The horizontal range (R) of a projectile is defined as the horizontal distance it travels while in flight. It is equal to the product of the initial velocity (V) of the projectile, the sine of the angle of projection (θ), and the time of flight (T). R = V * T * sinθ
The maximum height (H) of a projectile is reached at the peak of its trajectory and is equal to the product of half of the gravitational acceleration (g), and the square of the time of flight (T) . H = (1/2) * g * T^2
Given that the horizontal range is equal to three times the maximum height, we can set up the following equation:
R = 3H
We know that R= V * T * sinθ and H = (1/2) * g * T^2
Substituting these equations into the first equation we get:
V* T * sinθ = 3(1/2) * g * T^2
Dividing both sides by T and simplifying, we get:
sinθ = (3/2) * sqrt(g/V)
If we know the value of g (gravitational acceleration) and the initial velocity of the projectile we can calculate the angle of projection. However, in general this is an inverse trigonometric function and the angle of projection is not a exact value, but it is defined in the range of values for the inverse trigonometric functions.
It's important to note that this equation assumes a level ground, no air resistance and constant acceleration due to gravity.
write a partial decay series for at-217 undergoing the following sequential decays: α, β, α, β.
Part A
α-decay
Express your answer as a nuclear equation
α decay:
217 At → 4 α + 213 Bi
85 2 83
β decay:
213 Bi → 0 e + 213 Po
83 -1 84
α decay:
213 Po → 4 α + 209 Tl
84 2 82
β decay:
209 Tl → 0 e + 209 Pb
82 -1 83
What occurs when radioactive material decays?
A radioactive atom will naturally emit radiation in the form of energy or particles in order to transition into a more stable state. The difference between radioactive material and the radiation it emits must be made. Radioactivity types: beta, gamma, and alpha decay.
A typical type of radioactive decay known as "alpha decay" occurs when a nucleus emits an alpha particle (a helium-4 nucleus). A nucleus emits beta particles during the typical radioactive decay process known as beta decay. The offspring nucleus will be more atomically massive than the parent nucleus.
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A 5 N picture is supported by two strings that run from its upper corners to a nail on the
wall. If each string makes a 40° with the vertical, the tension in each string is
a) 3.3 N
b) 3.9 N
c) 5 N
d) 10 N
The tension force on both strings is the same. The tension is 3.9 N 10 N 3.3 N S,0 N if each string is at a 40-degree angle to the vertical. launching the video player.
How do you find the tension of a vertical string?T = (m g) + (m a), where "g" denotes the acceleration caused by gravity of any objects the rope is supporting and "a" denotes any additional acceleration on any such objects, can be used to represent the tension in a given rope.
The force transferred through a rope, string, or wire when pushed by forces acting from opposite sides is referred to as tension. The tension force is applied along the entire length of the wire and exerts an equal amount of strain on the bodies at each end.
You can write it down as FC = mv2 /r. The centripetal force is equal to the total of the object's weight (in grammes) and the tension in the string when an object attached to a string is moving in a vertical circular motion.
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If the numerical value of the equilibrium constant increases as the temperature increases then: A. ∆G0 > 0
B. ∆H0 <0
C. ∆S0 <0
D. ∆H0 > 0
E. ∆S0 >0
If the numerical value of the equilibrium constant increases as the temperature increases then, ∆S₀ < 0. (option C)
The equilibrium constant, K, is a measure of the relative concentrations of reactants and products at equilibrium. It is related to the standard Gibbs free energy change, ∆G₀, by the equation: ∆G₀ = -RT ln K, where,
R is the gas constant T is the temperature.Important points:
The equilibrium constant, K, is dependent on the temperature.As the temperature increases, the value of the natural logarithm (ln K) decreases.This means that as the temperature increases, the value of ∆G₀ becomes more negative.As ∆G₀ becomes more negative, the equilibrium constant, K, becomes larger.The standard Gibbs free energy change is related to the standard enthalpy change, ∆H₀, and the standard entropy change, ∆S₀, by the equation: ∆G₀ = ∆H₀ - T∆S₀As ∆G₀ becomes more negative, it means that either ∆H₀ is more negative or ∆S₀ is more positive.Since ∆H₀ is not directly related to temperature, it means that ∆S₀ is more positive.Therefore, as the temperature increases, the equilibrium constant increases, which is accompanied by an increase in entropy and ∆S₀ < 0This is because as the temperature increases, the kinetic energy of the particles increases which leads to more molecular collisions and more disorder. This increase in disorder causes the entropy of the system to increase and the Gibbs's free energy to decrease.In conclusion, as the temperature increases, the numerical value of the equilibrium constant increases, and ∆S₀ < 0.
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what is the range of the effective focal length of the lens of the eye for this person?
Although the human eye has a focal length of approximately 22 mm.
What is the effective focal length of the eye?Focal length is defined as the distance between the point of convergence of lens and the sensor that recording the image. The focal length of the digital camera lens indicates how much of the image your camera will be able to capture.
This is deceptive because the back of our eyes is curved, the periphery of our optical field contains progressively less particularly than the center, and the scene we discern is the combined result of both eyes. The cornea and eye lens have focal lengths of 2.3 and 6.4 cm, subsequently.
The eye has a nominal focal length of roughly 17mm, but it varies with housing. The nature of human binocular vision, which uses two lenses rather than a single one,
So we can conclude that A person having a myopic eye uses a hollow lens of focal length 50cm.
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On Earth the average atmospheric pressure at the surface is 1013254 Pa. If we assume that the radius of Earth is 6.4 x 106m and the acceleration of gravity is 9.8 m/s2, what is the mass of Earth's atmosphere? Hint: You will need to use the equations for force, pressure, and the surface area of a sphere, but you will need to analyze the units to confirm how these get combined.) Use the following values to solve this problem. 1 atm = PEarth=101325 Pa; REarth-6,4x10ºm; g = 9.8 m/s^2? Ending units: ___
Answer:
13
Explanation:
im rhe smartest person on the erth i j knos jts 13
a charged capacitor stores 10 c at 40 v. its stored energy is:
The energy stored in the capacitor dus to 10C charge and 40V potential difference is 200 Joules.
Firstly we will need to calculate the capacitance of the capacitor. It will further help in calculation of stored energy. The formula to be used for each of the following is -
Q = CV and E = 1/2CV², where Q represents charge, E represents energy, C is capacitance and V is voltage.
Keep the values in formula -
C = 10/40
Performing division
C = 1/4
E = 1/2×1/4×40²
Taking square
E = 1/2×1/4×1600
Performing multiplication and division
E = 200 J
Hence, the stored energy is 200 Joules.
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At the same temperature, which move with the greater speed in the air?
A.heavier molecules
B.very light molecules
C.All will have equal average speeds.
Option C is the correct answer .
What is velocity ?
Velocity, a quantity that indicates the speed and direction in which a point moves. Points always move tangent to the path. For example, for a circular path, its direction is always perpendicular to the line (radius) from the point to the center of the circle. The velocity magnitude (velocity) is the fraction of time a point moves along its trajectory.
If a point travels a certain distance along a path in a certain time interval, the average speed during that interval is equal to the distance traveled divided by the time taken. For example, the average speed of a train traveling 100 km in 2 hours is 50 km/h
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You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)
PLS HELP PLS IMMA GET A BAD GRADE
Answer:
Heavy clothes
Explanation:
If you were to hang out in the thermosphere, though, you would be very cold because there aren’t enough gas molecules to transfer the heat to you. This also means there aren’t enough molecules for sound waves to travel through.
An amoeba has 3.5 × 10^16 protons and a net charge of 1.1 pC.
1) How many fewer electrons are there than protons?
2) If you paired them up, what fraction of the protons would have no electrons?
(1) There are zero fewer electrons than protons.
(2) If you paired them up, the fraction of the protons that would have no electrons is zero.
What is the number of electrons?The of number of electrons present is calculated as follows;
pq - eq = q (net)
where;
p is the number of protonse is the number of electronsq (net) is the net chargeeq = pq - q (net)
e = ( pq - q(net) ) / q
e = ( 3.5 x 10¹⁶ x 1.6 x 10⁻¹⁹ - 1.1 x 10⁻¹² ) / ( 1.6 x 10⁻¹⁹ )
e = 3.5 x 10¹⁶
The number of fewer electrons than the proton = 3.5 x 10¹⁶ - 3.5 x 10¹⁶ = 0
Thus, if you pair them up, all the protons will have electrons.
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Can anyone help me on this question pls?
determine limit as t approaches infinity of f of t for f(t) if f is a solution to the logistic differential equation df over dt equals 2 tenths times the quantity 5 times f minus f squared over 2 end quantity with an initial value of f(0)
We know the Logistic Equation is dP/dt = r·P(1-P/K) . So twist the given derivative to the logistic form: dy/dt = 10·y(1-y/600) . Then we could see the K = 600 , which is the limit, the Carrying capacity.
To model population growth using a differential equation, we first need to introduce some variables and relevant terms. The variable t
will represent time. The units of time can be hours, days, weeks, months, or even years. Any given problem must specify the units used in that particular problem. The variable P will represent population. Since the population varies over time, it is understood to be a function of time. Therefore we use the notation P(t)
for the population as a function of time. If P(t)
is a differentiable function, then the first derivative dPdt
represents the instantaneous rate of change of the population as a function of time.
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A certain type of lens changes the direction of light rays from A to B. What property does
this illustrate?
The figure shows the polarization of light in the image.
What is light?We have to note that light is the form of energy that we can be able to see by the use of the optical eyes that we have. There are several propoerties of light that are also the properties of waves.
We should know that light is an electromagnetic wave and the polarization of waves can only occur in an electromagnetic wave. From A to B in the figure that have been shown, we can see the polarization of waves.
Thus the light waves are polarized.
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Blue and red laser beams strike an air-glass interface with incidence angle 50 ? .If the glass has refractive indices of 1.680 and 1.621 for the blue and red light, respectively, what will be the angle between the two beams in the glass?
The angle between the two beams in the glass to be 42.98°.
What is angle?Angle is a two-dimensional shape formed by two rays that start from the same point (called the vertex). Angles are measured in degrees, with a full circle being 360 degrees. The size of an angle can range from 0° (no angle) to 180° (a straight line). Angles that measure more than 180° are called reflex angles.
To solve this question, we must use Snell's law. Snell's law states that the ratio of the sine of the incidence angle to the sine of the refraction angle is equal to the ratio of the refractive indices. By applying this formula, we can calculate the angle between the two beams in the glass to be 42.98°.
To calculate this angle, we must first calculate the refraction angle for the blue and red beams. To do this, we can set up the following equations:
Sin (50°) / Sin (θb) = 1.680 / 1
Sin (50°) / Sin (θr) = 1.621 / 1
By solving for θb and θr, we can find that the refraction angles for the blue and red beams are 36.51° and 34.47°, respectively.
Now that we have the refraction angles for the blue and red beams, we can use the law of cosines to calculate the angle between them in the glass. The law of cosines states that the square of the angle between two sides of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides multiplied by the cosine of the angle between them.
We can set up the following equation to calculate the angle between the blue and red beams in the glass:
Cos (θ) = (36.51^2 + 34.47^2 - 50^2) / (2 * 36.51 * 34.47)
By solving for θ, we can find that the angle between the two beams in the glass is 42.98°.
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According to the given statement The angle between the two beams in the glass to be 42.98°.
What is angle?Angle is a two-dimensional shape formed by two rays that start from the same point (called the vertex). Angles are measured in degrees, with a full circle being 360 degrees. The size of an angle can range from 0° (no angle) to 180° (a straight line). Angles that measure more than 180° are called reflex angles.
To solve this question, we must use Snell's law. Snell's law states that the ratio of the sine of the incidence angle to the sine of the refraction angle is equal to the ratio of the refractive indices. By applying this formula, we can calculate the angle between the two beams in the glass to be 42.98°.
To calculate this angle, we must first calculate the refraction angle for the blue and red beams. To do this, we can set up the following equations:
Sin (50°) / Sin (θb) = 1.680 / 1
Sin (50°) / Sin (θr) = 1.621 / 1
By solving for θb and θr, we can find that the refraction angles for the blue and red beams are 36.51° and 34.47°, respectively.
Now that we have the refraction angles for the blue and red beams, we can use the law of cosines to calculate the angle between them in the glass. The law of cosines states that the square of the angle between two sides of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides multiplied by the cosine of the angle between them.
We can set up the following equation to calculate the angle between the blue and red beams in the glass:
Cos (θ) = (36.51^2 + 34.47^2 - 50^2) / (2 * 36.51 * 34.47)
By solving for θ, we can find that the angle between the two beams in the glass is 42.98°.
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Four forces of magnitude 10N 5N 4N and 6N act on an object in the direction of north west east and south respectively find the magnitude and direction of their resultant
The magnitude and direction of the resultant force (F=10N+5N+4N+6N) when four forces of magnitude 10N, 5N, 4N, and 6N operate on an object in the directions of north, west, east, and south, respectively, is 25N.
What do you mean by magnitude?In terms of physics, magnitude is just "distance or quantity." It displays an object's size, direction, or motion in absolute or relative terms. It is employed to indicate the size or scope of something. The word "magnitude" in physics frequently denotes a size or quantity.. Something's magnitude is determined by its size. For example, a car moves faster than a bike with terms of speed. The speed difference between the car and the bike in this case is greater. It reveals the absolute or relative size or direction that an object moves when in motion.
What is magnitude of speed?Speed is defined as the magnitude of velocity, and the magnitude of the slope of the displacement-time graph provides the speed. Since the slope gets steeper as we move from A to B, Speed is increased as a result between points A and B.
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After rubbing two balloons against a sweater, each are held 0.75 meters apart. One balloon has a charge of 2.6 E-6 C. The other
balloon has a charge of 2.2 E-7 C. Calculate the electrical force between them.
Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper
number of significant digits to receive full credit.
When they are held 0.75 meters apart and have a charge of 2.6E-6 C and a charge of 2.2E-7 C, the electrical force between them is 0.0366 N.
What is force?A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity because it has both magnitude and direction. Force is an external agent that can change the state of rest or motion of a body. It has a magnitude as well as a direction. The direction of the force is the point where force is applied, and the application of force is the point where force is applied.
Here,
Qa=2.6*10^-6 C
Qb=2.2*10^-6 C
k=9*10^9
r=0.75/2
=0.375 m
F=k*Qa*Qb/r²
=9*2.6*2.2*10^-4/(0.375)²
=0.0366 N
The electrical force between them when each are held 0.75 meters apart and has a charge of 2.6E-6 C and a charge of 2.2E-7 C is 0.0366 N.
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How would you describe the forces in the magnetic field in the picture above? Are they attractive or repulsive? Explain your answer.
The forces in the magnetic field is attractive in nature. Force of attraction is a force that pulls body near due to its attraction.
What is attractive and repulsive forces?There are number of attractive forces prevailing in nature and some of them are magnetic force, electric force, electrostatic force and gravitational force.
Magnetic force, is attraction or repulsion that arises between electrically charged particles because of their motion. Magnetic forces are non contact forces as they pull or push on objects without touching the and magnets are only attracted to few 'magnetic' metals.
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In the figure (Figure 1) block B is falling and dragging block A across a table. How many force vectors would be shown on a free-body diagram of block A? O 0
O 1
O 2 O 3 O 4
O 5
On a block A free-body diagram for a given figure, there would be 4 force vectors displayed. As an object with both magnitude and direction, a vector is defined.
As an object with both magnitude and direction, a vector is defined as. Moving an object from one position to another is described by a vector. By using a directed line segment, vector mathematics can be geometrically represented. Generally speaking, the term "magnitude" refers to a size or distance. We can relate the magnitude of a movement to an object's size and motion speed. A thing or an amount's magnitude is determined by its size. A automobile moves more quickly than a motorcycle, just like in terms of speed. Vector and scalar quantities both frequently employ magnitude as a factor.
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If you break a magnet into 10 pieces,how many pieces will be there in the north and how many in the south
Answer to win a cookie!!
Acceleration and Velocity
Answer:
acceleration an velocity are two different types of hate for each individual to choose from my favorite ones and not just one for me like you said you would have to pay for the person you want and you will need to pay for your business.
Explanation:
no exceptions
4- Find the required time for a car to move 98 m if it starts from rest and acceleration at 40 m/s2?
Answer:
t = 2.21 s
Explanation: s = 98 m
u = 0 m/s
a = 40 m /s ^2
Using the second equation of motion :
s = ut + 1/2 at ^2
98 = 0 × t + 1/2 × 40 × t × t
98 = 0 + 20 t ^2
98 = 20 t ^2
98 / 20 = t ^2
4.9 = t ^2
t = √ 4.9
t = 2.21 s
Which article has a more formal tone? Support your answer with details from both texts. From "The ever-changeing sky
The article "Sunrise, Sunset...or Not?" by ReadWorks has a more formal tone compared to "The Ever-Changing Sky" by Megan McGibney.
What is the formal tone about?In "Sunrise, Sunset...or Not?" the author uses scientific and technical terms such as "counterclockwise," "Arctic Circle," and "phenomenon," and provides a detailed explanation of the scientific reasoning behind the rising and setting of the sun.
In contrast, "The Ever-Changing Sky" by Megan McGibney has a more casual tone, using more colloquial language such as "clear day," "bright and shiny," and "People have always looked up at the sky with wonder." The author also uses phrases like "guess how long" and "right!" which implies that the author is addressing a less formal audience and is being conversational.
In all, "Sunrise, Sunset...or Not?" has a more formal tone because of its use of technical language, explanation of scientific concepts, and a generally informative and explanatory writing style.
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Sunrise, Sunset...or Not?
by ReadWorks
The sun is a wonderful thing for Earth. It is a star that heats the planet and makes life on
Earth possible. In addition, its light shines onto the planet. It is Earth's ultimate source of
energy.
Summer days may be longer than winter days, but for most people, the sun seems to do the
same thing each day: it appears to come up in the east for the day, and it appears to go down
in the west for the night. The sun looks like it rises in the east and sets in the west because of
how the earth spins in space. It spins toward the east, or counterclockwise. This means that
when most people look at the sky in the morning, the sun will first appear in the east.
The earth takes 24 hours to complete one turn. For most places on Earth, there is a daytime
and nighttime every 24 hours. But in some places for many days at a time, the sun might stay
up in the sky, or it might not even come up above the horizon.
In some parts of the world, the sun can be up in the sky for months. During part of the spring
and summer in Earth's Northern Hemisphere, the Northern Hemisphere is tilted towards the
sun so much that the sun in northern Alaska, which is located in the Arctic Circle, never goes
below the horizon. The Arctic Circle is an area at the top of the earth. In Barrow, Alaska, the
sun doesn't set for almost three months! This phenomenon is called the midnight sun, when
the sun has not set at midnight. Try sleeping through that!
During parts of the fall and winter in Earth's Northern Hemisphere, the Northern Hemisphere
is tilted in such a way that the sun doesn't come over the horizon in northern Alaska for a little
over two months. Therefore, nights last more than 24 hours. This phenomenon is called the
polar night. Although the sun never rises above the horizon during parts of the fall and winter
in the Arctic Circle, enough light often shines so that people who live there don't need
The Ever-Changing Sky
The Ever-Changing Sky
by Megan McGibney
Look up at the sky on a clear day. You will see the sun. It is bright and shiny, warming much of
what its light touches. Look up at the sky again at night. You may see the stars. They are also
bright and shiny, glimmering in the dark sky. You may also see the moon. It looks bright and
shiny, reflecting light from the sun. People have always looked up at the sky with wonder.
Some have even studied the sun, moon, and stars. These people, called astronomers, have
learned that those objects in the sky do not stay in the same place all the time.
The Ever-Changing Sky
extra quarter of a day.
Let's take a closer look at the moon. The earth does not revolve around the moon. Instead,
the moon revolves around the earth. It takes the moon about four weeks to complete a
revolution around the earth. The portion of the moon we, here on Earth, see changes over
this period of about four weeks as the moon's position around the earth changes. The
moonlight we see at night is the moon's reflection of sunlight onto Earth. The different ways
the moon appears to us are known as the moon's phases. The moon's phases depend on the
moon's position in relation to the earth and the sun.
The four-week period starts and ends with the new moon. The new moon cannot be seen
because the side of the moon lit by the sun is facing away from the earth.
Use the articles "The Ever-Changing Sky" and "Sunrise, Sunset...or Not?" to answer
questions 6.
6. Which article has a more formal tone? Support your answer with details from both texts.
Answers will vary.
A heat engine using a monatomic gas follows the cycle shown in the figure. Part A Find WS, Q, and delta Eth for the process 1 - > 2. Express your answers using three significant figures separated by commas. Part B Find Ws, Q, and delta Eth for the process 2 - > 3. Express your answers using three significant figures separated by commas. Part C Find Ws, Q, and delta Eth for the process 3 - > 1. Express your answers using three significant figures separated by commas. Part D What is the thermal efficiency of this heat engine? Express your answer using two significant figures.
The heat engine follows the cycle shown in the figure, and the thermal efficiency is calculated to be 35.6%. For process 1-2, WS = -7.14 J, Q = -20.04 J, delta Eth = -12.90 J; for process 2-3, WS = -7.14 J, Q = -7.14 J, delta Eth = -12.90 J; for process 3-1, WS = 7.14 J, Q = 13.21 J, delta Eth = 5.07 J.
Part A: WS = -7.14 J, Q = -20.04 J, delta Eth = -12.90 J
Part B: WS = -7.14 J, Q = -7.14 J, delta Eth = -12.90 J
Part C: WS = 7.14 J, Q = 13.21 J, delta Eth = 5.07 J
Part D: Thermal Efficiency = 35.6%
Part A: WS = -7.14 J, Q = -20.04 J, delta Eth = -12.90 J
To calculate WS, Q and delta Eth for process 1-2, we need to calculate the change in internal energy between the two states. The internal energy of a monatomic gas is given by U = 3/2*n*R*T, where n is the number of moles of the gas, R is the ideal gas constant and T is the temperature.
For process 1-2:
U2 - U1 = -12.90J
To calculate Q, the equation Q = U2 - U1 can be used.
Q = U2 - U1 = -12.90J
To calculate WS, the equation WS = Q - (U2 - U1) can be used.
WS = Q - (U2 - U1) = -20.04J - (-12.90J) = -7.14J
Part B: WS = -7.14 J, Q = -7.14 J, delta Eth = -12.90 J
To calculate WS, Q and delta Eth for process 2-3, we need to calculate the change in internal energy between the two states. The internal energy of a monatomic gas is given by U = 3/2*n*R*T, where n is the number of moles of the gas, R is the ideal gas constant and T is the temperature.
For process 2-3:
U3 - U2 = -12.90J
To calculate Q, the equation Q = U3 - U2 can be used.
Q = U3 - U2 = -12.90J
To calculate WS, the equation WS = Q - (U3 - U2) can be used.
WS = Q - (U3 - U2) = -12.90J - (-12.90J) = -7.14J
Part C: WS = 7.14 J, Q = 13.21 J, delta Eth = 5.07 J
To calculate WS, Q and delta Eth for process 3-1, we need to calculate the change in internal energy between the two states. The internal energy of a monatomic gas is given by U = 3/2*n*R*T, where n is the number of moles of the gas, R is the ideal gas constant and T is the temperature.
For process 3-1:
U1 - U3 = 5.07J
To calculate Q, the equation Q = U1 - U3 can be used.
Q = U1 - U3 = 5.07J
To calculate WS, the equation WS = Q - (U1 - U3) can be used.
WS = Q - (U1 - U3) = 5.07J - (-5.07J) = 7.14
Part D: Thermal Efficiency = 35.6%
The thermal efficiency of a heat engine is given by the equation η = (Wnet/Qh) x 100, where Wnet is the net work output of the engine and Qh is the heat input to the engine.
For this heat engine, Wnet = WS1 + WS2 + WS3 = 7.14J + (-7.14J) + (-7.14J) = -7.14J and Qh = Q1 + Q2 + Q3 = -20.04J + (-7.14J) + 13
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6) According to the law of reflection, the incident light ray, the reflected light ray, and the normal between them
A) lie in the same plane.
B) may or may not lie in the same plane.
C) lie in planes that are perpendicular to one another.
According to the law of reflection, the incident light ray, the reflected light ray, and the normal between them may or may not lie in the same plane. option (b) is correct.
What is law of reflection ?
The law of reflection is the idea that when light rays hit a smooth surface, their angles of incidence and reflection are equal. Additionally, the planes of the incident ray, the reflected ray, and the normal to the surface are all in alignment.
What is incident ray ?
The rectilinear light ray known as an incident ray is one that strikes a surface (surface). Angle of incidence is the angular relationship between this beam and the normal or perpendicular to the surface.
Therefore, according to the law of reflection, the incident light ray, the reflected light ray, and the normal between them may or may not lie in the same plane. option (b) is correct.
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1.
A 759 N diver drops from a board 10.4 m above the water’s surface. The acceleration of gravity is 9.81 m/s^2 . a) Find the diver’s speed 5.70 m above the water’s surface. Answer in units of m/s. Answer in units of m/s.
2. b) Find the diver’s speed just before striking the water. Answer in units of m/s. Answer in units of m/s.
3. c) If the diver leaves the board with an initial
upward speed of 3.00 m/s, find the diver’s
speed when striking the water.
Answer in units of m/s. Answer in units of
m/s.
(a) The diver’s speed 5.70 m above the water’s surface is 9.6 m/s.
(b) The diver’s speed just before striking the water is 14.28 m/s.
(c) The diver's speed when striking the water at the given initial velocity is 14.59 m/s.
What is the diver's speed 5.7 m above the water's surface?
The diver’s speed 5.70 m above the water’s surface is calculated by applying the principle of conservation of energy as shown below.
v = √ ( 2gh )
where;
g is acceleration due to gravityh is the height travelled by the diver from the starting pointh = 10.4 m - 5.7 m = 4.7 m
v = √ ( 2 x 9.8 x 4.7 )
v = 9.6 m/s
The diver's speed just before striking the water is calculated as follows;
v = √ ( 2gh )
where;
h is the height of fall of the diver = 10.4 mv = √ ( 2 x 9.8 x 10.4 )
v = 14.28 m/s
The diver's speed when striking the water at the given initial velocity is calculated as;
v² = u² + 2gh
where;
u is the initial velocity of the diverv² = (3)² + 2(9.8)(10.4)
v² = 212.84
v = √ (212.84)
v = 14.59 m/s
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Consider a situation where 1.5 grams of benzoic acid is dissolved in 75 mL of water. Use the value 9.5 for the distribution coefficient Kd, and calculate how much benzoic acid would remain in the aqueous phase after one extraction with 60 mL of ether. What percentage of the original benzoic acid was extracted into the ether phase?
Cocaine is a tropane alkaloid that has both local anesthetic and stimulant effects on the central nervous system (CNS).
Cocaine inhibits the re-uptake of dopamine, serotonin, and norepinephrine into pre-synaptic neurons by binding to the transport proteins for these neurotransmitters. As a result, the synaptic cleft accumulates more of the relevant neurotransmitters, which may boost postsynaptic receptor activation. Cocaine works by binding to and blocking the voltage-gated sodium channels in the membrane of neuronal cells to produce local anesthetic effects. Cocaine causes a reversible lack of feeling by stabilizing neuronal membranes, which prevents the start and conduction of nerve impulses. A benzoic acid ester, cocaine was first employed as a local anesthetic.
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1. Identify the three main types of energy that play a role in Earth's processes.
2. Refer to the stages of the water cycle below to describe how energy moves between Earth's surface and atmosphere.
GIVING BRAINLIEST
The three main types of energy that play a role in Earth's processes are: solar energy, kinetic energy, and potential energy.
Solar energy refers to the energy from the sun, which drives many of Earth's processes, such as weather patterns, ocean currents, and photosynthesis.Kinetic energy is the energy of motion and is associated with the movement of wind, water, and ice.Potential energy is stored energy and is associated with the position or condition of an object, such as water stored in a reservoir or the energy stored in the bonds of molecules.What is the water cycle?In the stages of the water cycle, energy moves between Earth's surface and atmosphere in the following way:
Evaporation: Solar energy heats water on the surface of Earth, causing it to evaporate and turn into water vapor. This releases potential energy stored in the water molecules and turns it into kinetic energy of motion.Condensation: As water vapor rises into the atmosphere, it cools and condenses into tiny droplets or ice crystals. This releases kinetic energy of motion and turns it back into potential energy stored in the bonds of water molecules.Precipitation: As the droplets or ice crystals grow larger, they fall to the surface of Earth as precipitation. This releases potential energy stored in the bonds of water molecules and turns it back into kinetic energy of motion.Runoff: The precipitation flows over the surface of Earth, picking up energy from the sun and from friction with the ground, and becomes runoff. This energy becomes kinetic energy of motion.Infiltration: Some of the runoff seeps into the ground, where it is stored as potential energy in the bonds of water molecules.Therefore, energy moves between Earth's surface and atmosphere by the conversion of potential energy to kinetic energy and vice versa.
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Seasonal variation in solar radiation, temperature, and day length is due to the
A. tilt of the Earth's axis.
B. greenhouse effect.
C. Coriolis effect caused by the spinning of Earth on its axis.
D. sunspot activities at the surface of the Sun.
Option A is correct. It has been hypothesized that variations in solar output could have an impact on our climate, both directly by altering the pace.
Earth and atmosphere are heated by the sun and indirectly by altering cloud formation processes. Mid-latitude temperate regions exhibit larger seasonal variations in surface temperature than the poles or the tropics; from summer to winter, temperate zones see temperature changes of 8 to 15 degrees Celsius, compared to just 2 degrees Celsius in polar and tropical regions. Energy emitted from the sun in all directions is known as solar radiation. Solar radiation is not the energy that the planet emits. Cosmic rays are any radiation that is sent into space at random. Our seasons are more intense the more tilted Earth is because each hemisphere experiences more solar radiation during its summer.
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Determine the distance from lens 1 to the final image for the system shown in the figure.
What is the magnification of this image?
The distance from lens 1 to the final image for the system is -5.4 cm.
What does lens magnification mean?The height of an image divided by the height of an object is known as the magnification of a lens. Additionally, it is provided in terms of object and image distance. It is equivalent to the proportion of object distance to image distance. m = h ′ h = v u. m is the magnifying factor.
focal length of lens : f1 = -7cm ; f2 = 14cm
distance from the object : d1 = 24cm : d2= 35 cm
=> 1/f1 = 1/d1 + 1/di
=>1/-7 = 1/24 + 1/di
di=> -5.4 cm
Magnification of image = focal length/ (object distance - focal length).
How far away are the images?The distance between the object and the thin lines is known as the image distance. The image distance is the separation between the picture and the narrow lens. A feature of a narrow lens is its focal length, which specifies the distance at which parallel rays come into focus.
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Calculate the force necessary to accelerate a 20,000-lbm rocket vertically upward at a rate of 100 ft/sec2. Assume g = 32.2 ft/sec2.
365541.022 N is the force necessary to accelerate a 20,000-lbm rocket vertically upward at a rate of 100 [tex]\frac{ft}{sec^{2} }[/tex] .
20000 lbm = 9071 . 8474 kg
100 [tex]\frac{ft}{sec^{2} }[/tex] = 30.48 [tex]\frac{mts}{sec^{2} }[/tex]
and g = 9.814 [tex]\frac{mts}{sec^{2} }[/tex]
force required = mass * (acceleration of rocket + g)
= 9071.84748*(30.48+9.814)
= 365541.022 N
A force in physics is an impact that has the ability to change an object's motion. As a linear momentum, a force is one with both magnitude and direction. The force exerted on an object is equal to its mass times its acceleration, or Newton's second law, which is sometimes expressed as F=ma (a). Therefore, more force is required to accelerate an object with higher mass. Additionally, an item accelerates more quickly the more force it is under.
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a frog jumps as is moves. what is the relationship between maximum height & maximum range.
Explanation: A projectile motion is characterized by a motion whose path is alike to that of an arc. It already has its derived equations. For the maximum height H and the maximum range R, the equations are:
H = v₀²sin²θ/2g ; R = v₀²sin(2θ)/g
As you can observe, they are almost alike. Since they both contain v₀²/g, let's isolate this term for both equations:
v₀²/g = 2H/sin²θ
v₀²/g = R/sin (2θ)
Equating both equations:
2H/sin²θ = R/sin (2θ)
H = Rsin²θ/2sin(2θ)
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