The magnitude of the maximum acceleration is 100 m/s². We can find the value of acceleration use the harmonic oscillator formula.
The equation for the position of a simple harmonic oscillator is given by:
x(t) = A cos(ωt + φ)
where A is the amplitude, ω is the angular frequency, and φ is the phase angle.
Taking the second derivative of x(t) with respect to time gives the acceleration:
a(t) = -Aω² sin(ωt + φ)
For the given equation, x(t) = 0.5 cos(20t), we can see that the amplitude A = 0.5, and the angular frequency ω = 20 rad/s.
Therefore, the maximum acceleration is:
a_max = Aω² = (0.5)(20)² = 100 m/s².
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how was mount Everest made? Please i am handing out 100 points
Answer:
Mount Everest formed from a tectonic smashup between the Indian and Eurasian tectonic plates tens of millions of years ago.
Explanation:
1. A car moving to the right at 30 m/s, slows down 5 m/s every second until it comes to a stop.
a). At what time will the car come to a stop?
b). How far did the car travel by the time it came to a stop?
I NEED THE RIGHT ANSWER ASAP THIS IS A SCIENCE QUESTION
Answer:
The answer is B.
Explanation:
A Block has a density of 0.97 g/cm 3. That is why 97 percent of the ice will sink in below the water.
For pea plants, T represents a dominant allele for tall pea plants and t is the recessive allele for short pea plants. If two plants with the Tt genotype are crossed, what is the probability that offspring will exhibit the dominant trait?
Answer:
75%(TT,Tt,tt) Hope that helps
what is true about a pseudoscientific
Answer:
C: it ignores parts of the method within an investigation
A toy cart with a weight of 10N moves with a constant velocity of 2 m/s to the right on a horizontal table. According to Newton's Laws of Motion, which of the following statements is correct?
a
The table exerts a force of 10N upward on the toy cart.
b
The toy cart exerts a force of 10N upward on the toy table.
c
The toy cart exerts a force of 2N downward on the table.
d
The toy cart exerts a force of 2N to the right on the table.
Answer:
Its A ik cuz i just studied it when i was answering this question...
Explanation:
have a good day!
according to the general theory of relativity, how fast to gravitational waves move through space? according to the general theory of relativity, how fast to gravitational waves move through space? the speed of sound the speed of gravity, which is slower than light the speed of light the speed of gravity, which is faster than light gravitational waves can be felt instantaneously over any distance of space.
Light-speed gravitational waves are produced (186,000 miles per second). As they pass past, these waves compress and stretch everything in their path. An undetectable ripple in space is known as a gravitational wave.
A natural consequence of Albert Einstein's general theory of relativity, which states that extremely heavy objects disrupt the fabric of time and space—an effect we experience as gravity—could be gravitational waves, according to an idea he made in 1916. Einstein's realization that the speed of light remains constant regardless of the motion of the light source forms the foundation of the Special Theory of Relativity. The speed of the light source and the speed of the light beam should be added to find the overall speed, but this is not how light operates.
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The reservoir stores 6 500 000 m3 of water. The density of the water is 998 kg/m3. Calculate the mass of water in the reservoir. Give your answer in standard form.
Answer:
Mass = 64,870,000,000 kilograms
Explanation:
Given the following data;
Density = 998 kg/m³
Volume = 6,500,000 m³
To find the mass of water in the reservoir;
Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.
Mathematically, density is given by the equation;
Density = mass/volume
Making mass the subject of formula, we have;
Mass = density * volume
Mass = 998 * 6,500,000
Mass = 64,870,000,000 kilograms
SOUND IS A FORM OF WAVE.LIST AT LEAST 3 REASONS TO SUPPORT IDEA THAT SOUND IS A WAVE.
A train leaves a station traveling north at 45 km/h. 2 hours
later, an express train leaves the same station on a parallel track
traveling north at 75 km/h. How far from the station will the
trains me
Explanation:
First train has 2 hr * 45 km/hr = 90 km head start
Closing speed between the two trains 745 - 45 = 30 km
to cover the 90 km between them will take 3 hours
and the second train will be at 75 km/hr * 3 hr = 225 km from the station
Two masses, m1 & m2 are separated by a distance of 12 m between their centers. The gravitational force attraction between the two masses is measured to be 6.0 x 10-6 N. The masses are then moved closer to one another, to a distance of 4 m between centers, and the resulting gravitational force is measured again. According to the Universal Law of Gravitation, the second measurement is
The universal law of gravitation says that the gravitational force between the two masses is
F₁ = G m₁ m₂ / r ² = 6.0 × 10⁻⁶ N
where r = 12 m. When the distance between the two masses is reduced to R = 4 m, i.e. 1/3 of the original distance r, we have
F₂ = G m₁ m₂ / R ² = G m₁ m₂ / (r/3)² = 1/9 G m₁ m₂ / r ² = 1/9 F₁
so that the resulting gravitational force has 1/9 the first magnitude, or
F₂ = 1/9 (6.0 × 10⁻⁶ N) ≈ 6.7 × 10⁻⁷ N
How is the density of a fish controlled? how is the density of a submarine controlled?
The density of a fish is controlled by the expansion and contraction of its air sacs while the density of a submarine is controlled by ballast tanks. It was emphasized earlier that buoyant forces does not equal an objects weight but does equal the weight of displaced water.
What are mass, density, and volume ?The three most fundamental characteristics of an object are mass, volume, and density. Volume indicates something's size, mass indicates how heavy it is, and density is calculated as mass divided by volume. Although you deal with mass and volume on a daily basis, the concept of density is less clear-cut and requires careful consideration.
Mass divided by density equals volume; and. Volume times density equals mass. A liquid's density is a gauge of how heavy it is relative to the amount being measured. The liquid that weighs heavier is more dense if you weigh two liquids with similar volumes or amounts.
The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms.
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If velocity of a particle is given by v=10+2t² m/s, the average acceleration between 2 sec and 5 sec is?
Answer:
14 m/s^2
Explanation:
Use the formula to get the velocities at 2, and 5 seconds.
Then use the average acceleration formula.
How is heat transferred during thermal conduction? Through direct contact of particles Through electromagnetic waves Through motion of hot and cold liquid Through the rising of a warm gas
Answer:
Through direct contact of particlesExplanation:
Heat is transferred in the following ways listed below
1. Conduction(Through direct contact of particles )
2. Convection(Through motion of hot and cold liquid )
3. Radiation(Through electromagnetic waves Through the rising of a warm gas )
1. Conduction: This has to do with the transfer of heat from one medium to another having direct contact with each other, the medium can either be solid or liquids
2. Convection: Has to do with the transfer of heat energy via molecules of the liquids in motion with different or varying temperature gradients
3. Radiation: Mostly occurs in gases, it is the transfer of energy through waves
An airplane is traveling in the direction 35∘ west of north at 800 km/hr. Find the component form of the velocity of the airplane, assuming that the positive x-axis represents due east and the positive y-axis represents due north. What is the component form of the velocity of the airplane? (Round the final answer to one decimal place as needed.)
Based on the linear model, the estimated temperature at which water will boil on Pike's Peak is approximately 185.4 degrees Fahrenheit.
To find the equation that best models the relationship between the temperature at which water boils (t) and the altitude (h), we can use a graphing utility to plot the data points and perform linear regression.
After plotting the data points, we can see that they approximately form a straight line. By performing linear regression, we can determine the equation of this line. The equation will be of the form t = mx + b, where m represents the slope of the line and b represents the y-intercept.
Using the graphing utility, we find that the equation that best fits the data is t = -0.023h + 212.8. This equation represents the linear relationship between the altitude and the boiling point temperature of water.
To estimate the temperature at which water will boil on Pike's Peak, which is 14,115 feet above sea level, we can substitute the altitude value into the equation:
t = -0.023(14115) + 212.8 ≈ 185.4 degrees Fahrenheit.
Therefore, based on the linear model, the estimated temperature at which water will boil on Pike's Peak is approximately 185.4 degrees Fahrenheit.
It's important to note that this estimation is based on the assumption that the relationship between altitude and boiling point temperature remains linear within the given altitude range.
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Sound travels slowest through gases _____________________. Group of answer choices because the molecules of gas are close together because gases are air because the molecules of gas are far apart because gases have the lowest temperature
Help please 20 points ? ASAP
Answer:
21: Mass
22: Unbalanced Force
23: Friction
24: Balanced
Explanation:
what is the speed of light faster than the speed of sound in air?
Explanation:
The speed of light in air is approximately 300,000,000 meters per second. The speed of sound in air is approximately 343 meters per second. Light is the propagation of electromagnetic waves, while sound is the physical vibration of the medium
(1 point) At a point P in the xy-plane where distances are measured in feet, the unit tangent vector to an object's path is Jo(-3, 1), the curvature of its path at P is 0.8 feet-1, and its acceleration vector is (4,5) feet/second". (a) At what rate is the object speeding up at P? sqrt(25+16) ft/s^2 Include units on your answer. (b) What is the object's speed at P? sqrt(10) ft/s Include units on your answer.
a) The rate at which the object is speeding up at P can be found by taking the dot product of the acceleration vector and the unit tangent vector.
(4,5) · Jo(-3,1) = 4*(-3) + 5*1 = -12+5 = -7 ft/s^2
The rate of change of speed at P is -7 ft/s^2.
b) The object's speed at P can be found using the formula for curvature and speed:
Speed = Curvature * radius
In this case, the curvature is 0.8 ft^-1 and the radius is not given, so we can't find the exact speed of the object, however, we can use the relation between the curvature and the acceleration vector.
Acceleration vector = curvature * Speed * Unit Tangent vector
√(4^2 + 5^2) = √(25+16) = √(41) = sqrt(41) = 6.4 ft/s
The object's speed at P is 6.4 ft/s.
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What would you use to to measure the weight of a truck?? I’m needing a word that is 8 letters long
Answer:
Railroad Scale?
Explanation:
4. at a distance of 7 x 1012 m from a star, the intensity of the radiation from the star is 15.4 w/m2. assuming that the star radiates uniformly in all directions, what is the total power output of the star?
If the star radiates uniformly in all directions, the total power output of the star is 2.37 x 10²⁷ W.
The formula for the intensity of the light at a distance R from the source of light (which is star in this case) is given by,
I = P/A
I is the intensity,
P is the power,
A is the area.
We can write,
P = IA
Intensity is given to be 15.4 W/m².
A = πR²
Here, we will take the value of R is 7 x 10¹² m.
So,
A = π( 7 x 10¹²)²
Putting the values,
P = IA
P = 15.4 x π x ( 7 x 10¹²)²
P = 2.37 x 10²⁷ W.
The power output of the star is 2.37 x 10²⁷ W.
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A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.
(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.
(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:
Energy = Power × Time
Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:
Time = Energy ÷ Power
Converting the energy to watt-hours (Wh):
Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh
Converting the power to watt-hours (Wh):
Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh
Now we can calculate the time:
Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours
Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.
(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.
In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.
This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.
(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.
In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.
(d) The electromagnetic field output from an antenna can be represented by two main regions:
Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.
Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation. The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.
The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.
In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.
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Consider three widely separated galaxies in an expanding universe. Imagine that you are located in galaxy 1 and observe that both galaxies 2 and 3 are moving away from you. If you asked an observer in galaxy 3 to describe how galaxy 2 appears to move, what would he or she say?
Answer:
The observer will say that galaxy 2 is moving away from galaxy 3 where he stands.
Explanation:
Since the galaxies are expanding, each one would move away from the others. Observers on all three galaxies have their frame of reference fixed on their own galaxies. Judging from their own galaxies, each observer will perceive the other galaxies moving away from his/or galaxy.
The observer at galaxy 3 will talk about galaxy 2 by doing is; he will say that galaxy 2 is moving far from him.
We are told that the universe is expanding and as such, the galaxies would be expanding and moving away from each other.
Since the galaxies are expanding, it means that they will be moving away from each other.
From time dilation principle, an observer at galaxy 3 will say that galaxy 2 is moving far from him.
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why does a person fall to the floor when he or she trips over a heavy box?
*Newton’s Laws*
Answer:
Friction (traction) is the resistance between things. There's friction between your shoes and the ground. Without enough friction, you can slip and fall.
When you push a heavy box, it pushes back at you with an equal and opposite force (Third Law) so that the harder the force of your action, the greater the force of reaction until you apply a force great enough to cause the box to begin sliding.
When a person trips over a heavy box and falls to the floor, it's due to a combination of factors related to the laws of physics. Here's what happens:
1. Inertia: Every object tends to remain at rest or in uniform motion unless acted upon by an external force. This is Newton's first law of motion. When you're walking and suddenly trip over a heavy box, your body's forward motion is abruptly interrupted by the box. Your lower body and legs might still have forward momentum, causing you to stumble or fall.
2. Force of Gravity:The heavy box you trip over exerts a force of gravity on your body. When you collide with the box, this force pulls you downward, accelerating your fall towards the ground.
3. Friction and Contact Forces: When you trip over the box, there are contact forces and frictional forces involved. Your foot might get caught on the box, and the friction between your foot and the surface of the box can cause your body to tilt forward. As a result, you lose your balance.
4. Center of Mass: Your body's center of mass is the point around which your weight is evenly distributed. When you trip and lose your balance, your center of mass might shift outside your base of support (your feet), causing you to tip over and fall.
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The weight of a cuboid box is 288 N. Find its mass.
Answer:
29.39 kg
Explanation:
From the question,
W = mg...................... Equation 1
Where W = weight of the cuboid box, m = mass of the cuboid box, g = acceleration due to gravity.
make m the subject of the equation
m = W/g.................. Equation 2
Given: W = 288 N
Constant: g = 9.8 m/s²
Substitute these values into equation 2
m = 288/9.8
m = 29.39 kg
and electric motor lifts an elevator a vertical distance of 18.0m in a time of 30.0s by exerting an upward force of 6.0x10^3 N . what power does the electric motor produce?
Answer:
\(\fbox {3.6kW}\)
Explanation:
Formula used :
\(\boxed {P = F \times v} \leftarrow \rightarrow \boxed {P = \frac{F \times S}{t}}\)
Given :
⇒ F = 6 × 10³ N
⇒ S = 18 m
⇒ t = 30 s
Solving :
⇒ P = 6 × 10³ × 18 / 30
⇒ P = 2 × 100 × 18
⇒ P = 3600 W
⇒ P = 3.6kW
Sonar stands for ""sound navigation and ranging."" What assumption was proved wrong after the invention of sona
The invention of sonar, which stands for "sound navigation and ranging," revolutionized underwater navigation and detection by using sound waves. Before the development of sonar, there was an assumption that sound traveled in a straight line underwater, similar to how it does in air. However, this assumption was proved wrong after the invention of sonar.
Sonar works by emitting sound waves into the water and then measuring the time it takes for the sound waves to bounce back after hitting an object. By analyzing the returned sound waves, sonar systems can determine the distance, direction, and shape of underwater objects or features. This technique was initially based on the assumption that sound waves would travel in a straight line underwater, just as they do in the air.
However, sonar experiments and observations revealed that sound waves in water are affected by various factors, such as temperature, salinity, and pressure. These factors can cause sound waves to refract (bend) and reflect off underwater surfaces, leading to complex paths and interactions. As a result, the assumption of straight-line sound propagation was proven wrong.
The understanding of sound behavior underwater and the corrections made to sonar techniques allowed for more accurate mapping of underwater environments, detection of underwater objects, and navigation of submarines and ships. By accounting for the effects of refraction and reflection, modern sonar systems can provide precise and reliable information about underwater conditions, contributing to a wide range of applications in marine exploration, navigation, and scientific research.
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Why is the distance between the food medium and the magnetron not important to the determination of cc in this experiment?
Write the equation to calculate cc in terms of dd rather than \lambdaλ.
The distance between the food medium and the magnetron is not important to the determination of cc in this experiment because the measurement of the dielectric constant of a food material is independent of the distance between the food medium and the magnetron.
The measurement of the dielectric constant of a food material is based on the amplitude of the electromagnetic wave, which is not affected by the distance between the food medium and the magnetron. Therefore, the distance between the food medium and the magnetron is not important to the determination of cc in this experiment.
The equation to calculate cc in terms of dd rather than λ is given below;
cc=λ(2dd)λ=cc/2dd
Where cc is the velocity of light, dd is the distance between the two plates of a capacitor, and λ is the wavelength of light.
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To obtain the number of meters from a distance measured In centimeters, you must ____ by the number _____
Answer:
Divide by the number 100
Explanation:
Since there are 100 centimeters in 1 meter, we can see that if you are given a number in centimeters, the number of meters is that number divided by 100. Hope this helps!
Answer:
Divide by 100
Explanation:
a If a bus covers 4.2 km in 7 minutes find out
find
it’s speed
Explanation:
4.2 km / 7 min
IS already speed.
as
speed = distance / time
but it probably means a standardized speed like
km/h = km / 1 hour
so, we have the fraction (every ratio is audio a fraction)
4.2 km / 7 min = 0.6 km / 1 min
aha, and now we only need to multiply this by 60/60 to get the speed as per 1 hour (remember, 1 hour = 60 minutes) :
0.6/1 × 60/60 = 0.6×60 / (1×60) = 36/60 = 36 km/h
Answer:
36
Explanation:
v=d/t
where
d=4.2 km
t=7 minutes/60 minutes (using conversion)
t=.1166666667 H
so,
v=4.2 km/.117 H
v=36 km/H