A 1.0nF air-filled parallel plate capacitor is charged up by a 100V battery. While still connected to the battery, a dielectric with κ=3 is filled between the plates. Therefore, the correct option is A. 15 μJ.
The capacitance of an air-filled parallel plate capacitor is given by the formula C = εA/d,
where ε is the permittivity of air, A is the area of the plates, and d is the distance between them.
The permittivity of air is 8.85 x 10^-12 F/m.So,C = εA/d = 8.85 x 10^-12 * A/d = 1.0 x 10^-9nF = 1 x 10^-12 F So, A/d = 1.13 x 10^-3 m^-1 = capacitance per meter.
Since the capacitor is charged to 100V, the energy stored in it is given by the formulaE = 1/2 * CV^2 = 1/2 * 1 x 10^-12 * (100)^2 = 5 x 10^-9 J.
When a dielectric material with a dielectric constant (κ) is introduced between the plates, the capacitance of the capacitor increases by a factor of κ, which means the capacitance of the capacitor becomes κC, and the final energy stored in the capacitor is E' = 1/2 * κCV^2 = 1/2 * 3 * 1 x 10^-12 * (100)^2 = 1.5 x 10^-8 J = 15 μJ.
Therefore, the correct option is A. 15 μJ.
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you are on a snorkeling trip. deep below the water, you look up at the surface of the water.
At sunset, the angle from the vertical at which you see the sun while snorkeling deep below the water's surface is approximately 42 degrees.
When observing the sun from underwater, we need to consider the phenomenon of refraction, which causes the light to bend as it passes from one medium (air) to another (water). This bending of light is what allows us to see objects above the water's surface from underwater.
To determine the angle at which we see the sun, we can use Snell's Law, which relates the angles of incidence and refraction for light passing through different media. Snell's Law states:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
Where:
n₁ and n₂ are the refractive indices of the two media (air and water, respectively).
θ₁ is the angle of incidence (the angle between the incoming light ray and the normal to the water's surface).
θ₂ is the angle of refraction (the angle between the refracted light ray and the normal to the water's surface).
The refractive index of air is approximately 1.0003, and the refractive index of water is around 1.333. Since the light is coming from the air into the water, we can assume θ₁ (angle of incidence) to be 90 degrees, as it is perpendicular to the water's surface.
Using Snell's Law, we can calculate θ₂:
1.0003 * sin(90°) = 1.333 * sin(θ₂)
Simplifying the equation:
sin(θ₂) = (1.0003 / 1.333) * sin(90°)
sin(θ₂) ≈ 0.750
To find θ₂, we take the inverse sine (arcsine) of 0.750:
θ₂ ≈ arcsin(0.750)
θ₂ ≈ 48.6 degrees
However, this angle represents the angle from the normal to the water's surface, not the angle from the vertical. To find the angle from the vertical, we subtract θ₂ from 90 degrees:
The angle from the vertical = 90° - θ₂
The angle from the vertical ≈ 90° - 48.6°
The angle from the vertical ≈ 41.4 degrees
Rounded to two significant figures, the angle from the vertical at which you would see the sun at sunset while snorkeling deep below the water's surface is approximately 42 degrees.
When snorkeling deep below the water's surface and looking up at the sun during sunset, the sun would appear at an angle of approximately 42 degrees from the vertical. This angle takes into account the bending of light due to refraction as it passes from air to water.
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In the reaction 2Ca + O2 → 2CaO for every 2 Ca you will need how much O2?
a.
1
b.
2
c.
3
d.
4
Answer:
1
Explanation: that is the ratio
what is the total pressure on a diver at a depth of 20m in sea water with a density of 1.03g/cubic cm under normal atmospheric pressure
The total pressure experienced by the diver at the given depth is 201,880 Pa.
The given parameters:
Depth of the sea water, h = 20 mDensity of the water, ρ = 1.03 g/cm³What is pressure?Pressure is the force per unit area experienced by an object. Pressure increase with depth.The total pressure experienced by the diver at the given depth is calculated as follows;
\(P = \rho g h\)
where;
ρ is the density of the liquid (kg/m³)
g is acceleration due to gravity
1.03 g/cm³ = 1,030, kg/m³
P = (1030) x (9.8) x (20)
P = 201,880 N/m²
Thus, the total pressure experienced by the diver at the given depth is 201,880 Pa.
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Newton’s Law of Gravitation states:
x'' = - (gR^2)/(x^2)
where g = gravitational constant, R = radius of the Earth, and x = vertical distance travelled. This equation is used to determine the velocity needed to escape the Earth.
Using chain rule, find the equation for the velocity of the projectile, v with respect to height x.
Given that at a certain height xmax, the velocity is v = 0; find an inequality for the escape velocity.
This inequality tells us that the right side of the equation must be less than or equal to zero for the projectile to escape the Earth's gravitational pull.
To find the equation for the velocity of the projectile (v) with respect to height (x), we can differentiate the given equation with respect to time (t) using the chain rule.
Given:
x'' = - (gR²)/(x²)
Let's denote the derivative with respect to time.
Differentiating both sides of the equation with respect to time (t), we have:
x'' = d²x/dt²
v' = d²x/dt²
Now, apply the chain rule. Let u = x(t).
v' = d²x/dt² = d(du/dt)/dt = d²u/dt²
Now, we need to find the expression for d²u/dt²
Since x = u, we can rewrite the original equation as:
u'' = - (gR²)/(u²)
Substituting this equation into our previous expression:
v' = d²u/dt² = - (gR²)/(u²)
Therefore, the equation for the velocity of the projectile (v) with respect to height (x) is:
v' = - (gR²)/(x²)
Now, let's find an inequality for the escape velocity. At a certain height xmax, the velocity is v = 0. To escape the Earth's gravitational pull, the projectile must have a velocity greater than or equal to zero at an infinite height (as it approaches infinity). This means that the velocity should be non-negative at all heights.
v ≥ 0
Substituting the equation for v' we derived earlier:
(gR²)/(x²) ≥ 0
Since g, R, and x² are positive values, divide both sides of the inequality by -1 to change the direction of the inequality:
(gR²)/(x²) ≤ 0
This inequality tells us that the right side of the equation must be less than or equal to zero for the projectile to escape the Earth's gravitational pull.
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Drag the tiles to the correct boxes to complete the pairs.
Match the following astronomers to their contributions.
Galileo Galilei
Albert Einstein
Henrietta Swan Leavitt
Edwin Hubble
Georges Lemaître
theorized that the universe had a beginning
showed that the universe was expanding
demonstrated a method to calculate the distance of celestial bodies
was the first to use a telescope to observe the planets
huit a model of the inverse haced on relativity
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Answer:
Georges Lemaître - theorized that the universe had a beginning
Albert Einstein - huit a model of the inverse haced on relativity
Galileo Galilei - was the first to use a telescope to observe the planets
Edwin Hubble - showed that the universe was expanding
Henrietta Swan Leavitt - demonstrated a method to calculate the distance of celestial bodies
is my choices report if wrong
Galileo Galilei was the first to use a telescope to observe the planets
Albert Einstein built a model of the universe based on relativity
Henrietta Swan Leavitt demonstrated a method to calculate the distance of celestial bodies
Edwin Hubble showed that the universe was expanding
Georges Lemaître theorized that the universe had a beginning
What is science?Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.
A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals. It is both a process, a product, and an institution.
Thus, The first person to observe the planets through a telescope was Galileo Galilei.
Based on relativity, Albert Einstein created a model of the universe.
A technique to determine the separation between celestial bodies was demonstrated by Henrietta Swan Leavitt.
Edwin Hubble demonstrated the expansion of the universe
According to Georges Lemaître, the universe had a beginning.
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An engine using 1 mol of an ideal gas initially at 22. 9 L and 455 K performs a cycle consisting of four steps:
1) an isothermal expansion at 455 K from 22. 9 L to 36. 4 L ;
2) cooling at constant volume to 336 K ;
3) an isothermal compression to its original volume of 22. 9 L; and
4) heating at constant volume to its original temperature of 455 K.
Find its efficiency. Assume that the heat capacity is 21 J/K and the universal gas constant is 0. 08206 L · atm/mol/K = 8. 314 J/mol/K
By substituting the accurate values into the calculations, we can determine the efficiency of the engine.
Efficiency = (Work output / Heat input) * 100
To calculate the efficiency of the engine, we'll need to use the given values and perform the necessary calculations.
Given:
- Universal gas constant (R) = 0.08206 L · atm/mol/K = 8.314 J/mol/K
- Heat capacity (C) = 21 J/K
Step 1: Isothermal expansion
V1 = 22.9 L, V2 = 36.4 L, T = 455 K
W1 = nRT * ln(V2/V1)
= (1 mol) * (8.314 J/mol/K) * (455 K) * ln(36.4 L / 22.9 L)
Step 2: Cooling at constant volume
T1 = 455 K, T2 = 336 K
Q2 = C * (T2 - T1)
= (21 J/K) * (336 K - 455 K)
Step 3: Isothermal compression
V1 = 36.4 L, V2 = 22.9 L, T = 455 K
W3 = -nRT * ln(V2/V1)
= - (1 mol) * (8.314 J/mol/K) * (455 K) * ln(22.9 L / 36.4 L)
Step 4: Heating at constant volume
T1 = 336 K, T2 = 455 K
Q4 = C * (T2 - T1)
= (21 J/K) * (455 K - 336 K)
Now, let's calculate the total work done and the total heat input:
Work output = W1 + W2 + W3 + W4
Heat input = Q1 + Q2 + Q3 + Q4
Finally, we can find the efficiency using the formula:
Efficiency = (Work output / Heat input) * 100
By substituting the accurate values into the calculations, we can determine the efficiency of the engine. Therefore, you can use numerical methods or a solver to find the appropriate value of efficiency.
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The efficiency of the given engine is 52.97%.
The given parameters of the engine using 1 mol of an ideal gas are
Initial volume, V1 = 22.9 L
Final volume, V2 = 36.4 L
Initial temperature, T1 = 455 K
Final temperature, T2 = 336 K
Heat capacity, C = 21 J/K
Universal gas constant, R = 8.314 J/mol/K
The efficiency of the engine is given by,η = (W/Q1)
Where, W is the work done and Q1 is the heat absorbed by the engine during isothermal expansion.
W = -nRTln(V2/V1)............(1)
Q1 = nC(T1 - T2)...........(2)
W is negative because work is done by the system. Therefore, from the equations (1) and (2),
η = -(nRTln(V2/V1))/(nC(T1 - T2)) = -((Rln(V2/V1))/(C(T1 - T2)))= -((8.314*ln(36.4/22.9))/(21*(455-336)))= 0.5297 or 52.97%
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An aircraft waits at the start of a runway.
The aircraft accelerates from a speed of 0 m/s to a speed of 80 m/s.
The acceleration of the aircraft is 4 m/s².
Calculate the distance, x, travelled by the aircraft while it is accelerating.
Use the equation
X=v² -u²/2a
Explanation:
x=(80²-0²)/2×4
x=6400/8
x=800m
why would someone waive their right to a speedy trial?
Some people may give up their rights out of fear or trepidation. However, you must recognize that using your rights is a kind of self-defense, not a challenge to the police.
What is speedy trial?Furthermore, some people assume that exercising Miranda rights implies guilt.Although the right to a speedy trial is guaranteed by the US Constitution, a defendant may gain from renouncing that right. In many cases, the defense will need more time to prepare their case in order to present the best possible defense to the defendant.It is the act of knowingly giving up a legal right such as a rapid trial, a jury trial, or giving up some rights.For more information on speedy trial kindly visit to
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what has the most horsepower coffee maker, corvette, blender, and lawn mower
Answer:
lawn mower goes vroom
Explanation:
1.5 x 10^3 standard notation
Answer:
1500
Explanation:
We think that a star like the Sun lives for about 10 billion years. Using the relationships in your textbook (Chapter 5, "Twinkle, twinkle, little star" and "Stellar ages"), what is the relative luminosity and lifespan of a star that is 10 times more massive? Of a star that is 1/3 as
massive?
Based on the relationship between a star's mass and its luminosity, as described in Chapter 5 of your textbook, we can determine the relative luminosity and lifespan of stars with different masses compared to the Sun.
For a star that is 10 times more massive than the Sun:
According to the mass-luminosity relationship, more massive stars have higher luminosities. Since the star is 10 times more massive than the Sun, we can assume it will have a greater luminosity. However, without specific data on the exact relationship between mass and luminosity, we cannot determine the precise relative luminosity value. As for its lifespan, more massive stars tend to have shorter lifespans than lower-mass stars. Therefore, we can expect the star that is 10 times more massive than the Sun to have a shorter lifespan compared to the Sun's 10 billion years.
For a star that is 1/3 as massive as the Sun:
Similarly, using the mass-luminosity relationship, less massive stars have lower luminosities. If the star is 1/3 as massive as the Sun, we can expect it to have a lower luminosity compared to the Sun. Again, without specific data, we cannot determine the exact relative luminosity value. Regarding its lifespan, less massive stars typically have longer lifespans. Therefore, we can expect the star that is 1/3 as massive as the Sun to have a longer lifespan compared to the Sun's 10 billion years.
In summary, a star that is 10 times more massive than the Sun would likely have a greater luminosity and a shorter lifespan, while a star that is 1/3 as massive as the Sun would likely have a lower luminosity and a longer lifespan.
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you measure the change of flux and the induced voltage that results when you drop a magnet through a coil. you test two cases. in the first case, you drop the magnet height of 3 cm above the coil. in the second case, you raise the magnet so that it drops 20 cm before entering the coil. which one of the following is a correct statement about what you expect to observe in the second case, compared to the first case?
The induced voltage in the second case will be higher but the change in flux will be same in comparison to the first case.
In the experiment of measuring the change of flux and the induced voltage,
In the first case the magnet is dropped from a height 3cm of the coil and in the second case the the magnet is raised so that it drops 20cm before entering the coil.
When compare to the first case the second case will have a higher value of induced voltage but the change in flux will be same.
The induced voltage in a coil is given by,
E = dM/dt
dM is change in magnetic flux,
t is time,
As we can see that the time is inversely proportional to the induced emf and in the second case the magnet is drop from a height which allows it to go with the higher velocity in a less time that is why the induced EMF is more in magnitude but because the magnet is same in both the cases the change in flux is constant.
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Get the equation for energy. Explain the physical meaning of
energy in cfd.
The equation for energy in the context of fluid dynamics, specifically in Computational Fluid Dynamics (CFD), is typically represented by the conservation of energy equation, also known as the energy equation or the first law of thermodynamics. The equation can be expressed as:
ρ * (du/dt + u * ∇u) = -∇p + ∇⋅(μ * (∇u + (∇u)^T)) + ρ * g + Q
where:
ρ is the density of the fluid
u is the velocity vector
t is time
∇u represents the gradient of velocity
p is the pressure
μ is the dynamic viscosity
g is the gravitational acceleration vector
Q represents any external heat source/sink
The physical meaning of energy in CFD is the total energy of the fluid system, which includes kinetic energy (associated with the motion of the fluid), potential energy (associated with the elevation of the fluid due to gravity), and internal energy (associated with the fluid's temperature and pressure). The energy equation describes how this total energy is conserved and transformed within the fluid system.
In CFD simulations, the energy equation plays a crucial role in modeling the energy transfer, heat transfer, and flow characteristics within the fluid. It helps in understanding how energy is distributed, dissipated, and exchanged within the fluid domain. By solving the energy equation numerically, CFD simulations can predict temperature profiles, flow patterns, heat transfer rates, and other important parameters that are essential for various engineering applications, such as designing efficient cooling systems, optimizing combustion processes, and analyzing thermal behavior in fluid flows.
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what do you understand by the term current state and define its SI unit.........
Answer:
Explanation:
Current refer to the rate at which electric charge flow or run or move in an electric circuit . It is measured in Ampere or coulumb per second.
The SI unit is Ampere and it is represented by A. It is a scalar quantity.
1 Ampere is the current that will produce an attractive force of 2 × 10^-7 Newton per meter of length between two parallel conductors.
In basketball Which is NOT a reason for using a zone defense.
A. Your team is in foul trouble.
B. The opponents have a height advantage.
C. The opponents have an exceptional player.
D. Your team has better shooters.
I'll mark brainliest if the answer's correct. It's due today, please help!
Answer: its b
Explanation: took the quiz
What patterns are caused by the Earth, Sun, and Moon systems?
The Earth, Sun, and Moon systems create several patterns, including the day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses. These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it. Understanding these patterns is essential in comprehending the workings of the universe and the impact they have on our planet.
What patterns are caused by the Earth, Sun, and Moon systems?The Earth, Sun, and Moon systems create several patterns, including:
Day and Night cycle: The rotation of the Earth on its axis causes the alternating cycle of day and night as different parts of the planet face towards or away from the Sun.
Seasons: The tilt of the Earth's axis (23.5 degrees) causes the seasons to change as different parts of the planet receive varying amounts of sunlight throughout the year.
Lunar Phases: The Moon orbits the Earth, causing it to appear to change shape in the sky as different amounts of sunlight reflect off its surface.
Tides: The gravitational pull of the Moon and the Sun on the Earth's oceans creates a regular cycle of high and low tides.
Solar and Lunar Eclipses: The alignment of the Earth, Sun, and Moon can cause a shadow to be cast on one celestial body by another, resulting in either a solar or lunar eclipse.
These patterns have been studied and understood by scientists for centuries and have played an important role in shaping our understanding of the universe and our place in it.
Therefore, The day and night cycle, seasons, lunar phases, tides, and solar and lunar eclipses are just a few of the patterns that the Earth, Sun, and Moon systems produce. Scientists have been analyzing and studying these patterns for centuries, and they have had a significant impact on how we view the cosmos and our place in it. Knowing these patterns is crucial to understanding how the cosmos functions and how they affect our world.
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The ________ smooths out the pressure pulses in the exhaust system, allowing them to be released at an even and constant rate.
The muffler smooths out the pressure pulses in the exhaust system, allowing them to be released at an even and constant rate.
An exhaust system is a system used by an engine to channel out gasses created when the fuel and air are burned in the combustion chamber.
Some components of an exhaust system include:
clampsoxygen sensor andMufflersThe muffler of the exhaust system helps it to achieve its functions which include it:
control noise, carry away gases, improve engine performance and improve fuel consumptionThe muffler are used mainly to dissipate the loud sounds created by the engine's pistons and valves.
Therefore, muffler smooths out the pressure pulses in the exhaust system, allowing them to be released at an even and constant rate.
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a camel walks for 450 meters then hops on a bicycle and rides for 100 meters riding with a speed of 25 m/s in the same direction the average speed of the camel for the entire trip is 7 m/s what speed did the camel walk
Answer:
6.03 m/s
Explanation:
Average speed = total distance traveled/total time taken
7 = 450 + 100/total time
total time = 550/7 = 78.57 s
Speed of camel on the bicycle = distance/time
25 = 100/time
time = 100/25 = 4 s
Total time = 78.57 s
Time spent riding bicycle = 4 s
Time spent walking = total time - time spent riding bicycle
= 78.57 - 4 = 74.57 s
Speed of walking = distance walked/time spent walking
= 450/74.57
= 6.03 m/s
The _____ optical illusion contains a horizontal line terminating in inward- or outward-pointing arrowheads.
Answer:
Muller-Lyer optical illusion
if we breath air and drink water, does that mean fish drink air and breath water??
Answer:
I don't know
Explanation:
.....
(fish are able to breath and drink water since the power of 3 divided by how many fish in the ocean is 2 apples) and that equals to (A bad joke)
in scientific notation, we would express the result of (0.0035 * 200000) as
Answer:
I think it's 7 × 10²
Explanation:
0.0035 time 200000 is 700 and 700 in scientific notation is 7 × 10²
Though i'm not certain if that is correct
A motorbike travels 45 miles in 15 minutes, what is its speed (hint change the minutes to hours!!)
Answer:
180 miles/hr
Explanation:
15 min=1/4 hr
s= distance/time
s=45miles/1/4 hr
s=45miles x 4/1=180 miles/hr
As a 4-10 solar mass star leaves the main sequence on its way to becoming a red supergiant, its luminosity:____.
As a 4-10 solar mass star leaves the main sequence on its way to becoming a red supergiant, its luminosity: remains roughly constant.
A common unit of mass used in astronomy is the solar mass (M), which is around 2 1030 kg. It is frequently used to denote the masses of black holes, galaxies, stellar clusters, nebulae, and other objects. Its mass is comparable to that of the Sun.
A solar mass is the fundamental unit of mass used by astronomers. It makes more sense to talk about such cosmic objects in terms of solar masses rather than a much smaller measure, such as kilos, because the majority of things in space are enormous and heavy, such as stars, galaxies, and black holes.
When a moderately big star, ranging in size from 8 to 40 solar masses, runs out of hydrogen shells around the core heat up sufficiently to start fusion.n fuel, it evolves off the main sequence and switches to fusing helium in its core, resulting in the formation of a red supergiant. This causes the star's radius to increase, which lowers the star's temperature.
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a 1200 kg car travels at 20 m/s. what is the momentum
Answer:
24000
Explanation:
Why are electromagnets, rather than permanent magnets, used in MRLs?
Answer:
The main advantage of an electromagnet over a permanent magnet is that the magnetic field can be quickly changed by controlling the amount of electric current in the winding. However, unlike a permanent magnet that needs no power, an electromagnet requires a continuous supply of current to maintain the magnetic field.
Explanation:
A dust particle with a charge of 3.2 E−7 C is located near a dust cloth carrying a charge of +6.7 E−7 C. If the force acting on the dust particle from the cloth is 4.8 E−4 N, what is the distance between the particle and the cloth?
Group of answer choices
2.0 m
3.2 m
20 cm
2.7 m
According to the question, the distance between the particle and the cloth are: 2.7 m.
What is distance?
Distance is a numerical measurement of the amount of space between two points. It is usually measured in units such as meters, kilometers, feet, or miles. Distance can be used to measure the length of a path, the size of an area, or the length of a journey. Distance is also used to compare the size of two objects, such as the distance between two cities or the distance between two planets. Distance is an important concept in many fields, including mathematics, physics, engineering, geography, navigation, and astronomy.
The force between two charged particles can be calculated using Coulomb's Law, which states that the force between two charges is equal to the product of the charges divided by the square of the distance between them. In this case, we can rearrange the equation to solve for the distance between the two particles:
distance = (charge1 * charge2) / (force)
distance = (3.2 E−7 C * 6.7 E−7 C) / (4.8 E−4 N)
distance = 2.7 m
So, D is correct.
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Calculate magnetic field strength current 3a flows in wire 2.5m and produces a force 15n
The magnetic field strength willl be 2 T. A force known as the Lorentz force acts on the charge when it is subject to an electric and magnetic field.
What is Lorentz force?Lorentz force is defined as the force acting on point charge when it is moving in an electric and magnetic field.
The given data in the problem is ;
B is the magnetic field strength =? T.
Current, I =?
L is the length of the wire
The magnetic force is found as;
F= BIL
15 N = B × 3 A × 2.5 m
B = 2 T
Hence, the magnetic field strength willl be 2 T.
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They want a mixture of 150 grams of water at 60 degrees Celsius, using hot water at 90 degrees Celsius and cold water at 14 degrees Celsius, how many grams of water should be used per face?
Answer:
Explanation:
Here,
Final mass(m)=150g
Final Temperature(t)=60°C
Temperature of hot water(t1)=90C
Temperature of cold water(t2)=14C
Let the grams of water to be used per face be m1 grams and (150-m1) grams for hot and cold water respectively.
We know that,
Heat lost by hot body=Heat gained by cold body
or, m1 s1 Δt1=m2 s2 Δt2
or, m1 (t1-t)=(150-m1) (t-t2) [∵s1=s2, SHC of water is taken to be same]
or, m1 (90-60)=(150-m1) (60-14)
or, 30m1=6900-46m1
or, 76m1=6900
∴m1=90.79g
(150-m1)=59.21g
Hence, 90.79g and 59.21 g hot and cold water must be used respectively.
if a dog runs at 3 m/s for 20 seconds, how far did he run
If a car travels 200 meters in 10 seconds how fast is it going
Answer:
20 meters per second.
Explanation:
200/10