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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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:
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What three factors account for challenges in the Civil Rights Movement after 1965?
lack of strong leadership
opposition to reforms in Congress
differences of opinion within rights movements
opposition from a majority of the Supreme Court
lack of public support for school desegregation policies
Answer:
differences of opinion within rights movements
opposition to reforms in Congress
lack of public support for school desegregation policies
hope this helps :) !!!
Answer:
Answer: answer A, B and C are correct
Explanation:
Answer: answer A, B and C are correct
Can u please help with this two tasks?
Workbook:complete physics for Cambridge secondary first
For electricity generation the words in order are:
a You can generate electricity by moving a coil of wire in a magnetic field. The size of the voltage depends on the speed of the movement and the strength of the magnet.
b In a model generator, a coil rotates between the poles of a magnet. If a coil with more turns is used the voltage is greater. If the coil spins faster, the voltage is greater.
What is the influence of induced voltage?a. If the student moved the magnet towards the coil at a slower speed, she would notice that the induced voltage on the voltmeter decreases. This is because the voltage induced is proportional to the rate of change of the magnetic field, which decreases as the speed decreases.
b. If the student moved the magnet towards the coil at the same speed, she would notice that the induced voltage on the voltmeter remains the same. This is because the voltage induced is proportional to the rate of change of the magnetic field, which is constant if the speed is constant.
c. If the student turned the magnet round and moved it towards the coil, she would notice that the induced voltage on the voltmeter is in the opposite direction. This is because the direction of the induced voltage is determined by the direction of the change in magnetic field, which is reversed when the magnet is turned round.
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Katie, a 60 kg person, stands at the edge of a well and holds a rope attached to an 8 kg bucket of water resting in the water below. With her first tug up on the rope, the bucket speeds up to 3 m/s while it rises 0.9 m. What is the bucket’s acceleration? How quickly is Katie accelerating? How hard is Katie pulling on the bucket? What is the normal force on Katie?
To solve this problem, we can use the following equations:
F_net = ma (Newton's second law)
F_tension - F_gravity - F_buoyancy = ma (sum of forces on the bucket)
F_gravity - F_tension - F_normal = 0 (sum of forces on Katie)
where:
F_tension is the tension in the ropeF_gravity is the weight of the bucket and KatieF_buoyancy is the buoyant force on the bucketF_normal is the normal force on Katiea is the acceleration of the bucketFirst, we can find the tension in the rope:
F_net = ma
F_tension - F_gravity - F_buoyancy = ma
F_tension = ma + F_gravity + F_buoyancy
The weight of the bucket is:
F_gravity_bucket = m_bucket * g = 8 kg * 9.8 m/s^2 = 78.4 N
The weight of Katie is:
F_gravity_Katie = m_Katie * g = 60 kg * 9.8 m/s^2 = 588 N
The buoyant force on the bucket is equal to the weight of the water displaced by the bucket, which is:
F_buoyancy = m_water * g = m_bucket * g = 78.4 N
Substituting these values, we get:
F_tension = (m_bucket + m_Katie) * a + F_gravity_bucket + F_gravity_Katie + F_buoyancyF_tension = (8 kg + 60 kg) * a + 78.4 N + 588 N + 78.4 NF_tension = 68 a + 744.8 NNext, we can find the acceleration of the bucket:
We can use the kinematic equation:
v^2 = u^2 + 2as
where:
v is the final velocity (3 m/s)u is the initial velocity (0 m/s)s is the displacement (0.9 m)Solving for a, we get:
a = (v^2 - u^2) / 2sa = (3 m/s)^2 / (2 * 0.9 m)a = 5 m/s^2Therefore, the acceleration of the bucket is 5 m/s^2.
Next, we can find the tension in the rope:
F_tension = 68 a + 744.8 NF_tension = 68 * 5 m/s^2 + 744.8 NF_tension = 1075.6 NTherefore, Katie is pulling on the rope with a force of 1075.6 N.
Finally, we can find the normal force on Katie:
F_gravity_Katie - F_tension - F_normal = 0
F_normal = F_gravity_Katie - F_tension
F_normal = 588 N - 1075.6 N
F_normal = -487.6 N
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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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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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An airplane flies with a constant speed of 1624 miles per hour. How far can it travel in 30 minutes?
The distance the airplane will travel in 30 minutes, given that the airplane travels at 1624 miles per hour is 812 miles
How do i determine the distance travelled?The following data were obtained from the question:
Speed of airplane = 1624 mile per hourTime taken = 30 minutes = 30 . 60 = 0.5 hourDistance travelled =?Speed is defined as distance travelled per unit time.
Speed = Distance travelled / time
Inputting the various parameters, we can obtain the distance travelled as follow:
1624 = Distance travelled / 0.5
Cross multiply
Distance travelled = 1624 × 0.5
Distance travelled = 812 miles
Thus, we can conclude that the distance travelled by the airplane in 30 minutes is 812 miles
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Increasing the number of loops in a solenoid will cause the strength of its magnetic field to
As long as the current is steady, a solenoid's magnetic field will become stronger as the number of loops increases.
Was the electromagnet made stronger or weaker by adding more loops?An electromagnet's strength can be increased by increasing the current or voltage as well as the quantity of wire loops encircling the iron core.
What number of loops will result in the strongest magnetic field?It follows that increasing the number of turns or the current flow (by raising the voltage because I = V/R) will produce a stronger magnetic field for a given coil length. Therefore, a coil with N of 1000 turns would generate a stronger magnetic field than one with N of only 100 turns.
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what’s the answer for this
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?
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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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]
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:
If the fundamental frequency of this harmonic is 7 Hz, at which frequency is this created? (Just type the number, not the units) pic attached below
If the fundamental frequency of the harmonic is 7 Hz, the frequency at which it is created depends on the harmonic being referred to.
How do we explain?Frequency of harmonics
If the fundamental frequency of a harmonic is 7 Hz, then the frequency at which the harmonic is created depends on the harmonic series being used.
The frequency of the nth harmonic in a harmonic series is equal to n times the fundamental frequency. Therefore, the first five harmonics of a harmonic series with a fundamental frequency of 7 Hz would be:
First harmonic (fundamental): 7 Hz
Second harmonic: 2 x 7 Hz = 14 Hz
Third harmonic: 3 x 7 Hz = 21 Hz
Fourth harmonic: 4 x 7 Hz = 28 Hz
Fifth harmonic: 5 x 7 Hz = 35 Hz
So, the frequency at which the harmonic with a fundamental frequency of 7 Hz is created depends on which harmonic is being referred to.
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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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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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The learner added some iodine solution to the water in the test tube. After 30 minutes at room temperature, the contents of the visking tubing bag were stained black, but the water in the test tube remained a yellow color.( I) explain this results
what is parallel universe ?
Answer:
I really hope this helps.:)
Explanation:
A parallel universe, also known as a parallel dimension, alternate universe, or alternate reality, is a hypothetical self-contained plane of existence, co-existing with one's own. The sum of all potential parallel universes that constitute reality is often called a "multiverse".
A circular coil 14.0 cm in diameter and containing nine loops lies flat on the ground. The Earth's magnetic field at this location has magnitude 5.50×10−5T and points into the Earth at an angle of 58.0 below a line pointing due north. A 6.90-A clockwise current passes through the coil.
The Earth's magnetic field at the location has a magnitude of 5.50×10^−5 T and points into the Earth at an angle of 58.0 degrees below a line pointing due north.
What is Magnetic Field?
A magnetic field is a region of space surrounding a magnet or a current-carrying conductor in which magnetic forces are exerted on other magnetic objects or moving charged particles. Magnetic fields are characterized by their direction, magnitude, and polarity. The direction of a magnetic field is defined as the direction in which a magnetic north pole would be pulled or aligned, and is conventionally represented by magnetic field lines that form closed loops.
Based on the information provided, it seems like you have described a situation where a circular coil with a diameter of 14.0 cm and containing nine loops is lying flat on the ground.
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A circular coil 14.0 cm in diameter and containing nine loops lies flat on the ground. The Earth's magnetic field at this location has magnitude 5.00×10−5T and points into the Earth at an angle of 58.0 ∘ below a line pointing due north. A 6.90-A clockwise current passes through the coil. Determine the torque on the coil, and which edge of the coil rises up: north, east, south, or west?
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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The map above shows the boundary between the North American plate and the Pacific plate. The relative motion of the plates along this boundary varies depending on location. The red arrow on each plate shows which direction the plate is moving relative to the other plate in this specific location.
Which kind of tectonic plate boundary exists in this specific location?
A. divergent boundary
B. transform boundary
C. convergent boundary
D. continental rift
Answer: A. Divergent boundary
Explanation:
I really think its D if not i'm really sorry
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.
when a pure water is heated , it increases in volume
As water freezes below 4°C, the volume of the liquid shrinks and water molecule motion slows. When the temperature rises over 4 °C, the water molecules spread out and take up more space, increasing the volume.
How does cooling water from 4 C to 0 C affect its volume?Due to the peculiar property of water known as "Anomalous Expansion of Water," when 1 liter of water is cooled from 4°C to 0°C, the volume of the water starts to grow. Between 4°C and 0°C, water expands abnormally.
What happens to water's specific volume when it is heated from 0 degrees Celsius?Water volume reduces as it is heated from 0°C to 4°C because the water's density will be maximum
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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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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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How much more force can the larger piston exert compared with the force applied to the smaller piston
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:
The 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the (Figure 1) and the tension in the upper string is 78.0 N. Find the number of revolutions per minute at which the lower cord just goes slack.?
The number of revolutions per minute at which the lower cord just goes slack is approximately 38.2 rpm.
To solve this problem, we need to use the concept of centripetal force and tension in the strings. When the lower string just goes slack, the tension in the string is zero and the centripetal force required for circular motion is provided only by the weight of the block.
We can start by calculating the weight of the block using the formula:
[tex]F_g[/tex] = m * g
Where [tex]F_g[/tex] is the weight, m is the mass, and g is the acceleration due to gravity. Substituting the given values, we get:
[tex]F_g[/tex] = (4.00 kg) * (9.81 m/s²) = 39.24 N
Since the tension in the upper string is 78.0 N, the net force acting on the block is:
[tex]F_{net}[/tex] = T - [tex]F_g[/tex] = 78.0 N - 39.24 N = 38.76 N
This net force provides the centripetal force required for circular motion, given by the formula:
[tex]F_{cp}[/tex] = m * v² / r
Where [tex]F_{cp}[/tex] is the centripetal force, m is the mass, v is the velocity, and r is the radius of rotation. Since we are asked to find the number of revolutions per minute, we can convert this to radians per second using the conversion factor:
1 revolution = 2π radians
1 minute = 60 seconds
Substituting the given values, we get:
Fcp = (4.00 kg) * v² / r
38.76 N = (4.00 kg) * v² / r
Solving for v²/r, we get:
v² / r = 38.76 N / 4.00 kg
v² / r = 9.69 m/s²
Next, we can use the fact that the length of the upper string is twice the length of the lower string to find the radius of rotation:
2l + l = 3l = r
Where l is the length of the lower string. Substituting the given values, we get:
3l = r = 0.600 m
Finally, we can substitute this value into the equation for v²/r to get:
v² / (0.600 m) = 9.69 m/s²
v² = 5.814 m²/s²
v = 2.41 m/s
To convert this to radians per second, we multiply by 2π and divide by the circumference of the circle:
ω = 2πv / (2πr) = v / r = 2.41 m/s / 0.600 m = 4.02 rad/s
To find the number of revolutions per minute, we can multiply this by the conversion factor:
1 radian per second = 60 / 2π revolutions per minute
N = (4.02 rad/s) * (60 / 2π) = 38.2 rpm
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