Speed of gear G is 200 rpm.
For Gear F is also compounded with Q then
Nf = 100rpm
direction : CW
For Gear G :
Ng/N = Tg/T
Ng = Tg.N/T
Ng = 50 × 100 / 25 = 200rpm
Speed of gear G = 200 rpm.
A gear's speed may be determined by comparing it to the rotations of other gears, which happens often. A geared system's ratio of gear sizes is a highly regulated variable. This is possible because gears may transmit power from one system to another. The quantity of power that is transferred from one part of the system to another is directly influenced by the size of the gears and gear speed. RPM or a ratio to another system are typically used to represent gear speed.
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Superposition of Waves ;
Sketch two wave pulses whose interference produces a pulse with an amplitude greater than either of the individual waves.
help!!!
The two individual waves interfere to create the pulse with greater amplitude.
What is wave interference?Wave interference is the phenomenon that occurs when two waves meet moving toward or opposite to each other along the same medium.
The interference of waves gives the net effect of the two individual waves.
Consider two pulses of the same amplitude traveling in different directions along the same medium. Each sine wave displaced upward 1 unit at its crest. As the sine pulses move towards each other, there will be a moment in time when they are completely overlapped. The resulting shape of the medium would be a sine pulse of amplitude of 2 units.
Hence, the two individual waves interfere to create the pulse with greater amplitude.
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what are two properties that lead to electromagnetic interactions? pls help I'm so confused and cant find the answer anywhere!!
Answer:
Electric charge. A fundamental property that leads to the electromagnetic interactions among particles that make up matter.
A small dog is 10 kg on the surface of the Earth. What is the
dog's weight, in N, on the moon?
Answer:
4 kg
Explanation:
because when you go the moon you lose 6 times your weight because of the gravitational pull
Answer:
16.3333333 newtons
Explanation:
on earth it would 98 newtons
Which is the best way to compare speed and velocity?
A. Slowing down versus speeding up
B. Distance over time vs distance over time and direction
C. Big vs small
D. One is the hunter and one is the prey
Please help as soon ASAP!
Can the sun explain global warming? ( 2 points) Suppose that the Earth has warmed up by 1 K in the last hundred years. i) How much would the solar constant have to increase to explain this? ii) Compare this to the observed fluctuation of the solar constant over the past 400 years (shown in class) For part (i), begin with the standard 'blackbody' calculation from class, that is: set α=0.30, and assume that the Earth acts as a blackbody in the infrared.
No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.
This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.
i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.
ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.
The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.
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Question 1 of 24 Click to read the passage from "Everyday Use," by Alice Walker. Then answer the question. Which of the following best describes the internal conflict in the passage? OA. Maggie doesn't know whether to feel happy or sad to see Dee. B. Maggie's scars make her feel insecure. C. Maggie and Dee are very different. D. Maggie dislikes waiting for her sister. SUBMIT
The internal conflict in the passage is about how Maggie feels about Dee's arrival. Maggie is feeling insecure about her scars and how Dee will react to her seeing her.
The correct answer to this question is option B.
Maggie is self-conscious of her appearance due to the burns on her skin. Her scars resulted from a house fire in which she was injured while trying to save some family heirloom quilts. On the other hand, Dee is confident and proud of her African heritage.
She changed her name to Wangero, saying that Dee no longer represents her real personality. Dee has also gained a formal education, moved to a big city, and embraced new ideas while rejecting her past, which has left Maggie feeling left behind in rural life.
In conclusion, the passage's internal conflict is Maggie's insecurity about her scars and how her sister Dee will react to seeing her.
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compare and contrast light independent and light dependent reactions.
The statement : Compare and contrast light independent and light dependent reactions is true.
Light-independent reactions, also known as the Calvin cycle or the dark reactions, occur in the stroma of chloroplasts. They do not require light energy directly and can occur in the absence of light.
These reactions utilize the products of the light-dependent reactions, such as ATP and NADPH, to convert carbon dioxide into glucose through a series of enzyme-catalyzed reactions. The light-independent reactions are responsible for the synthesis of carbohydrates and other organic compounds.
On the other hand, light-dependent reactions occur in the thylakoid membrane of chloroplasts and require light energy. They involve the absorption of light by chlorophyll and other pigments, which excite electrons and create an electron transport chain. The energy from the excited electrons is used to generate ATP and NADPH, which are utilized in the light-independent reactions. Additionally, light-dependent reactions produce oxygen as a byproduct through the splitting of water molecules.
In summary, light-dependent reactions capture light energy and convert it into chemical energy (ATP and NADPH), while light-independent reactions utilize that chemical energy to fix carbon dioxide and synthesize carbohydrates.
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Complete question :
Compare and contrast light independent and light dependent reactions. T/F
A 0.5 kg bird starts off flying at a height of 30 m. At this height, the system has 20 J of gravitational potential energy. If the system has a final gravitational energy of 30 J, what is the final height of the bird?
Answer:
45 m
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 0.5 kg
Initial height (h₁) = 30 m
Initial potential energy (PE₁) = 20 J
Final potential energy (PE₂) = 30 J
Final height (h₂) =?
From:
PE = mgh
PE / h = mg = constant
Thus,
PE₁ / h₁ = PE₂ / h₂
With the above formula, we can obtain the final height of the bird as follow:
Initial height (h₁) = 30 m
Initial potential energy (PE₁) = 20 J
Final potential energy (PE₂) = 30 J
Final height (h₂) =?
PE₁ / h₁ = PE₂ / h₂
20 / 30 = 30 / h₂
Cross multiply
20 × h₂ = 30 × 30
20 × h₂ = 900
Divide both side by 20
h₂ = 900 / 20
h₂ = 45 m
Therefore, the final height of the bird is 45 m.
Where’s is the name carbon dioxide from?
Answer:
Carbon dioxide therefore comes first of all from the combustion of fossil fuels such as coal, oil or even natural gas. It is also generated by the respiration of all living organisms as well as by the fermentation of sugars in beer and winemaking.
Explanation:
Answer:
A Scottish chemist named Joseph Black was the first person to identify carbon dioxide in 1750.
Explanation:
Why do s cells contain only half the number of chromosomes needed for offspring?
Somatic cells contain only half the number of chromosomes compared to the cells needed for offspring because they have two sets of chromosomes, while gametes have only one set.
Somatic cells contain only half the number of chromosomes compared to the cells needed for offspring because somatic cells are diploid, meaning they contain two complete sets of chromosomes. In humans, for example, somatic cells have 46 chromosomes organized into 23 pairs. During sexual reproduction, the fusion of two gametes (sperm and egg) occurs. Gametes, also known as sex cells, are haploid cells, meaning they contain only one set of chromosomes. In humans, gametes have 23 chromosomes each. When the sperm and egg fuse during fertilization, their haploid sets of chromosomes combine to form a diploid zygote, which will develop into an offspring. The diploid zygote contains the complete set of chromosomes needed for the development of an individual. The fusion of gametes during fertilization restores the diploid number of chromosomes required for normal development and growth of the offspring.
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4
(a) Which arrow shows the amplitude of the wave?
(1 mark)
Answer:
hmmm, where is the image?
but still let me tell you
Explanation:
amplitude of a wave is the maximum displacement of a particle from its rest position
so the arrow should be from the middle of the wave to the top of the crest or to the bottom trough,
from the middle
okay?
hope this helps, but be sure to add the image next time
Which statement is true about compounds?
A: They do not form living things.
B: They do not form non-living things.
C: They are when electrons of different atoms combine.
D: They are when atoms of different elements combine.
Answer:
Its D
Merry Christmas!!!!
Explanation:
Also I got this question right I had it for an assignment
Look at the diagram below that shows information about the sun, Earth, and moon. Use that information to calculate and compare the gravitational forces between the Earth and the Sun, and the Earth and the Moon.
i. The gravitational force between the earth and sun can be obtained as follow:
Mass of earth (M₁) = 5.987×10²⁴ KgMass of sun (M₂) = 1.989×10³⁰ KgDistance apart (r) = 1.5×10¹¹ mGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Gravitational force (F) =?F = GM₁M₂ / r²
F = (6.67×10¯¹¹ × 5.987×10²⁴ × 1.989×10³⁰) / (1.5×10¹¹)²
F = 3.53×10²² N
Thus, the gravitational force between the earth and sun is 3.53×10²² N
ii. The gravitational force between the earth and moon can be obtained as follow:
Mass of earth (M₁) = 5.987×10²⁴ KgMass of moon (M₂) = 7.347×10²² KgDistance apart (r) = 3.844×10⁸ mGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Gravitational force (F) =?F = GM₁M₂ / r²
F = (6.67×10¯¹¹ × 5.987×10²⁴ × 7.347×10²²) / (3.844×10⁸)²
F = 1.99×10²⁰ N
Thus, the gravitational force between the earth and moon is 1.99×10²⁰ N
How do i compare the gravitational forces?Gravitational force between the earth and sun (G₁) = 3.53×10²² NGravitational force between the earth and moon (G₂) = 1.99×10²⁰ NComparison =?Comparison = G₁ / G₂
G₁ / G₂ = 3.53×10²² / 1.99×10²⁰
G₁ / G₂ = 177
Cross multiply
G₁ = G₂ × 177
Thus, we can say that the gravitational force between the earth and sun is 177 times bigger than the gravitational force between the earth and moon
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why was the big bang orange?
Answer:
Today, Hublot continues to innovate with this extraordinary material by reinterpreting the Big Bang Sapphire Tourbillon in an entirely new orange shade – a world-first for a through-tinted sapphire – achieved thanks to the incorporation of titanium and chromium in a skillful manufacturing process.
Explanation:
Hope this helps My Dude.
Calculate the density of nitrogen gas at a temperature of 101 °C and at a pressure of 1.00 atm.
Answer:
the density of nitrogen=0.00450
Explanation:
the density of a gas is given by the equation PM=dRT
P=pressure of the gas
M=molar mass of the gas
d=density
R=universal gas constant
T=Temperature in kelvin
Given p=1atm,T=101°C=273+101=374K
M=14(molar mass of N2)
now substituting the value in the above equation,we get
⇒ 1×14=d×8.314×374
on solving we get
d=0.00450
How to integrate 1/ 1 + x2
The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.
Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.
Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:
∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du
The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.
Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.
Let us work through the steps:
Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x
Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du
Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.
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For further Reflection
# Do you find Legrain's arguments and examples compel.
ling? Could cultural exchanges such as those detailed in
Legrain's article be more complicated or problematic than
Legrain proposed? Consider how other cultural products-
perhaps those from Africa or Asia--might either uphold or
undermine Legrain's thesis on globalization
Source Philippe Legrain. "Cultural Globa ization
Answer:
Possible Answers:
How the points made can be more complicated or problematic:
The author seems to be focusing on pop culture or pastime activities.
The author isn’t taking into account economic differences between the average citizens of different nations.
All of these examples still follow the American idea of capitalism, not other economic systems.
Explanation:
pf
Ladybugs and butterflies both go through complete metamorphosis. What is common between the life cycles of a ladybug and a butterfly?
A. Both insects have live birth
B. Both insects develope as a nymph
C. Both insects tranform during the pupa stage
D. When their eggs hatch the small insects look the same as an adult
Explanation:
Both insects transform during pupa stage
HW 08-03 1 1 point A 3.3 kg block is sitting on a ramp inclined at an angle = 37. There are coefficients of friction μg = 0.44 and uk = 0.30 between the block and the ramp. What is the minimum force Fmin (in N) that must be applied horizontally in order to move the block up the ramp? Round your answer to one (1) decimal place. If there is no solution or if the solution cannot be found with the information provided, give your answer as: -1000 Type your answer... ch --00 Submit
The minimum force (Fmin) required to move the block up the ramp is 12.7 N.
Mass of the block (m) = 3.3 kg
Angle of the ramp (θ) = 37°
Coefficient of friction between the block and the ramp (μg) = 0.44
Coefficient of kinetic friction between the block and the ramp (uk) = 0.30
Step 1: Resolve the forces acting on the block.
The weight of the block (mg) can be resolved into two components:
- The force acting parallel to the incline (mg*sinθ)
- The force acting perpendicular to the incline (mg*cosθ)
Step 2: Calculate the force of friction.
The force of friction can be calculated using the equation:
Force of friction (Ff) = μg * (mg*cosθ)
Step 3: Determine the minimum force required.
To move the block up the ramp, the applied force (Fapplied) must overcome the force of friction.
Thus, the minimum force required (Fmin) is given by:
Fmin = Ff + Fapplied
Step 4: Substitute the given values and calculate.
Ff = μg * (mg*cosθ)
Fmin = Ff + Fapplied
Now, let's calculate the values:
Ff = 0.44 * (3.3 kg * 9.8 m/s² * cos(37°))
Ff ≈ 12.717 N
Fmin = 12.717 N + Fapplied
Therefore, the minimum force (Fmin) required to move the block up the ramp is approximately 12.7 N.
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You want to build a bird house and attach it to a branch in a 12 foot tree. You have the following materials: wood, glue, screws, saw, hammer, screw driver, nails, ruler and a pulley system connected to a tree. Your bird house needs to be a rectangle that is 30cm long and 15cm wide. List the simple machines you would use to make this. (at least 3)
Answer:
just build it lol
Explanation:
The birdhouse is made from seven pieces of wood cut from a single 1- x 12-inch pine board, 6-feet long. Measure, mark and cut a 5- x 7-inch piece of board for the bottom of the birdhouse. Measure, mark and cut two 5- x 5
and go from there
(b) In an x-ray twbe, an electron is accelerated from rest towards a metal farget tyy a 30 kV source. Calculate the kinetic energy of the electron. e=1.6\times 10^(-19)C
The kinetic energy of the electron accelerated by a 30 kV source is approximately 4.8 x 10^(-14) Joules.
Voltage (V) = 30 kV = 30,000 volts
Charge of an electron (e) = \(1.6 x 10^(-19) C\)
Calculating the potential energy -
P = e x V
An object's motion gives it kinetic energy, which is a type of energy. It is described as the amount of effort required to accelerate a body of a specific mass from rest to its specified velocity. As Potential energy is equal to kinetic energy, therefore calculating the kinetic energy:
Potential Energy = Kinetic Energy = e x V
Substituting the value -
\(= (1.6 x 10^(-19) C) x (30,000 V)\)
\(= 4.8 x 10^(-14) J\)
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An 80 kg runner has 3,000 J of kinetic energy. What is her velocity in m/s?
Answer: 8.6m/s
Explanation:From KE=1/2mv^2
In order to make v the subject of the formula we divide both sides by 1/2m. Thus V^2 will be left alone on the RHS. But we are looking for v and not v^2. Thus we find the square root of KE1/2m
Meaning V= sqrt[3000÷1/2 of 80]
=sqrt[3000÷40]
=sqrt(75)
=8.6m/s
4. A singer at Shinedown Classical has learned from long experience that the probability that a mic accident will occur while he is singing a song is \( 0.40 \). During one hour, the singer sings 5 songs. Make a graph of the binomial probability distribution that shows the probabilities that \( 0,1,2,3,4 \), or all 5 songs experiencing mic outages. (10) Hint: \( q=0.40 \ldots p=? \ldots n=? \) Electronic submissions will not be worth any marks.
Binomial distribution refers to a probability distribution of discrete random variables. The binomial probability distribution depends on the number of experiments that were conducted within a fixed time period.
Shinedown Classical’s singer learned from long experience that the probability that a mic accident will occur while he is singing a song is 0.40. During one hour, the singer sings 5 songs.
Find the graph of the binomial probability distribution that shows the probabilities that 0,1,2,3,4, or all 5 songs experiencing mic outages.Binomial distribution formula .
The probability of getting r successes from n trials is given by;$$\text{P}(r) = \binom{n}{r}p^r(1-p)^{n-r}$$where n = number of trials, r = number of successes, p = probability of success, and 1 - p = probability of failure. In this case, q = 0.40, p = 1 - q = 0.60, and n = 5. Hence, the probability of having r mic outages while the singer sings 5 songs is given by:$$\text{P}(r) = \binom{5}{r}(0.60)^r(0.40)^{5-r}
We can then determine the probability of having 0, 1, 2, 3, 4, and 5 mic outages as follows;For r = 0, P(0) = (5 choose 0) × (0.60)⁰ × (0.40)⁵ = 0.01024For r = 1, P(1) = (5 choose 1) × (0.60)¹ × (0.40)⁴ = 0.07680For r = 2, P(2) = (5 choose 2) × (0.60)² × (0.40)³ = 0.23040For r = 3, P(3) = (5 choose 3) × (0.60)³ × (0.40)² = 0.34560For r = 4, P(4) = (5 choose 4) × (0.60)⁴ × (0.40)¹ = 0.25920For r = 5, P(5) = (5 choose 5) × (0.60)⁵ × (0.40)⁰ = 0.07776These values can then be used to plot a graph of the binomial probability distribution. The graph will show the probability of each possible number of mic outages in the five songs.
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A wave has a wavelength of 4.9 m and a velocity of 9.8 m/s. The medium through which this wave is traveling is then heated so that the velocity is doubled. If the frequency remains constant, what is the wavelength of the heated wave? 2.5 m 9.8 m 14.7 m 19.6 m
Answer:
the wavelength is 9.8 meters
Explanation:
We can use the relationship:
Velocity = wavelenght*frequency.
Initially we have:
wavelenght = 4.9m
velocity = 9.8m/s
then:
9.8m/s = 4.9m*f
f = 9.8m/s/4.9m = 2*1/s
now, if the velocity is doubled and the frequency remains the same, we have:
2*9.8m/s = wavelenght*2*1/s
wavelenght = (2*9.8m/s)*(1/2)s = 9.8 m
Answer:
9.8
Explanation:
what factors does the speed of sound depend upon? what are some factors that it does not depend upon?
Not volume or frequency, but wind, temperature, and humidity are factors. In a given medium, all sounds propagate at the same pace.
What do you mean by sound?Sound is a vibration that travels through a medium as a mechanical wave. It is produced by a vibrating body. It can spread via a solid, a liquid, or a gas as the medium.
What does a sound mean in science?Sound is a form of energy created by vibrations. Air molecules nearby move as an item vibrates. These molecules collide with the molecules nearby, causing them to vibrate as well. They then collide with additional surrounding air molecules as a result.
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Either coal (C) or gas (G) can be used in the production of steel. The cost (per unit) of coal is 100 , the cost (per unit) of gas is 500 . Draw an isocost curve showing the different combinations of gas and coal that can be purchased (a) with an initial expenditure (TC) of 20000 . (b) if the expenditure (TC) increases by 50%. (c) if the gas price is reduced by 25%. (d) if the coal price rises by 20%. In answering parts (b)-(d), always start from the original isocost equation.
a) The isocost curve equation is G = (20000 - 100C)/500. b) The isocost curve equation is G = (30000 - 100c)/500. c) The isocost curve equation is G = (20000 - 100C)/375. d) The isocost curve equation is G = (20000 - 120C)/500.
To draw the isocost curve showing the different combinations of gas and coal, we need to use the cost per unit values for coal and gas, as well as the given expenditure (TC) and the changes in expenditure or prices.
Let's denote the quantity of coal as C and the quantity of gas as G. The cost per unit of coal is 100, and the cost per unit of gas is 500.
(a) Initial expenditure (TC) of 20000:
To find the combinations of gas and coal that can be purchased with an initial expenditure of 20000, we can use the following isocost equation
TC = 100C + 500G
We can rearrange the equation to solve for G in terms of C
G = (TC - 100C) / 500
Now we can plot the isocost curve with TC = 20000 using the equation above.
(b) Expenditure (TC) increases by 50%
If the expenditure increases by 50%, the new expenditure (TC_new) becomes 1.5 × TC = 1.5 × 20000 = 30000.
We can use the same isocost equation as before, but with the new expenditure value:
TC_new = 100C + 500G
Rearranging the equation to solve for G
G = (TC_new - 100C) / 500
Now we can plot the isocost curve with TC_new = 30000.
(c) Gas price reduced by 25%:
If the gas price is reduced by 25%, the new cost per unit of gas (Gas_new) becomes 0.75 × 500 = 375.
We can use the original isocost equation, but with the new cost per unit value:
TC = 100C + 375G
Rearranging the equation to solve for G
G = (TC - 100C) / 375
Now we can plot the isocost curve with the reduced gas price.
(d) Coal price rises by 20%
If the coal price rises by 20%, the new cost per unit of coal (Coal_new) becomes 1.2 × 100 = 120.
We can use the original isocost equation, but with the new cost per unit value:
TC = 120C + 500G
Rearranging the equation to solve for G:
G = (TC - 120C) / 500
Now we can plot the isocost curve with the increased coal price.
By plotting these isocost curves on a graph with G on the y-axis and C on the x-axis, we can visualize the different combinations of gas and coal that can be purchased at the given expenditures or price changes.
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The period of a sound wave coming from an instrument is 0.002 seconds. what is the frequency of the sound? hz
The frequency of the sound will be 500 Hz. The frequency of the sound is the inverse of the time period.
What is the frequency of the sound?A sound pressure wave's frequency, also known as pitch, is the number of times it repeats itself every second.
The frequency of the sound is the inverse of the time period. The frequency is given as;
\(\rm f= \frac{1}{t} \\\\ \rm f= \frac{1}{0.002 } \\\\ \rm f= 500 \ Hz\)
Hence the frequency of the sound will be 500 Hz.
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Answer:
500 Hz
Explanation:
got it right on edge
The position of an object moving along a line is given by the function s(t)=−18t 2
+54t. Find the average velocity of the object over the following intervals. (a) [1,10] (c) [1,8] (b) [1,9] (d) [1,1+h] where h>0 is any real number. (a) The average velocity of the object over the interval [1,10] is −144 (b) The average velocity of the object over the interval [1,9] is −126 (c) The average velocity of the object over the interval [1,8] is −108 (d) The average velocity of the object over the interval [1,1+h] is
The average velocity of the object over the given intervals can be calculated using the position function s(t) = \(-18t^{2}\) + 54t. The average velocities are as follows: (a) -144, (b) -126, (c) -108, and (d) -18h + 36.
The average velocity of an object can be found by calculating the change in position divided by the change in time. In this case, we are given the position function s(t) = \(-18t^{2}\) + 54t.
(a) For the interval [1,10], the change in time is 10 - 1 = 9. To find the change in position, we evaluate s(10) - s(1):
s(10) = \(-18(10)^{2}\) + 54(10) = -1800 + 540 = -1260
s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36
Change in position = -1260 - 36 = -1296
Average velocity = Change in position / Change in time = -1296 / 9 = -144.
(b) For the interval [1,9], the change in time is 9 - 1 = 8. To find the change in position, we evaluate s(9) - s(1):
s(9) = -18(9)^2 + 54(9) = -1458 + 486 = -972
Change in position = -972 - 36 = -1008
Average velocity = Change in position / Change in time = -1008 / 8 = -126.
(c) For the interval [1,8], the change in time is 8 - 1 = 7. To find the change in position, we evaluate s(8) - s(1):
s(8) = \(-18(8)^{2}\) + 54(8) = -1152 + 432 = -720
Change in position = -720 - 36 = -756
Average velocity = Change in position / Change in time = -756 / 7 = -108.
(d) For the interval [1,1+h], the change in time is (1+h) - 1 = h. To find the change in position, we evaluate s(1+h) - s(1):
s(1+h) = \(-18(1+h)^{2}\) + 54(1+h) = -18(1 + 2h + h^2) + 54(1 + h) = -18 - 36h - \(18h^{2}\) + 54 + 54h = 36h - \(18h^{2}\) + 36
s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36
Change in position = (36h - \(18h^{2}\) + 36) - 36 = 36h - \(18h^{2}\)
Average velocity = Change in position / Change in time = (36h - \(18h^{2}\)) / h = 36 - 18h.
Therefore, the average velocities for the given intervals are (a) -144, (b) -126, (c) -108, and (d) 36 - 18h.
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Please Help!!! I WILL GIVE BRAINLIEST!!!! An electron is in motion at 4.0 × 10^6 m/s horizontally when it enters a region of space between two parallel plates, starting at the negative plate. The electron deflects downwards and strikes the bottom plate. The magnitude of the electric field between the plates is 4.0 x 10^2 N/C and separation between the charged plates is 2.0 cm. a.) Determine the horizontal distance traveled by the electron when it hits the plate. b.)Determine the velocity of the electron as it strikes the plate.
Answer:
a. 9.52 cm b. 4.34 × 10⁶ m/s
Explanation:
a. The horizontal distance traveled by the electron when it hits the plate.
The electric force F on the electron due to the electric field E of mass, m is
F = -eE = ma
a = -eE/m where a = acceleration of electron
The vertical distance moved by the electron is given by
Δy = ut +1/2at²
u = initial vertical velocity = 0. and take the top plate as y = 0 and bottom plate as y
So,
0 - y = 0 × t + 1/2at²
-y = 1/2at²
substituting a = -eE/m
-y = 1/2(-eE/m)t²
y = eEt²/2m
making t subject of the formula,
t = √(2ym/eE) where t is the time it takes to reach the bottom plate.
Since E = 4.0 × 10² N/C, y = distance between plates = 2.0 cm = 0.02 m, m = 9.109 × 10⁻³¹kg and e = 1.602 × 10⁻¹⁹ C
t = √[(2 × 0.02 m × 9.109 × 10⁻³¹kg)/(1.602 × 10⁻¹⁹ C × 4.0 × 10² N/C)]
t = √[(0.36436 × 10⁻³¹kgm)/(6.408 × 10⁻¹⁷ N)]
t = √[(0.0569 × 10⁻¹⁴kgm/N)t
t = 0.238 × 10⁻⁷ s
t = 23.8 × 10⁻⁹ s
t = 23.8 ns
The horizontal distance moved when it hits the plates x = vt where v = initial horizontal velocity = 4.0 × 10⁶ m/s
x = 4.0 × 10⁶ m/s × 23.8 × 10⁻⁹ s
= 0.0952 m
= 9.52 cm
b. The velocity of the electron as it strikes the plate.
To find the velocity of the electron as it strikes the plates, we calculate its final vertical velocity V as it strikes the plate. This is gotten from
v' = u + at since u = 0,
v' = at
= -eEt/m
= -(1.602 × 10⁻¹⁹ C × 4.0 × 10² N/C × 0.238 × 10⁻⁷ s)/9.109 × 10⁻³¹kg
= -1.525 × 10⁻²⁴ Ns/9.109 × 10⁻³¹kg
= -0.167 × 10⁷ m/s
= -1.67 × 10⁶ m/s
So, the resultant velocity as it strikes the plate v = √(v'² + v²)
= √((-1.67 × 10⁶ m/s)² + (4 × 10⁶ m/s)²)
= √(2.7889 + 16) × 10⁶ m/s
= √18.7889 × 10⁶ m/s
= 4.335 × 10⁶ m/s
≅ 4.34 × 10⁶ m/s
If you decide you want to meet someone you met online, what should you do first?
A. Tell your best friend.
B. Call the person you met online on the phone.
C. Tell your parents
D. Set up a meeting place.
c tell your parents it could be someone very dangerous and meeting people online can be very risky I would also tell my bsf just for fun tho