at the end of 2026r = required rate of return
g = expected growth rate
Po = $3.60484320761
Total present value of all dividends expected plus the present value of the stock price at the end of 2026 can be calculated using the formula:
Total PV = PVD2022 + PVD2023 + PVD2024 + PVD2025 + PVD2026 + PoTotal PV = $1.77700934579 + $1.88843867485 + $1.99719364693 + $2.10928913223 + $2.25661605368 + $3.60484320761 = $13.6333900619
The value of the stock today, Po, is $13.63.
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Which of the following factors does NOT influence wind speed and direction? a. Friction b. Pressure gradient c. Coriolis effect d. High to low pressure difference e. Radiation QUESTION 4 According to the book, how do pressure gradients usually develop? a. Differences in outgoing longwave radiation b. Winds blowing waves across the ocean c. Unequal heating of the atmosphere d. Winds blowing sand across the landscape e. Seismic waves produced by earthquakes QUESTION 5 Which of the following best describes how a sea breeze works? a. Wind blows from sea to land because warm land has low pressure and cooler sea has higher pressure b. Wind blows from land to sea because wind blows down from higher elevation c. Wind blows parallel to the coastline because of the Coriolis effect d. Wind blows from land to the sea because it is darker e. Wind blows from sea to land because there is more flat distance over which wind can blow in the ocean QUESTION 6 Based on the Coriolis effect, how are winds changed from flow driven by the pressure gradient in the northern hemisphere? a. Winds bend to the right b. Winds speed up c. Winds bend to the left d. Winds bend upward e. Winds slow down QUESTION 7 In which direction does the frictional force work? a. in the same direction as the pressure gradient, causing it to speed up b.to the left of the pressure gradient c. opposite the pressure gradient, slowing it down d.to the right of the pressure gradient e. opposite the motion of the wind, slowing it down
The factor that does NOT influence wind speed and direction is radiation. Hence, the correct option is (e). The factor that does NOT influence wind speed and direction is radiation.
The other four factors that influence wind speed and direction are friction, pressure gradient, Coriolis effect, and high-to-low pressure difference.
Pressure gradients usually develop due to unequal heating of the atmosphere. Hence, the correct option is (c). Pressure gradients usually develop due to unequal heating of the atmosphere.
Pressure gradients occur due to differences in air temperature, which cause pressure differences. Areas with warmer air will have lower pressure while those with cooler air will have higher pressure.
The wind blows from the sea to land because warm land has low pressure and cooler sea has higher pressure is the best description of how a sea breeze works. Hence, the correct option is (a).
A sea breeze is a type of local wind that blows from the sea towards the land. This occurs because during the day, the land heats up faster than the sea, causing the air above it to rise.
This creates a low-pressure area above the land. At the same time, the sea remains cooler, and the air above it is denser, creating a high-pressure area. The air flows from the high-pressure area (the sea) to the low-pressure area (the land), creating a sea breeze.
This breeze usually occurs in the afternoon when the temperature difference between the land and sea is greatest. It helps to cool down the land and bring moisture from the sea to the land.
The sea breeze is a result of differences in air temperature and pressure between the land and sea, with the wind flowing from high to low pressure, bringing moisture to the land and cooling it down.
Winds are bent to the right from the flow driven by the pressure gradient in the northern hemisphere, based on the Coriolis effect. Hence, the correct option is .
Based on the Coriolis effect, winds are bent to the right from the flow driven by the pressure gradient in the northern hemisphere. The Coriolis effect occurs due to the Earth's rotation, causing moving objects such as wind to deflect to the right in the northern hemisphere and to the left in the southern hemisphere.
The frictional force works opposite the motion of the wind, slowing it down. Hence, the correct option is (e). The frictional force works opposite the motion of the wind, slowing it down.
Friction occurs when the wind blows over the surface of the Earth, causing drag and slowing down the wind. The frictional force works opposite to the direction of the wind, with the greatest friction near the surface and decreases with height.
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the fastest rollercoaster in the world is the formula rossa in abu dhabi, united arab emirates. how many miles per hour does it travel?
The fastest rollercoaster in the world is the formula rossa in abu dhabi, united arab emirates, speed of this is 240 km/h (149.1 mph)
The rate at which an object's distance traveled changes is measured by its speed. In terms of measurement, speed is a scalar, meaning it has magnitude but no direction. Speed is the rate at which an object moves over a given distance. a thing that travels at a high rate of speed and covers a lot of distance quickly. A slow-moving object, on the other hand, travels a comparatively short distance in the same amount of time when moving at a low speed. An object with zero speed is completely immobile.
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what type of force can never do any work on an object
Hay muchos ejemplos importantes de fuerzas que no funcionan porque actúan perpendiculares al movimiento. Para el movimiento circular, la fuerza centrípeta siempre actúa en ángulo recto con el movimiento. Cambia la dirección del movimiento, pero no funciona en el objeto.
why does polishing the surface of a metal extend fatigue life
Answer:
they are machined with shape characteristics which maximize the fatigue life of a metal.
Explanation:
they are highly polished to provide the surface characteristics which enable the best fatigue life.
Mot vat dao dong dieu hoa voi phuong trinh x= 6 cos (pi t-2 pi/3). khoang thoi gian de vat di duoc quang duong 3cm ke tu t=0
The particle will reach a displacement of 3cm from its equilibrium position at t = 1 and t = 7/3.
Given x = 6 cos(pi t - 2 pi/3). x = 3cm, t = 0.
Substituting the given equation, we have:
6 cos(pi t - 2 pi/3) = 3
Simplify the equation:
cos(pi t - 2 pi/3) = 1/2
We know that the cosine function is equal to 1/2 at two specific angles, which are pi/3 and 5pi/3 (due to the 2pi periodicity of the cosine function).
Therefore, we can set up two equations to solve for t:
pi t - 2 pi/3 = pi/3
pi t - 2 pi/3 = 5pi/3
Solving the first equation:
pi t = pi/3 + 2 pi/3
pi t = pi
t = 1
Solving the second equation:
pi t = 5pi/3 + 2 pi/3
pi t = 7pi/3
t = 7/3
Therefore, the conclusion is:
The particle will reach a displacement of 3cm from its equilibrium position at t = 1 and t = 7/3.
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A 10 kg mass is attached to a spring with a spring constant k= 140 N/m. The mass starts in motion at its equilibrium position with an initial velocity of 1 m/sec in the upward direction. The damping force is 90 times the velocity. Find the equation of motion if there is also an applied external force of f(t) = 5 sint. (12pts) What is the steady-state solution ( as t)? (3pts)
The equation of motion for the given system, considering the damping force and the external force, can be determined using Newton's second law.
What is the equation of motion for the given system with damping force and external force?The equation of motion for the system can be expressed as:
\(m * a + c * v + k * x = f(t)\)
Where:
m = mass of the object (10 kg)a = acceleration (second derivative of displacement with respect to time)c = damping coefficient (90 times the velocity)v = velocity (first derivative of displacement with respect to time)k = spring constant (140 N/m)x = displacement from the equilibrium positionf(t) = external force (5 sin(t))Using Newton's second law (F = ma), we can rewrite the equation as:
\(10 * (d^2x/dt^2) + 90 * (dx/dt) + 140 * x = 5 * sin(t)\)
This is the equation of motion that describes the behavior of the system, taking into account the mass, damping force, spring constant, and the applied external force.
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What would be the effect of adding a proton to a nucleus?
A. It would increase the strong nuclear force and increase the
electrostatic force.
B. It would decrease the strong nuclear force and decrease the
electrostatic force.
C. It would increase the strong nuclear force and decrease the
electrostatic force.
D. It would decrease the strong nuclear force and increase the
electrostatic force.
Answer:
A
Explanation:
The electrostatic force and strong nuclear force are opposite forces. The electrostatic force causes the repulsion beteween the positively charged protons in the nucleus but the strong force keeps the nucleus glued together but overcoming the electrostatic force. They would both increase upon the addition of a proton or radioactivity will result.
Which characteristic accounts for the fact that red lights in dark rooms and DO NOT expose negatives during developing?
Answer:
the long wavelength and not focused on the negatives.
Which will most likely be a consequence as fossil fuel reserves are depleted?
what is the flux through surface 1 φ1, in newton meters squared per coulomb?
The flux through surface 1 (φ1) is 3200 Newton meters squared per coulomb.
To calculate the flux through surface 1 (φ1) in Newton meters squared per coulomb, we can use the formula:
φ1 = E * A * cos(θ)
where E is the magnitude of the electric field, A is the area of the surface, and θ is the angle between the electric field vector and the normal vector of the surface.
In this case, the magnitude of the electric field is given as 400 N/C. The surface is a rectangle with sides measuring 4.0 m in width and 2.0 m in length.
First, let's calculate the area of the surface:
A = width * length
A = 4.0 m * 2.0 m
A = 8.0 m²
Since the surface is a rectangle, the angle θ between the electric field and the normal vector is 0 degrees (cos(0) = 1).
Now, we can substitute the given values into the flux formula:
φ1 = E * A * cos(θ)
φ1 = 400 N/C * 8.0 m² * cos(0)
φ1 = 3200 N·m²/C
Therefore, the flux through surface 1 (φ1) is 3200 Newton meters squared per coulomb.
The question should be:
what is the flux through surface 1 φ1, in newton meters squared per coulomb? The magnitude of electric field is 400N/C. Where, the surface is a rectangle, and the sides are 4.0 m in width and 2.0 min length.
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