Gauss' Law applies to all shapes, as I always remind my students. A charge could be placed within a cube and the flux could be calculated without it having to be a sphere.
With the aid of Gauss's law, how can you determine the electric field?We can instantly calculate the electric field at a point at height z from a uniformly charged plane in the xy-plane using the equations for flux and enclosed charge in Gauss's law: Ep=020n.Equation E=kQ/r2 allows us to calculate the electric field produced by a point charge.Gauss' Law applies to all shapes, as I always remind my students. A charge could be placed within a cube and the flux could be calculated without it having to be a sphere. The internal charge will remain constant, hence the overall flux will remain constant. What shape is used is irrelevant.To learn more about Gauss' Law refer to:
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Which of the following lists is written in order of decreasing particle size?
a. sandstone, siltstone, conglomerate
b. sandstone, conglomerate, siltstone
c. conglomerate, sandstone, siltstone
d. siltstone, sandstone, conglomerate
The correct decreasing order of the particle size is given below:
Conglomerate, Sandstone, Siltstone.
Conglomerates are those rocks, which have a particle size varying from the size of a pebble (2 mm) to the size of a boulder (256 mm).
Sandstones are those rocks, which have particle sizes varying from 1/16 mm to 2 mm. Sandstones are generally sand.
Siltstones (or generally silt) are those rocks, which have particle sizes varying from 1/256 mm to 1/16 mm.
Hence, the conglomerate has the largest particle size, the sandstone has a medium particle size and the siltstone has the smallest particle size.
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Steam at 100°C enters a radiator and leaves as water at 70°C. The mass of the
steam is 5.5 kg. Take the heat of vaporization to be 2.3x106 J/kg. How much
energy was released? Remember that Cwater = 4180 J/kg.K.
Answer:
below
Explanation:
to condense to water at 100 degrees C the steam gives off
5.5 kg * 2.3 x 10^6 j /kg of heat....then the water cools to 70 degrees C
Going from 100 to 70 C Gives off
(100 - 70) degree C * 4182 J kg /degree C * 5.5 kg
Total heat given off = 13 340 030 J
Answer:
Explanation:
Energy released= m*c*T(water)+m*L(Steam)
energy released= 5.5*(4180*30+2300000)
energy released=13339700J
The following gives the calorimetric values for water at various phases:
Latent heat of vaporization for water: 22.6 E5 J/kg
Specific heat capacity for liquid water: 4,186 J/kg°C
Specific heat capacity for steam is 2,080 J/kg°C
A 19-g sample of liquid water at 80.0 °C is converted to steam at 115 °C. Using the values from the table above, calculate the heat required for that conversion.
45,000 J
49,000 J
We can calculate the heat required to vaporize the liquid water into steam: q = m * L
q = 0.019 kg * 22.6 E5 J/kg = 4,241 J
So, the total heat required for the conversion of liquid water to steam is the sum of the two:
q = 2,958 J + 4,241 J = 7,199 J
Therefore, the heat required for the conversion of liquid water to steam is 7,199 J.
What is the latent heat of vaporization?The heat required to vaporize a liquid is known as the latent heat of vaporization. It is the amount of heat energy required to change the state of a substance from a liquid to a gas or vapour, without changing its temperature.
What is the importance of latent heat of vaporization?The latent heat of vaporization is a characteristic property of a substance and is specific to each substance. The value of the latent heat of vaporization is usually expressed in units of joules per kilogram (J/kg).
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used primarily in the united states for electricity generation: blank target 1 of 8 2. remains of ancient organisms, modified underground for long periods by temperature and pressure: blank target 2 of 8 3. the world's most abundant fossil fuel: blank target 3 of 8 4. a mixture of hundreds or thousands of different hydrocarbon molecules: blank target 4 of 8 5. primary fuel used in the united states for space and water heating: blanktarget 5 of 8 6. created very slowly and considered nonrenewable at current extraction rates: blanktarget 6 of 8 7. used primarily in the united states as a source of vehicle fuels: blanktarget 7 of 8 8. produces the least carbon dioxide per unit energy when combusted: blanktarget 8 of 8
Coal used primarily in the united states for electricity generation.
A readily combustible sedimentary deposit made primarily of carbon, coal is called. Black or brownish-black in color, coal is composed of more than 50% carbonaceous material by weight and more than 70% carbonaceous material by volume (including inherent moisture). It is made of plant remains that have undergone geologic pressure and heat been compacted, hardened, chemically changed, and metamorphosed.
The majority of the sites where coal is found worldwide, including in the United States, are where ancient forests and marshes formerly stood before being buried and compacted over millions of years. In the eastern United States, in the Appalachian basin, there are some of the greatest coal resources. In the United States, coal produced 23% of the electricity in 2021, which was less than natural gas plants and more than renewable energy or nuclear power. 19% of total generating capacity was coal.
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identify the INDEPENDENT and DEPENDENT variables in each of the following research statements
1) Studying the role of gender on reading scores.
2) Examining the effect of Prozac on symptoms of depression.
3) A researcher is interested in how the activity level of 4 year old children is affected by viewing a 30 minute
video of teenage mutant nijna turtles or a 30 minute video of elmo.
4) A therapist wants to test a new drug designed to increase the ability of teenagers with ADHD to take
accurate notes in class.
5) Participants taking part in a sleep study to determine whether the number of hours of sleep a person gets
determines how well they will do on an exam.
Answer:
Explanation:
INDEPENDENT DEPENDENT
1) gender reading scores
2) taking Prozac symptoms of depression
3) watching turtle video, activity level of 4 YOs
watching elmo video
4) Taking new ADHD drug accuracy of note-taking
5) # of hours of sleep exam scores
In science, a concept that is supported by a broad range of observations, experiments, and data is called a scientific
A scientific theory is a term used in science to describe a concept that has been widely supported by various observations, experiments, and data.
A scientific theory is a well-substantiated explanation of some aspect of the natural world that is based on a body of facts that have been repeatedly confirmed through observation and experimentation.
Theories explain why things happen and make predictions about future observations. They are considered to be well-established and widely accepted within the scientific community, and have been thoroughly tested and supported by evidence. Examples of scientific theories include the theory of evolution, the theory of gravity, and the theory of relativity.
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A new planet is discovered orbiting the Sun, and scientists have determined that the semi-major axis of its orbit is 10.5 AU. How many Earth years will it take for this
planet to orbit the Sun once?
Answer:
30.2 Earth years for the new planet to orbit the Sun once.
Explanation:
An AU (astronomical unit) is the average distance from the Earth to the Sun, approximately 93 million miles or 150 million kilometers. So a semi-major axis of 10.5 AU is roughly equivalent to 987.5 million miles or 1.58 billion kilometers.
The time it takes for a planet to orbit the Sun is called its orbital period. The formula for calculating the orbital period of a world is:
T = 2π * √(a^3 / G(M_s)), where T is the orbital period, a is the semi-major axis, G is the gravitational constant, and M_s is the mass of the Sun.
Since the mass of the Sun is known, we can use the formula to calculate the orbital period of the new planet:
T = 2π * √(10.5^3 / (4π^2)) ≈ 30.2 Earth years
So, it will take approximately 30.2 Earth years for the new planet to orbit the Sun once.
PLEASE HELP AS SOON AS POSSIBLE I NEED A LONG DETAILED ANSWER
According to section k of the cantilever, when a beam or frame is subjected to transverse loadings, the three potential internal forces that can be created are the normal or axial force, the shearing force, and the bending moment.
What force would it take to bring the beam to equilibrium?The object must be subject to zero net force, to start. The object's net torque must also be zero, which is the second condition. In other words, the static translational and static rotational equilibrium criteria need to be met.According to section k of the cantilever, when a beam or frame is subjected to transverse loadings, the three potential internal forces that can be created are the normal or axial force, the shearing force, and the bending moment.The object must be subject to zero net force, to start. The object's net torque must also be zero, which is the second condition.The complete question is,
What forces are at play when a beam is used?
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When two resistors are wired in series with a 12 V battery, the current through the battery is 0.30 A. When they are wired in parallel with the same battery, the current is 1.6 A. What are the values of the two resistors?
The two resistors have a value of 7.5 Ω each.
Let the two resistors be R1 and R2.
Since the resistors are in series, the total resistance is equal to the sum of the individual resistances: R = R1 + R2
We can determine the voltage between each resistor using Ohm's law:
V = IR
For R1:
V1 = I * R1
V1 = 0.30 A * R1
For R2:
V2 = I * R2
V2 = 0.30 A * R2
Since the total voltage across the battery is 12 V, we have:
V1 + V2 = 12 V
0.30 A * R1 + 0.30 A * R2 = 12 V
Solving for R1 and R2:
R1 = (12 V) / (0.30 A) = 40 Ω
R2 = (12 V - 0.30 A * R1) / (0.30 A) = (12 V - 0.30 A * 40 Ω) / (0.30 A) = 40 Ω
For the resistors wired in parallel:
Let's call the combined resistance Rp.
The resistance in a parallel circuit can be calculated using:
1/Rp = 1/R1 + 1/R2
Using Ohm's law, we can find the voltage across the resistors:
V = IR
For R1:
V1 = I * R1
V1 = 1.6 A * R1
For R2:
V2 = I * R2
V2 = 1.6 A * R2
Since the total voltage across the battery is 12 V, we have:
V1 + V2 = 12 V
1.6 A * R1 + 1.6 A * R2 = 12 V
Solving for R1 and R2:
R1 = (12 V) / (1.6 A) = 7.5 Ω
R2 = (12 V) / (1.6 A) = 7.5 Ω
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A motorboat, which has a speed of 5 meters per sec-
ond in still water, is headed east as it crosses a river
flowing south at 3.3 meters per second. What is the
magnitude of the boat’s resultant velocity with respect
to the starting point?
1. 3.3 m/s
2. 5.0 m/s
3. 6.0 m/s
4. 8.3 m/s
The magnitude of the boat’s resultant velocity with respect to the starting point is 6.0 m/s. Hence, option (3) is correct.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
The velocity of the boat in still water = 5 meters per second along east.
The velocity of stream = 3.3 meters per second along south.
Hence, the magnitude of the boat’s resultant velocity with respect to the starting point is = √(5² + 3.3²) m/s
=6.0 m/s.
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What is the atomic number of nitrogen (N)? The periodic table
Answer:7
Explanation:
:)
Answer: It's 7.
Explanation:
This means there are 7 protons and 7 electrons in the atomic structure.
Which of the following assertions are true no matter what proposition Q represents? For any false assertion, state a counterexample (i.e. come up with a statement Q(x,y) that would make the implication false). For any true assertion, give a brief explanation for why it is true. (a) Ex=yQ(x,y) = 3y=xQ(x,y). (b) Vx=yQ(x,y) = JyVxQ(x,y). (c) 2xvyQ(x, y) + VyHxQ(x, y). (d) Ex=yQ(x, y) = VyFxQ(x,y)
The true assertions are option (a) and (c).
if the two statements are logically equivalent then irrespective of the truth value of Q(x,y) the assertion given here always true
let Ex Ey q(x,y) is true then Ey q(x,y) is true for some x
therefor q(x.y) is true for some y
Ey Ex Q ( x,y) is true
b) for all value of x Ey Q(x,y) => Ey for all values of x Q(x,y)
let Q(x,y) = 3+y =x
for all values of Q(x,y) means for all x there is a y such that 3+y =x ( let x =8 then E 5 such that 3+5 =8 )
Ey for all values of x Q(x,y) means there is unique value of y that satisfies for all x inn the universe ie in this example for any choice of x these is
3+y=x that is not true
c) Ex for all values of y Q(x,y) => for all values of y Ex Q(x,y) it is logically true
for all values of Q( a,y) by existential instantiation
for all values of y Ex Q(x,y) by universal generalization.
d) Ex Ey Q(x,y) => for all values of y Ex Q(x,y)
Q( x,y) = y = [tex]x^2[/tex]
on the set of real numbers
Ex Ey Q(x,y) means for some real numbers x there is some real numbers satisfying y = [tex]x^2[/tex]
for all values of y Ey Q(x,y) is always there
but at the same time if y=-2, there is no real number x is satisfying [tex]x^2 = -2[/tex]
therefore, the assertion is not always true .
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The speed of light is 2.998 times 10^8 m/s. How far does light travel in 1.0 mu/s? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.
The distance that the light travels in 1.0 μs is 2.998 × 10⁸ m/s × 1.0 × 10⁻⁶ s. It is just a math expression obtained by the equation of speed.
What is the equation of speed?The equation of speed can be expressed as
Speed = Distance/Time
The speed of light = 2.998 × 10⁸ m/s. If the light travels in 1.0 μs, find the distance! Just set up the math and don't do any of it!
We know that μ (read miu or micro) is equal to 10⁻⁶ s.
We can use the equation above to find the distance that the light travels in 1.0 μs.
Distance = Speed × Time
Distance = 2.998 × 10⁸ m/s × 1.0 μs
Distance = 2.998 × 10⁸ m/s × 1.0 × 10⁻⁶ s
We only need the math expression, so that's the answer.
Hence, in 1.0 μs, the light travels in a distance of 2.998 × 10⁸ m/s × 1.0 × 10⁻⁶ s.
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fred (mass 60 kg ) is running with the football at a speed of 5.9 m/s when he is met head-on by brutus (mass 130 kg ), who is moving at 4.3 m/s . brutus grabs fred in a tight grip, and they fall to the ground.
They slide up to 0.0756 meters to the opposite direction.
What is Velocity ?
Velocity is a vector quantity that describes the rate of change of an object's position. It is equal to the displacement of an object divided by the time interval over which the displacement occurred. Velocity has both magnitude and direction, and its units are typically meters per second (m/s).
The velocity of an object can change over time due to acceleration, and if an object is moving in a circular path, it also has a component of velocity perpendicular to its direction of motion, known as centripetal velocity.
Conservation of momentum:
60x6 -120x4 =180.v
v = 120/180 = 2/3 m/s
After falling,
Kinetic energy = work done against friction
K= 0.5x180x(2/3)2 = 40 J
Work done against friction,
W = f.S = μ.(M +m)g.S = 0.3 x 180x9.8 x S
= 529.2 x S
Equating W = K and solving,
S = 40/529 = 0.0756 m= 7.56 cm
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PLS HELP IM DESPERATE ILL GIVE 100 POINTS PLS
Answer:
1 no =5m/s
2 no=10m/s
3no=15m/s
4no=15m/s
Explanation:
A car starts from rest at a stop sign. It accelerates at 2.0 m/s2 for 6.9 s, coasts for 2.0 s, and then slows down at a rate of 1.5 m/s2 for the next stop sign. How far apart are the stop signs?
The distance between the stop signs is 138.7 m. The car moves with acceleration and constantly.
How to count the total distance of a moving object?A car starts from rest at a stop sign. It accelerates at 2.0 m/s² for 6.9 s, coasts for 2.0 s, and then slows down at a rate of 1.5 m/s² for the next stop sign.
Determine the distance between the stop signs!
In this case, there are three conditions. The car is accelerated, moving constantly, and decelerated.
When the car is accelerated from rest, the distance is
x₁ = v₀t + ½ at²
x₁ = 0 + ½ (2.0)(6.9)²
x₁ = 1.0(47.61)
x₁ = 47.6 m
At t = 6.9 seconds, it reach the velocity of
v₁ = v₀ + at
v₁ = 0 + (2.0)(6.9)
v₁ = 13.8 m/s
When the car is moving constantly at 13.8 m/s, the distance is
x₂ = vt
x₂ = 13.8(2.0)
x₂ = 27.6 m
When the car is decelerated to a stop, the distance is
v₁² = v₀² - 2ax₃
0 = 13.8² - 2(1.5)x₃
190.44 = 3x₃
x₃ = 190.44/3
x₃ = 63.5 m
The total distance traveled will be
= x₁ + x₂ + x₃
= 47.6 + 27.6 + 63.5
= 138.7 m
Hence, the stop signs has a distance of 138.7 m.
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A company uses drones to fly food to people in regions that have experienced natural disasters. The food is packed in boxes that are attached to parachutes. How can the company change the design of its parachute to reduce the number of boxes that are damaged when they hit the ground? (1 point)
The company can design a parachute with more surface area.
The company can design a heavier parachute.
The company can design a smaller parachute.
The company can design a lighter parachute.
The parachute can be redesigned with more surface area by the company change it and make heavier. Thus, the correct option is B.
What is Air resistance?Air resistance is a force which is caused by the air. This force acts in the direction which is opposite to the direction in which the object is moving through the air.
We know that the way in which the parachute functions would be related to the way in which they are designed. We have to know that if the parachute is very heavy in weight, then it is going to take a shorter time for the parachute to reach the ground level because the air resistance would be overcome by the weight of the parachute only.
For the redesigning of the parachute. The best option is to ensure that the parachute is made in such a way that it is much heavier in weight and able to travel through air more easily.
Therefore, the correct option is B.
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a rock climber stands on a 50 m high cliff that juts into a pool of water. he threw two stones vertically downward 1.0 s apart and observed that they caused a single splash. the initial velocity of the first stone is 2.4 m/s. what is the acceleration of a?
The acceleration is g (the acceleration of gravity--- 9.8 m/s2 )
The initial velocity of the first stone is 2.4 m/s. what is the acceleration of a?
For the first stone:
The distance travelled is the initial velocity times time + distance for an acceleration from 0.
In this case, the acceleration is g (the acceleration of gravity--- 9.8 m/s2 )
So
d = vi * t + 1/2 * g * t2
Plug in the numbers:
50 = 2*t + 9.8/2 * t2
Put in standard format:
4.9t2 + 2t - 50 = 0
not obviously factorable, so use the quadratic formula:
t = (-2 ± √( 22 - 4*4.9*(-50)) ) / 2(4.9)
t = (-2 ± √984 ) / 9.8
t = (-2 ± 31.4) / 9.8
A negative value has no meaning so t = 29.4/9.8 = 3 (This is the (a) answer)
This is the time after the 1st throw that BOTH stones hit the water, so the time for the second stone is 2 seconds.
Use the same equations to get the initial velocity of the 2nd stone. (This time, you'll be entering d and t and solving for vi )
For the velocity hitting the water, use v = vi + g*t = vi + 9.8t
plug in vi and t, and solve
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I need help with this question
There is no single speed for terminal velocity because it depends on drag and the cross section of an item.
What does limiting velocity mean?(General Physics) The constant top speed attained by a body falling through a fluid, especially the atmosphere. The speed of a missile or projectile when it reaches its target (Firearms, Gunnery, Ordnance & Artillery).There is no single speed for terminal velocity because it depends on drag and the cross section of an item. On average, a human falling through the air on Earth reaches terminal velocity after about 12 seconds, covering around 450 meters or 1500 feet.The complete question is,
Is there a maximum terminal velocity?
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What are examples of devices that use electromagnetic waves? Check all that apply.
Examples of devices that use electromagnetic waves include the following below:
FM radiosMicrowavesTv remote controlsX-raysWhat are Electromagnetic waves?This is referred to as the type of waves that are created as a result of vibrations between an electric field and a magnetic field.
They propagate through space and carry momentum and electromagnetic radiant energy and example of devices which use this type of waves are microwaves which is used in heating food and other substances , x-rays which are used as a diagnostic tool etc.
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The ful question:
What are examples of devices that use electromagnetic waves? Check all that apply.
FM radios
microwaves
TV remote controls
alarm clocks
X-rays
use these expressions to find a formula for the mutual repulsive coulomb force, fcoulomb, due to like charges. this will give you a mathematical model, an equation, for fcoulomb in terms of r, l, and fgravity.
To find the formula for the mutual repulsive Coulomb force due to like charges, you can use the following equation:
Fcoulomb = (k * q1 * q2) / r²
Where k is the Coulomb constant, q1 and q2 are the charges of the two objects, and r is the distance between them.
You can also use the equation for gravitational force,
Fgravity = G * m1 * m2 / r²,
where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. This will give you an equation for Fcoulomb in terms of r, L, and Fgravity.
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Vector A has a magnitude of 74 units and points west, while vector B has the same magnitude and points due south. Find the magnitude and direction of a) A + B and b) A - B. Specify the directions relative due west.
Answer:here is your answer
Explanation:
a) The magnitude and direction of the sum of two vectors can be found by using the Pythagorean theorem and the concept of angles. If we consider A and B to be the components of the sum vector, then the sum vector can be represented as follows:
A + B = (74 units, West) + (74 units, South) = √(74^2 + 74^2) units, arctan(74/74) = 106 units, arctan(1) = 45° South of West
So, the magnitude of A + B is 106 units and the direction is 45° South of West.
b) The magnitude and direction of the difference of two vectors can be found similarly. If we consider A and B to be the components of the difference vector, then the difference vector can be represented as follows:
A - B = (74 units, West) - (74 units, South) = √(74^2 + 74^2) units, arctan(-74/74) = 106 units, arctan(-1) = 45° North of West
So, the magnitude of A - B is 106 units and the direction is 45° North of West.
A car accelerates uniformly from rest al reaches a speed of 24.8 m/s in 10.1 s.
T
diameter of a tire is 38.9 cm.
Find the number of revolutions the ti makes during this motion, assuming no sli ping.
Answer in units of rev.
The number of revolutions is 102.655 it makes during this motion, assuming no slipping.
V= u+ at
24.8= 0 + a× 10.1
a= (24.8/10.1) m/s²
s= ut +1/2at² = at²/2
= 24.8/10.1×2 × 10.1²
=125.24m
Circumference of tire = πd. =. 3.14 × 0.389= 1.22
Total revolution= 125.24/ 1.22 = 102.655
What is acceleration?
The measurement of a change in velocity called acceleration. Acceleration typically indicates a change in speed, albeit not necessarily. An object moving in a circular path at a constant speed is still moving forward because the direction of motion is shifting. Acceleration is the rate at which an object's velocity varies in relation to time in physics. Newton's Second Law states that an object accelerates as a result of the total of all the forces acting on it. The SI system uses the meter per second squared (m s2) as the measure of acceleration.
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you are holding an ice cube in your left hand> you touch it and find that it is hard and slick and cold
You are holding an ice cube in your left hand you touch it and find that it is hard and slick and cold due to temperature differences, heat started to flow from our body to ice.
Ice cube in your left hand feels cool because ice exist zero or even below zero degrees Celcius. but our body temperature is 37degree. Due to temperature differences, heat started to flow from our body to ice. Hence Ice feels colder on touching.
If two objects have different temperatures, heat will flow from the warmer object to the colder one depending on there temperature. For instance, when you hold an ice cube, heat is transferred from your warm hand to the cold ice and melts it. Your hand feels cold because it is losing heat energy.
This process occur due to thermal energy .Thermal energy refers to the energy contained within a system or energy stored inside the system that is responsible for its temperature. Heat is the flow of thermal energy .In other words thermal energy is the flow of heat.
Our body is at a temperature of 37C and our finger tips are at slightly lower temperature, but they are still much above the temperature of the ice cube at 0C.So, when we touch the ice cube, we transfer heat to the ice cube of our body and the loss of heat results in a lowering of temperature and that is sensed as cold.
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For the following circuit, find the energy stored in capacitor C4 for a supplied voltage of 2.7 Volts. The answer is in Micro Joules
C1=10 Micro Farad C2=5 Micro Farad
C3= 20 Micro Farad
C4= 10 Micro Farad
C1
C2
C3
11
24V
C4
The energy stored in the capacitor C4 is 36.5 μJ.
What is the energy stored in the circuit C4?
The energy stored in the circuit C4 is calculated by applying the following formula as shown below.
U = ¹/₂C₄V²
where;
C₄ is the capacitance of capacitor 4V is the voltage supplied in the circuitThe energy stored in the capacitor C4 is calculated as follows;
U = ¹/₂ (10 x 10⁻⁶) (2.7)²
U = 3.65 x 10⁻⁵ J
U = 36.5 x 10⁻⁶ J
U = 36.5 μJ
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What happens to the temperature of a confined gas if the volume doubles and the absolute pressure is reduced by a factor of 3?
When the volume is doubled and the absolute pressure is reduced by a third, the temperature of the trapped gas reaches two thirds of its initial temperature.
What is an ideal gas?This is a fictitious gas whose volume it occupies is negligible, this gas does not exist in real situations and the concept of an ideal gas is only theoretical.
By using the compound gas law equation for the given problem
P1V1/T1 = P2V2/T2
P2 = P1/3
V₂ = 2V₁
By substituting the pressure and volume values into the equation
= 2/3 x T1;
Therefore, the temperature of the trapped gas reaches 2/3 of its initial temperature.
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Which objects will likely have the smallest gravitational force between them?
A. Two tennis balls that are near each other
B. Two soccer balls that are near each other
C. Two tennis balls that are touching each other
D. Two soccer balls that are touching each other
Answer: A. Two tennis balls that are near each other
Explanation: The gravitational force between two objects depends on their masses and the distance between them. According to Newton's law of universal gravitation, the force of gravity is directly proportional to the product of the masses and inversely proportional to the square of the distance between the objects.
In this scenario and given the information provided, the tennis balls are near each other but not touching, the distance between them is small. Furthermore, tennis balls have relatively low mass and are smaller compared to soccer balls. So, the gravitational force between them will be relatively small.
Answer:
B. Two soccer balls that are near each other
Explanation:
You want to know the configuration of objects that has the least mutual gravitational attraction from ...
tennis balls near each othersoccer balls near each othertennis balls touchingsoccer balls touchingGravityNewton's law of universal gravitation says the force due to gravity between two objects is proportional to their masses and inversely proportional to the square of the distance between them.
This tells you that balls near each other will have less gravitational attraction than balls touching. This eliminates choices C and D.
Relative valueThe meaning of the word "near" each other comes into play here. If we assume that the geometry of concern has the balls at the same distance relative to their diameter, then we can look a the mass a and diameter of a soccer ball and a tennis ball to determine which pair will have less gravitational attraction.
Here are the relevant specifications:
soccer ball: 8.6-9" diameter, 400-450 g masstennis ball: 2.575-2.7" diameter, 56-59.4 g massThe fact that dimensions are mixed US and metric units is of no consequence. (The conversion factors will be the same in both cases.)
So, we can approximate the relative gravitational attraction with a "figure of merit" that is ...
fom = mass/diameter²
The attached calculator shows this figure of merit for the two ball types. The lesser value corresponds to the lesser force of gravity between soccer balls.
fom (soccer ball) ≈ 4.9
fom (tennis ball) ≈ 7.7
Two soccer balls near each other will have the smallest gravitational force.
If you throw a ball upward with an initial speed of 4m/s at 1.5m above the ground, find
c. the maximum height with respect to the ground.
Answer:
The maximum height with respect to the ground is 1.5m + 4m/s2 x (4m/s/2) = 6m.
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Students want to design an experiment to study gravity. They decide they will drop four objects with the same mass from the top of their school's bleachers. They will time how long each object takes to reach the ground. How can they improve confidence in the experiment's results? (1 point)
Drop each object 10 times and use the average of each object's fall times.
Drop all four objects at once.
Randomly select the order in which the objects are dropped.
Let a different student time the drop of each object.
The students can improve their confidence in the experiment's results by dropping each object 10 times and using the average of each object's fall times.
The correct option is A.
What is an experiment?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before.
Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
By taking repeated measurements in an experiment the accuracy and confidence of the experiment's results can be improved.
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Answer:
(Question) Melissa is working on the roof of her house. She drops a hammer and a nail. Why do both objects hit the ground at the same time?
(Answer) Earth’s gravity causes both objects to fall at the same rate.
(Question) Which of the following statements about gravitational mass is true?
(Answer) Gravitational acceleration is irrespective of mass.
(Question) Two objects fall from an apartment window sill at the same time. Object 1 lands on the sidewalk in 3.6 seconds. Object 2 lands on the sidewalk in 3.3 seconds. What can be concluded about the objects?
(Answer) Object 1 has more surface area than Object 2.
(Question) A company uses drones to fly food to people in regions that have experienced natural disasters. The food is packed in boxes that are attached to parachutes. How can the company change the design of its parachute to reduce the number of boxes that are damaged when they hit the ground?
(Answer) The company can design a parachute with more surface area.
(Question) Students want to design an experiment to study gravity. They decide they will drop four objects with the same mass from the top of their school’s bleachers. They will time how long each object takes to reach the ground. How can they improve confidence in the experiment’s results?
(Answer) Drop each object 10 times and use the average of each object’s fall times.
Explanation:
i just finished the quick check
Suppose three positively charged particles are constrained to move on a fixed circular track. If the charges were all equal, an equilibrium arrangement would obviously be a symmetrical one with the particles spaced 120o apart around the circle. Suppose that two of the charges are equal and the equilibrium arrangement is such that these two charges are 90o apart rather than 120o. What is the relative magnitude of the third charge?
The relative magnitude of the third charge would be greater than the other two charges.
This is because the system needs to be in equilibrium, and the forces on each of the particles need to balance out. Since two of the charges are equal and the equilibrium arrangement is such that they are 90° apart, this would mean that the repulsive force that they exert on each other is greater than if they were 120° apart.
Therefore, since their repulsive forces are greater, the magnitude of the third charge needs to be greater in order to balance out the repulsive forces of the two equal charges. This is because the third charge needs to exert a greater attractive force on the two equal charges in order to offset the greater repulsive force that they exert on each other.
Thus, the relative magnitude of the third charge needs to be greater than the other two charges in order to maintain equilibrium.
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