A 5 kg plant falls from a window and strikes the ground below with a speed of 6 m/s. Neglecting air resistance, what was the gravitational potential energy of the plant relative to the ground before it fell?
Answers
Gravitational energy or gravitational potential energy is the potential energy a massive object has in relation to another massive object due to gravity.
Mass of plant is given as, m = 5 kg, Speed of plant before it hit the ground, v = 6 m/s and Acceleration due to gravity, g = 9.8 m/s². To calculate the gravitational potential energy of the plant relative to the ground before it fell, we will use the formula for gravitational potential energy.
Gravitational potential energy = mgh, Where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the ground (relative to a chosen reference level).When the plant is at rest on the window sill, its height above the ground is equal to h.
The initial potential energy of the plant is, Gravitational potential energy = mgh. Since the plant fell to the ground from the window, the height of the plant is equal to zero. Therefore, the initial potential energy is equal to the kinetic energy when the plant hits the ground. This can be represented as follows, Gravitational potential energy = Kinetic energy, 1/2mv²= 1/2 × 5 kg × (6 m/s)²= 90 J. Therefore, the gravitational potential energy of the plant relative to the ground before it fell was 90 J
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Related Questions
The Enterprise wants to orbit a4.15 x 10^24kg planet with a period of14100 s. What should the radius oftheir orbit be?
Answers
Given:
Mass of planet, m = 4.15 x 10²⁴ kg.
Period, T = 14100 s
Let's find the radius.
To find the radius, apply the formula from Kepler's Third aw:
\(\begin{gathered} \frac{T^2}{R^3}=\frac{4\pi^2}{GM} \\ \\ \end{gathered}\)Where R is the radius.
Rewrite the formula for r:
\(R=\sqrt[3]{\frac{GM*T^2}{4\pi^2}}\)Where:
G is gravitational constant = 6.67 x 10⁻¹¹ m3 kg-1 s-2
M is the mass = 4.15 x 10²⁴ kg
T is the period = 14100 s
π = 3.54
Plug in values and solve for R;
\(\begin{gathered} R=\sqrt[3]{\frac{6.67\times10^{-11}*4.15\times10^{24}*14100^2}{4\pi^2}} \\ \\ R=\sqrt[3]{\frac{5.503\times10^{22}}{39.4784}} \\ \\ \end{gathered}\)Solving further:
\(\begin{gathered} R=\sqrt[3]{1.394\times10^{21}} \\ \\ R=11170796.49\approx1.12\times10^7\text{ m} \end{gathered}\)Therefore, the orbital radius will be 1.12 x 10⁷ meters.
ANSWER:
1.12 x 10⁷ m
What is the period of small angle oscillations of a simple pendulum with a mass of 0.6 kg at the end of a string of length 4 m
Answers
The period of small angle oscillations for a simple pendulum with a 0.6 kg mass at the end of a 4-meter string is approximately 4.02 seconds.
The period of small angle oscillations of a simple pendulum can be found using the formula:
T = 2π√(L/g)
Where T is the period, L is the length of the string, and g is the acceleration due to gravity (approximately 9.81 m/s²).
In this case, the mass of the pendulum (0.6 kg) does not affect the period, as the formula only depends on the length of the string and the acceleration due to gravity. Given the length of the string (L) is 4 meters, we can calculate the period as follows:
T = 2π√(4/9.81)
T ≈ 2π√(0.408)
T ≈ 2π(0.639)
T ≈ 4.02 seconds
So, the period of small angle oscillations for a simple pendulum with a 0.6 kg mass at the end of a 4-meter string is approximately 4.02 seconds. This result is valid when the oscillations are small, as the formula assumes that the angle of displacement is close to zero, leading to more accurate results in such cases.
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how jolibee mascot move their eyes?
Answers
Answer: i think they control the eyes to move them.
Explanation:
A 35 kg object has -450 kgm/s of momentum. Calculate its velocity.
Answers
Hi there!
Recall the equation for momentum:
\(\large\boxed{p = mv}\\\)
p = momentum (kgm/s)
m = mass (kg)
v = velocity (m/s)
We can plug in the given values to solve for velocity:
\(-450 = 35v\\\\v = \frac{-450}{35} = \boxed{12.86 m/s}\)
A car drives 2 blocks north, then 3 blocks east, and finally 2 blocks south. What is the
displacement of the car?
A) 15 km
B) 3 km west
C) 3 km east
D) 7 km north
Answers
pls help the image is down below
Answers
Answer:3 go to 2 and 4 go to 4 and 1 go 2 2 go to 1
Explanation:
1. Based on your understanding of Atmospheric and Oceanic Circulation please
explain why air and ocean water quality at various locations around the globe are a concern to everyone on the planet whether you live in or near the area affected or not. Remember this questions is related to Atmospheric and Ocean Circulation, so use explanations that relate to the material and concepts we discussgd during lectures, Be sure to use terms discussed in lectures and provide detailed explanations and to give as much information as you possible can to display an understanding of the concept.
Answers
Atmospheric and oceanic circulation play a crucial role in determining air and ocean water quality at various locations around the globe.
The movement of air and water across the Earth's surface helps to distribute heat, moisture, and pollutants from one region to another. This means that even if you live far away from an area affected by poor air or water quality, you may still be impacted by these conditions.
For example, atmospheric circulation can transport pollutants such as carbon dioxide and ozone from one region to another, affecting global climate patterns and air quality. Additionally, oceanic circulation can transport pollutants and contaminants such as oil spills, plastic waste, and agricultural runoff to distant shores, where they can accumulate and harm marine ecosystems and human health.
Moreover, the effects of climate change, which are influenced by atmospheric and oceanic circulation, are also a major concern for everyone on the planet. Rising temperatures, changing precipitation patterns, and increased frequency of extreme weather events can all have significant impacts on air and water quality, as well as on human health and wellbeing.
In summary, atmospheric and oceanic circulation play a critical role in determining air and water quality around the globe, and their impacts can be far-reaching and long-lasting. It is therefore important for us to understand these complex systems and work towards mitigating their negative effects on our planet and its inhabitants.
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what are 6 things the four states of matter have in common please help asap!
Answers
describe relative motion with an examples
Answers
Answer:
The measurement of an object's motion with respect to any other object that is moving or stationary is called Relative Motion.
PLEASE HELP QUICK! I'LL GIVE BRAINLIEST RIGHT AWAY IF RIGHT.
Answers
4-2
5-1
6-1
I hope this helped I tried my best
bonnie volunteers to help make floral arrangements at a flower shop. she is an example of
Answers
Bonnie is an example of a volunteer who is offering her time and skills to help make floral arrangements at a flower shop. This act of volunteering demonstrates her willingness to give back to her community and support local businesses.
By offering her assistance, Bonnie is helping the flower shop to create beautiful and unique arrangements that will enhance the beauty and appeal of their products.
Additionally, her contribution of time and energy helps to ease the workload of the shop's staff and ensure that they are able to meet the demands of their customers.
Overall, Bonnie's decision to volunteer is a positive example of how individuals can make a difference in their communities by offering their time and talents to support local businesses and organizations.
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Facing north, a mountain range is on your right. Turning west, where will the mountain range
be?
Answers
Using the concept of direction, we got the mountain behind me when we turn West.
A mountain is an elevated portion of Earth's crust, generally with steep sides that show significantly exposed bedrock. Although definitions vary, a mountain may differ from plateau in having a limited summit area, and is usually higher than a hill, typically rising at least 300 meters (1,000 feet) above the surrounding land. A few mountains are isolated summits, but most occur in the mountain ranges.
Mountains are formed through a tectonic forces, erosion, or volcanism, which act on time scales of up to tens of millions of years. Once mountain building ceases, mountains are slowly leveled through the action of weathering, slumping, and other forms of mass wasting, as well as through erosion by rivers and the glaciers.
Hence, when we turn West, the mountain will be behind me.
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Assuming the circulatory system in humans obeys Bernoulli's principle of fluid dynamics, which of the statements most accurately compares the blood pressure in a capillary of the neck to a capillary with an equal cross-sectional area in the right knee? a). The pressure in the neck is greater than the pressure in the knee because of the increase in pressure head b). The pressure in the neck is equal to the pressure in the knee because of the equal dynamic pressure according to the continuity equation c). The pressure in the knee is greater than the pressure in the neck because of the increase in pressure head d). An accurate comparison cannot be given without knowledge of the fluid's density and viscosity
Answers
Option B: The pressure in the neck is equal to the pressure in the knee because of the equal dynamic pressure according to the continuity equation is the answer.
Assuming that the human circulatory system obeys Bernoulli's principle of hydrodynamics, the most accurate comparison of blood pressure in capillaries in the neck and those of equal cross-sectional area in the right knee yields: The neck pressure equals the knee pressure with the same dynamic pressure according to the continuity equation. The Bernoulli equation describes the flow of an incompressible fluid in a pipe and how that flow is affected by changes in pressure.
In this case, it can be applied to the flow of blood through capillaries in the neck and right knee. The continuity equation, which states that the volume flow rate of fluid through a tube must remain constant, regardless of changes in the tube's cross-sectional area or shape, can also be applied in this case. Because the two capillaries have the same cross-sectional area, the dynamic pressure in both capillaries must be the same because of the continuity equation. This indicates that the pressure in the neck is equal to the pressure in the knee.
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What is the displacement if I walk three blocks east two blocks south one block west and two blocks north
Answers
Answer:
south east
Explanation:
because two step to the east then a step to the west displaces one to east still but southwards
A number of texas counties introduced electronic voting in the 2002 midterm election because:__________
Answers
Texas introduced Electronic voting in the 2002 midterm election as a way to modernize the state's voting process, increase the accuracy of the results, and improve the security of the voting process.
A number of Texas counties introduced electronic voting in the 2002 midterm election because of several reasons.
Firstly, the introduction of electronic voting was an attempt to modernize the state's voting process. The older method of paper-based voting was viewed as slow and inefficient, with many people waiting in line for hours to cast their votes. In contrast, electronic voting promised to speed up the process and reduce waiting times, allowing more people to participate in the election.
Secondly, the use of electronic voting was also intended to increase the accuracy of the election results. The older paper-based system was prone to human error, with mistakes made in vote counting and tallying. By using electronic voting machines, the state hoped to eliminate such errors and produce more accurate results.
Finally, electronic voting was also viewed as a more secure method of voting. The machines were designed to prevent fraud and tampering, with several security features in place to prevent hacking or other unauthorized access.
The introduction of electronic voting in Texas was a significant step forward for the state, which had long been plagued by issues with its voting process. In previous elections, voters had often been forced to wait in line for hours to cast their votes, with many people giving up and leaving before they could vote. The use of electronic voting promised to reduce waiting times and make the process more efficient, ensuring that more people would be able to participate in the election.
Additionally, the introduction of electronic voting machines was also intended to increase the accuracy of the election results. In the past, the paper-based voting system had been prone to errors, with mistakes made in vote counting and tallying. By using electronic machines, the state hoped to eliminate such errors and produce more accurate results.
Finally, the use of electronic voting machines was also intended to increase the security of the voting process. With several security features in place to prevent fraud and tampering, the state hoped to ensure that the election results were fair and accurate.
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What would happen if an Asteroid hit earth?
Answers
Answer:
There would be tremendous earthquakes and tsunamis, followed by massive volcanism around the impact zone. The ozone layer would be destroyed. The oceans would turn acidic. The Sun would be blotted out, probably for decades.
Explanation:
Hope this helps!
Answer: Well it depends on the size. If the asteroid was the size of a basketball, it would most probably turn to dust by the time it reaches the surface. But, if it was the size of Australia, then most probably everyone would die.
Explanation:
An organism ingests a toxin that damages the mitochondria of its cells.
Which function of the mitochondria might be inhibited in the cell?
Choose 1 answer:
(Choice A) A Producing sugar from sunlight
(Choice B) B Converting energy stored in sugar to ATP
(Choice C) C Creating proteins
(Choice D) D Disposing of damaged cell parts
Answers
which color of visible light would have the least energy? which would have the most energy? how do you know?
Answers
The color of visible light that would have the least energy is red. On the other hand, the color of visible light that would have the most energy is violet.
This is because red light has the longest wavelength and the lowest frequency out of all the colors in the visible spectrum. Violet light has the shortest wavelength and the highest frequency out of all the colors in the visible spectrum.
This relationship between wavelength, frequency, and energy can be explained by the relationship between electromagnetic waves and energy. All electromagnetic waves, including visible light, have a certain amount of energy that is proportional to their frequency. The higher the frequency, the more energy the wave has.
This relationship can also be seen in the electromagnetic spectrum, where higher energy waves (such as X-rays and gamma rays) have shorter wavelengths and higher frequencies, while lower energy waves (such as radio waves) have longer wavelengths and lower frequencies.
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how does displacement vary with time when acceleration is constant and the initial velocity is zero? lab report
Answers
When acceleration is constant and the initial velocity is zero, displacement varies with time as a parabolic function, increasing at an increasing rate.
When acceleration is constant and the initial velocity is zero, displacement (d) varies with time (t) according to the equation d = 1/2at^2, where a is the acceleration. This equation can be derived from the relationship between velocity, acceleration, and displacement, which is given by the equation v^2 = u^2 + 2as, where u is the initial velocity.
Since the initial velocity is zero, the equation can be simplified to v^2 = 2as, where s is the displacement. By integrating both sides of the equation with respect to time, we get v = at, and by integrating again with respect to time, we get s = 1/2at^2.
Therefore, when acceleration is constant and the initial velocity is zero, displacement varies with time as a parabolic function, increasing at an increasing rate. The rate of increase of displacement depends on the magnitude of the acceleration. The greater the acceleration, the greater the rate of increase of displacement. The displacement at any time can be calculated by substituting the time into the equation d = 1/2at^2.
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a converging lens has a focal length of 4.8 cm. an object is placed 3.1 cm from the lens. a. draw the rays tracing diagram to locate the image. is the image real or virtual?
Answers
The image is inverted compared to the object, which means it is a real image.
To draw the ray diagram,
Draw the principal axis and mark the optical center of the lens.
Draw a vertical line to represent the object, and place it 3.1 cm to the left of the lens.
Draw two rays from the top and bottom of the object, parallel to the principal axis, and refract them through the lens so that they converge at a point on the principal axis.
Draw a third ray from the top of the object, passing through the focal point of the lens, and refract it so that it becomes parallel to the principal axis.
Where the refracted rays intersect is the location of the image. Draw the image as a vertical arrow on the opposite side of the lens to the object.
Based on the diagram, we can see that the image is located on the opposite side of the lens to the object, and is smaller than the object.
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A speaker fixed to a moving platform moves toward a wall, emitting a steady sound with a frequency of 225Hz . A person on the platform right next to the speaker detects the sound waves reflected off the wall and those emitted by the speaker.How fast should the platform move, vp, for the person to detect a beat frequency of 1.00Hz ?
Answers
The speed of the platform so that the person detects a beat frequency of 1.00 Hz is 5.286m/s.
The speaker moving towards the wall is emitting the sound of frequency of 115Hz and the platform right next to the speaker is detecting the sound reflected by the wall and emitted by the speaker.
Now, to find the speed of the platform so that the person here the beta frequency pf 1.00Hz, we will use the relation,
F = (c+v/c-v)f
c = Speed of waves in the medium
u = Speed of the receiver relative to the medium
v = Speed of the source relative to the medium
f = emitted frequency
Our values are given,
Beat frequency = 7Hz
Reflective Doppler frequency = 225+7=232Hz
Putting values,
232 = (c+v/c-v)225
solving further,
v = 5.286 m/s.
So, the speed of the platform shoud be 5.286m/s.
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3. The total mechanical energy of the object at the highest point compared to its
total mechanical energy at the lowest point is
A. lesser
B. greater
C. equal
D. not related.
Answers
The total mechanical energy of the object at the highest point compared to its total mechanical energy at the lowest point is lesser. The correct answer is option A.
The total mechanical energy of an object is the sum of its potential and kinetic energy. When an object moves, it experiences changes in potential and kinetic energy. In simple terms, the total mechanical energy of an object is the energy that it possesses due to its position or motion. In general, when an object moves from its highest to the lowest point, its potential energy is at its maximum value while its kinetic energy is at its minimum value. At the highest point, the object has maximum potential energy and zero kinetic energy. At this point, the total mechanical energy of the object is equal to its potential energy. On the other hand, at the lowest point, the object has maximum kinetic energy and minimum potential energy. At this point, the total mechanical energy of the object is equal to its kinetic energy.Since the total mechanical energy at the highest point is equal to the potential energy only while the total mechanical energy at the lowest point is equal to the kinetic energy only, it is clear that the total mechanical energy at the highest point is lesser than the total mechanical energy at the lowest point. Therefore, the answer to the question is A.For more questions on mechanical energy
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When ultraviolet light with a wavelength of 400.0 nm falls on a certain metal surface, the maximum kinetic energy of the emitted photoelectrons is measured to be 1.10 eV. What is the maximum kinetic energy of the photoelectrons when light of wavelength 300.0 nm falls on the same surface?
Answers
The maximum kinetic energy of the photoelectrons when light of wavelength 300.0 nm falls on the same surface is 1.83 eV.
The maximum kinetic energy of the photoelectrons when light of wavelength 300.0 nm falls on the same surface is 1.83 eV.Step-by-step explanation:
Given, The wavelength of light, λ₁ = 400.0 nm.
The maximum kinetic energy of the emitted photoelectrons, K₁ = 1.10 eV. We need to find the maximum kinetic energy of the photoelectrons when light of wavelength 300.0 nm falls on the same surface.
We know that the maximum kinetic energy of the photoelectrons is given byK.E = (hc/λ) - Φwherehc = 4.14 x 10⁻¹⁵ eV s.
Planck's constant = 6.63 x 10⁻³⁴ JsΦ = work function of the metal surface.
The work function of the metal surface is the energy required to remove an electron from the metal surface. It is the minimum energy required to emit an electron from the surface of the metal.
For metals, it lies between 2 eV and 6 eV. We can write K. E₁ = (hc/λ₁) - ΦK.E₂ = (hc/λ₂) - ΦDividing equation (1) by equation (2), we getK.E₁/K.E₂ = λ₂/λ₁.
Substituting the given values, we get
1.10 eV/K.E₂ = 300.0 nm/400.0 nmK.E₂ = (1.10 eV)(400.0 nm)/(300.0 nm)K.E₂ = 1.83 eV
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What is the relationship between elevation and energy (think about the same can dropped from different heights)?
Answers
Answer: Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
Explanation:
1.
100 cm are equivalent to 1 m. How many cm are equivalent to 3 m? Briefly explain how you
could convert any number of meters into a number of centimeters
Answers
Answer:
\(300\) cm are equivalent to \(3\) m.
Explanation:
\(100\) cm are equivalent to \(1\) m.
\(100 \mathrm{~cm}$=1{~m}$\)
\(3 \mathrm{~m}$=3\times100\)
\(=$300{~cm}$\)
To convert meters (\(\mathrm{~m}$\)) into number of centimeters (\(\mathrm{~cm}$\)), multiply that number by \(100\).
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Q. What is the acceleration of this object? What is its initial velocity?
y = 4.59t^2 - 1.12t + 0.03
For acceleration, can we do the second derivative? I am not sure how to do initial velocity. Is it just derivative and plug in 0 for t?
Answers
The initial velocity of the object is -1.12 units/s.
To calculate the acceleration of the given object, you can differentiate the given equation of the object with respect to time (t).
The first derivative will give you the velocity of the object, while the second derivative will give you the acceleration of the object.For the given equation:y = 4.59t² - 1.12t + 0.03.
Differentiating with respect to t,y' = 9.18t - 1.12
Differentiating again with respect to t,y'' = 9.18
Therefore, the acceleration of the object is 9.18 units/s².
The initial velocity of the object can be calculated by putting the value of t as 0 in the first derivative equation:
y' = 9.18t - 1.12Putting t = 0 in the above equation,y' = 9.18(0) - 1.12= -1.12
Therefore, the initial velocity of the object is -1.12 units/s.
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Which term names a small, icy object that orbits the sun?.
Answers
Answer:
Comets
Explanation:
Comets are small, icy objects that have very elliptical orbits around the Sun.
what are characteristics of ultra sound
Answers
Answer:
hBdbdbdbdbbdbdvdbdksbsonalamspamalans
Answer:Property 1: Ultrasonic waves vibrate at a frequency greater than the audible range for humans (20 kilohertz).
Property 2: They have smaller wavelengths. As a result, their penetrating power is high.
Property 3: They cannot travel through vacuum.
Property 4: Ultrasonic waves travel at the speed of sound in the medium. They have maximum velocity in a denser medium.
Property 5: In a homogeneous medium, they travel at a constant velocity.
Property 6: In low viscosity liquids, ultrasonic waves produce vibrations.
Property 7: They undergo reflection, refraction and absorption.
Property 8: They have high energy content. They can be transmitted over a large distance without much loss of energy.
Property 9: They produce intense heat when they are passed through objects.
Property 10:Like sound waves, ultrasonic waves are longitudinal waves that produce alternate compressions and rarefactions.
Explanation:
Choose the option below that is not necessarily true of a system at equilibrium.
ΔG∘=0
ΔG∘=−RTlnK
Q=K
ΔG=0
Answers
This statement is not necessarily true at equilibrium. ΔG = 0 indicates that the system is at thermodynamic equilibrium, where there is no tendency for the reaction to proceed in either direction.
The option that is not necessarily true of a system at equilibrium is: ΔG = 0 At equilibrium, the Gibbs free energy change (ΔG) of a system is not necessarily zero. The other three options are commonly associated with equilibrium conditions. ΔG∘ = 0: This is true for a system at standard conditions (ΔG∘ represents the standard Gibbs free energy change), but it does not hold true for all equilibrium situations. ΔG∘ = -RTlnK: This equation is the standard Gibbs free energy change equation at equilibrium, where ΔG∘ represents the standard Gibbs free energy change, R is the gas constant, T is the temperature, and K is the equilibrium constant.
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Please help me with this physics question, both questions have the answers.
Answers
Answer: A wave is a disturbance that transmits energy as long as it is not transmitting matter?