Answer:
C. Mass is independent of the force acting on the mass.
Weight depends on the gravitational force acting on the mass.
Example: A mass of 1 kg on the earth still has a mass of 1 kg on the moon;
whereas the weight of that mass on earth is 9.8 N and only 1/6 of that amount on the moon.
Problem: You and your friend are discussing last week’s recitation problem, in which an electron falling down a tunnel through a uniformly charged earth exhibits simple harmonic motion. Instead of being uniformly charged, imagine that the Earth is given a spherically symmetric charge density ⍴(r)=b/r, where b is a constant. If an electron is released from rest inside this tunnel at some initial distance from the center, find an expression for the acceleration of the electron inside the tunnel (ignore gravity). If the electron is released from rest at the surface, what value of b will ensure that the electron reaches the center of the Earth in 12 seconds? ………………………………………………………………………………………
Answer:
a. a = eb/2ε₀m b. b = 8.91 × 10⁻¹⁸ kg/V
Explanation:
a. Using Gauss' law
ε₀∫E.dA = q where E = electric field and q = charge enclosed.
Now , the charge has a spherical symmetric charge density ⍴(r) = b/r, the total charge enclosed at distance r is given by
q = ∫∫∫ρ(r)r²sinθdrdθdΦ
q = ∫∫∫(b/r)r²sinθdrdθdΦ
q = ∫∫∫brsinθdrdθdΦ
we integrate r from 0 to r, θ from 0 to π and Φ from 0 to 2π
q = ∫∫br[∫sinθdθ]drdθdΦ
q = ∫∫br[-cosθ]drdΦ
q = ∫∫br-[cosπ - cos0]drdΦ
q = ∫∫br-[-1 - 1]drdΦ
q = ∫2brdr∫dΦ
q = ∫2brdr[Φ]
q = ∫2brdr[2π - 0]
q = 4πb∫rdr
q = 4πb[r²/2]
q = 4πb[r²/2 - 0]
q = 2πbr²
The let side of the equation is
ε₀∫E.dA = ε₀E∫dA = ε₀E4πr² since there is spherical symmetry
Equating both sides of the equation
ε₀E4πr² = 2πbr²
E = 2πbr²/ε₀4πr²
E = b/2ε₀
Now, the force acting on the electron , F = ma where m = mass of electron and a = acceleration of electron.
F also equal F = eE where e = electron charge and E = electric filed acting on electron
So, eE = ma
a = eE/m
a = eb/2ε₀m
b. I(f the electron is released from rest and is to reach the center of the earth, it covers a distance of the radius of the earth. Using s = ut + 1/2at² where s = radius of earth = R = 6400 km = 6.4 × 10⁶ m , u = initial velocity = 0 m/s. and a = eb/2ε₀m. Substituting these values into s we have
R = 0t + 1/2(eb/2ε₀m)t²
R = ebt²/4ε₀m
making b subject of the formula, we have
b = 4ε₀mR/et²
when t = 12 s and e = 1.609 × 10⁻¹⁹ C, ε₀ = 8.854 × 10⁻¹² F/m and m = 9.109 × 10⁻³¹ kg.
Substituting these values into b we have
b = (4 × 8.854 × 10⁻¹² F/m × 9.109 × 10⁻³¹ kg × 6.4 × 10⁶ m)/(1.609 × 10⁻¹⁹ C × 12²)
b = 2064.67/ 231.696 × 10⁻¹⁸
b = 8.91 × 10⁻¹⁸ Fkg/C
b = 8.91 × 10⁻¹⁸ kg/V
n engineer is given the task of comparing the fuel efficiency of four car models. She reports the following findings: Model 1, 14 kilometers per liter. Model 2, 9 miles per liter. Model 3, 56 kilometers per gallon. Model 4, 1600 meters per liter. The data for which two models consistently follow the use of SI units?
D because it uses meters
Consider a monochromatic electromagnetic plane wave propagating in the x direction. At a particular point in space, the magnitude of the electric field has an instantaneous value of 941 V/m in the positive y-direction. What is the instantaneous magnitude of the Poynting vector at the same point and time? The speed of light is 2.99792 x 108 m/s, the permittivity of free space is 8.85419 x 10-12 C2/N/m2 and the permeability of free space is 47 x 10-7 T N/A.
What is the direction of the instantaneous magnetic field?
1. B = - 2.
2. B = +î.
3. B = +j.
4. B = - j.
5. B = +k.
6. B = -k.
7. The magnetic field vector does not have an instantaneous direction.
What is the direction of the instantaneous Poynting vector?
1. Ŝ= -î.
2. Ŝ= -k
3. The Poynting vector does not have an instantaneous direction.
4. Ŝ = tî.
5. Ŝ = +Î.
6. Ŝ= -Î.
7. Ŝ= +ê.
Answer:
a) S = 2.35 10³ J/m²2 ,
b)and the tape recorder must be in the positive Z-axis direction.
the answer is 5
c) the direction of the positive x axis
Explanation:
a) The Poynting vector or intensity of an electromagnetic wave is
S = 1 /μ₀ E x B
if we use that the fields are in phase
B = E / c
we substitute
S = E² /μ₀ c
let's calculate
s = 941 2 / (4π 10⁻⁷ 3 10⁸)
S = 2.35 10³ J/m²2
b) the two fields are perpendicular to each other and in the direction of propagation of the radiation
In this case, the electro field is in the y direction and the wave propagates in the ax direction, so the magnetic cap must be in the y-axis direction, and the tape recorder must be in the positive Z-axis direction.
the answer is 5
C) The poynting electrode has the direction of the electric field, by which or which should be in the direction of the positive x axis
For a point charge, how does the potential vary with distance from the point charge, r?
b. r.c. 1/r.d. 1/r2.e. r2.
For a point charge, how does the potential vary with distance from the point charge, r?
a constant
b. r.
c. 1/r.
d. [tex]1/r^2[/tex].
e. [tex]r^2[/tex].
Answer:
The correct option is C
Explanation:
Generally for a point charge the electric potential is mathematically represented as
[tex]V = \frac{k Q }{r }[/tex]
Here we can deduce that the electric potential varies inversely with the distance i.e
[tex]V \ \alpha \ \frac{1}{r}[/tex]
So
The potential should vary with distance from the point charge r should be option c. 1/r.
What is a point charge?The point charge with respect to the electric potential should be expressed in
V = KQ/r
Here we can say that the electric potential should be varied oppositely with the distance
Here is the electric file with respect to the point charge should be obtained from the Coulomb law. It should be radially outward from the point charge in all types of directions.
Therefore, the option c is correct.
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Need Help with this physics question, just a written response
Answer:
Explanation:
According to Newton's third law, every action has an equal and opposite reaction
so it tells us that the force exerted by the earth on the spacecraft is equal to the force exerted by the spacecraft on the earth. But we do not see the earth moving towards the spacecraft because the inertia of the spacecraft is very less than the inertia of the earth.
how was the atomic bomb different from conventional bombs?
Answer:
A conventional bomb releases most of its energy in the form of blast. Atomic bombs on the other hand, release 50 per cent energy as blast, 35 per cent as heat and 15 per cent as nuclear radiation.
Explanation:
A conventional bomb releases most of its energy in the form of blast. Atomic bombs on the other hand, release 50 per cent energy as blast, 35 per cent as heat and 15 per cent as nuclear radiation.
bond formed when atoms share one or more pairs of electrons, but atoms do not always share electrons equally
Answer:
Polar covalent bond or just covalent bond
Explanation:
You toss a ball straight up with an initial speed of 30m/s. How high does it go, and how long is it in the air (neglecting air resistance)?
Explanation:
Given that,
A ball is tossed straight up with an initial speed of 30 m/s
We need to find the height it will go and the time it takes in the air.
At its maximum height, its final speed, v = 0 and it will move under the action of gravity. Using equation of motion :
v = u +at
Here, a = -g
v = u -gt
i.e. u = gt
[tex]t=\dfrac{u}{g}\\\\t=\dfrac{30\ m/s}{9.8\ m/s^2}\\\\t=3.06\ s[/tex]
So, the time for upward motion is 3.06 seconds. It means that it will in air for 3.06×2 = 6.12 seconds
Let d is the maximum distance covered by it.
[tex]d=ut-\dfrac{1}{2}gt^2[/tex]
Putting all values
[tex]d=30(3.06)-\dfrac{1}{2}\times 9.8\times (3.06)^2\\\\d=45.91\ m[/tex]
Hence, it will go to a height of 45.91 m and it will in the air for 6.12 seconds.
A liquid thermometer can be used to test for fevers. When body temperature increases, the liquid inside the thermometer expands and
rises to show a higher
temperature reading. Which of the following explanations best describes the changes in thermal energy of the
particles during this specific example of heat transfer?
A. The tip of the thermometer is heated by radiation from the person's body. The particles of the thermometer tip then transfer heat
by convection through the liquid inside of it. The particles inside the liquid then convect heat causing the warmer particles to slow
down, rise, and expand.
B. The tip of the thermometer is heated by conduction from the person's body. The particles of the thermometer tip then transfer heat
by convection through the liquid inside of it. The particles inside the liquid then convect heat causing the warmer particles to slow
down, rise, and expand.
© C. The tip of the thermometer is heated by convection with the person's body. The particles of the thermometer tip then transfer heat
by conduction with the liquid inside of it. The particles inside the liquid then conduct heat causing the warmer particles to speed up,
rise, and expand
© D The tip of the thermometer is heated by conduction with the person's body. The particles of the thermometer tip then transfer heat
by conduction with the liquid inside of it. The particles inside the liquid then convect heat causing the warmer particles to speed up,
rise, and expand
Answer:
A
Explanation:
dafdfsfsf
The tip of the thermometer is heated through radiation from the person's body. The particles of the thermometer tip then transfer heat by the convection of heat through the liquid inside of it. The particles inside the liquid then convert heat which causes the warmer particles to slow down, rise, and expand. Thus, the correct option is A.
What is Convection?The process of heat transfer from one part of a fluid to another part of the system or fluid through the actual movement of the particles of the fluid substance is called convection. Liquid and gas particles are heated through the process of convection.
The tip of the thermometer is heated by radiation from the person's body. The particles of the thermometer tip then transfer heat energy through convection of heat through the liquid inside of the thermometer. The particles inside the liquid then convert heat causing the warmer particles to slow down, rise, and expand in the thermometer.
Therefore, the correct option is A.
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A car speeds up from 12.0 M/S to 16.0 M/S in 8.00 S what is the acceleration of the car
We have,
Initial velocity,u = 12 m/s
Final velocity,v = 16 m/s
Time taken,t = 8 s
Now,
[tex] \sf \: a = \frac{v - u}{t} [/tex]
[tex] \bf \implies \: a = \frac{16 - 12}{8} [/tex]
[tex] \bf \implies a = \frac{4}{8} [/tex]
[tex] \bf \implies \: a = 0.5 \: m {s}^{ - 2} [/tex]
Newtons first law of motion describes
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
A 50.0-g Super Ball traveling at 25.5 m/s bounces off a brick wall and rebounds at 21.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 4.45 ms, what is the magnitude of the average acceleration of the ball during this time interval
Answer:
The magnitude of the average acceleration of the ball during this time interval is 10,449.44 m/s²
Explanation:
Given;
mass of super ball, m = 50 g
initial velocity of the ball, u = 25.5 m/s
final velocity of the ball, v = -21 m/s (re-bouncing backward)
time in contact with the wall, t = 4.45 ms = 0.00445 s
The average acceleration of the ball during this time interval is given by
[tex]a = \frac{dv}{dt} = \frac{v-u}{t} \\\\a = \frac{-21-25.5}{0.00445}\\\\a = -10449.44 \ m/s^2\\\\|a| = 10,449.44 \ m/s^2[/tex]
Therefore, the magnitude of the average acceleration of the ball during this time interval is 10,449.44 m/s²
To understand the electric force between charged and uncharged conductors and insulators. When a test charge is brought near a charged object, we know from Coulomb's law that it will experience a net force (either attractive or repulsive, depending on the nature of the object's charge). A test charge may also experience an electric force when brought near a neutral object. Any attraction of a neutral insulator or neutral conductor to a test charge must occur through induced polarization. In an insulator, the electrons are bound to their molecules. Though they cannot move freely throughout the insulator, they can shift slightly, creating a rather weak net attraction to a test charge that is brought close to the insulator's surface. In a conductor, free electrons will accumulate on the surface of the conductor nearest the positive test charge. This will create a strong attractive force if the test charge is placed very close to the conductor's surface.Consider three plastic balls (A, B, and C), each carrying a uniformly distributed charge equal to either +Q, -Q or zero, and an uncharged copper ball (D). A positive test charge (T) experiences the forces. The test charge T is strongly attracted to A, strongly repelled from B, weakly attracted to C, and strongly attracted to D. Assume throughout this problem that the balls are brought very close together. What is the nature of the force between balls A and B? a. Strongly attractive b. Strongly repulsive c. Weakly attractive d. Neither attractive nor repulsive
Answer:
the correct is a Strongly ATTRACTIVE
Explanation:
For this exercise we must use that charges of the same sign repel and charges of the opposite sign attract, the attraction is strong if they are charged or weak if the charges are induced.
Let's apply this to our case.
The test load T is attracted by the sphere A, this implies that the charges are of different sign
the test charge T is repelled by the sphere B, therefore the charges are of equal sign
As the test charge cannot change the sign, this implies that the spheres A and B are of different sign, therefore attractive forces.
Now let's analyze the intensity, as in the exercise they indicate that spheres A and B are charged and are insulators, these charges cannot move, so the attraction must be Strong.
When reviewing the statements, the correct one is a Strongly ATTRACTIVE
An ideal monatomic gas initially has a temperature of T and a pressure of p. It is to expand from volume V1 to volume V2. If the expansion is isothermal, what are the final pressure pfi and the work Wi done by the gas? If, instead, the expansion is adiabatic, what are the final pressure pfa and the work Wa done by the gas? State your answers in terms of the given variables.
Answer:
Isothermal : P2 = ( P1V1 / V2 ) , work-done [tex]pdv = nRT * In( \frac{V2}{v1} )[/tex]
Adiabatic : : P2 = [tex]\frac{P1V1^{\frac{5}{3} } }{V2^{\frac{5}{3} } }[/tex] , work-done =
W = [tex](3/2)nR(T1V1^(2/3)/(V2^(2/3)) - T1)[/tex]
Explanation:
initial temperature : T
Pressure : P
initial volume : V1
Final volume : V2
A) If expansion was isothermal calculate final pressure and work-done
we use the gas laws
= PIVI = P2V2
Hence : P2 = ( P1V1 / V2 )
work-done :
[tex]pdv = nRT * In( \frac{V2}{v1} )[/tex]
B) If the expansion was Adiabatic show the Final pressure and work-done
final pressure
[tex]P1V1^y = P2V2^y[/tex]
where y = 5/3
hence : P2 = [tex]\frac{P1V1^{\frac{5}{3} } }{V2^{\frac{5}{3} } }[/tex]
Work-done
W = [tex](3/2)nR(T1V1^(2/3)/(V2^(2/3)) - T1)[/tex]
Where [tex]T2 = T1V1^(2/3)/V2^(2/3)[/tex]
The amount of kinetic energy an object has depends on which feature of the object?
Answer:
Mass and speed.
Explanation:
The amount of kinetic energy of an object depends on the object's mass and speed.
Answer:
its a motion hope this helps
Explanation:
A car drove 200 km east on an interstate highway, then was finally able to make an
exit and drove for another 70 km to the north before reaching their destination.
What was the direction of car's resultant displacement?
Answer:
70.66°Explanation:
To find the direction of the displacement vector, we have to solve for the ratio of both displacements, and furthermore the inverse tangent of the ratio.
Given data
200km east represents the x axis
70 km north represents y axis
the direction of the resultant is given as
∅= tan-1x/y
∅=tan-1 200/70
∅= tan-120/7
∅= tan-12.85
∅= 70.66°
hence the direction of the resultant is 70.66°
Draw two unique free body diagrams that each show a net force of 30 N to the left.
Answer:
just trace a picture of it.
Which of these will have the same units if acceleration is multiplied by time? Force Time velocity Pressure
Answer:
Velocity
Explanation:
Velocity equals the original velocity... Plus
the acceleration is multiplied by time.
If the acceleration is multiplied by time then we get velocity as a result, therefore velocity has the same unit.
What is pressure?Pressure is measured as the amount of force applied in the one-meter of area. Pascal is used as the SI unit of it. The amount of pressure can be calculated by dividing the amount of force by the area of force applied. In relation to atmospheric pressure, the pressure is measured. Pressure does not represent any direction, so it comes under a scalar quantity. Many scientific and day-to-day life equipment use pressure principles like gauge meter thermometers in designing cars, ships, and every mechanical part.
We know that acceleration has an SI unit of m /[tex]s^{2}[/tex] So if we multiply the time with an acceleration whose unit is second we will get m / s which is the unit of velocity.
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Given a 45 45 90 prism with index of 1.5, immersed in air. The hypotenuse acts as the reflecting face by TIR. A ray of light enters horizontal (perpendicular to one of the non- hypotenuse faces) hitting the hypotenuse at 45º and is reflected. If the original ray is now the center of a converging bundle of rays, converging toward the original intersection point on the hypotenuse, what full convergence angle (in air) is allowed, if TIR at the hypotenuse is to be preserved for the whole bundle of rays?
Answer:
83.6°
Explanation:
For the ray to be totally internally reflected, at the boundary, the angle of refraction is 90. Using the law of refraction where
n₁sinθ₁ = n₂sinθ₂ where n₁ = refractive index of prism = 1.5, θ₁ = critical angle in prism, n₂ = refractive index of air = 1 and θ₂ = refractive angle = 90°.
So, substituting these values into the equation,
n₁sinθ₁ = n₂sinθ₂
1.5 × sinθ₁ = 1 × sin90
1.5 × sinθ₁ = 1
sinθ₁ = 1/1.5
sinθ₁ = 0.6667
θ₁ = sin*(0.6667)
θ₁ = 41.8°
So, for total internal reflection, an incidence angle of 41.8° is required. So, a full convergence angle of 2 × 41.8° = 83.6° is required for the whole bundle of rays.
Samus is exploring the planet Zebes in the star system Metroid Prime (where the laws of physics are the same as on Earth and in our universe) in a ship moving at constant velocity. She turns on her headlamps as she encounters some strange fog. Ridley, the villain lying in wait, is at rest with respect to Samus. The speed of the light from Samus's headlamps as measured by Ridley depends most importantly on
Answer:
c. the speed of light in a vaccum
Explanation:
The complete question is...
Samus is exploring the planet Zebes in the star system Metroid Prime (where the laws of physics are the same as on Earth and in our universe) in a ship moving at constant velocity. She turns on her headlamps as she encounters some strange fog. Ridley, the villain lying in wait, is at rest with respect to Samus. The speed of the light from Samus's headlamps as measured by Ridley depends most importantly on
a. the speed of light in the fog
b. the speed of light of Samus's ship
c. the speed of light in a vaccum
d. the speed of Samus with respect to the ether
e. the total addition of speeds of Samus's ship, the planet Zebes, and the system Metroid Prime.
According to relativity,
1. The laws of physics are the same for all observers in any inertial frame of reference relative to one another.
2. The speed of light in a vacuum is the same for all observers, regardless of their relative motion or of the motion of the light source.
This means that The speed of the light from Samus's headlamps as measured by Ridley depends most importantly on the speed of light in a vacuum.
Two aluminum soda cans are charged and repel each other, hanging motionless at an angle. Which of the forces on the left can has the greatest magnitude? T FE they are all the same impossible to tell mg Changed: Your submitted answer was incorrect. Your current answer has not been submitted.
Answer:
the tension is the greatest force the system
Explanation:
For this exercise we use Newton's second law, in the equilibrium condition, this means that the acceleration is zero a = 0
X-axis (horizontal)
FE - Tₓ = 0
Fe = Tₓ
Y axis (vertical)
[tex]T_{y}[/tex] - W = 0
T_{y} = W
let's use trigonometry for the stress components
sin θ = Tₓ / T
Tₓ = T sin θ
cos θ = T_{y} / T
T_{y} = T cos θ
we substitute
FE = T sin θ
W = T cos θ
Since the sine and cosine function have values between 0 and 1, the voltage must be greater than the electrical force and greater than the weight of the body.
Therefore the tension is the greatest force the system
As a science project, you drop a watermelon off the top of the Empire State Building, 320 m above the sidewalk. It so happens that Superman flies by at the instant you release the watermelon. Superman is headed straight down with a constant speed of 35 m/s. How fast is the watermelon going when it passes Superman
Answer:
70 m/s
Explanation:
The watermelon will go pass superman at the instance when they are at the same distance from the top of the building.
Superman flies by with a constant velocity = 35 m/s
This distance where he will be overtaken by the watermelon will be = vt
where v is his velocity
t is the time the watermelon and superman are side by side
For the watermelon,
the initial velocity u = 0 m/s (since it starts from rest)
The distance where it is side by side with superman will be gotten from the equation
s = ut + [tex]\frac{1}{2}gt^2[/tex]
where is the distance down at which they meet
g is the acceleration due to gravity = 9.81 m/s^2
t is the time they meet
ut = 0, since u = 0 m/s
Equating this distance that they meet, we'll have
vt = [tex]\frac{1}{2}gt^2[/tex]
substituting values, we have
35t = [tex]\frac{1}{2}*9.81*t^2[/tex]
35 = 4.905t
t = 35/4.905 = 7.135 s
The watermelon's speed at this instant can be calculated from
v = u + gt
where v is the velocity at this instant
u = initial speed of the watermelon = 0 m/s
g is the acceleration due to gravity = 9.81 m/s^2
t is the time they meet side by side = 7.135 s
substituting values, we have
v = 0 + 9.81(7.135)
v = 69.99 ≈ 70 m/s
Where do the local stall patterns occur for a Rectangular wing with no sweep?
a. Wing Tip
b. Wing Root
c. Leading Edge
a. Mean Aerodynamic Chord
Answer:
The answer is "Option b"
Explanation:
The root of the wing is also known as the wing portion of its airframe nearest to a chamfer or winged spaceship. It's typically helpful to identify either a basic monoplane layout.
The use of floats often known as "wing fillets", that was popularised within the first half of the 20th Century, in such a bid to reduce interference here between wings and fuel tank. It used in fasteners achieved more desirable flying property at both higher and lower speeds.A mountain lion jumps to a height of 3.25 m when leaving the ground at an angle of 43.2°. What is its initial speed (in m/s) as it leaves the ground?
Recall that
[tex]{v_f}^2={v_i}^2+2a\Delta y[/tex]
where [tex]v_i[/tex] and [tex]v_f[/tex] are the lion's initial and final vertical velocities, [tex]a[/tex] is its acceleration, and [tex]\Delta y[/tex] is the vertical displacement.
At its maximum height, the lion has 0 vertical velocity, so we have
[tex]0={v_i}^2-2gy_{\rm max}[/tex]
where g is the acceleration due to gravity, 9.80 m/s², and we take the starting position of the lion on the ground to be the origin so that [tex]\Delta y=y_{\rm max}-0=y_{\rm max}[/tex].
Let v denote the initial speed of the jump. Then
[tex]v_i=v\sin(43.2^\circ)=\sqrt{2\left(9.80\dfrac{\rm m}{\mathrm s^2}\right)(3.25\,\mathrm m)}\implies\boxed{v\approx11.7\dfrac{\rm m}{\rm s}}[/tex]
The initial speed will be "11.7 m/s".
Speed and Displacement:Given:
Height = 3.25 mAngle = 43.2°Acceleration due to gravity = 9.8 m/s²We know,
→ [tex]vf^2=v_i^2+2a\Delta y[/tex]
At max. height, vertical height be zero, then
→ [tex]0 = v_i^2-2gy_{max}[/tex]
or,
→ [tex]\Delta y = y_{max} -0 = y_{max}[/tex]
now,
The initial speed,
→ [tex]v_i = v \ Sin(43.2^{\circ})[/tex]
By substituting the values,
[tex]= \sqrt{1\times 9.8\times 3.25}[/tex]
[tex]= 11.7 \ m/s[/tex]
Thus the solution above is correct.
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7. Starting at rest, a car accelerates at 5.5m/s/s for 12s. What is its
velocity at the end of 12s? *
Answer:
66 m/s
Explanation:
v=u+at
= 0 + 5.5 * 12
= 66 m/s
How can you serve the community through NSTP subject
Answer:
The answer is below
Explanation:
NSPT is an acronym for the National Service Training Program. It deals with the individual's role in society building. Most specifically, the youths in areas such as physical, ethical, virtuous, intellectual, and social well-being.
One can serve the community through the NSTP subject, by involving in creating awareness in literacy and social welfare undertakings, mostly during emergencies and mishaps, or be part of the Citizen Armed Force.
A person makes ice tea by adding ice to 1.8 kg of hot tea, initially at 80°C. How many kilograms of ice, initially at 0.00°C, are required to bring the mixture to 10°C? The heat of fusion of ice is 334 kJ/kg, and we can assume that tea has essentially the same thermal properties as water, so its specific heat is 4190 J/(kg·K).
Answer:
The required mass of ice is 12.5 kg.
Explanation:
Mass of hot tea, [tex]m_{t}[/tex] = 1.8 kg
Initial temperature of hot tea = 80°C = 353 K
Initial temperature of ice = 0.00°C = 273 K
Final temperature of mixture = 10°C = 283 K
Heat of fusion of ice, L = 334 kJ/kg
Specific heat capacity of tea, [tex]c_{t}[/tex] = Specific heat capacity of water = 4190 J/kg/K
Heat lost tea = Heat gained by ice
[tex]m_{t}[/tex][tex]c_{t}[/tex]Δ[tex]T_{t}[/tex] = [tex]m_{i}[/tex]L + [tex]m_{i}[/tex][tex]c_{i}[/tex]Δ[tex]T_{t}[/tex]
[tex]m_{t}[/tex][tex]c_{t}[/tex]Δ[tex]T_{t}[/tex] = [tex]m_{i}[/tex] (L + [tex]c_{i}[/tex]Δ[tex]T_{t}[/tex])
1.8 x 4190 x (353 - 283) = [tex]m_{i}[/tex](334 + (4190 x (283 - 2730))
1.8 x 4190 x 70 = [tex]m_{i}[/tex](334 + (4190 x 10))
527940 = 42234[tex]m_{i}[/tex]
[tex]m_{i}[/tex] = [tex]\frac{527940}{42234}[/tex]
= 12.5004
[tex]m_{i}[/tex] = 12.5 kg
The required mass of ice is 12.5 kg.
The required amount of ice to bring the mixture to 10°C is 12.5 kg.
Given data:
The mass of hot tea is, m' = 1.8 kg.
The initial temperature of hot tea is, T = 80°C = 353 K.
The initial temperature of ice is, T' = 0°C = 273 K.
The final temperature of mixture is, T'' = 10°C = 283 K.
The heat of fusion of ice is, h = 334 kJ/kg.
The specific heat of water is, c = 4190 J/kg·K.
Apply the condition of thermal equilibrium which says that the heat released by the hot tea will be gained by the ice.
Heat lost by tea = Heat gained by ice
[tex]m'c(T-T'') = mh +mc(T''- T')[/tex]
Here, m is the mass of ice.
Solving as,
[tex]1.8 \times 4190 \times (353-283) = (m \times 334) +(m \times 4190(283- 273))\\\\527940 = 42234m\\\\m = 12.5 \;\rm kg[/tex]
Thus, we can conclude that the required amount of ice to bring the mixture to 10°C is 12.5 kg.
Learn more about the thermal equilibrium here:
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Which laboratory activity involves a chemical change?
Answer:
A: leaving a copper penny in vinegar until it turns green
Explanation:
The corrosion is from oxidation -- a chemical reaction between the metal and oxygen, water, and carbon dioxide in the air. Rust is the term used to describe this process when it happens to iron instead of other metals. I also took it on E2020. If you need further explanation, please comment below.
The laboratory activity which involves a chemical change is leaving a copper penny in vinegar until it turns green.
What are chemicals?The chemicals are the artificially prepared or purified and a distinct compound or substance.
The corrosion is the result of oxidation that is a chemical reaction between the metal and oxygen, water, and carbon dioxide in the air. Rust is the term used to describe the corrosion process.
Corrosion also takes place in copper due to which the copper turns green when oxidized.
Thus, The laboratory activity which involves a chemical change is leaving a copper penny in vinegar until it turns green.
Learn more about chemicals.
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Which chemical reaction shows photosynethesis?
Answer: Endothermic Reaction
Explanation: Photosynthesis requires energy right, making it an endothermic reaction. Light, generally sunlight, is the source of this energy. The process converts the sun's electromagnetic energy into chemical energy, which is then stored in chemical bonds in the plant. Which then leads to Photosynthesis occuring.
Question 1 (1 point)
Meliodas gets up in the morning and then follows his per pig Hawk a distance of 12 km away from his home. They stop, have a picnic, look as
some butterflies, and talk about their epic adventures, They make it halfway back before the food they are (Meliodas made it) makes them feel
sick so they stop to camp for the night,
How far did they travel (their distance)?
How far are they from home (their displacement)?
Answer:
Travelled 18 km, they are 6 km from home.
Explanation:
12/2 (halfway) is 6km. So, 6 + 12 would be 18 km, total amount travelled. The total distance of the trip would be 24 km (12 km out, 12km back) if they travelled 12+6 (18km) then they only have 6 km more to go.
