Answer:
338N
Explanation:
Use the formula \(f=\frac{\sqrt{\frac{T}{\frac{M}{L}} } }{2L}\)
f is the frequency, T the string tension, M the mass, and L the length
convert units to seconds, kilograms, meters
\(65Hz\ =\ \frac{\sqrt{\frac{T}{\frac{0.005kg}{m}}}}{2\cdot2m}\)
now solve for T
sqrt(T/.005) = 65*4 = 260
T = 338N
Two children, Ferdinand and Isabella, are playing with a water hose on a sunny summer day. Isabella is holding the hose in her hand 1.0 meters above the ground and is trying to spray Ferdinand, who is standing 10.0 meters away. Will Isabella be able to spray Ferdinand if the water is flowing out of the hose at a constant speed v0 of 3.5 meters per second?
Answer:
Isabella will not be able to spray Ferdinand.
Explanation:
We'll begin by calculating the time taken for the water to get to the ground from the hose held at 1 m above the ground. This can be obtained as follow:
Height (h) = 1 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =.?
h = ½gt²
1 = ½ × 9.8 × t²
1 = 4.9 × t²
Divide both side by 4.9
t² = 1/4.9
Take the square root of both side
t = √(1/4.9)
t = 0.45 s
Next, we shall determine the horizontal distance travelled by the water. This can be obtained as follow:
Horizontal velocity (u) = 3.5 m/s
Time (t) = 0.45 s
Horizontal distance (s) =?
s = ut
s = 3.5 × 0.45
s = 1.58 m
Finally, we shall compare the distance travelled by the water and the position to which Ferdinand is located to see if they are the same or not. This is illustrated below:
Ferdinand's position = 10 m
Distance travelled by the water = 1.58 m
From the above, we can see that the position of the water (i.e 1.58 m) and that of Ferdinand (i.e 10 m) are not the same. Thus, Isabella will not be able to spray Ferdinand.
A student is comparing the speed of sound in air and water. She measures the frequency, f, and wavelength, λ, of sound waves in both air and water. The results are shown in the following table. Based on her data, how does the speed of sound in water compare to the speed of sound in air?
A.The speed of sound through water is 4.3 times faster than sound through air.
B.The speed of sound through water is 2.6 times slower than sound through air.
C.The speed of sound through water is 8.4 times faster than sound through air.
D.The speed of sound through air is approximately equal to the speed of sound through water.
Answer:
Option A. The speed of sound through water is 4.3 times faster than sound through air.
Explanation:
To answer the question correctly, we shall determine the speed of the wave in both cases. This is illustrated below:
For Air:
Frequency (fₐ) = 195 Hz
Wavelength (λₐ) = 1.76 m
Velocity (vₐ) =?
vₐ = λₐfₐ
vₐ = 1.76 × 195
vₐ = 343.2 m/s
For Water:
Frequency (fᵥᵥ) = 195 Hz
Wavelength (λᵥᵥ) = 7.6 m
Velocity (vᵥᵥ) =?
vᵥᵥ = λᵥᵥfᵥᵥ
vᵥᵥ = 7.6 × 195
vᵥᵥ = 1482 m/s
Finally, we shall compare the speed in water to that of air. This can be obtained as follow:
Velocity in air (vₐ) = 343.2 m/s
Velocity in water (vᵥᵥ) = 1482 m/s
Water : Air
vᵥᵥ : vₐ =>
vᵥᵥ / vₐ = 1482 / 343.2
vᵥᵥ / vₐ = 4.3
Cross multiply
vᵥᵥ = 4.3 × vₐ
Thus, the speed in water is 4.3 times the speed in air.
Option A gives the correct answer to the question.
a student in the front of a school bus tosses a ball to another student in the back of the bus while the bus is moving forward at a constant velocity. the speed of the ball, as seen by a stationary observer in the street:
The speed of the ball as seen by a stationary observer in the street will be the sum of the speed of the ball relative to the bus and the speed of the bus relative to the observer.
From the viewpoint of a stationary observer on the street, the ball and the school bus are both moving forward at the same constant velocity. Therefore, the speed of the ball as seen by the observer in the street will be the sum of the speed of the ball relative to the bus and the speed of the bus relative to the observer.
Assuming the ball is thrown horizontally and neglecting any air resistance, the speed of the ball relative to the bus will be constant and equal to the speed at which the ball was thrown. However, since the bus is moving forward, the speed of the ball relative to the observer in the street will be the sum of the speed of the ball relative to the bus and the speed of the bus relative to the observer.
Suppose, if the bus is traveling at a speed of 20 km/h and the ball is thrown at a speed of 10 km/h relative to the bus, then the speed of the ball as seen by the observer in the street will be 30 km/h (20 mph + 10 km/h). Therefore, the speed of the ball as seen by a stationary observer in the street will be the of the relative speed of the ball relative to the bus and the speed of the bus relative to the observer.
Learn more about relative velocity :
https://brainly.com/question/19260269
#SPJ4
A ball is projected with an initial velocity 50m/s at an angle 30 degree from the top of a tower 55m high.calculate the total time the ball was on the air and the maximum horizontal distance
Time of flight = 1.6 s
Horizontal distance = 64 m
What is a projectile motion?Projectile motion is the form of motion experienced by an object or particle projected into a gravitational field, such as from the surface of the Earth, and moves along a curvilinear path only under the action of gravity.
For the given case,
h = vt + ¹/₂gt²
h = height of tower
v = initial velocity
t = time of flight
55 = 50sin30t + ¹/₂9.8t²
55 = 25t + 4.9t²
4.9t² + 25t - 55 = 0
t = 1.6 s
X = vₓt
X = horizontal distance
vₓ = horizontal velocity
t = time of flight
X = (50 x cos30) x 1.6
X = 64 m
To know more about projectile motion visit:
https://brainly.com/question/11049671
#SPJ13
Which kind of kinetic energy is a rolling ball?
An aeroplane is circling above an airport in a horizontal circle at a speed of 400 kmh-1.The banking angle of the wings is 20.What is the radius of the circular path?
Answer: the radius of the circular path is approximately 1637.58 meters.
Explanation:
The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:
F_c = m * g * tan(banking angle)
Where:
F_c is the centripetal force
m is the mass of the airplane
g is the acceleration due to gravity
tan(banking angle) is the tangent of the banking angle
Now, the centripetal force is also given by the formula:
F_c = (m * v^2) / r
Where:
v is the speed of the airplane
r is the radius of the circular path
Equating the two expressions for F_c, we get:
(m * g * tan(banking angle)) = (m * v^2) / r
Canceling out the mass (m) on both sides of the equation, we have:
g * tan(banking angle) = v^2 / r
Solving for r, we get:
r = (v^2) / (g * tan(banking angle))
Substituting the given values:
v = 400 km/h = 400,000 m/h
g = 9.8 m/s^2
banking angle = 20°
Converting the speed to m/s:
v = 400,000 m/h * (1/3600) h/s = 111.11 m/s
Converting the banking angle to radians:
banking angle = 20° * (π/180) rad/° = 0.3491 rad
Now, substituting the values into the formula:
r = (111.11^2) / (9.8 * tan(0.3491))
r ≈ 1637.58 meters
Therefore, the radius of the circular path is approximately 1637.58 meters.
2
Ca
+
O
2
→
2
CaO
What is the product of the reaction
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The product in a chemical reaction is written on the Right side of the arrow, so
the product formed here in given reaction is :
CaO (Calcium Oxide)Can someone help me write a summery for Edge Physical Science project-
100 pts for whoever can help me
Compose typewritten summaries of your models.
Type one paragraph that summarizes each model. You will type three paragraphs in total.
Each paragraph should include:
i. the name of the molecule.
ii. the names of the different atoms that make up the molecule, and the color you chose
for each of them.
iii. the state of the molecule (i.e., solid, liquid, or gas).
iv. any units of the molecule that repeat.
v. the type of bonds in the molecule, based on the molecule’s chemical formula.
vi. the characteristics of the substance, based on whether it is an ionic compound or a
covalent compound (you may need to do additional research to find this information)
Molecules: carbon dioxide (CO2)
glucose (C6H12O6)
sodium chloride (NaCl) crystal.
Each summary
should include the name of the molecule, the names of the different atoms in the molecule,
the state of the molecule, and any units of the molecule that repeat. Each summary should
also include the type of bonds in the molecules and the characteristics of the substance based
on whether it is an ionic or covalent compound
My Molecule pictures
cycling at 13.0 m/s on your new aero carbon fiber bike, how much times would it take a pro cyclist to ride in 120 km? Give your answer in seconds, minutes, and hours
We have that the time in seconds, minutes, and hours is
\(t=1.083*10^{-4}s\)
\(T_{min}=1.805*10^{-6}min\)
\(T_{hours}=3.0083*10^{-8}hours\)
From the Question we are told that
Velocity \(v=13.0m/s\)
Distance \(d=120 km\)
Generally the equation for the Time is mathematically given as
\(t=\frac{13}{120*10^3}\\\\t=1.083*10^{-4}s\)
Therefore
\(T_{min}=1.083*10^{-4}s/60\)
\(T_{min}=1.805*10^{-6}min\)
And
\(T_{hours}=T_{min}/60\)
\(T_{hours}=3.0083*10^{-8}hours\)
For more information on this visit
https://brainly.com/question/12319416?referrer=searchResults
In an oil drop experiment, a drop with a weight of 1.9 x 10-14 N was suspended when the potential difference between 2 plates that were 63 mm apart was 780 V. What was the charge on the drop?
Answer:
Study More You will get it :L
1. Given the following vectors: A=(2i+6 j-4k|m, B=(4i-5j-3k)m and C=i+3j-2km. a) Find a unit vectors in the direction of i) A+B ii) A× B iii) 2 A+3C b) Find the magnitude of the following vectors: i) A+B ii) A× B iii) 3A-2C c) Find the angle between the following vectors: i) A× B and Bx A ii) A and C iii) B and C.
In this solution, the unit vectors in the directions of A + B, A × B, and 2A + 3C are √62,√1915, and √686. The magnitudes of A + B, A × B, and 3A - 2C are √62, √1915, and √164. The angles between A × B and B × A, A and C, and B and C are √30, cos-1(4/√35), and cos-1(-1/√14).
a) i) The unit vector in the direction of A + B is given by: A + B = (2i + 6j - 4k)m + (4i - 5j - 3k)m = 6i + j - 7k | 6² + 1² + (-7)²= 62|AB= √62We can now find the unit vector in the direction of A + B as follows:AB = (6/AB)i + (1/AB)j + (-7/AB)k= (6/√62)i + (1/√62)j + (-7/√62)kB)ii) The magnitude of the cross product A × B is given by: A × B = (-27i - 14j + 26k)m² | √(27² + 14² + 26²) = √1915|AB= √1915We can now find the unit vector in the direction of A × B as follows: AB = (-27/√1915)i + (-14/√1915)j + (26/√1915)kC) iii) The unit vector in the direction of 2A + 3C is given by: 2A + 3C = (2 x 2i + 2 x 6j - 2 x 4k)m + (3i + 9j - 6k)m= 7i + 21j - 14k | √(7² + 21² + (-14)²) = √686|AB= √686We can now find the unit vector in the direction of 2A + 3C as follows: AB = (7/√686)i + (21/√686)j + (-14/√686)kb) i) The magnitude of A + B is given by: A + B = (2i + 6j - 4k)m + (4i - 5j - 3k)m= 6i + j - 7k | AB= √62 | √(6² + 1² + (-7)²) = √62We can find the magnitude of A + B as follows: AB = √62ii) The magnitude of A × B is given by: A × B = (-27i - 14j + 26k)m² | AB= √1915We can find the magnitude of A × B as follows: AB = √1915iii) The magnitude of 3A - 2C is given by: 3A - 2C = (3 x 2i + 3 x 6j - 3 x 4k)m - (2i + 6j - 4k)m= 4i + 12j - 2k | AB= √164 | √(4² + 12² + (-2)²) = √164We can find the magnitude of 3A - 2C as follows:AB = √164c) i) The angle between A × B and B × A is 180°. ii) The angle between A and C is given by: A · C = (2i + 6j - 4k)m · (i + 3j - 2k)m= 2 + 18 + 8 = 28 |AB = √56 |AC = √30We can find the angle between A and C as follows:θ = cos-1((A · C)/(AB x AC))= cos-1(28/(√56 x √30))= cos-1(4/√35)iii) The angle between B and C is given by: B · C = (4i - 5j - 3k)m · (i + 3j - 2k)m= 4 - 15 + 6 = -5 |AB = √56 |BC = √30We can find the angle between B and C as follows:θ = cos-1((B · C)/(AB x BC))= cos-1(-5/(√56 x √30))= cos-1(-1/√14)The summary of the solution is that for the given vectors A, B, and C we have been able to find the unit vectors in the direction of A+B, A×B, and 2A+3C. The magnitudes of A+B, A×B, and 3A-2C have also been found. Finally, we have also been able to find the angles between A×B and B×A, A and C, and B and C.For more questions on unit vectors
https://brainly.com/question/2094736
#SPJ8
Here is a graph of speed vs time. If the object is moving to the east, which BEST describes the speed and velocity of the graph? Group of answer choices Both speed and velocity are changing. The speed and velocity remain constant. The speed is constant and velocity is changing. The speed is constant and velocity is changing.
Answer:
Both speed and velocity are changing!
Explanation:
create a poem that incorporates those ten words. Feel free to make it as silly as you like! MINIMUM of 6 lines with a MINIMUM of 5 words and 10 should come from your book. These do not have to rhyme, but can if you wish.
I could make a poem for you if you actually gave the words...... what 10 words do i need to incorporate???☹︎
How classrooms have become less artificial?
Answer:
Education has not embraced artificial intelligence. Some educators find themselves reluctant to join their peers in its adoption !
Technological platforms that students can use to collaborate on group assignments. Due to technology, learning, collaboration, and communication can now take place outside traditional classroom limits.
What classrooms have become less artificial?Some educators have admitted that they worry about not being able to monitor what children are doing online. They also believe that if technology were included in their classes, students wouldn't be as engaged with the material.
Through the use of personalized programs and AI, learning may be modified and adjusted to each student's unique needs, goals, and talents. This can assist close any gaps in teaching and learning.
Therefore,Artificial intelligence has not been embraced by education. Some educators are hesitant to adopt it with their colleagues.
Learn more about classrooms here:
https://brainly.com/question/25127617
#SPJ2
Please answer quickly! I need help
Answer:
true true fales true
Explanation:
The velocity of an object is what from 15 seconds to the end of the graph according to the following position vs time graph?
A: -2 m/a
B: -1 m/s
C: 0 m/s
D: 1m/s
Initial position, u = 10 m
Final position, v = 5 m
Change in time, ∆t = 5 s
We know that, velocity = ∆x / ∆t
where, ∆x is the displacement and ∆t is the change in time.
∆x = v - u
∆x = 5 m - 10 m
∆x = -5 m
Velocity = ∆x / ∆t
Velocity = -5 m / 5 s
Velocity = -1 m/s
Therefore, B: -1 m/s is the correct answer. A negative velocity means the object is traveling in the other direction.
Examine the image and assess the relationship of the atoms shown by
The reactants in the given chemical equation are methane (CH₄) and oxygen (O₂), while the products are carbon dioxide (CO₂) and water (H₂O).
During a chemical reaction, the atoms of the reactants reorganize to form new compounds in the products. A chemical change is this atomic rearrangement.
What is a change in chemistry?A chemical change is the transformation of one or more substances into new ones with distinct chemical and physical properties. New substances are created when the original substances' atoms are rearranged and new chemical bonds are formed during a chemical change.
Typically, a transfer of energy in the form of heat, light, or sound occurs in conjunction with this kind of change. Reactions like combustion, oxidation, decomposition, and synthesis are all examples of chemical changes. Physical changes, on the other hand, involve alterations in a substance's physical properties without altering its chemical composition.
Learn more about chemical change:
brainly.com/question/26264541
#SPJ1
What is the real reason the skies blue
Answer:
Rayleigh scattering
Explanation:
The blue color of the sky is due to a phenomenon called Rayleigh scattering. When sunlight enters the Earth's atmosphere, the shorter blue wavelengths of light are scattered more than the other colors by the tiny molecules of nitrogen and oxygen in the air. This causes the blue light to be redirected in many different directions, making the sky appear blue to our eyes. The other colors of light are scattered as well, but to a lesser extent, which is why the sky appears blue instead of a mixture of all colors. This effect is also the reason why the sun appears more yellow, orange or red during sunrise or sunset, when its light has to travel through more of the Earth's atmosphere before reaching our eyes, causing the shorter blue wavelengths to be scattered even more, leaving behind the longer wavelengths of light.
Hai vật gắn với nhau thông qua một sợi dậy không co giãn, bỏ qua ma sát giữa vật 2 và mặt phẳng nghiêng, ròng rọc không khối lượng. Biết m1=5kg, m2=6kg, góc nghiêng bằng 450. Tính gia tốc các vật và lực căng sợi dây?
Answer:
help
Explanation:
A car is traveling at a constant speed of 20 m/s for 3 seconds. Then the driver puts on the brakes. The total distance the car travels is 100 m. What is the total time the car was moving?
Answer:
15 seconds
Explanation:
If car was moving at 20m/s for 3 sec.
if car traveled 100m = 15 sec total
What is the potential energy of a 2.85-kg object at the bottom of a well 12.7 m deep as measured from ground level? answer:___J
The potential energy U of an object with mass m located a distance h above the ground is given by the expression:
\(U=mgh\)Where g=9.81m/s^2 is the gravitational acceleration on the surface of Earth.
Since the 2.85kg object is located 12.7 meters below the ground, we can consider h to be negative. Replace m=2.85kg, g=9.81m/s^2 and h=-12.7m to find the potential energy of the object measured from the ground level:
\(U=mgh=(2.85kg)(9.81\frac{m}{s^2})(-12.7m)=-355.07...J\)Therefore, the potential energy of the object measured from the ground level is approximately 355J.
please help me work through this, in the second image I got some help but I don't understand where theya re getting some numbers like 108 and 109, thank you!
Answer:
0.01s : Average velocity = - 102.22 ft/s
0.005s : Average velocity = - 102.11 ft/s
0.002s : Average velocity = - 102.044 ft/s
0.001s: Average velocity = - 102.022 ft/s
Instantaneous velocity at t = 3 is - 102 ft/s
Explanation:
The position-time function is expressed as
y = 30t - 22t^2
y(t) = 30t - 22t^2
1) To find the average velocity between t = 3 and t = 3 + 0.01 = 3.01, we would substitute these values into the position-time function. Thus,
y(3) = 30(3) - 22(3)^2 = - 108
y(3.01) = 30(3.01) - 22(3.01)^2 = - 109.0222
Average velocity = (- 109.0222 - - 108)/(3 - 3.01) = (- 109.0222 + 108)/0.01
Average velocity = - 102.22 ft/s
2) To find the average velocity between t = 3 and t = 3 + 0.005 = 3.005, we would substitute these values into the position-time function. Thus,
y(3) = 30(3) - 22(3)^2 = - 108
y(3.005) = 30(3.005) - 22(3.005)^2 = - 108.51055
Average velocity = (- 108.51055 - - 108)/(3 - 3.005) = (- 108.51055 + 108)/0.005
Average velocity = - 102.11 ft/s
3) To find the average velocity between t = 3 and t = 3 + 0.002 = 3.002, we would substitute these values into the position-time function. Thus,
y(3) = 30(3) - 22(3)^2 = - 108
y(3.002) = 30(3.002) - 22(3.002)^2 = - 108.204088
Average velocity = (- 108.204088 - - 108)/(3 - 3.005) = (- 108.204088 + 108)/0.002
Average velocity = - 102.044 ft/s
4) To find the average velocity between t = 3 and t = 3 + 0.001 = 3.001, we would substitute these values into the position-time function. Thus,
y(3) = 30(3) - 22(3)^2 = - 108
y(3.001) = 30(3.001) - 22(3.001)^2 = - 108.102022
Average velocity = (- 108.102022 - - 108)/(3 - 3.001) = (- 108.102022 + 108)/0.001
Average velocity = - 102.022 ft/s
To find the velocity function, we would differentiate the position time function. Thus,
v(t) = dy(t)/dt = 30 - 44t
To find the instantaneous velocity at t = 3, we would substitute t = 3 into v(t) = 30 - 44t
Thus,
v(3) = 30 - 44 x 3 = 30 - 132
v(3) = - 102
Instantaneous velocity at t = 3 is - 102 ft/s
I WILL GIVE YOU BRIANLIEST PLEASE HELP!!!!!!
A small plane starts from rest and accelerates uniformly to the east to a takeoff velocity of 70 m/s in 5 seconds. What is the plane’s acceleration?
The force of attraction between m1 and m2 is 76 N. What will this force become if m2 is tripled?
The new force is obtained as 228 N since the product of the masses is directly proportional to the force.
What is the new force?From the Newton law of universal gravitation, we can see that the gravitational force that exists between two masses is directly proportional to the product of the masses and inversely proportional to the distance between the masses.
Where the distance between the masses, remain the same, we can see that the new force would be three times the initial force since the the force and the mass are directly proportional.
Learn more about the new force:https://brainly.com/question/14276767
#SPJ1
Ang larong Latin at Sisiw ay________________________.
larong pinoy
Explanation:
ito ay larong Pinoy
22. What force is necessary to accelerate a 2500kg car from rest to 20m/s over 10s?
(6 Points)
2N
250N
5000N
50000N
Answer:
50000N
Explanation:
Force = mass × acceleration
= 2500 × 20
= 50000N
What is the economic term for the act of sacrificing one good or service to purchase or produce another?
Answer:
Trade-off. sacrificing one good or service to purchase or produce another.an ideal gas at 20centigree In a press 1.5×10pa and compress,a.isothamally,b.adaibatically until it volume in 1/3 in each case reversible.calculate in each case the final pressure and temperature of d gas (the ratio all specific capacity=Cp/Cv=1.4
a) The final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\) and 293 K, respectively, while b) the final pressure and temperature for the adiabatic compression are\(5.58*10^5 Pa\) and 515 K, respectively.
a. Isothermal compression:
For an isothermal process, the temperature remains constant. Therefore, we can use the ideal gas law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.
Since the process is isothermal, we can write:
\(P_1V_1 = P_2V_2\)
where P1 and V1 are the initial pressure and volume, and\(P_2\)and\(V_2\)are the final pressure and volume.
We are given that the volume is compressed to 1/3 of its original volume, so\(V_2 = (1/3)V_1\). Substituting this into the equation above gives:
\(P_2 = (V_1/V_2)P_1 = 3P_1\) = \(4.5*10^5 Pa\)
To find the final temperature, we can use the ideal gas law again:
PV = nRT
Rearranging, we get:
T = PV/(nR)
Substituting the values we know, we get:
T = (\(1.5*10^5\)Pa)(V1)/(nR)
Since the process is isothermal, the temperature remains constant, so the final temperature is the same as the initial temperature:
T2 = T1 = 293 K
b. Adiabatic compression:
For an adiabatic process, there is no heat transfer between the gas and its surroundings. Therefore, we can use the adiabatic equation:
PV^γ = constant
where γ = Cp/Cv is the ratio of specific heats.
Since the process is adiabatic and reversible, we can write:
\(P_1V_1\)^γ = \(P_2V_2\)^γ
We are given that the volume is compressed to 1/3 of its original volume, so V2 = (1/3)V1. Substituting this into the equation above gives:
\(P_2 = P_1(V_1/V_2)\)^γ = \(P_1\)\((3)^{(1.4)\) = \(5.58*10^5 Pa\)
To find the final temperature, we can use the adiabatic equation again:
\(T_2 = T_1(P_2/P_1)\)^((γ-1)/γ) = T1(5.58/1.5)^(0.4) = 515 K
Therefore, the final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\)and 293 K, respectively, while the final pressure and temperature for the adiabatic compression are \(5.58*10^5\) Pa and 515 K, respectively.
Know more about isothermal compression here:
https://brainly.com/question/29882250
#SPJ11
I have multiple voltage sources of different rating like 5V,6V,1V and 20V draw schematic diagram using these sources to power a light of rating 11 volt
Answer:
add molecules
A steam engine takes in superheated steam at 270 °C and discharges condensed steam from its cylinder at 50 °C. The engine has an efficiency of 30%, and taken in 50 kJ from the hot steam per cycle. If a Carnot engine takes in the same amount of heat per cycle and operates at these temperatures, the work it can turn into is most likely to be:a) 15 kJ. b) 20 kJ. c) 10 kJ. d) 50 kJ.
Answer:
b) 20 kJ
Explanation:
Efficiency of carnot engine = (T₁ - T₂ ) / T₁ Where T₁ is temperature of hot source and T₂ is temperature of sink .
T₁ = 270 + 273 = 543K
T₂ = 50 + 273 = 323 K
Putting the given values of temperatures
efficiency = (543 - 323) / 543
= .405
heat input = 50 KJ
efficiency = output work / input heat energy
.405 = output work / 50
output work = 20.25 KJ.
= 20 KJ .