wavelength of the photon is 300 nm
using ν= c/λ,
where c ⇒ speed of light =3x10⁸ m/s
λ⇒wavelength of light = 300 nm
frequency⇒ν=(3x10⁸)/(300X10⁻⁹)
so, ν= 10¹⁵ s⁻¹ is the frequency of photon of wavelength 300 nm.
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3rd newton law You step off a curb
-- Your foot hits the street.
-- Your foot exerts a force down onto e pavement.
-- The pavement exerts an equal force up against your foot. This is the force that stops you from going any farther down.
suppose a ball is thrown upward to a height of meters. each time the ball bounces, it rebounds to a fraction r of its previous height. let be the height after the nth bounce and let be the total distance the ball has traveled at the moment of the nth bounce.
The total distance the ball has traveled at the moment of the nth bounce can be calculated using the sum of a geometric series formula of dₙ = h(1 - rₙ) / (1 - r).
Let's assume the initial height of the ball is h. After the first bounce, the ball reaches a height of rh. Following each subsequent bounce, the ball's height can be calculated using the formula:
hₙ = rhₙ₋₁
where hₙ represents the height after the nth bounce.
To find the total distance traveled at the moment of the nth bounce, we can use the sum of a geometric series formula:
dₙ = h(1 + r + r² + ... + rₙ₋₁)
where dₙ represents the total distance traveled after the nth bounce.
The sum of a geometric series formula can be expressed as:
dₙ = h(1 - rₙ) / (1 - r)
Thus, the total distance traveled by the ball at the moment of the nth bounce can be calculated using this formula.
It's important to note that the above calculations assume that there is no external force acting on the ball during its motion and that there is no loss of energy during each bounce.
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Refer to science 10 (mirror mirror on the wall)how do the height and width of the object compare with the height and width of the image?
Depends on what type of mirror that is. I am going to assume this is a plain mirror (from the phrase), which means the height and width of the object and image is exactly the same.
The mirror images and the object both show the same ratio of height and width of the particular object. An image is formed due to reflection of light.
What is the relation between mirror image and object?The mirror image of an object or the two-dimensional figure of an object is the virtual image which is formed by the reflection in a plane mirror. It is of the same size as the original object, yet it is different, unless the object or figure has reflection symmetry which is also known as a P-symmetry.
The height and width of the object are the same as the height and width of the image formed in the mirror. A flat mirror is a mirror with a flat, shiny surface, for example, the mirror we use to look for in the mirror. The properties of the plane mirror images are include the image is neither inverted nor upright but it is virtual.
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A string under a tension of 170 N has a frequency of 300 Hz.What will its frequency become if the tension is increased to 340 N?
The speed of the wave on a string is given by Taylor's formula:
\(v=\sqrt[]{\frac{F}{\mu}}\)where
F = tension force
μ = linear density = mass per unit length
But also we can say the speed of any wave is given by:
\(v=\lambda\times f\)where:
λ = wave length
f = frequency
Plug the second equation in the first one. We get:
\(\lambda\times f=\sqrt[]{\frac{F}{\mu}}\)Now solve for f:
\(f=\frac{1}{\lambda}\times\sqrt[]{\frac{F}{\mu}}\)Lets say wave length is the same on the second case. Since it's the same string μ will also be the same.
See that 340 N = 2 x 170, so we can write:
\(\begin{gathered} f_{new}=\sqrt[]{2}\times\frac{1}{\lambda}\sqrt[]{\frac{F}{\mu}} \\ f_{new}=\sqrt[]{2}\times f_{old} \\ f_{new}=\sqrt[]{2}\times300 \\ f_{new}\approx424Hz \end{gathered}\)A big red fish with a mass of 20 kg swims with a velocity of 2 m/s toward a small, stationary green fish which has a mass of 10 kg. The big red fish opens its mouth and swallows the small green fish. What will the big red fish's velocity be immediately after swallowing its meal?
Answer:
1.33m/s
Explanation:
Given parameters:
M1 = 20kg
V1 = 2m/s
V2 = 0m/s
M2 = 10kg
Unknown:
V = ?
Solution:
As with all systems, the momentum must be conserved and it implies that the starting and ending momentum be the same.
M1 V1 + M2 V2 = V (M1 + M2)
M1 is the mass of the big red fish
V1 is the velocity of the big red fish
V2 is the velocity of the green fish
M2 is the mass of the green fish
V is the velocity after swallowing
(20 x 2) + (10 x 0) = V (20 + 10)
40 = 30V
V = 1.33m/s
Please help me!! I need the answer to this!
Answer:
A. 30 yards
Explanation:
40 yards - 10 yards = 30 yards
So he displaced 30 yards. Since no directions are given, I'm guessing that it can be assumed he displaced in a positive direction and not negative. So just 30 yards.
Answer:
d
Explanation:
40 divided by 10 give u 4
Which situation provides the best evidence that a chemical reaction is taking place?
Help please !!!!
Answer:
A new product is formed
Explanation:
Physical reactions generally result in a change of state (solid, liquid, gas). Chemical reactions generally result in the production of a new product/ substance (structure/ properties are different than the intial reactants'... example= burning wood)
The hours of daylight and night time are equal during ______________.
an eclipse
a new moon
an equinox
a solstice
Answer:
The answer is 'an equinox'.
The frequency which, under the sampling theorem, must be exceeded by the sampling frequency is called the Nyquist rate. Determine the Nyquist rate corresponding to each of the following signals:a) x(t) = 1 + cos(2,000πt) + sin(4,000πt)b) x(t)= sin(4000 π t) / π tc) x(t)= 2 [sin(4000 π t) / πt]2
Nyquist rate = 2*(maximum signal frequency)
Sampling rate must exceed Nyquist rate in order to be able to fully reconstruct the signal.
a) x(t) = 1 + cos (2000πt) + sin(4000πt)
Frequency for each term:-
Term 1 is DC -> w₁ = 0
Term 2 -> w₂ = 2000π
Term 3 -> w₃ = 4000π
Maximum signal frequency (wm) = 4000π
Another way of saying this is that X(jw) = 0 for |w| > 4000π
Acc to Sampling theorem ws > 2wm, ws>8000π
So, the Nyquist rate is 8000π
b) x(t) = sin(4000πt) / πt
Using Fourier Transport table, we have X(jw) = 1 for |w| < 4000π
.0 for |w| > 4000π
Therefore, maximum signal frequency (wm) = 4000π
Acc to the sampling theorem ws > 2wm, ws > 8000π
c) x(t) = {sin(4000πt) / πt}²
We can rewrite the above function as x(t) = x₁(t) x₁(t), where,
x₁(t) = sin(4000πt) / πt
Using the convolution property X(jw) = (1/2π)X₁(jw) * X₁(jw)
We know that convolving a signal with itself will double the maximum frequency therefore:
Therefore, maximum signal frequency (wm) = 8000π
Acc to the sampling theorem ws > 2wm, ws > 16000π
Therefore, the frequency to determine the Nyquist rate is 16000π.
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I need help asap it’s due today
For this experiment on a solar collector, the variables include the following:
Time TemperaturePlastic wrapBlack plasticWhat are the variables?In Science, a variable can be defined as a measurable attribute or physical quantity that changes or varies across an experiment and as such can take on different numerical values.
For this experiment on a solar collector, there are different variables and these include the following:
Time TemperaturePlastic wrapBlack plasticFurthermore, you should determine both the greatest and smallest rate of temperature change for each of the trials by subtracting the initial temperature from the final temperature based on the numerical values obtained from this experiment.
In conclusion, the trial with the greatest numerical value has the greatest rate of temperature change while the trial with the smallest numerical value has the smallest rate of temperature change
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Complete Question:
1. What are the variables in this investigation?
2. Which trial had the greatest rate of temperature change?
3. Which trial had the smallest rate of temperature change?
the heart produces a weak magnetic field that can be used to diagnose certain heart problems. it is a dipole field produced by a current loop in the outer layers of the heart. part a it is estimated that the field at the center of the heart is 90 pt . what current must circulate around a 12- cm -diameter loop, about the size of a human heart, to produce this field? express your answer with the appropriate units.
A current of 0.68 A must circulate around a 12- cm -diameter loop, about the size of a human heart, to produce this field.
To calculate the current needed to produce a magnetic field of 90 pt at the center of a 12-cm-diameter loop, we can use the formula for magnetic field strength at the center of a current loop:
B = (μ₀ * I * R²) / (2 * \((R² + d²)^{3/2}\))
where B is the magnetic field strength, I is the current, R is the radius of the loop, d is the distance from the center of the loop to the point where the field is measured, and μ₀ is the permeability of free space.
Assuming that the distance from the center of the loop to the center of the heart is negligible compared to the radius of the loop, we can simplify this formula to:
B = (μ₀ * I) / (2 * R)
Solving for I, we get:
I = (2 * R * B) / μ₀
Substituting the given values, we get:
I = (2 * 0.12 m * 90 pt) / (4π * \(10^{-7}\) T·m/A)
I = 0.68 A
Therefore, a current of approximately 0.68 A must circulate around a 12-cm-diameter loop to produce a magnetic field of 90 pt at the center of the loop, which is about the size of a human heart.
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what is the energy of a radio photon from the same station? express your answer to three significant figures and include the appropriate units. e
The energy of the wavelength of the photon is 258 m.
Given:
f = 1160 kHz = 1160 x 10³ Hz
The velocity is c = 3 x 10⁸ m/s, the velocity of light (approximately).
The reflectance curve for a white piece of paper would reflect Long, medium and short wavelengths equally.
white piece paper serves as perfectly reflective surfaces and reflects all the incident radiations without any absorbtion or transmission. Hence a white piece of paper would reflect Long, medium and short wavelengths equally.
ultra violet rays has larger wavelength than radio waves.
As we know that the energy is inversely proportional to the wavelength.
The energy of radio waves is more than the energy of ultra violet waves.
Energy of ultra violet photons < Energy of radio waves
Wavelength of ultra violet photons > Wavelength of radio waves
Wavelength(lambda) is the distance between one peak to the next peak or one trough to another trough parallel to the direction of propagation.
Calculate the wavelength, λ.
V = f λ
V is the speed
F is the frequency
F λ is wavelength
c = fλ
λ = c/f = (3 x 10⁸ m/s)/(1160 x 10³ 1/s) = 258 m
Therefore the energy of the wavelength of the photon is 258 m.
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[NOTE: THIS QUESTION IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: What is the wavelength of a radio photon from an "am" radio station that broadcasts at 1160 kilohertz? What is its energy?]
what is the half-life of lithium-8 if the decay constant is 0.825/s? what is the half-life of lithium-8 if the decay constant is 0.825/s? A. 0.572s B. 2.42s
C. 1.19s
D. 0.840s
0.840s is the half-life of lithium-8 if the decay constant is 0.825/s. The decay constant is unique to each radioactive substance and measures the speed of radioactive decay. Therefore, the correct answer is option D.
The half-life of lithium-8 can be calculated using the formula:
\(t1/2 = ln(2) / \lambda\)
Where t1/2 is the half-life, ln is the natural logarithm, and λ is the decay constant. Substituting the given decay constant of 0.825/s into the formula:
t1/2 = ln(2) / 0.825/s
t1/2 ≈ 0.840s
Therefore, the half-life of lithium-8 is approximately 0.840s. The formula for half-life is a fundamental concept in nuclear physics, which determines the time required for a radioactive substance to decay by half of its original quantity. The decay constant, which is specific to each radioactive substance, measures the rate at which radioactive decay occurs.
The higher the decay constant, the shorter the half-life, indicating that the substance is more unstable and decays faster. In this case, the decay constant of lithium-8 is 0.825/s, indicating that it is relatively unstable and has a short half-life of approximately 0.840s.
In summary, the half-life of lithium-8 is approximately 0.840s with a decay constant of 0.825/s. Therefore, the correct answer is option D.
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Answer question in photo
The kinetic energy of this roller coaster car that is moving at the given velocity can be found to be 40, 924. 72 J.
How to find the kinetic energy ?The formula: gives the kinetic energy (KE) of a moving item.
KE = ( 1 / 2 ) mv ²
Where m is the object's mass and v is its speed.
In this instance, the roller coaster car has a mass of 311.11 kg and a velocity of 16.22 m/s. When these values are added to the formula, we obtain:
KE = ( 1 / 2 ) ( 311.11 kg )( 16.22 m/s) ²
KE = (0.5) (311.11 kg) ( 263. 02 m ² /s ²)
KE = 40, 914. 08 joules (J)
In conclusion, the kinetic energy is 40, 914. 08 joules.
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URGENT: write a simple equation relating the frequency (f) of a wave to its period (T)
Answer:
f(x) = mx + b
Explanation:
A coffee maker has a power rating of 1.4 kW. How much energy will this coffee maker transfer every second?
Answer:
The power rating of the coffee maker is 1.4 kW, which means that it uses 1.4 kilowatts of power when it is in operation. To find out how much energy it will transfer every second, we can use the formula:
Energy transferred = Power × Time
Since we want to know the energy transferred every second, we can set the time to 1 second. Therefore:
Energy transferred per second = Power × 1 second
Energy transferred per second = 1.4 kW × 1 second
We can simplify this by converting the unit of power from kilowatts to watts:
Energy transferred per second = 1,400 watts × 1 second
Energy transferred per second = 1,400 joules
Therefore, the coffee maker will transfer 1,400 joules of energy every second.
The graph above shows the motion of two runners in a race. Which runner was moving faster? How do you know?
A
Kathy is moving faster because the slope of her line is steeper.
B
Rachel is moving faster because the slope of her line is steeper.
C
Kathy is moving faster because the slope of her line is less steep.
D
Rachel is moving faster because the slope of her line is less steep.
Based on the data, we can infer that Rachel is moving faster because the slope of her line is steeper (option B).
How to identify the runner who was going faster?To identify the runner who was going faster we must take into account the information in the graph. In this case, Rachel's line shows that she has covered more distance in less time than Kathy.
Therefore, Rachel's line is steeper than Kathy's. In this case, Kathy has taken about 70 minutes to cover 7 kilometers. While Rachel has taken 50 minutes to travel about 90 km.
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identify the type of each genetic disorder this is science
Cystic fibrosis is a recessive genetic disorder caused by a mutation in the CFTR gene. It affects the lungs, pancreas, and other organs, causing difficulties in breathing and digestive problems.
Hemophilia is an X-linked recessive genetic disorder that affects blood clotting due to mutations in clotting factor genes. Hemophilia A is caused by a mutation in the F8 gene while hemophilia B is caused by a mutation in the F9 gene.
Duchenne muscular dystrophy is an X-linked recessive genetic disorder caused by mutations in the DMD gene, which codes for a protein called dystrophin. It affects muscle function and leads to muscle weakness and wasting.
Huntington's disease is an autosomal dominant genetic disorder caused by a mutation in the HTT gene. It affects brain function, leading to psychiatric symptoms and movement problems.
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Cystic fibrosis - autosomal recessive pattern, Hemophilia - X-linked recessive pattern, Duchenne muscular dystrophy - X-linked recessive pattern and Huntington's disease - autosomal dominant pattern.
Can genetic conditions be treated?Gene alterations that are essentially present in every cell in the body cause many hereditary diseases. These illnesses thus frequently impact many bodily systems, and the majority cannot be treated. To treat or manage some of the accompanying symptoms, there might be methods available.
An X-linked recessive pattern: what is it?Genetic disorders connected to mutations in genes on the X chromosome are referred to as having X-linked recessive inheritance. Because he contains just one X chromosome, a male who carries this mutation will be affected. A female who carries a gene mutation in one X chromosome but has a normal gene on the other X chromosome usually has no symptoms.
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a car slows down from 50.0m/s to 20.0m/s in 60s what is the acceleration
Answer:
-2m/s^2
Explanation:
final velocity = 20m/s
initial velocity = 50 m/s
time taken = 60 s
20-50=30m/s
30/60 = -2
a lapidary cuts a diamond so that the light will refract at an angle of 17.0° to the normal. what is the index of refraction of the diamond when the angle of incidence is 45.0°?
The index of refraction of air, which is approximately 1.000: n_(2) = (1.000 × sin(45.0°)) / sin(17.0°). This expression will give us the index of refraction of the diamond.
To calculate the index of refraction of the diamond, we can use Snell's law, which relates the angles of incidence and refraction to the indices of refraction of the two media involved. Snell's law can be expressed as follows:
n1 × sin(θ_(1)) = n2 × sin(θ_(2))
where:
n_(1) is the index of refraction of the initial medium (in this case, air),
θ_(1) is the angle of incidence,
n_(2) is the index of refraction of the second medium (in this case, diamond),
θ_(2) is the angle of refraction.
We can rearrange the equation to solve for the index of refraction of the diamond, n_(2):
n_(2) = (n_(1) × sin(θ_(1))) / sin(θ_(2))
Given that the angle of incidence θ_(1) is 45.0° and the angle of refraction θ_(2) is 17.0°, we can substitute these values into the equation along with the index of refraction of air, which is approximately 1.000:
n_(2) = (1.000 × sin(45.0°)) / sin(17.0°)
This expression will give us the index of refraction of the diamond.
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PLS HELP BEING TIMED!!!!
How is the distance from the sun for planets in our
solar system related to the mean temperature of each
planet? To find out, scatterplots that relate the
distance of each planet (including Pluto) from the sun
in millions of miles and the mean planetary
temperature in Kelvin were created. Some of the
scatterplots use the natural log to transform one, or
both, of the variables.
The distance from the sun for planets in our solar system is related to the mean temperature of each planet. By analyzing scatterplots that relate these variables,
The relationship between the distance from the sun and the mean temperature of each planet in our solar system can provide insights into the influence of solar radiation on planetary temperatures. Scatterplots are useful tools for visualizing this relationship.
By examining the scatterplots that relate the distance of each planet from the sun (measured in millions of miles) and the mean planetary temperature (measured in Kelvin), we can observe any patterns or correlations between these variables.
The distance of a planet from the sun plays a crucial role in determining the amount of solar radiation it receives. Planets that are closer to the sun generally receive more intense sunlight, leading to higher temperatures. Conversely, planets that are farther away from the sun receive less solar radiation and tend to have lower temperatures.
Scatterplots can reveal the nature of the relationship between distance and temperature. If the scatterplot shows a positive correlation, where an increase in distance is associated with a decrease in temperature, it suggests that the planets farther from the sun tend to have lower temperatures. On the other hand, if the scatterplot shows a negative correlation, where an increase in distance is associated with an increase in temperature, it suggests that the planets closer to the sun tend to have higher temperatures.
The use of the natural logarithm (ln) as a transformation in the scatterplot can help reveal any nonlinear relationships between the variables. It can enhance our understanding of how changes in distance from the sun affect the mean temperature of the planets.
In summary, the distance from the sun for planets in our solar system is related to the mean temperature of each planet. By analyzing scatterplots that relate these variables, we can observe patterns and correlations that provide insights into the influence of solar radiation on planetary temperatures. The use of natural logarithm transformations can help reveal nonlinear relationships in the data.
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Levi decides to examine the effect of fertilizer on the growth of tomato plants. He chooses four plants for his experiment and applies varying amounts of fertilizer to three of them. He does not apply fertilizer to one plant.
Over a 15-day period, the plants receive fertilizer on Days 1, 4, 7, 10, and 13. Levi measures the height of all of his plants with a meter stick on days 3, 6, 9, 12, and 15. He also makes sure to hold all experimental factors constant except for the fertilizer.
Where should the independent and dependent variables of Levi's experiment be placed when graphed?
Select all that apply.
the amount of fertilizer; y-axis
plant height; y-axis
the amount of fertilizer; x-axis
plant height; x-axis
Explanation:
Over a 15-day period, the plants receive fertilizer on Days 1, 4, 7, 10, and 13.
Levi measures the height of all of his plants with a meter stick on days 3, 6, 9, 12, and 15.
Independent variable is the amount of fertilizers given to the plants. The height of the plant depends on the amount of the fertilizers. It is the dependent variable.
On x-axis : The amount of fertilizer
On y -axis : Plant height
A student hears a police siren. What would change the frequency that the student hears? check all that apply.
Considering the Doppler efect, the frequency heard by the student would change if:
if the student walked toward the police car.if the student walked away from the police car.if the police car moved toward the student.if the police car moved away from the student.Doppler effectThe Doppler effect is defined as the change in the apparent frequency of a wave produced by the relative motion of the source with respect to its observer. In other words, this effect is the change in the perceived frequency of any wave motion when the sender and receiver, or observer, move relative to each other.
In summary, there is always a change in the frequency of sound as the source of the sound moves towards or away from the observer. So, the Doppler Effect is an alteration of the observed frequency of a sound due to the movement of the source or the observer, that is, they are changes in the frequency and wavelength of a wave due to the relative movement between the wave source and the observer.
Changes on the frequencyIn this case, considering the Doppler effect, the frequency heard by the student would change if:
if the student walked toward the police car.if the student walked away from the police car.if the police car moved toward the student.if the police car moved away from the student.Learn more about Doppler effect:
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an airplane undergoes the following displacements: first, it flies 66 km in a direction 30° east of north. next, it flies 49 km due south. finally, it flies 100 km 30° north of west. using vector components, determine how far the airplane ends up from its starting point. an airplane undergoes the following displacements: first, it flies 66 km in a direction 30° east of north. next, it flies 49 km due south. finally, it flies 100 km 30° north of west. using vector components, determine how far the airplane ends up from its starting point. 76 km 82 km 79 km 78 km 81 km
The airplane ends up approximately 126.17 km from its starting point.
To determine how far the airplane ends up from its starting point, we can use vector components.
First, let's break down the given displacements into their x and y components.
For the displacement of 66 km in a direction 30° east of north, the x component is given by 66 km * sin(30°) = 33 km, and the y component is given by 66 km * cos(30°) = 57 km.
For the displacement of 49 km due south, the x component is 0 km since it is in the north-south direction, and the y component is -49 km since it is in the opposite direction of the positive y-axis.
For the displacement of 100 km 30° north of west, the x component is given by 100 km * sin(30°) = 50 km in the west-east direction, and the y component is given by 100 km * cos(30°) = 87 km in the north-south direction.
Now, let's add up the x and y components separately.
The total x component is 33 km + 0 km + 50 km = 83 km.
The total y component is 57 km - 49 km + 87 km = 95 km.
Finally, we can use the Pythagorean theorem to find the magnitude of the displacement.
The magnitude of the displacement is √(83 km)^2 + (95 km)^2 = √(6889 km^2 + 9025 km^2) = √(15914 km^2) = 126.17 km.
Therefore, the airplane ends up approximately 126.17 km from its starting point.
So, the correct answer is not provided in the options.
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Explain what it means when someone says energy can not be created or destroyed.
Answer:
Energy is always reused. Energy cannot be created or destroyed because it always turns into some other type of energy.
Explanation:
About the energy budgets of planets and satellites, which one of the following statements is not correct?A. On Earth, the absorbed solar energy basically balances the emitted thermal energy.B. On Titan, the absorbed solar energy basically balances the emitted thermal energyC. Jupiter, Saturn, and Neptune have confirmed internal heatD. The energy budgets of Jupiter and Saturn do not vary with time.
Therefore, the energy budgets of Jupiter and Saturn do change with time, making statement D incorrect.
The statement D is not correct. The energy budgets of Jupiter and Saturn do vary with time. Both Jupiter and Saturn radiate more energy than they receive from the Sun. The excess energy emitted is believed to originate from their internal heat sources.
This internal heat is generated by the slow contraction of the planets over time, releasing gravitational potential energy. The energy budgets of these gas giants are dynamic and evolve as their internal heat sources gradually diminish over billions of years.
Therefore, the energy budgets of Jupiter and Saturn do change with time, making statement D incorrect.
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Score for Question 2: of 8 points)
2. A 10.00 resistor is hooked up in series with an 8.0 Q resistor followed by a 27.0 resistor. The circuit is
powered by a 9.0 V battery
(a) Draw a labeled circuit diagram for the circuit described.
(b) Calculate the equivalent resistance
I
(c) Calculate the voltage drop across each resistor in the circuit.
Answer:
(a) Circuit diagram:
---|---10.00Ω---|---8.0Ω---|---27.0Ω---|
| |
=== ===
| |
------------------------------------------
Battery
9.0V
(b) The equivalent resistance of the circuit is the sum of the resistances of each resistor, since they are connected in series:
Req = R1 + R2 + R3 = 10.00 Ω + 8.0 Ω + 27.0 Ω = 45.0 Ω
(c) To find the voltage drop across each resistor, we can use Ohm's law:
V = I * R
where V is the voltage drop, I is the current, and R is the resistance of the resistor.
Since the resistors are connected in series, the current is the same through all of them, and we can find it using Ohm's law and the equivalent resistance.
I = V / Req = 9.0 V / 45.0 Ω = 0.2 A
Now we can find the voltage drop across each resistor:
V1 = I * R1 = 0.2 A * 10.00 Ω = 2.0 V
V2 = I * R2 = 0.2 A * 8.0 Ω = 1.6 V
V3 = I * R3 = 0.2 A * 27.0 Ω = 5.4 V
Therefore, the voltage drop across the 10.00 Ω resistor is 2.0 V, the voltage drop across the 8.0 Ω resistor is 1.6 V, and the voltage drop across the 27.0 Ω resistor is 5.4 V.
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a boulder is launched upwards from the ground with an initial velocity of 20 feet/sec. find the velocity at 4 seconds
The velocity of a boulder coefficient upward from the ground with an initial velocity of 20 feet/sec is to be calculated at 4 seconds.
The acceleration due to gravity on earth is 32.2 feet/sec². The initial velocity of the boulder, u = 20 feet/sec Acceleration due to gravity, a = -32.2 feet/sec² (negative as it is directed downward)Time elapsed, t = 4 secondsWe need to find the velocity of the boulder, v
Final velocity of the boulder, Using the above formula: v = u + a × tv = 20 + (-32.2) × 4v = 20 - 128.8v = -108.8 feet/secTherefore, the velocity of the boulder at 4 seconds is -108.8 feet/sec.
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In order to calculate a planet's orbital period, we must know the Choose one: A. tilt of the planet's axis B. radius of the planet. C. dimensions of its orbit. D. velocity of the planet.
In order to calculate a planet's orbital period, we must know the dimensions of its orbit. The correct answer is C.
To calculate a planet's orbital period, we need to know the dimensions of its orbit, specifically the semi-major axis. The semi-major axis is the average distance between the planet and its parent star (assuming a circular or nearly circular orbit). The orbital period of a planet is determined by its distance from the star and the mass of the star.
The tilt of the planet's axis (option A) affects the planet's seasons but does not directly impact its orbital period. The radius of the planet (option B) is not directly related to its orbital period either. The velocity of the planet (option D) can vary along its orbit, but it is not sufficient on its own to calculate the orbital period. Hence the correct answer is C.
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How to find kinetic energy with force, mass, and distance
Answer:
Explanation:
Set the equations for work and kinetic energy equal to each other. Work equals force times distance and kinetic energy equals one-half the mass of the object times its velocity squared, so F_d = (m_ ÷ _2)_v2. Substitute the measurements for force, distance and mass into the equation.
The energy an object has as a result of motion is known as kinetic energy.
What is Kinetic energy?A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force.
After the work is finished, energy is transferred to the item, which then moves at a new, constant speed. Kinetic energy is the type of energy that is transferred and is dependent on the mass and speed attained.
The square of the object's velocity determines the kinetic energy. In other words, when an object's velocity twice, its kinetic energy quadruples.
Therefore, The energy an object has as a result of motion is known as kinetic energy.
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