For F = 60 N, the acceleration of both block A and cart B is 2.38 m/s^2, while for F = 40 N, block A and cart B have accelerations of -0.81 m/s^2 and -0.40 m/s^2 respectively, both moving backwards.
To determine the acceleration of block A and cart B, we need to draw a free body diagram for each object and apply Newton's second law, F = ma.
(a) When F = 60 N:
The forces acting on block A are the force of friction f1, the force of gravity mg1, and the applied force F. The forces acting on cart B are the force of friction f2 and the force of gravity mg2. Since the two objects are connected by a rope, they have the same acceleration a.
For block A:
F - f1 = ma
For cart B:
f1 - f2 = (m1 + m2)a
mg2 - F = m2a
Using the coefficient of friction, we can find the force of friction:
f1 = μ1N1 = μ1mg1
f2 = μ2N2 = μ2mg2
where N1 and N2 are the normal forces acting on block A and cart B, respectively.
Since the coefficient of friction is the same for both static and kinetic friction, we can assume that the block and cart are not moving relative to each other. Therefore, we can use the coefficient of static friction to find f1 and f2.
μs = 0.5
N1 = m1g1 = [tex](20 kg)(9.8 m/s^2) = 196 N[/tex]
N2 = m2g2 = [tex](100 kg)(9.8 m/s^2) = 980 N[/tex]
f1 = μsN1 = (0.5)(196 N) = 98 N
f2 = μsN2 = (0.5)(980 N) = 490 N
Substituting these values into the equations above, we get:
60 N - 98 N = 20 kg a
98 N - 490 N = (20 kg + 100 kg) a
980 N - 60 N = 100 kg a
Solving for a, we get:
[tex]a = 2.38 m/s^2[/tex] for both block A and cart B.
(b) When F = 40 N:
Following the same steps as in part (a), we can find:
μs = 0.5
N1 = m1g1 =[tex](20 kg)(9.8 m/s^2) = 196 N[/tex]
N2 = m2g2 = [tex](100 kg)(9.8 m/s^2) = 980 N[/tex]
f1 = μsN1 = (0.5)(196 N) = 98 N
f2 = μsN2 = (0.5)(980 N) = 490 N
Substituting these values into the equations above, we get:
40 N - 98 N = 20 kg a
98 N - 490 N = (20 kg + 100 kg) a
980 N - 40 N = 100 kg a
Solving for a, we get:
[tex]a = -0.81 m/s^2[/tex]for block A, indicating that it is moving backwards, and[tex]a = -0.40 m/s^2[/tex] for cart B, indicating that it is also moving backwards.
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URGENT 50 POINTS
Show all Steps of your work.
7. Mohammed whose mass is 50kg swings back and forth on a long vine makes an angle 45 from the vertical resting position. His friend Abdella notices in amazement that he makes 30 complete swings in 2.0 minuies.
(a) What is the frequency (in hertz) of Tarzan's swing?
(b) What is the period of oscillation?
(c) How long is the vine he is using?
(d) Calculate the Restoring force on Mohammed?
The frequency of oscillation of the swing is 0.25 Hz.
The time period of oscillation of the swing is 4 s.
The length of the vine of the swing is 3.97 m.
The restoring force acting on Mohammed is 692.9 N.
Mass of Mohammed, m = 50 kg
Angle made by the vine with the vertical, θ = 45°
Number of complete swings made by Mohammed, n = 30
Time taken for this swing, t = 2 minutes = 120 seconds
a) The frequency of the swing is defined as the number of complete oscillations in one second.
So, the frequency of oscillation of the swing is,
f = n/t
f = 30/120
f = 0.25 Hz
b) The time period of oscillation of the swing is,
T = 1/f
T = 1/0.25
T = 4 s
c) The expression for the time period is given by,
T = 2π√(l/g)
T² = 4π² x (l/g)
l/g = T²/4π²
Therefore, the length of the vine of the swing is,
l = T²g/4π²
l = 4² x 9.8/4 x (3.14)²
l = 3.97 m
d) The restoring force acting on Mohammed,
F = mg sinθ
F = 50 x 9.8 x sin 45°
F = 490 x 1/√2 = 490/1.414
F = 692.9 N
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How much more force can the larger piston exert compared with the force applied to the smaller piston
math
Determine if the function below is continuous.
graph of a piecewise function, with 2 pieces. The first piece is a line that starts at negative infinity and goes through point (-4,5) and ends with an open dot at (1,0). The second piece is a line that starts with a closed dot at (1,-1), goes through point (2,1) and continues to infinity.
A. not continuous at x = 1
B. not continuous at x = 0
C. not continuous at x = -1
D. continuous
The function is not continuous at x=1, so the answer is A.
At x=1, the two pieces of the function meet. The first piece ends with an open dot at (1,0), meaning that the function is not defined at $x=1$. The second piece starts with a closed dot at (1,-1), meaning that the function is defined at x=1 and takes the value -1 there.
Since the function is not defined at x=1, it cannot be continuous at that point. Therefore, the function is not continuous overall.
4. Define the terms; I. Frequency II. Wavelength III. Velocity as applied to a periodic wave motion. State the relationship between them. b) Two turning forks have frequencies of 200Hz and 300Hz. Calculate the difference in the wavelengths of the notes they emit. [Speed of sound in air = 330ms-¹]
Answer:
Wavelength : It is defined as the distance travelled by a wave during the time a particle of the medium completes one vibration. It is denoted by k. Its SI unit is metre. Frequency: It is the number of occurrences of a repeating event per unit of time. Its SI unit is Hertz (Hz).
Explanation:
A 60.6 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 720 (food) Calories. How high must the person climb? The acceleration due to gravity is 9.8 m/s 2 and 1 food Calorie is 103 calories. Answer in units of km.
The height the weight-watcher needs to climb to work off the equivalent of the chocolate cake is 0.5225 km.
What is the height of the person?The height the weight-watcher needs to climb to work off the equivalent of the chocolate cake is calculated as follows;
P.E = mgh
Where;
m is the mass of the objectg is the acceleration due to gravityh is the height.720 Calories x 103 calories/1 food Calorie = 74,160 calories
74,160 calories = 310285.44 J
h = P.E/mg
h = (310285.44) / (60.6 x 9.8)
h = 522.5 m
h = 0.5225 km
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why does pure water increase in volume when heated
Answer:
Pure water increases in volume when heated due to the phenomenon of thermal expansion. When water is heated, the kinetic energy of its molecules increases, causing them to move faster and spread out. This increased molecular movement leads to an increase in the average distance between water molecules, resulting in an expansion of the water.
Explanation:
.......
* Find out the force between the wires 150 cm long and I'm apart) used to connect the battery of a car to the motor? [Note: The Current in the wires in 200 ampere)
Answer:
The force between the wires used to connect the battery of a car to the motor can be calculated using the equation F = I*L, where F is the force, I is the current, and L is the length of the wires. In this case, the force would be calculated as F = 200A * 0.15m = 30N.
the period of a pendulum is measured to be 3m, in the rest frame of the pendulum. What is the period of the pendulum when measured by observer moving at speed of 0-95c with respect to The pendulum ?
Answer:The period of a pendulum, as measured by an observer moving at a relativistic velocity with respect to the pendulum, can be calculated using the concept of time dilation from special relativity.
The formula for time dilation in special relativity is given by:
Δt' = Δt / sqrt(1 - (v^2 / c^2))
where:
Δt' is the time interval measured by the moving observer
Δt is the time interval measured in the rest frame of the pendulum
v is the relative velocity between the pendulum and the moving observer
c is the speed of light in vacuum
In this case, the relative velocity between the pendulum and the moving observer is 0.95c, where c is the speed of light in vacuum (approximately 3 x 10^8 meters per second). Let's assume the period of the pendulum as measured in its rest frame is 3 seconds.
Plugging in the values into the formula:
Δt' = 3 / sqrt(1 - (0.95c)^2 / c^2)
Simplifying the expression:
Δt' = 3 / sqrt(1 - 0.95^2)
Using a calculator to evaluate the square root and simplify further, we get:
Δt' = 3 / sqrt(0.0975)
Δt' = 3 / 0.3125
Δt' ≈ 9.6 seconds
So, the period of the pendulum, as measured by an observer moving at a speed of 0.95c (95% of the speed of light) with respect to the pendulum, would be approximately 9.6 seconds. This demonstrates the concept of time dilation in special relativity, where the observed time interval changes due to relative motion at relativistic velocities.
Explanation:
Which list of components creates a circuit through which an electric current can flow?
A. a battery, insulated wires, a buzzer, and an open switch
B. a generator, two light bulbs, and an open switch
C. a generator, a light bulb, and a closed switch
D. a battery, insulated wires, and a buzzer
A circuit requires a complete loop through which an electric current can flow. Therefore, The correct answer is Option(D).
A battery provides the source of the electric potential difference, and insulated wires allow the current to flow from the battery to the buzzer. The buzzer completes the loop back to the battery. An open switch, such as in options A and B, would break the circuit and prevent the flow of electric current. A closed switch, such as in option C, would complete the circuit. However, option C does not provide a complete circuit with a source of electric potential difference, and therefore cannot create a sustained flow of electric current.
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An atom with four protons and four electrons is in equilibrium. An electron is added. What is the overall charge of the atom?
The overall charge of the atom after an electron is added is -1.
An ion is an atom or molecule that has an unequal number of protons and electrons, resulting in a net electrical charge. Atoms are normally electrically neutral because the number of protons, which carry a positive charge, is equal to the number of electrons, which carry a negative charge. However, when an atom gains or loses one or more electrons, it becomes an ion with a net electrical charge.
When an atom loses one or more electrons, it becomes a positively charged ion, or cation, since the number of positively charged protons is greater than the number of negatively charged electrons. On the other hand, when an atom gains one or more electrons, it becomes a negatively charged ion, or anion, since the number of negatively charged electrons is greater than the number of positively charged protons.
An atom with four protons and four electrons is electrically neutral since the number of positively charged protons equals the number of negatively charged electrons. When an electron is added to the atom, the number of electrons becomes five, while the number of protons remains at four. This results in a net negative charge on the atom, since the extra electron carries a negative charge.
Therefore, the overall charge of the atom after an electron is added is -1.
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How does the ecotourism industry act as an ecosystem service that benefits tourists, the people that live in the area, and the people that work in the industry?
The ecotourism industry can act as an ecosystem service that benefits tourists, local communities, the environment, and the tourism industry itself by promoting sustainable and responsible tourism practices
What is ecotourism?Benefits for tourists: Ecotourism provides a unique experience for tourists by allowing them to explore and appreciate natural environments while supporting sustainable tourism practices. Ecotourism activities also offer educational opportunities for tourists to learn about the local environment and culture.
Benefits for local communities: Ecotourism can provide economic benefits to local communities by creating jobs in the tourism industry and supporting local businesses. It can also encourage the preservation of natural resources and cultural heritage.
Benefits for the environment: Ecotourism can promote the conservation of natural resources and ecosystems by raising awareness and encouraging sustainable tourism practices. It can also support research and monitoring efforts to improve understanding of the environment and its conservation needs.
Benefits for the tourism industry: Ecotourism can create new market opportunities for the tourism industry by offering unique and sustainable travel experiences. It can also improve the industry's reputation and competitiveness by promoting responsible and sustainable tourism practices.
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5. How mach work is repuried to increase the speed of 4kg object from 20m/s to 40m/s
what’s the answer for this
A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. The trains collide. After the collision the green train moves with a speed of 3 m/s. What is the final momentum of the green train?
A. 200 kgm/s
B. 90 kgm/s
C. 20 kgm/s
D. 110 kgm/s
String is wrapped around an object of mass M = .5 kg and the moment of inertia I = .02 kg*m^2. You pull the string with your hand straight up with some constant force F such that the center of the objects does not move up or down, but the object spins faster and faster. This is like a yo-yo; nothing but the vertical string touches the object. When your hand is a height y = .22 m above the floor, the object has an angular speed of w = 15 radians/s. When your hand has risen to a height of y = .73 m above the floor, what is the angular speed of the object? Your answer must be numeric and not contain the symbol F.
The angular speed of the object when your hand has risen to a height of y = 0.73 m above the floor is approximately 26.83 radians/s.
What is Mass?
Mass is a fundamental property of matter that quantifies the amount of matter in an object. It is a scalar quantity that describes the resistance of an object to acceleration when subjected to an external force. The mass of an object is a measure of the total amount of material or substance that it contains, and it is usually expressed in kilograms (kg) or other appropriate units.
The final potential energy is given by:
PE_final = m * g * y_final
where y_final is the final height of the object above the floor.
Setting the initial mechanical energy equal to the final mechanical energy and rearranging the equation, we get:
g = 9.8 m/[tex]s^{2}[/tex] (acceleration due to gravity)
(1/2) * 0.02 * [tex](15)^{2}[/tex]^2 + 0.5 * 9.8 * 0.22 = (1/2) * 0.02 * [tex]w_final ^{2}[/tex] + 0.5 * 9.8 * 0.73
w_final = sqrt((2 * ((1/2) * 0.02 * (15)^2 + 0.5 * 9.8 * 0.22 - 0.5 * 9.8 * 0.73)) / 0.02)
Plugging in the given values and solving for w_final, we get:
w_final ≈ 26.83 radians/s (rounded to two decimal places)
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If the wave pictured above oscillates up and down 25 time in 10
seconds, what is the frequency?
Answer:
Frequency = 25 / 10 = 2.5 Hz
Explanation:
If the wave oscillates up and down 25 times in 10 seconds, then the frequency can be calculated as follows:
Frequency = Number of oscillations / Time
In this case, the number of oscillations is 25, and the time is 10 seconds. Therefore, the frequency is:
Frequency = 25 / 10 = 2.5 Hz
So the frequency of the wave is 2.5 Hertz, which means it completes 2.5 cycles or oscillations in one second.
Can u please help with first two tasks
Workbook:complete physics for Cambridge secondary first
Electromagnetic induction is a phenomenon in physics that occurs when a varying magnetic field produces an electric current or voltage in a conductor. It was first discovered by Michael Faraday in the early 19th century and is now a fundamental principle of modern electrical technology.
When a conductor, such as a wire, is moved through a magnetic field, or when the magnetic field itself changes, a voltage is induced across the ends of the conductor. The magnitude of the induced voltage is proportional to the rate of change of the magnetic field and the number of turns of wire in the coil.
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A block of wood weighing 15 N rest on top of the table. How mush force is exerted by the table on the blockso that it will remainat rest. Explain your answer
The force exerted by the table on the block to keep it at rest is equal in magnitude but opposite in direction to the force exerted by the block on the table.
This is due to Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.Therefore, the force exerted by the table on the block is 15 N, the weight of the block. This is because the block is at rest and not accelerating, which means that the net force acting on it must be zero.
Since the force of gravity acting on the block is 15 N and it is not accelerating, the force exerted by the table on the block must also be 15 N but in the opposite direction, which balances out the gravitational force.
In summary, the force exerted by the table on the block to keep it at rest is 15 N, which is equal in magnitude but opposite in direction to the force exerted by the block on the table.
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If the adhesive force between solid molecules and liquid molecules is relatively weak, the phenomenon of non infiltration will be formed. True or false?
If the adhesive force between solid molecules and liquid molecules is relatively weak, the phenomenon of non infiltration will not be formed. False.
What is non-infiltration about?If the adhesive force between solid molecules and liquid molecules is relatively weak, the phenomenon of infiltration (or wetting) will be formed, as the liquid will spread out over the surface of the solid.
Non-infiltration is a phenomenon where a liquid is unable to wet or spread over the surface of a solid due to the strong adhesive force between the solid and liquid molecules. Instead of spreading out, the liquid will form droplets on the surface of the solid.
Non-infiltration is the opposite of infiltration (or wetting), where a liquid is able to spread over the surface of a solid due to a weak adhesive force.
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Observe the distance between the compressions shown in the image. What do you notice about the sound waves in front of the truck compared to the sound waves behind the truck? Was your prediction correct?
The sound waves in front of the truck compared to the sound waves behind the truck is using Doppler effect.
The prediction is correct.
What is the doppler effect?The Doppler effect or Doppler shift is described as the apparent change in frequency of a wave in relation to an observer moving relative to the wave source.
The apparent frequency heard by the listener differs from the frequency of the source of sound when there is relative motion between the source and listener.
The perceived frequency increases as the source and the listener go closer together, and it decreases as they get farther apart. It's called the Doppler effect.
The wave-fronts move closer as the source and listener approach closer to each other. Thus, the observed frequency is greater than the actual.
The pitch depends on frequency, greater is the pitch
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a) A 0.250-kg toy car is propelled by a compressed spring. The car follows a track that rises above the starting point. The spring is compressed 6.00 cm and has a force constant of 450.0 N/m. Find the speed of the car when it reaches 0.110 m above the starting point.
b) Estimate the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s. Convert your answer to horsepower (1 ℎp = 746w)
Answer:
a) To solve for the speed of the car, we can use the conservation of energy equation:
(1/2)mv^2 = mgh - (1/2)kx^2
where m is the mass of the car, v is the speed of the car, g is the acceleration due to gravity, h is the height of the car above the starting point, k is the spring constant, and x is the distance the spring is compressed.
Plugging in the given values, we get:
(1/2)(0.250 kg)v^2 = (0.250 kg)(9.81 m/s^2)(0.110 m) - (1/2)(450.0 N/m)(0.0600 m)^2
Solving for v, we get:
v = 1.23 m/s
Therefore, the speed of the car when it reaches 0.110 m above the starting point is 1.23 m/s.
b) To estimate the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s, we can use the work-energy theorem:
W = ΔE = mgh
where W is the work done, m is the mass of the toy, g is the acceleration due to gravity, h is the height the toy is raised, and ΔE is the change in energy.
Plugging in the given values, we get:
W = (0.25 kg)(9.81 m/s^2)(0.75 m) = 1.84 J
Next, we can use the definition of power:
P = W/t
where P is power, W is work, and t is time.
Plugging in the given values, we get:
P = 1.84 J / 2.0 s = 0.92 W
Finally, we can convert watts to horsepower:
1 hp = 746 W
0.92 W = 0.92 / 746 hp = 0.0012 hp
Therefore, the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s is approximately 0.0012 hp.
The surfaces of a lipid bi-layer forming the membrane around a cell with a radius of 1.5 μm has a residual charge qr = 9.1×10-15 C on outside of the bi-layer, and the same amount of negative charge on the inside. What is the force in pN (×10-12 N) on a singly-charged positive ion (q =1.6 ×10-19 C) located on the outer surface of this membrane? Hint: Use F = q E = q (σ/e) with σ = qr/A = qr/ (4π r2) and εo = 8.85 x 10-12 F·m-1.
I mean if it will be anything the asnwer would be 23^90'200
What new question occurred to scientists after they discovered that the
ocean floor was not flat?
O A. Are there bathtubs that have shapes similar to that of the Mid-
Atlantic Ridge?
OB. Why is the ocean floor not flat and smooth like the bottom of a
bathtub?
C. How much cable will it take to go from North America to England?
OD. How deep is the ocean?
Answer:
b
Explanation:
The answer is B. Why is the ocean floor not flat and smooth like the bottom of a bathtub?
Scientists were surprised to find that the ocean floor was not a flat and featureless plain, but rather had mountains, valleys, and other geological features. This discovery raised questions about how these features formed and what processes were involved. Scientists began to investigate the causes of these features, such as plate tectonics and volcanic activity, and how they might have shaped the ocean floor over millions of years. Understanding the complex and dynamic nature of the ocean floor has since become an important area of study in earth science and oceanography.
URGENT QUICK N EASY!
50 POINTS!
LOOK AT THE PICTURE!!
PART C!!
Find the maximum magnitude of the acceleration.
Express your answer using two significant figures.
1. The period of the mass is 0.47 second
2. The amplitude is 0.02 m
1. How do i determine the period?The period of the mass can be obtained as illustrated below:
Mass attached (m) = 0.95 KgSpring constant of spring (K) = 170 N/mPi (π) = 3.14Period (T) =?T = 2π√(m/k)
T = (2 × 3.14) × √(0.95 / 170)
T = 6.28 × √(0.95 / 120)
T = 0.47 second
Thus, from the above calculation, we can conclude that the period is 0.47 second
2. How do i determine the amplitude?The amplitude of the wave can be obtained as shown below:
Mass attached (m) = 0.95 KgSpring constant of spring (K) = 170 N/mMaximum speed (v) = 0.25 m/sAmplitude (A) =?A = v√(m/k)
A = 0.25 × √(0.95 / 170)
A = 0.02 m
Thus, the amplitude is 0.02 m
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HELPPPPP MEEEEEEE. genes can __________ many traits and can be ____________ through biotechnology
Genes can shape many traits and can be modified through biotechnology.
What are genetic engineering techniques?The expression genetic engineering techniques refer to all procedures that use recombinant DNA to create or redesign gene sequences, which invariably may modify or change the expression of a given phenotypic feature in the target organism in which this sequence is being inserted.
Therefore, with this data, we can see that genetic engineering techniques can modify a phenotype to express a desirable trait such as by inserting the insulin gene into bacteria.
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How does the ecotourism industry act as an ecosystem service that benefits tourists, the people that live in the area, and the people that work in the industry?
It promotes enjoyable experiences for both guests and hosts; It lessens the negative effects of tourism on the environment; It increases local residents' access to work and financial prospects; It promotes conservation by offering financial advantages in its direction.
What is ecotourism?The World Tourism Organization defines ecotourism as all forms of nature-based travel in which visitors' primary interests are in observing and appreciating the environment as well as the local cultures that are still practiced in natural settings.
Here are a few instances of ecotourism:
Visit places where there is nature (think of the flora, animals, and resources)discovering the heritage of the local culture.Ecologically sound wilderness excursions.volunteering or watching nature.trips devoted to environmental preservation efforts, like beach clean-ups.Learn more about ecotourism here:
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Which of the following statements best summarizes the law of conservation of energy before and after a change in a system?
A. The potential energy is the same before and after the change, and
the kinetic energy is the same before and after the change.
B. The sum of the potential energy before and after the change
equals the sum of the kinetic energy before and after the change.
C. The sum of the potential energy and the kinetic energy before the
change equals the sum of the potential energy and the kinetic
energy after the change.
D. The potential energy equals the kinetic energy before the change
and after the change.
The statement that best summarizes the law of conservation of energy before and after a change in a system is "The sum of the potential energy and the kinetic energy before the change equals the sum of the potential energy and the kinetic energy after the change"
What is the law of conservation of energy?The law of conservation of energy is a fundamental principle of physics that states that the total amount of energy in a closed system remains constant over time. This means that energy cannot be created or destroyed, only transformed from one form to another.
The above statement summarizes the law of conservation of energy, which states that energy cannot be created or destroyed, only transformed from one form to another. The total amount of energy in a closed system remains constant before and after any change, even though the energy can change from one form to another.
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A sound wave travelling at 330m/s has a frequency of 220Hz. What is its wavelength?
Answer: 1.5 meters.
Explanation:
Wavelength is equal to λ = v/f. We are given the following:
v = 330 m/s
f = 220 Hz
We can plug this in to find the wavelength.
[tex]wavelength = \frac{330}{220} \\wavelength = 1.5 m[/tex]
Find the Peukert constants n and λ for Peukert’s equation for following two measurements available from a constant current discharge experiment of a battery : (i) (t1, I1) = (10, 25) (ii) (t2, I2) = (4,45)
The battery Peukert constants, n and, are around 1.223 and 2.486, respectively.
How many Peukerts can fit?Wilhelm Peukert, a German physicist, proposed Peukert's law in 1897, which quantifies a battery's capacity in terms of the rate of discharge. The battery's useful capacity reduces as the rate of discharge rises. The supplied capacity decreases as discharge rate increases.
C = I⁽⁻ⁿ⁾ * t * λ
log(C) = -n * log(I) + log(λ) + log(t)
log(C1) = -n * log(I1) + log(λ) + log(t1)
log(C1) = -n * log(25) + log(λ) + log(10)
Similarly, for the second measurement, we have:
log(C2) = -n * log(I2) + log(λ) + log(t2)
log(C2) = -n * log(45) + log(λ) + log(4)
log(C1) - log(C2) = -n * (log(25) - log(45)) + log(10/4)
Simplifying, we get:
log(C1/C2) = n * log(45/25) + log(2.5)
Substituting the values, we get:
log(25/45) = n * log(45/25) + log(2.5)
Solving for n, we get:
n = (log(25/45) - log(2.5)) / log(45/25)
n = 1.223
log(C1) = -1.223 * log(25) + log(λ) + log(10)
log(C1) = -1.223 * 1.39794 + log(λ) + 1
Solving for log(λ), we get:
log(λ) = log(C1) + 1.223 * 1.39794 - 1
log(λ) = log(25) + 1.223 * 1.39794 - 1
log(λ) = 0.39794
Therefore, λ = 2.486.
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What is the weight of a body of mass 12kg?