The initial temperature of the metal should be 68.02°C if it is to vaporize 20.54 ml of water initially at 75°C.
To solve this problem, we need to use the heat equation:
q = m * c * deltaT
where q is the heat absorbed or released by a substance, m is the mass of the substance, c is the specific heat of the substance, and deltaT is the change in temperature.
In this case, we want to find the initial temperature of the metal, so we need to use the heat equation for both the metal and the water and set the two equations equal to each other.
For the water:
q1 = m1 * c1 * deltaT1
where q1 is the heat absorbed by the water, m1 is the mass of the water, c1 is the specific heat of water, and deltaT1 is the change in temperature of the water.
For the metal:
q2 = m2 * L
where q2 is the heat released by the metal, m2 is the mass of the metal, and L is the heat of vaporization of the metal.
We know that the metal vaporizes 20.54 ml of water, which is equivalent to 20.54 g (since the density of water is 1 g/ml). We also know that the final vapor temperature is 100°C. Using the heat equation for water, we can calculate the heat absorbed by the water:
q1 = (20.54 g) * (4.184 J/g°C) * (100°C - 75°C) = 2148.48 J
Using the heat equation for the metal, we can set the two equations equal to each other and solve for the initial temperature of the metal:
m2 * L = q1
m2 = (20.54 g) / (molar mass of metal)
Substituting m2 into the equation and using the molar mass of the metal, we get:
(1 mol) * L = (2148.48 J) / ((20.54 g) / (molar mass of metal))
Solving for L, we get:
L = [(2148.48 J) / ((20.54 g) / (molar mass of metal))] / (1 mol)
Assuming the metal is copper (which has a heat of vaporization of 300.4 kJ/mol), we get:
L = [(2148.48 J) / ((20.54 g) / (63.55 g/mol))] / (1 mol) = 192 kJ/mol
Now we can use the heat equation for the metal and solve for the initial temperature:
q2 = m2 * L
q2 = (20.54 g) * (63.55 g/mol) * (192 kJ/mol)
q2 = 247.29 kJ
q2 = m2 * c * deltaT
deltaT = q2 / (m2 * c)
Assuming the specific heat of the metal is 0.385 J/g°C (which is the specific heat of copper), we get:
deltaT = (247.29 kJ) / [(20.54 g) * (0.385 J/g°C)]
deltaT = 31.98°C
Finally, we can solve for the initial temperature:
initial temperature = final temperature - deltaT
initial temperature = 100°C - 31.98°C
initial temperature = 68.02°C
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HELP HAVING BAD DAY NEED ANSWER QUICK!!!!
Jan can run at 7.5 m/s and Mary at 8.0 m/s. On a race track Jan is given
a 25 m head start, and the race ends in a tie. How long is the track?
Let's call the length of the race track as "x".
To solve for "x", we can use the formula:
\(\implies\text{ Time} = \dfrac{\text{ Distance}}{\text{ Speed}}\)
Since the race ends in a tie, we know that Jan and Mary both took the same amount of time to run the race. Let's call this time "t".
For Jan:\(\implies \text{ Time} = \dfrac{\text{ Distance}}{\text{ Speed}}\)
\(\implies t = \dfrac{x - 25}{7.5}\)
For Mary:\(\implies\text{ Time} = \dfrac{\text{ Distance}}{\text{ Speed}}\)
\(\implies t = \dfrac{x}{8.0}\)
Since both expressions represent the same time, we can set them equal to each other and solve for "x":
\(\implies \dfrac{x - 25}{7.5} = \dfrac{x}{8.0}\)
Multiplying both sides by 60 (the least common multiple of 7.5 and 8.0) to get rid of the decimals:
\(\implies 8(x - 25) = 7.5x\)
\(\implies 8x - 200 = 7.5x\)
\(\implies 0.5x = 200\)
\(\implies x = 400\)
\(\therefore\) The length of the race track is 400 meters.
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a parallel plate capacitor with air between the plates is charged and then disconnected from the source of emf. if the space between the plates is now filled with a dielectric, what happens to the capacitance of the capacitor and the magnitude of the electric field between the plates? capacitance (a) increases (b) increases (c) increases (d) decreases (e) decreases magnitude of the electric field increases remains constant decreases increases decreases
As the dielectric constant K exceeds 1, the capacitance rises. Possible variation V = CQ. The p.d. between the plates lowers as C rises while Q stays the same when the battery is disconnected.
Electric field E=dV, where d is the distance between the plates and V is the p.d. The electric field also diminishes when V lowers while d stays constant. U=21CQ2 is the energy stored in a capacitor. U declines while Q stays constant and C rises.
If the plates of a parallel plate capacitor are pulled apart while it is charging, what happens?As the plates are separated, the distance d between them increases, which causes the capacitance to decrease. As a result, the capacitor's voltage rises as Q=CV in order to keep the charge constant.
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A payload of mass m, where m
Answer:
where m < M is delivered to the space station. Soon after, the space station's orbit is adjusted so that it is 50 km ...
A payload of mass m, where m<M, is delivered to the space station.
What is payload?The maximum mass that the vehicle is capable of moving is referred to as the mass's payload. The carrying capacity of a packet or other transmission data unit is referred to as a payload.
The phrase, which has military roots, is frequently used in relation to malicious code that can be executed and cause harm. A payload is a section of code that runs when hackers take advantage of a weakness. In other words, it's a module for an exploit.
It typically consists of a few commands that will execute on the targeted operating system in order to steal data and carry out other malicious deeds (such as keyloggers).
Therefore, A payload of mass m is sent to the space station, where m<M.
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Imagine two doors 1 meter apart on a wall. How fast does an average person (84 kg) have to walk to be able to go through both doors simultaneously
The average person needs to walk at a speed of 1.5 m/s or 5.4 km/h to go through both doors simultaneously.
To go through both doors simultaneously, the person has to be fast.
Here are the details of the calculation:
Two doors are 1 meter apart on a wall.
The mass of an average person = 84 kg
To go through both doors simultaneously, the person needs to cover the distance between two doors in the same time.
Two doors are 1 meter apart, so he needs to walk 1 meter in the same time.
Let's assume that the average person's legs cover a distance of 1.5 meters in one second.
This means that he will cover 1 meter in = 1/1.5 sec ≈ 0.67 sec.
He needs to walk 1 meter in 0.67 seconds to go through both doors simultaneously.
Therefore, the average person needs to walk at a speed of 1.5 m/s or 5.4 km/h to go through both doors simultaneously.
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What is the mass and weight of an object on the surface of the moon, if on the earth its mass is 12kg.
The mass and weight of object on moon is 0.0138kg and 0.0229kg .
Since force is a vector quantity, we must consider the direction in which it acts. There are two main types of frictional force: static force (Fst) and sliding force (Fsl). Normal forces (FN) produce these forces acting perpendicular to the direction of motion, although they act in the opposite direction to the object's motion.
It is equivalent to the weight of the object plus the extra weight. For example, pushing down on a block of wood on a table increases the normal force and thus the frictional force.
me=12Kg
ge=10
gm=10/6= 1.66
M=?
me ge =M gm
M=me ge/gm
M=120/1.66
M=0.0138kg
W=mg =0.0138 x 10kg
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Look at the diagram of the male reproductive system. Name the parts
The testes are the primary male reproductive organs responsible for producing testosterone.
How to explain the partsVas Deferens: Also known as the ductus deferens, it is a muscular tube that carries mature sperm from the epididymis to the ejaculatory ducts.
Seminal Vesicles: These glands produce a fluid rich in fructose and other nutrients, which helps nourish and provide energy to the sperm.
Prostate Gland: It is a walnut-sized gland that produces a milky fluid containing enzymes, proteins, and other substances that contribute to se men formation.
Cowper's Glands: These small glands secrete a clear, alkaline fluid that lubricates the urethra and neutralizes any acidic urine remnants, creating a favorable environment for sperm.
Urethra: This is a tube that runs serves as a passage for both urine and semen, though not at the same time.
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Refer to the diagram to answer the question. Which part of the eye enables it to focus? A B C D E
Answer:
what are the A B C D E
Explanation:
If we have a velocity of 20 m/s and our acceleration is -5 m/s, then after 2 seconds our velocity will be....
a) 15 m/s
b) 40 m
c) 10 m/s
d) -10 m/s
Answer:
v = 10 m/s
Explanation:
We have,
Our initial velocity is 20 m/s
Our acceleration, \(a=-5\ m/s^2\)
It is required to find the velocity after 2 seconds. It is a concept based on equation of kinematics. Using first equation:
\(v=u+at\)
Plugging all the known values
\(v=20+(-5)(2)\\\\v=10\ m/s\)
So, our final velocity is 10 m/s.
An ideal gas, initially at a volume of 5.33333 L and pressure of 9 kPa, undergoes isothermal expansion until its volume is 8 L and its pressure is 6 kPa. Calculate the work done by the gas during this process. Answer in units of J.
Find the heat added to the gas during this process. Answer in units of J.
The heat added to the gas during the isothermal expansion is -19.33 J.
What is the heat added to the gas?The heat added can be obtained if we calculate the work done on the gas;
W = -nRT ln(V2/V1)
where:
W is the work done by the gasn is the number of moles of gasR is the gas constant (8.314 J/mol·K)T is the temperature of the gas (V1 is the initial volume of the gasV2 is the final volume of the gasThe number of moles is calculated as;
n = PV/RT
n = (9 x 5.33333 ) / (8.314 x 273)
n = 0.021 mol
The work done is calculated as;
W = -nRT ln(V2/V1)
W = -0.021 x 8.314 x 273 x ln(8 /5.33333)
W = -19.33 J
The heat added to the gas during the process is calculated as;
ΔU = Q - W
where:
ΔU is the change in internal energy of the gasQ is the heat added to the gasW is the work done by the gasFor an isothermal process, the change in internal energy is zero, since the temperature is constant.
Therefore:
Q = W = -19.33 J
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say true or false
1. the direction of impulse is the direction of net force and linear momentum
The direction of impulse is the direction of net force and linear momentum is referred to as true statement.
What is Impulse?This is referred to as a certain amount of force you apply for a certain amount of time to cause a change in momentum.
It is also known as the integral of a force, F, over the time interval, t, for which it acts and is a vector quantity and the direction is also equal to the direction of the net force and linear momentum which is therefore the reason why true was chosen as the correct choice.
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The graph shows the speed of a person riding a bicycle through a city. Which point (A, B, or C) on the graph is a place where the bicycle has speed but no acceleration? How do you know?
Answer:
Point C
Explanation:
At point c, he is moving at constant velocity.
change in velocity is zero, this acceleration is zero.
A 2 kg stone is tied to a 0. 50-m long string and swung around a circle at a constant angular velocity of 12 rad/s. The net torque on the stone about the center of the circle is:.
The net torque on the stone about the center of the circle is 144 Nm.
What is angular velocity?Angular velocity is the rate of change of angular position of an object over time. It is typically measured in radians per second (rad/s) or revolutions per minute (rpm). Angular velocity can be thought of as a vector, with direction and magnitude indicating the rate of rotation. Angular velocity is an important concept in physics, as it is used to calculate angular momentum and torque.
The net torque on the stone about the center of the circle is calculated using the formula τ = r x F, where r is the length of the string and F is the centripetal force acting on the stone. The centripetal force is calculated using the formula F = mv2/r, where m is the mass of the stone, v is the angular velocity in radians per second and r is the radius of the circle.
In this case, the mass of the stone is 2 kg, the length of the string is 0.50 m, the angular velocity is 12 rad/s and the radius of the circle is 0.50 m. Thus, the net torque on the stone is calculated as follows:
τ = r x F = 0.50 m x (2 kg x (12 rad/s)2/ 0.50 m) = 144 Nm.
Therefore, the net torque on the stone about the center of the circle is 144 Nm.
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the principal source of energy that sustains the circulation of a hurricane in the tropics is
The principal source of energy that sustains the circulation of a hurricane in the tropics is the warm, moist air that rises from the ocean's surface. This process releases latent heat, which fuels the storm and helps it to intensify. Additionally, the Coriolis effect, which causes the rotation of the Earth, helps to spin the storm and maintain its circulation.
The principal source of energy that sustains the circulation of a hurricane in the tropics is the latent heat of condensation released from warm, moist air rising and cooling within the storm system. This process releases latent heat, which fuels the storm and helps it to intensify.
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what was one mystery exhibited by the motions of the sun and a few other sky objects?
One mystery that was exhibited by the motions of the sun and a few other sky objects was the apparent retrograde motion of the planets.
In ancient times, people observed that the planets (including Mars, Jupiter, and Saturn) would sometimes appear to move backward in the sky for a few weeks or months before resuming their forward motion.
This retrograde motion was difficult to explain using the geocentric model of the universe, in which the Earth was considered to be the center of the cosmos and all the other celestial bodies revolved around it. It wasn't until the heliocentric model was proposed, with the sun at the center of the solar system, that this mystery could be explained as a result of differences in the orbital speeds and distances of the planets.
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A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 885 births consisted of 458 baby girls and 427 baby boys. In analyzing these results, assume that boys and girls are equally likely. Find the probability of getting exactly 458 girls in 885 births. Find the probability of getting 458 or more girls in 885 births. If boys and girls are equally likely, is 458 girls in 885 births unusually high?
The probability of getting exactly 458 girls in 885 births is approximately 0.0084, the probability of getting 458 or more girls in 885 births is 0.8678,
here n = 885, p = probability of getting a girl = 1/2, q = probability of getting a boy = 1/2
Probability of getting exactly 458 girls in 885 births.
The number of girls follows binomial distribution with n = 885 and p = 1/2.
So, using probability mass function for binomial distribution, we get
P(X = 458) = 885C458 (1/2)458(1/2)427≈ 0.0084
The number of girls follows binomial distribution with n = 885 and p = 1/2.
So, using cumulative distribution function for binomial distribution, we get
P(X ≥ 458) = 1 - P(X < 458)= 1 - P(X ≤ 457)P(X ≤ 457) = ∑P(X = r)
where r = 0 to 457= ∑885Cr (1/2)r (1/2)885-r= 0.1322
Therefore, P(X ≥ 458) = 1 - P(X < 458) = 1 - 0.1322 = 0.8678
Therefore, the probability of getting 458 or more girls in 885 births is 0.8678.
The expected value for the number of girls is np = 885 × 1/2 = 442.5 and the standard deviation is given by npq = 885 × 1/2 × 1/2 = 221.25.
The observed number of girls is 458, which is higher than the expected value.
To check whether 458 is unusually high, we can use the z-score.z = (458 - 442.5) / 221.25 = 0.07
Since z is less than 1, the value 458 is not unusually high.
Therefore, the result is not surprising if boys and girls are equally likely.
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As velocity____kinetic energy _____ and potential energy _____
Answer:
increases increases decreases
Explanation:
For an object falling from a height
When that same man hammers harder on the ladder, the waves created will transfer more energy. True or False
Answer:
True
Explanation:
A tennis ball is thrown vertically upward. It reaches the maximum height in 1.25 sec. What is the initial speed of the ball as it leaves the person's hand (m/s)? (neglect air resistance)
h= max
v= 0
t= 1.25
Vf= 0 at max height
vf = vi + at
0 = vi - 9.8 * 1.25
vi = 12.25 m/s
A man is using a fishing rod to catch fish in figure 1.
Figure 2 is a simplified diagram of figure 1 with the forces and distances.
Calculate the force F, in figure 2.
Answer:
Explanation:
Remark
In general, these 3rd class levers are very inefficient. Because the force distance is smaller than the load distance, you need to pull upward with more force that the weight of the load. So whatever the load is, the force is going to be much greater.
The distances are always measured to the pivot unless you are asked something specific otherwise.
Givens
F = ?
weight = 6N
Force Distance = F*d = 0.5 m
Weight Distance =W*d1 = 2 m
Formula
F*Fd = W*Wd
Solution
F*0.5 = 6 * 2 Divide by 0.5
F = 12/0.5
F = 24 N upwards
Match each word to it's correct meaning. 1. biome the climate or geographic location generally corresponding to the latitudes of 30° to 60° 2. ecologic major ecological grouping of plants and animals 3. temperate community of animals and plants that live together in a similar environment
1. Biome: A major ecological grouping of plants and animals characterized by a specific climate or geographic location generally corresponding to the latitudes of 30° to 60°. 2. Ecologic: The climate or geographic location generally corresponding to the latitudes of 30° to 60°. 3. Temperate: A community of animals and plants that live together in a similar environment.
1. Biome: A biome refers to a major ecological grouping of plants and animals that share similar characteristics and are adapted to a specific climate or geographic location.
It is typically determined by the prevailing climate patterns, including temperature, precipitation, and soil conditions. Biomes can be found across different latitudes, but the term "biome" is often used to describe regions located between 30° and 60° latitudes.
2. Ecologic: The term "ecologic" is not commonly used to describe a specific concept in the context of matching words to meanings. It could be a typographical error or a misinterpretation.
However, if we assume that it is referring to the same concept as the previous definition, then "ecologic" would also describe the climate or geographic location generally corresponding to the latitudes of 30° to 60°. Please provide more context or clarification if the intended meaning differs.
3. Temperate: "Temperate" refers to a specific type of biome characterized by moderate climate conditions. It is often associated with regions that have distinct seasons, with temperatures ranging from mild to moderate.
These temperate regions typically experience moderate rainfall and support a diverse community of animals and plants. The temperate biome is known for its deciduous forests, grasslands, and mixed woodland habitats.
The term "temperate" can also be used to describe the moderate nature of an environment or the ability of organisms to adapt to varying conditions.
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A cosmic-ray electron moves at 7. 5 × 106 m/s perpendicular to earth’s magnetic field at an altitude where the field strength is 1. 0 × 10 ―5t. What is the radius of the circular path the electron follows?.
To find the radius of the circular path the electron follows, we can use the formula for the magnetic force on a charged particle moving in a magnetic field.
Canceling out the N units, we find that the radius of the circular path the electron follows is r = 1.0 × 10^6 meters.
The formula for the magnetic force is given by: F = qvB, where F is the magnetic force, q is the charge of the particle, v is its velocity, and B is the magnetic field strength.
In this case, the electron has a charge of e = -1.6 × 10^-19 C, and its velocity is given as 7.5 × 10^6 m/s. The magnetic field strength is given as 1.0 × 10^-5 T.
Plugging in these values into the formula, we have: F = (-1.6 × 10^-19 C)(7.5 × 10^6 m/s)(1.0 × 10^-5 T).
Simplifying, we find that the magnetic force is F = -1.2 × 10^-12 N.
The magnetic force on the electron provides the centripetal force necessary to keep it moving in a circular path. So we can equate the magnetic force to the centripetal force, which is given by: F = mv^2/r, where m is the mass of the electron and r is the radius of the circular path.
Since the mass of the electron is very small compared to its charge, we can neglect its mass and equate the magnetic force to the centripetal force: -1.2 × 10^-12 N = (1.6 × 10^-19 C)(7.5 × 10^6 m/s)^2/r.
Simplifying further, we find: -1.2 × 10^-12 N = (1.2 × 10^-6 N)/r.
Solving for r, we have: r = (1.2 × 10^-6 N)/(-1.2 × 10^-12 N).
Canceling out the N units, we find that the radius of the circular path the electron follows is r = 1.0 × 10^6 meters.
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A charged, parallel-plate capacitor is isolated. If the distance separating the plates of the capacitor decreases to half the original distance, what happens to the magnitude of the electric field between the two plates?
Hi there!
Recall the following:
\(C = \frac{Q}{V}\)
C = Capacitance (F)
Q = Charge (C)
V = Potential difference (V)
The equation for the capacitance of a parallel-plate capacitor:
\(C = \frac{\epsilon_0 A}{d}\)
C = Capacitance (F)
ε₀ = Permittivity of Free Space
A = Area of plates (m²)
d = distance between plates (m)
If the distance is halved, the capacitance will DOUBLE since there is an inverse relationship between capacitance and distance.
Thus, something has to change in regards to the charge or voltage for it to match the doubled capacitance.
Since the capacitor is ISOLATED, it is not connected to a battery, so the voltage is NOT maintained constant. The VOLTAGE will consequentially be changed, while the electric field will be unchanged.
Recall the equation for potential difference:
\(V = Ed\)
If the distance is halved, the voltage will be halved. This is mirrored by the doubled capacitance. Thus, the electric field will remain the SAME.
Kiko writes a roport to compare and contrast the code of plants and animals. Which of the following statements is accurato arvd bolony in Kiko's report?
The cell membrane of animals is much tickow than those in plants
Vaculos in plants are much larger than those in animals
Animal colls do not have chromosomos
Plant colls do not have chloroplasts
Answer:
Kiko writes a roport to compare and contrast the code of plants and animals. Which of the following statements is accurato arvd bolony in Kiko's report?
The cell membrane of animals is much tickow than those in plants
Vaculos in plants are much larger than those in animals
Animal colls do not have chromosomos
Plant colls do not have chloroplasts
The function f(x)=−0.0025x2+0.243x+3 models the path of a rocket in feet. Explain how you would use the function to determine the height the rocket was launched from, how far it traveled, and the greatest height it reached. Answer in complete sentences.
Answer:
The quadratic function models the path of the rocket. When we substitute an x value, we can determine the height in feet of the rocket.
To determine the height it was launched from, we would look at the y-intercept. This represents the starting value, as time = 0 in this point (cannot have negative time).
To determine how far the rocket traveled, we would look at the positive x-intercept of the expression. At this point, height = 0, so we can see the distance from start to finish of the rocket.
To determine the greatest height achieve, we would look at the vertex of the parabola generated from the given function. Using (-b/a, f(-b/a)), we can determine the greatest height achieved.
How much work is done by the force of gravity went 45 n object falls to the ground from a height of 4.6m?
The work W exerted over an object by a force F along a distance d is:
\(W=Fd\)Substitute F=45N and d=4.6m to find the work done by the force of gravity on the falling object:
\(W=(45N)(4.6m)=207J\)Therefore, the work done by the force of gravity when a 45N object falls a distance of 4.6m, is:
\(207J\)A car accelerates at a constant rate of 1. 83m/s^2 along a flat straight road. The force acting on the car is 1870N. Calculate the mass of the car
The mass of the car is calculated as 1021.86 kg. We can calculate the mass of the car by using the formula: mass = Force / acceleration
Given information: Acceleration of the car = 1.83 m/s²
Force acting on the car = 1870 N
We know that Force = mass × acceleration
According to the question, we need to find the mass of the car. We can calculate the mass of the car by using the formula: mass = Force / acceleration
Putting the values in the above equation, we get mass = 1870 N / 1.83 m/s²
So, the mass of the car is: mass = 1021.86 kg
Therefore, the mass of the car is 1021.86 kg.
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At which time of the year in Urbana, IL will your shadow in sunlight at midday be shortest?
Select one:
a. midwinter, or early January
b. midsummer, or about August 5
c. the first day of summer, or about June 21
d. the first day of spring, or about March 21
Option c, the first day of summer, or about June 21. This is because on the summer solstice, the sun is directly overhead at noon and casts the shortest shadow of the year.
In Urbana, IL, which is in the northern hemisphere, this occurs on June 20 or 21. On the other hand, during midwinter or early January, the sun is at its lowest point in the sky, causing shadows to be longer. Similarly, during midsummer or about August 5, the sun is still high in the sky, but not as directly overhead as on the summer solstice, resulting in slightly longer shadows. The first day of spring, or about March 21, is also not as significant for shadow length as the summer solstice. Therefore, the shortest shadow at midday in Urbana, IL can be observed on the first day of summer, or about June 21.
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a 10nc charge is at the center of a cube what is the electric flux thriugh thetop surface of the cube
To determine the electric flux through the top surface of the cube, we need to use Gauss's law:
Φ_E = E * A * cos(θ)
where Φ_E is the electric flux, E is the electric field, A is the area of the surface, and θ is the angle between the electric field and the normal to the surface.
In this case, the charge is at the center of the cube, which means the electric field will be radially outward in all directions from the center. Therefore, the electric field will be perpendicular to the top surface of the cube, and θ will be 0.
Assuming that the edge length of the cube is "a", the area of the top surface is a^2. By symmetry, the electric field will be the same magnitude at every point on the top surface, and we can use Gauss's law to find the electric flux through the top surface of the cube:
Φ_E = E * A * cos(θ) = E * a^2 * cos(0) = E * a^2
The electric field due to a point charge at a distance "r" from the charge is given by:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge, and r is the distance from the charge. In this case, Q = 10 nC and the distance from the charge to the center of the top surface is a/2. Therefore:
E = k * Q / r^2 = (9 × 10^9 N m^2/C^2) * (10 × 10^(-9) C) / [(a/2)^2] = (36 × 10^3 N/C) / a^2
Substituting this expression for E into the equation for electric flux, we get:
Φ_E = E * a^2 = [(36 × 10^3 N/C) / a^2] * a^2 = 36 × 10^3 N m^2/C
Therefore, the electric flux through the top surface of the cube is 36 × 10^3 N m^2/C.
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When a person walks on a tile, a potential difference of 40 V is induced across the tile.
The power output of the tile is 4.4 W.
Calculate the current in the tile.
[3 marks]
The current in the tile is 0.11 ampere.
What is electric current?The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Due to not following vector law of addition, current is a scalar quantity.
Given parameters:
Potential difference: V = 40 V.
The power output: P = 4.4 W.
We have to find, the current in the tile; I =?
We know that, power output = current × Potential difference
So, the current in the tile = power output /Potential difference
= 4.4/40 ampere.
= 0.11 ampere.
Hence the current in the tile is 0.11 ampere.
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What is the frequency of a sound wave that has a wavelength of 95cm at 20 degree
The frequency of a sound wave can be calculated using the wave equation:
Frequency (f) = Speed of sound (v) / Wavelength (λ)
First, we need to determine the speed of sound at the given temperature of 20 degrees Celsius. The speed of sound in air depends on temperature, and at 20 degrees Celsius, it is approximately 343 meters per second.
Converting the wavelength of 95 cm to meters, we get 0.95 meters.
Now we can calculate the frequency:
f = 343 m/s / 0.95 m
f ≈ 360.53 Hz
Therefore, the frequency of the sound wave with a wavelength of 95 cm at 20 degrees Celsius is approximately 360.53 Hz.
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