According to internal energy, the final volume is 19.75 liters.
We need to know about internal energy to solve this problem. For a closed system, with matter transfer excluded, the changes in internal energy are due to heat transfer and due to thermodynamic work done by the system on its surroundings. It can be determined as
ΔU = Q - W
where ΔU is the change in internal energy, Q is heat and W is work done.
From the question above, we know that
ΔU = -325 J
Q = 155 J
Vo = 15 L = 0.015 m³
P = 1 atm = 1.01 x 10⁵ Pa
By substituting the given parameter, we can calculate the work done
ΔU = Q - W
-325 = 155 - W
W = 480 joule
Find the final volume
W = P . (Vi - Vo)
480 = 1.01 x 10⁵ (Vi - 0.015)
Vi = 0.01975 m³
Vi = 19.75 liters
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a uniform electric field of magnitude 4.6 ✕ 104 n/c passes through the plane of a square sheet with sides 3.0 m long. calculate the flux (in n · m2/c) through the sheet if the plane of the sheet is at an angle of 60° to the field. find the flux for both directions of the unit normal to the sheet. unit normal with component parallel to electric field n · m2/c unit normal with component antiparallel to electric field n · m2/c
41.4 x 104 Nm2/C is the electric flux through the sheet.
How to find the electric flux?The electric flux through a planar area A is calculated as the product of the electric field, the area of the plane, and the cosine of the angle between the electric field and a vector that is perpendicular to the area.
Φ = E A cos θ -----1
By the question;
E = 4.6 x 10⁴ N/C
A = Area of the square = l² [l = length of the square]
=> A = (3m)² = 9m²
θ = 0° [since the electric field is perpendicular to the square sheet, then the area vector is parallel to the field]
Substitute the values in equation 1
Φ = 4.6 x 10⁴ x 9 x cos 0°
Φ = 4.6 x 10⁴ x 9 x 1
Φ = 41.4 x 10⁴ Nm²/C
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a soccer ball is kicked at an angle of 64° to the horizontal with an initial speed of 15 m/s. assume for the moment that we can neglect air resistance. (a) for how much time is the ball in the air?
Time taken by the soccer ball in the air when we neglect the air resistance is 2.75s
projectile motion - It is the motion of an object which projected into the air and moving under the gravity.
a soccer ball is kicked at an angle of 64° to the horizontal
initial speed = 15 m/s
Initial velocity in vertical direction is given as
[tex]V_{v} = V_{0}sin \theta[/tex]
[tex]V_{v} = 15sin(64)[/tex]
[tex]V_{v}[/tex] = 15× 0.8987
= 13.48m/s
time taken to reach the maximum height is given by
T =[tex]V_{v}[/tex] /g
where
[tex]V_{v}[/tex] is the velocity
g is the gravity
Ball comes downward with the same speed
then that time period is given by.
2[tex]V_{v}[/tex] /g
= 2× 13.48 /9.8
T = 2.75s
Time taken by the soccer ball in the air when we neglect the air resistance is 2.75s
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How are independent and dependent variable related? Give an example.
on which date will the sun’s altitude be highest for an observer at 23 degrees north latitude? on which date will the sun’s altitude be highest for an observer at 23 degrees north latitude? march 21 june 21 september 21 december 21
On June 21 the sun’s altitude will be highest for an observer at 23 degrees north latitude.
What is special on June 21?In the Northern Hemisphere, June 21 is both the longest day and the shortest night of the year. Here summer solstice occurs.
It is during this time that the Northern Hemisphere is closest to the Sun, and the Sun shines directly overhead on the Tropic of Cancer (23.5° North). North and south of the equator, the Tropics of Cancer and Capricorn, respectively, are located at latitudes of 23.5°.
At 5:14 a.m. Eastern time, the summer solstice occurs in 2022. As far north as the sun ever shines in the sky, it is exactly overhead the Tropic of Cancer at this particular moment.
The June solstice depends on the moment the Sun crosses its northernmost point from the celestial equator, not on any particular day or time on the calendar.
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Briefly explain how can you use the plot made in step 10 to determine the gravitational acceleration?
Answer:
The Force
Explanation:
Gravitational Acceleration is the Acceleration of a free fall of a object.
For this assignment, consider the fact that our country spends millions of dollars each year to explore space and to learn about the structure and composition of the universe. Why do you think learning about space is a priority for our country and why are we willing to spend so much money on it? Create a discussion post about your thoughts on space exploration, including why or why not you think space exploration should be a national priority and what you think scientists hope to learn by continuing to explore the makeup of the universe.
I think that our nation's leaders prioritize space education because they see the potential benefits for us in the future.
The phrase "space exploration" is used to describe any activities connected to the study of space. Space exploration has generally been one of the subjects that mankind have been interested in. However, fresh discoveries have been made in recent years as a result of technological advancements.The majority of people on Earth are interested in space exploration because we think we fully understand the Earth's space and we want to go beyond what is possible. But the question is: Should space exploration be a top priority for the country?Space exploration shouldn't, in my opinion, be a top priority for our government since the millions of money spent on it may be better spent on enhancing the lives of many people here on Earth and abroad.I don't mean to imply that space exploration is a topic that doesn't merit consideration and investigation. However, I do think that it shouldn't be a top priority. Instead of looking for life on other planets and potentially habitable spaces when we already have our place in the universe, we should consider that our reality is on Earth and use those resources to protect it from the environmental damage we have caused it.To know more about space exploration visit : https://brainly.com/question/1979086
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When placed inside of a magnetic field, the magnetic field that electrons generate aligns in the opposite direction of the applied magnetic field. This has what effect on the nucleus the electrons are around?.
The effect is that the electrons shield the nucleus from the magnetic field.
What is a magnetic field?A magnetic field is a vector field that explains the magnetic influence on moving electric charges, electric currents, and magnetic materials.
A force perpendicular to the charge's own velocity and the magnetic field acts on it when it moves through a magnetic field.
Moving electric charges generate magnetic fields.
Everything is constructed of atoms, and each atom has an orbiting nucleus that is composed of protons and neutrons.
Compass, motors, refrigerator magnets, railroad tracks, and modern roller coasters are all examples of objects that use magnetic force.
Charges that travel across its areas feel a force. All moving charges produce a magnetic field.
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I tried to solve this, not sure what I did wrong, nor what the question is actually asking for
In cartesian coordinates, we can write the position vectors as-
a) → r = 12.4 m , θ = 170° ↔ - 12.21 i + 2.15 j
b) → r = 4 cm , θ = 50° ↔ 2.57 i + 3.06 j
c) → r = 20 inches , θ = 210° ↔ - 17.32 i - 10 j
What are polar coordinates?It is two-dimensional coordinate system which uses a straight line distance (from a reference point) and the angle made by it (with respect to reference direction) to represent a point in the X-Y plane.
Given are the position vectors in polar coordinates of three points in X-Y coordinate system.
The transformation from polar coordinates (r, θ) into cartesian coordinates (x, y) is done using the following formulae -
x = r cosθ
y = r sinθ
a) → r = 12.4 m , θ = 170°
x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21
y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15
In cartesian form → ( -12.21 i + 2.15 j )
b) → r = 4 cm , θ = 50°
x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57
y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06
In cartesian form → ( 2.57 i + 3.06 j )
c) → r = 20 inches , θ = 210°
x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32
y = 20 x sin (210°) = 20 x -0.5= -10
In cartesian form → ( -17.32 i - 10 j )
Therefore, in cartesian coordinates, we can write the position vectors as -
a) → r = 12.4 m , θ = 170° ↔ - 12.21 i + 2.15 j
b) → r = 4 cm , θ = 50° ↔ 2.57 i + 3.06 j
c) → r = 20 inches , θ = 210° ↔ - 17.32 i - 10 j
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a cylindrical container 1.0 m tall contains mercury to a certain depth, d. the rest of the cylinder is filled with water. if the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
The pressure at the bottom of the cylinder is two atmospheres at the depth d will be 202650 Pa.
What is pressure?The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.
Calculate the size of that surface. Check to see that both numbers are expressed in the proper units, such as newtons/meters squared or pounds/inches squared. By the area, divide the force. The units of measurement for your pressure are pascals (Pa) or pounds per square inch (psi).
[tex]P = {P_{{\rm{atm}}}} + {\rho _1}gd + {\rho _2}g{h_2}[/tex]
[tex]{h_2} = \left( {1 - d} \right)\\P = 2\;{\rm{atm}}\\\begin{array}{c}\\P = \left( {2\;{\rm{atm}}} \right)\left( {\frac{{101325\;{\rm{Pa}}}}{{1\;{\rm{atm}}}}} \right)\\\\ = 202650\;{\rm{Pa}}\\\end{array}[/tex]
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What is a good way to turn an interview into a human interest story? A. By identifying a key quotation B. By making up some information C. By presenting two people as one D. By presenting the whole interview
Identifying a key quotation is a good way to turn an interview into a human interest story. Option A
This is further explained below.
What is a key quotation?Generally, Locating quotes that provide light on the underlying ideas of the text.
In conclusion, Being a good listener is the single most significant factor in determining one's level of success. "Accept both who you are and the heavenly purpose that you were created for.
Determine the obstacles that you face in your life and work on cultivating the self-discipline, fortitude, and strength necessary to overcome them in a way that is long-lasting so that you may continue to make progress.
Identifying a key quotation is a good way to turn an interview into a human interest story.
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Which graphs show the correct relationship between kinetic energy and mass? A. Graph representing a relationship between mass on the x-axis and kinetic energy on the y-axis. the line starts at the origin and increases upwards B. Graph representing the relationship between mass on the x-axis and kinetic energy on the y-axis. the curve starts at the origin and keeps on increasing C. Graph representing a linear relationship between mass on the x-axis and kinetic energy on the y-axis D. Graph representing a relationship between mass on the x-axis and kinetic energy on the y-axis. the line starts at the origin and increases as it goes with a small bend
The graph representing a linear relationship between mass [m] on the x-axis and kinetic energy (E[k]) on the y-axis is the correct graph.
What is Mechanical Energy ?Mechanical energy is the energy of either an object in motion or the energy that is stored in objects by their position. Mechanical energy is the sum of Kinetic and Potential Energy. Mathematically -
E [M] = E [K] + E [P]
Given is a set of statements that represents the relationship between mass and Kinetic energy of the body.
The Kinetic energy of the body is the energy of the body by virtue of its motion. Consider a body of mass 'm' moving with velocity 'v' in a straight line. The Kinetic energy of the body will be -
E [K] = 1/2 mv²
If we assume that the velocity remains constant, than the value of 1/2 v² will become constant (say A). Then, the equation can be written as -
E [K] = A × m ... Eq. 1
The general equation of a straight line representing a linear equation whose y - intercept is 0 is -
y = mx ... Eq. 2
Comparing Eq. 1 and Eq. 2, we get -
y = E [K] {Kinetic energy}
m = A {slope of line}
x = m {mass}
For A = 1
E [K] = m
E [K] [tex]\alpha[/tex] m
The graph will be linear in relationship with Kinetic energy along y - axis and mass along the x - axis. The graph is attached with the answer.
Therefore, the graph representing a linear relationship between mass [m] on the x-axis and kinetic energy (E[k]) on the y-axis is the correct graph.
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Advantages and disadvantages of reflecting telescope
Answer:
advantages is you can look at the stars disadvantage is don't look at the sun you will go blind
How many seconds would it take a boat to accelerate from 13 m/s to 26 m/s over a distance of 1.25 km?
Time taken by the boat to accelerate is 1 min 4 s.
How to calculate the time taken?V[tex]f_{2}[/tex] - V[tex]o_{2}[/tex] = 2 a X ,
a = Vf2 - Vo2 / 2 X
= (26 m/s)2 -(13m/s)2 / 2(1250m)
= 507 m2/s2 / 2.5 m = 0.203 m/s2
Solve for time using the equation with acceleration known.
Vf = at + Vo ,
t = Vf - Vo / a = 26m/s -13m/s/ 0.203 m/s2
= 64 s
= 1 min 4 s
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An object attached to one end of a spring makes 20 vibrations in 10 seconds. its angular frequency is? 0.79 rad/s 1.57 rad/s 2.0 rad/s 6.3 rad/s 12.6 rad/s
An object attached to one end of a spring makes 20 vibrations in 10 seconds, its angular frequency is 12.6 rad/s.
The quantity of complete waveforms produced per second is a wave’s frequency (f). This is equivalent to the quantity of cycles per second or oscillations per second.
In this instance, a spring-attached object causes 20 vibrations in 10 seconds. 20 vibrations in 10 seconds, in other words. S creates two vibrations in a second.
As a result, the object’s frequency is 2 Hertz.
The anglular frequencyAngular frequency, abbreviated “[tex]\omega[/tex]” is a scalar measure of rotation rate in physics. It describes the rate of change of the argument of the sine function, the rate of change of the phase of a sinusoidal waveform, or the angular displacement per unit of time.
Calculationу = 20/10
= 2 vibrations in 1 second
Then w = 2[tex]\pi[/tex]v = 4 x 3.14
=12.56 rad /s
Thus, the angular frequency is 12.56 rad /s
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When used at a wavelength of 1 micron, a telescope can resolve angles as small as 0. 1 seconds of arc. How small an angle could the telescope resolve when used at a wavelength of 5 microns?
Answer:
θ = 1.22 λ / D
Above is the formula calculated for a circular aperature
If the wavelength is multiplied by 5 then the angle of resolution would be 5 times as great or 5 * θ
5 * θ = .5 seconds
the asthenosphere is an important layer because it . 5) a) responds to forces by flowing as it is relatively strong b) responds to forces by staying rigid as it is relatively strong c) responds to forces by flowing as it is relatively weak d) responds to forces by staying rigid as it is relatively weak
The asthenosphere is an important layer because it responds to forces by flowing as it is relatively weak.
This is because the asthenosphere is solid, but mobile, meanwhile the lithosphere is solid and relatively rigid.
What is asthenosphere?The Earth's upper mantle contains an area known as the asthenosphere, which is ductile and mechanically fragile. Between 80 and 200 km (50 and 120 mi) below the surface, it is located beneath the lithosphere, and it can reach a depth of 700 km (430 mi). It is difficult to determine the asthenosphere's lower border, though.
Despite the asthenosphere being almost completely solid, its mechanical weakness is caused by a tiny quantity of rock melting (less than 0.1% of the rock). This is the primary source of magma on Earth because as it wells higher, more extensive decompression melting of the asthenosphere occurs.
It is where some magmas that erupted above subduction zones or in areas of continental rifting, as well as mid-ocean ridge basalt (MORB), originated.
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URGENT! PLEASE HELP
(I will give brainliest!)
please detail it
Essay: list two major type of waves: contrast their structure and the motion of particles in the transmitting substance
Answer:
While waves that travel within the depths of the ocean are longitudinal waves, the waves that travel along the surface of the oceans are referred to as surface waves. A surface wave is a wave in which particles of the medium undergo a circular motion.
Explanation:
Are you satisfied or I should continue in the comments.
Alcohol thermometer cannot measure the temperature of boiling water, why?
Answer:
Because it has a limit of up to 80°C
Explanation:
In the mass spectrum of pentane, the presence of a peak with m/z = 15 is most likely to the detection of:_________-
In the mass spectrum of pentane, the presence of a peak with m/z = 15 is most likely due to the detection of A) methyl radical cation that has been lost from the spectrum.
Mass SpectrumThe m/z ratios of any ions contained in a sample displayed against their intensities that forms a mass spectrum.
The height of the peaks in any kind of mass spectrum denotes the relative abundance of the various components in the sample, and each peak in a mass spectrum displays a component that a distinct m/z is in the sample.
How do mass spectra function?Only when a molecule has been transformed into a gas-phase ion can a mass spectrometer calculate the mass of the molecule.
In order to do this, it gives molecules an electrical charge and transforms the flow of electrically charged ions that results into a proportional electrical current that a data system can subsequently read.
Give an example of the mass spectral range.Whenever any molecules are ionized in an ionization box, many different kinds of ions have been created.
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Complete Question
In the mass spectrum of pentane, the presence of a peak with m/z = 15 is most likely to the detection of: _________-
A) Methyl Radical
B) Ethyl Radical
C) Propyl Radical
D) Butyl Radical
a race car starts from rest and travels east along a straight and level track. for the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by vx(t)
The acceleration is aₓ = 7.54 m/s².
How to find the acceleration?The rate at which an item changes its velocity is known as the vector quantity known as acceleration.
When an object's velocity changes, it is said to be accelerating.
uₓ(t) = (0.980 m/s³) t²
The time-dependent derivative of velocity is acceleration.
aₓ(t) = 2 (0.980 m/s³) t
aₓ(t) = (1.96 m/s³) t
When,
uₓ = 14.5 m/s, the time is:
14.5 m/s = (0.980 m/s³) t²
t = 3.85 s
Connecting to the acceleration equation,
aₓ = (1.96 m/s³) (3.85 s)
aₓ = 7.54 m/s²
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2. A car accelerates uniformly from +10.0 m/s to +40.0 m/s over a distance of 125 m. How long did it take to go that distance? Show all your work, including the equation used, given and unknown quantities, and any algebra required. Make sure your answer has the correct number of significant figures.
The time taken for the car to cover the distance of 125 m is 5 seconds
How to determine the timeFrom the question given above, the following data were obtained:
Initial velocity (u) = 10 m/sFinal velocity (v) = 40 m/sDistance (s) = 125 mTime (t) =?The time taken for the car to cover the 125 m distance can be obtained as illustrated below:
s = (u + v)t / 2
125 = [(10 + 40) × t] / 2
125 = (50 × t) / 2
Cross multiply
50 × t = 125 × 2
50 × t = 250
Divide both sides by 50
t = 250 / 50
t = 5 s
Thus, the time taken by the car to cover the 125 m distance is 5 seconds
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A solid cylinder (radius = 0.150 m, height = 0.120 m) has a mass of 6.70 kg. This cylinder is floating in water. Then oil ( = 725 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of the height of the cylinder is in the oil?
Answer:
0.0917 m
Explanation:
Fnet = 0
Fb1 + Fb2 - mg = 0
ρ1V1g + ρ2V2g - mg = 0
(725)V1(9.8) + (1000)V2(9.8) = (6.70)(9.8)
7105V1 + 9800V2 = 65.7
Volume of cylinder = pi * r^2 * h = 8.48 * 10^-3 m^3
let x = percentage of volume in oil
V1 = (8.48 * 10^-3)x
V2 = (8.48 * 10^-3)(1-x)
7105(8.48 * 10^-3)x + 9800(8.48 * 10^-3)(1-x) = 65.7
x = 0.764
Height in oil = Total height * x = (0.120 m)(0.764)
Height in oil = 0.0917 m
What is the mass of a cannonball if a force of 2,500 n gives the cannonball an acceleration of 200 m/s2? 12.5 kg 12.5 kg 15.0 kg 15.0 kg 20 kg 20 kg 25 kg
The mass of the cannonball is 12.5 kg.
Force on cannonball = 2500N
Acceleration on cannonball= 200 m/s²
From, Newton's second law of motion
Force = Mass × Acceleration
Mass = [tex]\frac{Force}{Acceleration}[/tex] .......(i)
Now, putting the values in equation (i),
Mass = [tex]\frac{2500}{200}[/tex]
Mass = 12.5 kg
Thus, the mass of the cannonball is 12.5 kg.
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To extend the range of an ammeter, a(n) _____ can be added. these are connected in _____ to the meter movement coil.
Answer:
A "resistor" can be connected in "parallel" to the meter
Suppose that an ammeter reads from 1-10 amps.
Now add a resistor in parallel to the ammeter where the resistor has the same value as the resistance of the ammeter - Now the ammeter will read 1-20 amps because only 1/2 the current passes thru the ammeter.
By what factor does the rate constant increase when the temperature increases from 200. k to 400. k for a reaction with an activation energy of 845 j/mol?
The rate constant increases by a factor of 1.3 when the temperature increases from 200k to 400k for a reaction with an activation energy of 845 j/mol.
Calculationln k2/k1 = 845/8.314 (1/200 - 1/400)
ln k2/k1 = 0.254
k2/k1 = 1.3
How are k1 and k2 the rate constants determined?The Arrhenius equation, which has the form lnk=RE(T1T1), relates the activation energy (Ea) and rate constants (k1 and k2) of a chemical process at two distinct temperatures (T1 and T2).
Where T1 and T2 are the temperatures of rates k1 and k2 (respectively) in K, k1 and k2 are rate constants, Ea is the activation energy in J/mol, and R is the gas constant which has a value of 8.314 J/K mol.
The activation energies employed were 20.1 kJ/mol and 59.8 kJ/mol.
K1 and K2 are what temperature?The rate constants K1 and K2 are 1016 e-2000/T and 1015 e-1000/T, respectively, for two distinct reactions.
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The same runner then moves from position 12m to position 20m. what is the distance traveled during this segment of the motion?
Distance = Displacement = 8 meters.
While a person's displacement is equal to the shortest path taken, their total distance travelled is equal to their whole trip.
What is displacement?The displacement in geometry and mechanics is the smallest separation between the beginning and end positions of a point P.It determines the length and direction of the net motion, also known as the total motion, along a straight line from the point trajectory's starting point to its ending point.A displacement may be discovered by using the translation that joins the starting point and ending point.The overall distance travelled by a person is equal to their entire trip, but their displacement is equal to the shortest path they took.To know more about displacement ,refer to the following link:
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The buildup of thermal energy in a collapsing gas cloud leads to thermal pressure that can halt the gravitational collapse. What must happen for the gravitational collapse to continue?.
Answer:The buildup of thermal energy in a collapsing gas cloud leads to thermal pressure that can halt the gravitational collapse. What must happen for the gravitational collapse to continue? The cloud must radiate away some of its thermal energy.
Explanation:
CALCALATE the temperature change when 1000j of heat is supplied to 100g of water
Answer:
2.39 °C
Explanation:
Specific heat of water = 4187 j / kg °C (You eaither have to be given this, or know this or look it up)
100 g of water = .1 kg of water
1000 j / (.1 kg * °C) = 4187 j / (kg °C)
solve for C = 2.39°C
different rose bushes are grown in a greenhouse for two months the number of flowers on each bushes is counted at the end of the experiment what is the independent dependent and control variable
The independent variable is the type of rose, and the dependent variable is the quantity of flowers.
What is independent variable?In mathematical modelling, statistical modelling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.
Consider what is being recorded first in order to identify the variables; in this situation, it would be the variety and quantity of roses cultivated.
Asking yourself which one depends on which other will help you distinguish between which is reliant and which is independent.
Is it more likely that the number of flowers determines the type of rose?
Or does the type of rose affect how many blossoms are present?
Saying that a rose's kind depends on how many blossoms it has is illogical.
However, it does make sense to state that the type of rose affects how many blossoms are there.
As a result, the independent variable is the type of rose, and the dependent variable is the quantity of flowers.
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A car travels up a hill at a constant speed of 33 km/h and returns down the hill at a constant speed of 72 km/h. calculate the average speed for the round trip.
The average speed for the round trip is 90.51 km/hr when a car travels up a hill at a constant speed of 33 km/h and returns down the hill at a constant speed of 72 km/h.
To find the average speed for the round trip, the given values are,
constant speed v₁ = 33 km/hr
constant speed v₂ = 72 km/hr
What is average speed?The average speed of the car is defined as the ratio of the total distance travelled by the car to the total time taken by the car.Average speed = total distance traveled / total time taken
Let d is the total distance traveled by the car.
Thus , distance traveled in each journey is d/2.
So, the time taken for going up the hill is t₁ = (d/2) / v₁
= (d/2) / 33
= d / 66
Next, the time taken for going down the hill is t₂ = ( d/2 ) / v₂
= ( d/2) / 72
= d / 144
Thus, average speed is v avg = 2d / ( t₁ + t₂ )
= 2d / ( ( d/66)+(d/144))
= 2d / (210d / 9504)
= 2d / 0.0220959
= 90.51 km/hr.
The average speed of the round trip is 90.51 km/hr.
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