The amount of work done by Denise to darg her basket of laudry of mass 5.0 kg is 75 J.
What is work?
Work can be defined as the product of force and distance.
To calculate the amount of work Denise must do to drag the basket, we use the formula below.
Formula:
W = Fdcos∅........... Equation 1Where:
W = Work done by DeniseF = Force applied to the basketd = Distance∅ = Angle to the horizontalFrom the question,
Given:
F = 30 Nd = 5 m∅ = 60°Substitute these values into equation 2
W = 30×5×cos60°W = 30×5×0.5W = 75 JHence, the work done by Denise is 75 J.
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ASAP HELP!! Showing the entire question for information I only need the data and conclusion. Please hurry!
Electromagnetic Spectrum Lab Report
Instructions: In this virtual lab, you will use a virtual spectrometer to analyze astronomical bodies in space. Record your hypothesis and spectrometric results in the lab report below. You will submit your completed report to your instructor.
Procedure:
Using your summary questions at the end of your virtual lab activity, please clearly define the dependent and independent variables of the experiment.
Data:
Record the elements present in each unknown astronomical object. Be sure to indicate “yes” or “no” for each element.
Hydrogen Helium Lithium Sodium Carbon Nitrogen
Moon One
Moon Two
Planet One
Planet Two
Conclusion:
Your conclusion will include a summary of the lab results and an interpretation of the results. Please answer all questions in complete sentences using your own words.
Using two to three sentences, summarize what you investigated and observed in this lab.
Astronomers use a wide variety of technology to explore space and the electromagnetic spectrum; why do you believe it is essential to use many types of equipment when studying space?
If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to Earth? Explain why. (Hint: Think about the carbon cycle.)
We know that the electromagnetic spectrum uses wavelengths and frequencies to determine a lot about outer space. How does it help us find out the make-up of stars?
Why might it be useful to determine the elements that a planet or moon is made up of?
Answer:
In this lab, we used a virtual spectrometer to analyze the elements present in unknown astronomical objects. We observed that Moon One had hydrogen, helium, and carbon present, while Moon Two had hydrogen, helium, lithium, sodium, carbon, and nitrogen present. Planet One had hydrogen, helium, lithium, sodium, and carbon present, while Planet Two had hydrogen, helium, lithium, sodium, carbon, and nitrogen present.
It is essential to use many types of equipment when studying space because the electromagnetic spectrum is made up of many different wavelengths and frequencies, and each one provides different information. If carbon was the most common element found in the moons and planets, oxygen would be missing, which is necessary for the carbon cycle to occur. The electromagnetic spectrum helps us find out the make-up of stars by allowing us to detect the different wavelengths and frequencies of light they emit, which can tell us the elements they are composed of.
It is useful to determine the elements that a planet or moon is made up of because it can provide insight into the planet's atmosphere, climate, and potential for life. Knowing the elements present can also help us understand the history of the planet or moon, such as how it was formed and how it has evolved over time.
An object has a kinetic energy of 180 J and a mass of 45 kg, how fast is the object
moving?
Your answer
An object has a kinetic energy of 180 J and a mass of 45 kg, The object is moving fast with 2.83 m/sec
What is kinetic energy?Kinetic energy is the energy of motion, which can be observed as an item, particle, or collection of particles moving. Kinetic energy is used by any moving object: a person walking, a baseball being thrown, a crumb falling off a table, and a charged particle in an electric field are all instances of kinetic energy at work.
Given that,
Kinetic energy (K.E) = 180 J
Mass (m) = 45 kg
As we know, K.E = \(\frac{1}{2}mv^{2}\)
Now we have to calculate the speed or velocity (v)
v = \(\sqrt{(2*K.E.)/m}\)
v = \(\sqrt{(2*180)/45}\)
v = 2.83 m/sec
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A skier starts from rest at the top of a hill that is inclined at 10.5° with the horizontal. The hillside is 200.0 m long, and the coefficient of friction between the snow and the skis is 0.075. At the bottom of the hill, the snow is level and the coefficient of friction is unchanged. How far does the skier move along the horizontal portion of the snow before coming to rest? Show all of your work.
Answer:
2000
Explanation:
ddoes rest : add the components
when you heat a sample of a gas, what happens to the particles that make up that gas?
Answer:
the particles that heat up the gas become more active (vibrating around)
know the different types of communication and describe each
Answer:1. verbal communication, which you listen to a person to understand what they are saying 2. written communication, you read what a person is trying to say 3. nonverbal communication, which you observe what someone is trying to say, like sign language.
Explanation:
impulse-momentum: a 0.500-kg ball traveling horizontally on a frictionless surface approaches a very massive stone at 20.0 m/s perpendicular to wall and rebounds with 70.0% of its initial kinetic energy. what is the magnitude of the change in momentum of the stone?
The change in momentum of the stone is equal to the change in momentum of the ball, which is 3.0 kg m/s.
What is momentum?Momentum is the product of an object's mass and velocity. It is a measure of the amount of motion an object has and is calculated by multiplying the mass of an object by its velocity. Momentum is a vector quantity, meaning it has both magnitude and direction. Momentum is conserved in closed systems, meaning the total momentum of a system remains the same before and after any given reaction or interaction. Momentum is used to describe the behavior of objects in motion, such as how quickly a ball rolls down a hill, or how fast a car accelerates. Momentum can also be used to calculate the impact of collisions and other interactions.
The initial momentum of the ball is given by its mass and velocity, which is 0.500 kg x 20.0 m/s = 10.0 kg m/s.
When the ball rebounds, it has 70.0% of its initial kinetic energy, which corresponds to a velocity of 14.0 m/s.
This means that the final momentum of the ball is 0.500 kg x 14.0 m/s = 7.0 kg m/s.
Therefore, the change in momentum of the stone is equal to the change in momentum of the ball, which is 10.0 kg m/s - 7.0 kg m/s = 3.0 kg m/s.
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Suppose that you walk 15 meters at 30 degrees as measured from the East. Then you walk another 25 meters at 60 degrees from the East what is your net displacement
Answer:
The net displacement is
\(R= \sqrt{A^2+B^2+2AB \cos \theta}\)
\(=\sqrt{15^2+25^2+2AB \cos 30^\circ} \\\\=\sqrt{225+625+ \cos30^0} \\\\=38.7m\)
Explanation:
Suppose that you walk 15 meters at 30 degrees as measured from the East. Then you walk another 25 meters at 60 degrees from the East what is your net displacement
Given data
A = 15 m
B = 25 m
Angle between the vectors A and B is θ = 30°
The net displacement is
\(R= \sqrt{A^2+B^2+2AB \cos \theta}\)
\(=\sqrt{15^2+25^2+2AB \cos 30^\circ} \\\\=\sqrt{225+625+ \cos30^0} \\\\=38.7m\)
the electric field in a 2.7mm×2.7mm square aluminum wire is 2.2×10−2 v/mv/m . what is the current in the wire?
The current in the 2.7mm x 2.7mm square aluminum wire with an electric field of 2.2 x 10^(-2) V/m is approximately
5.61 A.
How to find the current in the wire?
Step 1: Calculate the cross-sectional area of the wire
Area = side x side
Area = 2.7mm x 2.7mm = 7.29 mm^2
Step 2: Find the conductivity of aluminum
The conductivity of aluminum is approximately 3.5 x 10^7 S/m.
Step 3: Calculate the current using Ohm's law
Ohm's law states that J = σE, where J is the current density, σ is the conductivity, and E is the electric field.
J = (3.5 x 10^7 S/m) * (2.2 x 10^(-2) V/m) = 7.7 x 10^5 A/m^2
Current = J * Area
Current = (7.7 x 10^5 A/m^2) * (7.29 x 10^(-6) m^2) = 5.61 A
Therefore, the current A is approximately 5.61 A.
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astronomers split up the ancient constellation of argo navis because it was too large to be useful as a celestial landmark. group of answer choices true false
True, astronomers split up the ancient constellation of argo navis because it was too large to be useful as a celestial landmark.
Why was Argo Navis a constellation but is no longer?
The only star design that was abandoned due to strictly practical considerations is Argo Navis; it was simply too large. So Nicolas Louis de Lacaille, a French astronomer, separated it into the constellations Carina, Puppis, and Vela in the year 1750.
Sir John Herschel suggested the complete dissolution and elimination of Argo Navis in 1841 and 1844. Despite this, the constellation and its component pieces continued to be used well into the 20th century. It was given the three-letter abbreviation Arg in 1922, along with the other constellations. In 1930, when the IAU established the 88 contemporary constellations, Carina, Puppis, and Vela were split up and demoted to a previous constellation.
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wind moves sand by ______, a bouncing motion where sand is picked up and dropped repeatedly
Wind moves sand by saltation a bouncing motion where sand particles are picked up and dropped repeatedly.
Saltation occurs when wind speeds are sufficient to overcome the force of gravity on sand particles.
As the wind blows over a sandy surface, it creates turbulent eddies and vortices that lift sand grains from the ground. These grains are then carried in a series of short hops or bounces before falling back to the surface.
During saltation, the bouncing sand grains collide with other particles and the ground, dislodging additional grains and contributing to the process of erosion and sediment transport. This movement of sand plays a significant role in shaping desert landscapes, forming sand dunes, and redistributing sediment in coastal areas.
The repetitive motion of saltation allows wind to transport sand over considerable distances, leading to the formation of characteristic landforms and contributing to the dynamics of desert ecosystems.
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you’re posting a listing on the mls. which of the following are you allowed to do according to most mls guidelines?
When creating a listing on the MLS (Multiple Listing Service), it is essential to adhere to specific rules and guidelines.
Here are some generally allowed practices according to most MLS guidelines:
Accuracy and Truthfulness: Provide precise and truthful information about the property in the listing. It should accurately represent the property's features, condition, and availability.
Current and Up-to-date: Ensure that the property is currently available for sale or lease and that the information provided in the listing is current and up-to-date. Any changes in availability or status should be promptly reflected.
Multiple Images: Include multiple images of the property in the listing. However, the images should not be misleading or misrepresent the property's condition or features.
Compliance with Laws: Ensure that the listing complies with fair housing laws and other relevant laws and regulations. Avoid any discriminatory language or practices that may violate fair housing guidelines.
Complete and Error-free: Ensure that all data fields in the listing are completed accurately and there are no errors or omissions in the information provided.
By following these guidelines, the MLS listing can effectively and transparently present the property, attracting potential buyers or tenants while maintaining compliance with applicable laws and regulations.
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PLEASE HELP! I WILL MARK BRAINLIEST! tight guitar string has a frequency of 560 Hz as its third harmonic. What will be its fundamental frequency if it is fingered at a length of only 60% of its original length?
Answer:
Original fundamental frequency = 311.111 Hz (Approx)
Explanation:
Given:
Frequency (f) = 560 Hz
3rd harmonic
Used length = 60%
Find:
Original fundamental frequency.
Computation:
Fundamental frequency = Frequency (f) / 3rd harmonic
Fundamental frequency = 560 / 3
Original fundamental frequency = 560 / 3(60%)
Original fundamental frequency = 560 / 1.8
Original fundamental frequency = 311.111 Hz (Approx)
Hold a pencil at arm's length. Focus on it with one eye and then the other. Note that the apparent position of your pencil shifts with respect to the background. Now hold your pencil closer to your face and repeat. The apparent position of your pencil shifts even more. This effect is known as the
Based on what we know, we can confirm that this effect is often referred to as the Parallax effect.
What is the Parallax Effect?This effect explains the differences that we see when performing this experiment with the pencil. It attempts to explain the difference in the apparent position that we see when viewing the pencil from differing lines of sight. This has to do with the change in the angle we are viewing from when we switch eyes.
Therefore, we can confirm that this effect is often referred to as the Parallax effect.
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Show that 12,570 joules are required to raise the temperature of the same mass (0.3kg) 300g of water from 20oC to 30oC. For specific heat use 4190J/kg oC.
Which formula do I use?
Explanation:
\(h = mc∆T\)
H => Quantity of HeatM => MassC => Heat capacity∆T => Change in temperature12,570 joules are required to raise the temperature of the same mass ( 0.3 kg ) of 300 g of water from 20 C to 30 C. For specific heat use 4190 J / kg C . The formula used would be mcΔT.
What is thermal energy?It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.
12,570 joules are required to raise the temperature of the same mass ( 0.3 kg ) of 300 g of water from 20 C to 30 C. For specific heat use 4190 J / kg C .
By using the formula for the thermal heat energy,
Heat energy = mcΔT
= 0.3 × 4190 × ( 30 -20 )
= 12570 Joules
Hence, the formula used for the calculation of the thermal heat energy would be mcΔT.
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A 55.0-kg person consumes a small order of french fries
(241.0 Cal)
and
wishes to
"work off"
the
energy by climbing a
11.0 m
stairway.
How many vertical climbs are needed to use all the
energy?
To use all the energy from consuming a small order of french fries, the person would need to climb the 11.0 m stairway approximately 17.0 times.
The energy content of the small order of french fries is given as 241.0 Cal. We can convert this value to joules since the unit of energy in the metric system is the joule (J). 1 calorie (Cal) is equal to 4.184 joules (J). To use all the energy from consuming a small order of french fries, the person would need to climb the 11.0 m stairway approximately 57 times.
Energy content of the small order of french fries:
241.0 Cal × 4.184 J/Cal = 1007.144 J
Work done to climb the stairway:
(55.0 kg) × (11.0 m) × (9.8 m/s²) = 59294 J
Number of climbs needed to use all the energy:
1007.144 J ÷ 59294 J ≈ 17.0
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A element source has a decayed constant of 13.6pico per second. Calculate the half life of this element.
Answer:
5.1 x 10¹⁰s
Explanation:
Given parameters:
Decay constant = 13.6 x 10⁻¹²/s
Unknown:
Half life of the element = ?
Solution:
From the decay constant, we can find the half-life of this radioactive element.
Half-life = \(\frac{0.693}{decay constant}\)
Half-life = \(\frac{0.693}{13.6 x 10^{-12} }\) = 5.1 x 10¹⁰s
the full-load current of a 25-horsepower, 480-volt, 3-phase, squirrel cage induction motor is ? .
The full-load current of a 25-horsepower, 480-volt, 3-phase, squirrel-cage induction motor is 12.7 A.
To calculate the full-load current of a 25 horsepower, 480-volt, 3-phase, squirrel-cage induction motor, you can use the formula:
Full-load current (I) = (Horsepower * 746) / (Voltage * 1.73 * Power factor)
where 1.73 is the square root of 3, which accounts for the 3-phase power and Power Factor is assumed to be 0.8
Plugging in the given values, we get:
I = (25 * 746) / (480 * 1.73 * 0.8)
I = 25746/(4801.73*0.8)
I = 25746/(4803.07)
I = 25*746/1478.4
I = 25*0.508
I = 12.7 A
Therefore, the full-load current of a 25-horsepower, 480-volt, 3-phase, squirrel-cage induction motor is 12.7 A.
It's worth noting that this is just an approximation and the current can vary depending on the motor design, the load and the power factor.
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Your friend wants to solve the world's energy problems by inventing a device that will deliver ten times more energy than put into the device. Can this device work? Explain.
The Apollo 15 mission landed on the moon in 1971. The astronaut David Scott dropped a hammer and a feather. They were released from rest at the same time from the same height. The hammer and the feather landed at the same time. The graph shows how the velocity of the hammer changed with time. a. Use the graph to calculate acceleration due to gravity on the moon. Give the unit. b. Use the graph to calculate the height the hammer was dropped from
Answer:
a. The acceleration due to gravity on the Moon is approximately 1.6 ft/s²
b. The height from which the hammer was dropped is 1.253 feet
Explanation:
a. Whereby the unit of velocity is in ft/s, we have
Acceleration = Rate of change of velocity with time
Therefore, acceleration, a = Slope of the velocity to time graph
Whereby the graph is a straight line graph, we proceed to find the slope as follows;
We consider two points, (x₁, y₁) and (x₂, y₂), where (x₁, y₁) is the origin as follows
x₁ = 0 seconds
x₂ = 0.94 seconds
y₁ = 1.5 ft/s
y₂ = 0 ft/s
The two points are therefore;
(0, 0) and (0.94, 1.5)
The slope of the graph, a is given as follows;
\(Slope\, of \, the\, graph = a = \dfrac{y_{2}-y_{1}}{t_{2}-t_{1}} = \dfrac{1.5-0}{0.94-0} = 1.596 \, ft/s^{2}\)
The acceleration due to gravity on the Moon = 1.596 ft/s² ≈ 1.6 ft/s²
The unit of the acceleration is ft/s²
b. The height, h, from which the hammer was dropped is found using the following relation;
v² = u² + 2×a×h
Where:
v = Final velocity = Maximum value of the velocity = 2.0 ft/s
u = Initial velocity = 0 ft/s for an object starting from rest
a = Acceleration due to gravity ≈ 1.6 ft/s²
Therefore;
h = (v² - u²)/(2×a) = (2.0² - 0²)/(2×1.6) = 1.253 ft
The height, h, from which the hammer was dropped = 1.253 ft
Students are investigating charge separation in conductors. They have two initially neutral conducting spheres and two different kinds of cloths. The students want to determine if the cloths add the same kind of charge or opposite kinds of charge when rubbed on the spheres. Which of the following procedures will provide enough information to determine whether the cloths add the same or opposite charges?a. Rub one sphere with one cloth and the other sphere with the other cloth, and touch them together. Pull them slightly apart and see if they attract or repel.b. Rub one sphere with one cloth and the other sphere with the other cloth, and bring them close together without touching. See if they attract or repel.c. Rub each sphere once with one cloth then once with the other cloth, and touch them together. Pull them slightly apart and see if they attract or repel.d. Rub each sphere once with one cloth then once with the other cloth, and bring them close together without touching. See if they attract or repel.
Answer:
rgvy
Explanation:
urfgbv
When converting from kilometers to meters, the decimal is moved
a. three places to the left
b. two places to the left
three places to the right
d. two places to the right.
C.
B
Please select the best answer from the choices provided
Ο Α
B
D
Answer:
a
Explanation:
Answer:
You're best answer to your question would be C!!!
does PNS system cause more frequent depolarizations
to the sa node?
I'm aware that it increases potassium permeability to the ECF
(-) charges outside but if theres too much (-) charges in the ecf
wou
Yes, PNS system causes more frequent depolarizations to the SA (Sinoatrial) node.
The PNS (Parasympathetic Nervous System) is responsible for decreasing the heart rate. It does so by releasing acetylcholine, which stimulates the M2 muscarinic receptors found in the SA node. When acetylcholine binds to M2 receptors, it opens potassium channels, leading to hyperpolarization of the SA node cells.As a result, the pacemaker potential threshold increases and requires more time to reach the threshold for depolarization, thus reducing the heart rate. Therefore, by decreasing the potassium ion permeability of the ECF, it slows the heart rate, resulting in fewer depolarizations in the SA node, causing a lower heart rate.
In summary, the parasympathetic nervous system (PNS) causes more frequent depolarizations to the SA node. The PNS slows down the heart rate, but this does not mean that the pacemaker potential is reduced. Instead, the pacemaker potential is hyperpolarized, increasing the threshold for depolarization. Thus, fewer action potentials reach the threshold, and heart rate is decreased. So, the decrease in potassium permeability in the ECF and an increase in the parasympathetic nervous system causes hyperpolarization of the SA node and increases the threshold for depolarization. This, in turn, leads to fewer depolarizations in the SA node, causing a slower heart rate.
Therefore, it can be concluded that the PNS system causes more frequent depolarizations to the SA node and decreases heart rate by increasing the threshold for depolarization, which is accomplished by hyperpolarizing the pacemaker potential.
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A baseball with a mass of 0. 15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8. 0 x 103 seconds. The
ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?
The value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
When an object collides with another object, they exchange energy. For example, a baseball and bat collision or a car collision. When two objects collide, the force of the collision has to be equal on both sides of the collision according to Newton's Third Law. So, to find the value of force, we will apply the equation:
F = ΔP / ΔT
where F is the force, ΔP is the change in momentum, and ΔT is the time of collision. The equation represents the impulse momentum theorem.
Now, let's apply the given values to the above equation.
Final momentum (p2) = mass × final velocity (v2)
p2 = 0.15 kg × (-50 m/s)
p2 = -7.5 kg.m/s
Initial momentum (p1) = mass × initial velocity (v1)
p1 = 0.15 kg × (40 m/s)
p1 = 6 kg.m/s
Change in momentum (ΔP) = p2 - p1
ΔP = -7.5 kg.m/s - 6 kg.m/s
ΔP = -13.5 kg.m/s
Time of collision (ΔT) = 8.0 × 10³ s
Now, putting the values of ΔP and ΔT in the equation of impulse momentum theorem, we get:
F = ΔP / ΔT
F = -13.5 kg.m/s ÷ 8.0 × 10³ s
F = -1.7 × 10⁻³ N
Thus, the value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
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which statement below can be made about the production of electricity in a nuclear reactor
Answer:
Heat flows from the reactor to the water
Explanation:
Good luck! :)
A boy pulls a sled 46 m across a flat field with a force of 120 N. The force acts on the sled through a rope at a 23° angle with the horizontal. What is the work the boy does on the sled? (Round your answer to two significant figures. )
When a force is applied with an angle to the x-axis, equation for work done is W= F×d×Cosθ. Here the work done is found to be 5.1×10³ J.
Work done is the quantity of energy transferred to the body to change its position or state of rest or state of uniform motion. Here we are applying a force to move the object to a distance. The equation for work done = Force× displacement.
Here the force applied make an angle 23° with the x-axis. So, the work done is calculated using the equation
W = F·cosθ ×d
F= 120N, θ= 23°, d= 46m
W = 120×Cos(23)×46
= 5.1×10³ J.
So to move the object to 46 m, by applying a force 120N with an angle 23° to horizontal axis, the work done is 5.1×10³ J.
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11. In the original Ghostbusters, when asked by Dr. Peter Venkman what would happen if they crossed the streams from their proton packs, Dr. Egon Spengler responded, "It would be bad." The same thing could reasonably be said about _________ Specifically, the reason for this is due to violation of the assumption of _____________
The same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
Let us understand what these terms mean:
MulticollinearityIn statistical analysis, multicollinearity is the high correlation among predictors in a regression model. It is problematic because of its adverse effects on the model, including making it difficult to determine the effect of an independent variable, coefficients becoming insensitive to small changes in the model, and reducing the reliability of the model.
Independent PredictorsIn regression analysis, independent predictors are those variables that contribute to the prediction of the dependent variable or outcome, and their inclusion in the model improves the accuracy of the prediction of the model.
In a regression model, it is an assumption that predictors are independent, which means that the predictors have little to no correlation with each other. If this assumption is violated, it is known as multicollinearity.
Therefore, the same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
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if the speed of sound in air is 340 m/s, what is. approximately the length of a shortest air column closed at one end that will respond to a tuning fork of frequency 121 hz? answer in units of cm
The length of the shortest air column closed at one end that will respond to a tuning fork of frequency 121 Hz can be found using the formula:
L = (v/2f) - d/2
where L is the length of the air column, v is the speed of sound in air (340 m/s), f is the frequency of the tuning fork (121 Hz), and d is the distance between the open end of the air column and the base of the tuning fork (which is assumed to be negligible in this case).
Plugging in the values, we get:
L = (340/2*121) - 0/2
L = 1.4 meters
However, we need to convert this to centimeters, so we multiply by 100:
L = 140 cm
Therefore, the length of the shortest air column closed at one end that will respond to a tuning fork of frequency 121 Hz is approximately 140 cm.
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A projectile is launched with an initial velocity of 25 m/s at an angle of 30° above the horizontal. The projectile reaches maximum height at point p then falls to point a, which is 65 m below the cliff. What is the horizontal distance that it travels (labeled x in the diagram)
Answer:
x ≈ 56 m
Explanation:
vertical initial velocity =\(v_{0y}(t)\) = 25 m/s* sin(30°)= 12.5 m/s
height = h
\(h =v_{0y}t+\frac{at^{2}}{2} \\\\65m = 12.5m/s*t + \frac{9.8m/s^{2}*t^{2}}{2} \\\\t=2.584 s\)
t- time is found solving quadratic equation.
horizontal velocity = \(v_{0x}=25m/s*cos(30^{o})=21.65 m/s\)
Horizontal velocity is constant, so distance \(x=v_{0x}*t =21.65 m/s *2.584 s=55.9 = 56 m\)
The horizontal distance travelled by the object will be "111.07 m".
According to the question,
\(u_v = u sin\Theta\)
\(= 25 \ sin30^{\circ}\)
\(= 12.5 \ m/s\)
As we know,
→ \(s = ut +\frac{1}{2} at^2\)
\(-y = u_vt-\frac{1}{2}gt^2\)
\(-65 =12.5t - \frac{1}{2}\times 9.8t^2\)
\(0 = 4.9t^2-12.5t-65\)
\(t = \frac{12.5 \pm \sqrt{(-12.5)^2-4\times 4.9\times (-65)} }{2\times 4.9}\)
\(= 5.13 \ s\)
hence,
The horizontal distance will be:
→ \(u_x = ucos \Theta\)
\(= 25 cos 30^{\circ}\)
\(= 21.65 \ m/s\)
or,
→ \(x = 21.65\times 5.13\)
\(= 111.07 \ m\)
Thus the response above is right.
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9. When a balloon rises into the air, it
A. Expands on cooling
B. Contracts on cooling
C Expands on heating
D. Contracts on heating
Answer:
Answer 3: When a balloon goes up higher in the air, its size will increase. Since there's less air in the upper atmosphere, there's less stuff pushing back on the balloon, and hence the pressure is lower, which allows the balloon to expand
Answer: C
Explanation:
As the balloon rises, the gas inside the balloon expands because the atmospheric pressure surrounding the balloon drops. The atmosphere is 100 to 200 times less dense at the float altitudes than on the ground. and as the air is heated inside the balloon it causes it to rise upwards (because it is lighter than the cooler air on the outside). When the pilot needs to bring the balloon down again, he simply reduces the temperature of the air inside the balloon causing it to slowly descend.
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