When two sources of waves with the same frequency are active, the path length difference must be equal to some whole multiple of the wavelength plus one half the wavelength for the waves to interfere destructively.
This is because in order for two waves to interfere destructively, they must be exactly out of phase with each other. When waves are out of phase, the crest of one wave lines up with the trough of the other, resulting in a cancellation of the waves. This occurs when the path length difference between the two waves is equal to an odd multiple of half wavelengths. For example, if the distance between the two sources is exactly one wavelength, then the waves will interfere constructively, resulting in a stronger wave. However, if the distance is increased to one and a half wavelengths, then the waves will interfere destructively, resulting in a weaker or canceled wave. This pattern repeats for all odd multiples of half wavelengths.
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a large truck tire is inflated to a gauge pressure of 78 psi. the total area of one sidewall of the tire is 1,270 in2. what is the net outward force (in lb) on the sidewall because of the air pressure? (enter the magnitude.)
Which phase change represents a decrease in entropy?answer choicesa. solid to liquidb. gas to liquidc. liquid to gasd. solid to gas
Gas to liquid is the phase change represents a decrease in entropy.
option B
The measurement of randomness or disorder in a system is known as entropy.
As for the order of entropy, The increase in disorder causes the entropy to rise when we transition from the solid state to the liquid state to the gaseous state. Entropy will decrease when we transition from a gaseous state to a liquid state and then a solid state because chaos is becoming less disorganized. Entropy rises for options 1, 3, and 4. whereas the entropy falls in option 2. Entropy is the measurement of the amount of thermal energy per unit of temperature in a system that cannot be used for productive labor. Entropy is also a measure of molecular disorder since work is produced by ordered molecular motion.
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the moon is decreasing in light between a full moon and a last quarter moon called___
The moon is decreasing in light between a full moon and a last quarter moon called waning.
Describe about moon?
Moon is the satellite of Earth and the only natural satellite of Earth. It is the fifth-largest natural satellite in the Solar System. It orbits around Earth in an elliptical path and takes 27.3 days to complete one revolution. It is made up of different types of rocks and dust and has no atmosphere. Its surface is covered with impact craters, mountains, valleys, and lava-filled plains. It also has frozen water at the poles. The moonlight is reflected sunlight and the light of the moon changes its shape throughout the month due to its changing position with respect to the Earth and the Sun. It is the Earth's only natural satellite and the most visible object in the night sky.
Therefore, The moon is decreasing in light between a full moon and a last quarter moon called waning.
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If this collision occurs during a time of 0.012 seconds, what is the average force exerted on the ball
(a) The change in momentum is -12.04 kg-m/s
(b) The force exerted by the bat is 1003.33 N
How to calculate?The given values are :
The mass of a ball, m = 0.14 kg
Initial speed of the ball, u = 40 m/s
Final speed of the ball, v = -46 m/s
(a) The change in momentum of the ball during the collision with the bat is given by :
Change in P = m(v-u )
Change in P = 0.14(-46-40)
Change in P = - 12.04 kg-m/s
(b) Time for collision, t = 0.012 s
the force can be calculated as follows :
force = Change in P/ t
force = 1003.33 N
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Complete question:
An official major league baseball has a mass of 0.14 kg. A pitcher throws a 40 m/s fastball which is hit by the batter straight back up the middle at a speed of 46 m/s.
a) What is the change in momentum of the ball during the collision with the bat?
b) If this collision occurs during a time of 0.012 seconds, what is the average force exerted by the bat on the ball?
the tortoise and the hare are running a 1 km race. after running comfortably for 7 s, the hare is so far ahead that he decides to take a nap under a tree, 100 m away from the finish line. if the tortoise is moving constantly at a speed of 0.27 m/s, and the maximum speed of the hare is 15 m/s, how long can the hare afford to nap if he does not want to lose the race?(a) 6.67 s(b) 370 s(c) 3630 s(d) 3690 s
The correct option is D. 3690s They can hare afford to nap if he does not want to lose the race.
D= 1000m
[tex]V_T[/tex]= 0.27 m/s
[tex]T_t=\frac{1000}{0.27} = 3703.7sec[/tex]
[tex]T_h = \frac{100}{15}[/tex][tex]= 6.7sec[/tex]
[tex]T_t = 7+ t_n +t_h[/tex]
[tex]3703.7 = 7+t_n +6.7\\t_n = 3703.7- 13.7\\t_n = 3690sec[/tex]
The pace is measured as the ratio of distance to the time wherein the distance is turned into a blanket. the pace is a scalar quantity because it has the most effective course and no importance. For the size of the pace in vehicles, speedometers are used. pace also can be calculated with the assistance of a graph. the space-time graph allows know-how of the rate of an object.
In regular use and in kinematics, the rate of an object is the value of the change of its position over the years or the importance of the alternate of its function per unit of time; its miles as a result a scalar amount. the spot pace is the limit of the common pace because the period of the time c program language period approaches 0. pace isn't always similar to velocity.
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the two factors that determine gravitational attraction are mass and what else?
The two factors that determine gravitational attraction are mass and distance.
What is gravitational?Gravitational force is the force of attraction between two objects that is directly related to their mass and the distance between them. It is one of the four fundamental forces of nature, along with the electromagnetic force, weak nuclear force, and strong nuclear force. The gravitational force is responsible for keeping planets in orbit around the sun, for holding the Earth and moon in their respective orbits, and for keeping the moon spinning on its axis.
The gravitational force between two objects is determined by the product of their masses and the inverse square of their distance. This can be expressed mathematically as: F = G (m1m2) / d², where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them. As the distance between two objects increases, the force of gravitational attraction between them decreases.
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a hanging spring is stretched by 0.2 m when a mass of 0.5 kg is attached to it. the mass is then pulled down a further 0.1 m and released from rest. what is the angular frequency of the resulting oscillations? show your work.
The angular frequency of the oscillations is 3.126 rad/s.
What is the angular frequency?To find the angular frequency of the oscillations, we need to use the formula:
ω = √(k/m)
where ω is the angular frequency, k is the spring constant, and m is the mass attached to the spring.
First, let's find the spring constant k. According to Hooke's law, the force F applied to a spring is proportional to its displacement x from its equilibrium position, and the constant of proportionality is the spring constant k:
F = -kx
where the negative sign indicates that the force is in the opposite direction to the displacement. We can rearrange this equation to solve for k:
k = -F/x
where F is the weight of the mass attached to the spring, which is given by:
F = mg
where m is the mass of the object and g is the acceleration due to gravity. Therefore, we have:
k = -(mg)/x
Substituting the given values, we get:
[tex]k = -(0.5 kg)(9.81 m/s^2)/(0.2 m)[/tex]
= -24.525 N/m
Next, we need to find the new equilibrium position of the mass after it is pulled down by an additional 0.1 m. Since the spring is initially stretched by 0.2 m, the total displacement from the rest position is 0.2 m + 0.1 m = 0.3 m. Therefore, the new equilibrium position is 0.3 m below the original rest position.
Now, we can find the angular frequency of the oscillations using the formula:
ω = √(k/m)
where m is the mass of the object. Since the mass is the same as before, we have:
ω = √(k/m)
= √(-24.525 N/m / 0.5 kg)
= 3.126 rad/s
Therefore, the angular frequency of the oscillations is 3.126 rad/s.
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What does it mean that an electron behaves in ways that are at least partially indeterminate?
An electron behaves in ways that are at least partially indeterminate it means electron does not follow the same trajectory.
An electron is a quantum entity and a very tiny atom. The bonding of individual atoms depends heavily on electrons. The charge on the electron is adverse.
Species holding negative charge are popular by the name of" electrons" and electromagnetic field is employed to capture electrons by laboratory instruments. Several chemistry generalities are described using electrons and colorful subatomic patches.
This statement means that electrons have indeterminate geste which states that under identical conditions an electron doesn't follow the same line. Also, the electrons don't land in the same spot each time. thus, an electron behaves in ways that are at least incompletely indeterminate.
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A student measures the mass of a solution before and after a chemical reaction takes place. In both cases the students measures the mass to be 50.25 g on an electronic balance with an uncertainty of 0.05 g. The student realizes that the ranges of uncertainty for each measurement overlap exactly. Which claim can the student make?
A. The mass definitely stayed the same because the measurement of 50.25 g was obtained each time.
B. The mass definitely stayed the same because the ranges of uncertainty overlap exactly.
C. We can’t know for sure whether or not the mass changed, but it seems reasonable to claim that the mass did not change, given that the ranges of uncertainty overlap.
The correct claim the student can make is: B. The mass definitely stayed the same because the ranges of uncertainty overlap exactly.
What is mass?A measurement of the quantity of matter in an item or system, mass is a basic physical characteristic of matter. Due to its scalar nature, it has simply magnitude and no direction. One of the most fundamental ideas in physics is mass, which is also connected to other key ideas like weight, force, and energy.
The kilogram is the SI unit of mass (kg). There are several ways to measure mass, but the most popular one is with a balance or a scale. A balance assesses an object's mass in relation to a recognized standard. Contrarily, a scale employs a force to overcome an object's gravitational pull before measuring the result.
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how does conservation of momentum describe both the system as a whole, and individual objects within a system, during any type of collision
In any interaction between objects, the total momentum of the objects before the interaction is equal to the total momentum of the objects after the interaction.
Conservation of momentum is a fundamental law of physics that states that the total momentum of a system of objects is conserved if no external forces act on the system.
During a collision, momentum is transferred between the objects involved in the collision. According to the law of conservation of momentum, the total momentum of the objects before the collision is equal to the total momentum of the objects after the collision. This means that the momentum of the system as a whole is conserved.
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(21) If you want to create a pendulum that has a period of 5 seconds, how long would the string need to be?
a.
1.58 meters
c. 2.75 meters
b. 6.33 meters
d. 3.21 meters
(22) What would be the frequency of the pendulum?
0.16 Hz
c. 6.33 Hz
1.26 Hz
d. 0.2 Hz
The length of the string is 2.75m and the frequency of the pendulum is 0.2Hz.
What is frequency?Frequency is a measure of the number of cycles of a periodic wave that occur in a unit of time. It is usually expressed in Hertz (Hz), which is the number of cycles per second. The frequency of a wave determines its perceived pitch, with higher frequencies producing higher pitches and lower frequencies producing lower pitches.
a. The length of the pendulum required to achieve a period of 5 seconds can be calculated using the formula:
T = 2 * π * √(l/g)
where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity (approximately [tex]9.8 m/s^2[/tex]). Solving for l:
[tex]l = (g * T^2) / (4 * π^2)[/tex]
Substituting T = 5 seconds and g =[tex]9.8 m/s^2[/tex], we get:
[tex]l = (9.8 * 5^2) / (4 * π^2)[/tex] = 2.75 meters
So the correct answer is c. 2.75 meters.
(22) b. The frequency of a pendulum is given by the formula:
f = 1 / T
where f is the frequency and T is the period. Substituting T = 5 seconds, we get:
f = 1 / 5 = 0.2 Hz
So the correct answer is d. 0.2 Hz.
Therefore, The length of the string is 2.75m and the frequency of the pendulum is 0.2Hz.
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if mirror m2 in a michelson interferometer shown below is moved through 0.237 mm, a shift of 798 bright fringes occurs. what is the wavelength of the light producing the fringe pattern?
The wavelength of the light producing the fringe pattern is (2 * 0.237 mm) / 798 = 0.00059mm.=590nm
To solve for the wavelength of the light producing the fringe pattern, we can use the formula:
wavelength = (2 * distance moved by mirror M2) / (number of fringes shifted)
Plugging in the values given, we get:
wavelength = (2 * 0.237 mm) / 798 = 0.00059 mm=590nm
Therefore, the wavelength of the light producing the fringe pattern is 0.00059 mm.
In a Michelson interferometer, a beam of light is split into two parts by a semi-transparent mirror called a beam splitter. One part of the beam travels to a fixed mirror, while the other part of the beam travels to a movable mirror. The two reflected beams recombine at the beam splitter and create an interference pattern that can be observed. By moving the movable mirror, the phase difference between the two beams changes, causing the interference pattern to shift. By measuring the number of fringes shifted and the distance the mirror is moved, it is possible to determine the wavelength of the light.
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The current official highest registered air temperature on Earth is 56.7 °C (134.1 °F), recorded on 10 July 1913 at Furnace Creek Ranch, in Death Valley in the United States.
Yes, that is correct. The World Meteorological Organization (WMO) has recognized a temperature of 56.7 °C (134.1 °F) recorded on July 10, 1913, at Furnace Creek Ranch in Death Valley, California, USA, as the highest temperature ever reliably recorded on Earth. This record was set during a period of intense heat in the region and remains the subject of some debate and scrutiny by scientists due to the quality of the recording equipment used at the time.
What is the World Meteorological Organization (WMO)?In order to foster worldwide collaboration in meteorology, the study of the Earth's atmosphere and its phenomena, and allied geophysical disciplines, the United Nations has established the World Meteorological Organization (WMO). It was founded in 1950, and Geneva, Switzerland, serves as its corporate headquarters.
The WMO's goals are to encourage the growth and use of meteorology for the benefit of humanity and to make it easier for its member nations to exchange meteorological and related information. National meteorological and hydrological services are given direction and support by it, which enables them to build better weather forecasting and warning systems as well as methods for dealing with the effects of weather-related disasters and climate change.
The World Meteorological Organization (WMO) is in charge of a number of significant global projects and programs, such as the World Weather Watch, which gathers and disseminates meteorological information and forecasts globally, and the Global Atmosphere Watch, which tracks changes in the composition of the Earth's atmosphere and their effects on climate and the environment.
For the measurement of weather and climate variables, the WMO also upholds a number of international standards and norms. It also plays a significant role in advancing scientific research and capacity building in developing nations.
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Yes, that is correct. The World Meteorological Organization (WMO) has recognized a temperature of 56.7 °C (134.1 °F) recorded on July 10, 1913, at Furnace Creek Ranch in Death Valley, California, USA, as the highest temperature ever reliably recorded on Earth.
What is the World Meteorological Organization (WMO)?In order to foster worldwide collaboration in meteorology, the study of the Earth's atmosphere and its phenomena, and allied geophysical disciplines, the United Nations has established the World Meteorological Organization (WMO). It was founded in 1950, and Geneva, Switzerland, serves as its corporate headquarters.
The WMO's goals are to encourage the growth and use of meteorology for the benefit of humanity and to make it easier for its member nations to exchange meteorological and related information. National meteorological and hydrological services are given direction and support by it, which enables them to build better weather forecasting and warning systems as well as methods for dealing with the effects of weather-related disasters and climate change.
The World Meteorological Organization (WMO) is in charge of a number of significant global projects and programs, such as the World Weather Watch, which gathers and disseminates meteorological information and forecasts globally, and the Global Atmosphere Watch, which tracks changes in the composition of the Earth's atmosphere and their effects on climate and the environment.
For the measurement of weather and climate variables, the WMO also upholds a number of international standards and norms. It also plays a significant role in advancing scientific research and capacity building in developing nations.
This record was set during a period of intense heat in the region and remains the subject of some debate and scrutiny by scientists due to the quality of the recording equipment used at the time.
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If a wave has a speed of 47 m/s and a wavelength of 25 m, what is the frequency of the wave? Give your answer to 2 decimal places.
Answer:
The formula is:
v = f λ
Where,
v is the velocity or speed of the wave (in m/s)
f is the frequency of the wave (in Hz)
λ is the wavelength of the wave (in m)
We can rearrange this formula to solve for the frequency:
f = v / λ
We are given the speed and the wavelength of the wave, so we can plug them into the formula:
f = 47 m/s / 25 m
f = 1.88 Hz
To give the answer to 2 decimal places, we round it to:
f = 1.88 Hz
Therefore, the frequency of the wave is 1.88 Hz.
Explanation:
Answer:
1.88 Hz.
Explanation:
The frequency (f) of a wave is related to its speed (v) and wavelength (λ) by the equation f = v/λ.
So to find the frequency of a wave with a speed of 47 m/s and a wavelength of 25 m, we just need to substitute these values into the equation:
f = 47 m/s / 25 m
f = 1.88 Hz
Rounding to 2 decimal places, the frequency of the wave is 1.88 Hz.
will the efficiency increase decrease or remain the same if you make the inclined plane steeper
Answer:
The efficiency of a simple machine such as an inclined plane will decrease if the plane is made steeper. This is because a steeper plane requires more force to lift the same load, leading to a greater loss of energy due to friction and other sources of inefficiency. A gentler slope allows the force applied to the load to be spread out over a greater distance, reducing the force required to lift the load and therefore increasing the overall efficiency of the machine.
Explanation:
ALLEN
An airplane flies 170 km in 15 minutes.
What is its average speed
Answer:
11.33 km/min
Explanation:
170km ÷ 15min = 11.33km/min
A box that is 46.83 kg is on a flat surface. The box and surface have a friction coefficient of 0.99. If the box is accelerating to the right, what is the friction force? Answer to the hundredths.
what parts are in a tv
The exterior or housing, the audio reception and speaker system, the picture tube, and a complicated mass of electronics including cable.
What are the principal sets of parts in TV?Antennae input and output devices, a built-in antenna in most sets, a remote control receiver, and computer chips, make up the four main sets of parts that make up a television.
Typically, in addition to coaxial cable, HDMI, and other audio-video connectors, smart TVs also enable Ethernet, WiFi, USB, Bluetooth, and flash memory cards from digital cameras.
Therefore, the TV consists of exterior, audio reception, speaker system, and picture tube.
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two identical boats with identical engines (so they push with the same force) race across a lake. one boat carries four large men, and the other carries two small women. which boat wins the race?
If all other conditions (such as wind speed and water current) are equal and there are two identical boats with identical engines that push with the same force, the boat carrying the two little women is likely to win the race.
Assuming the two boats have identical mass and shape, the boat carrying the four large men will be slower than the boat carrying the two small women. This is because the boat carrying the men has more total weight, and thus has a greater force of gravity acting upon it. The greater force of gravity increases the frictional forces between the boat and the water, which in turn decreases the speed of the boat. According to Newton's second law of motion, the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. Since the two boats are being pushed with the same force, the boat with less mass (i.e., the boat carrying the two small women) will experience greater acceleration than the boat with more mass (i.e., the boat carrying the four large men). Therefore, the boat carrying the two small women is likely to win the race, assuming all other factors (such as wind speed and water current) are equal.
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is it an inward force or an outward force that is exerted on the clothes during the spin cycle of a washing machine?
two similar wooden blocks are tied one behind the other and pulled across a level surface. friction is not negligible. the force required to pull them at constant speed is f. if one block is stacked upon the other, how would the new force required to pull them at constant speed compare to f?
If the force required to pull the two separate blocks at constant speed is F, then the force required to pull the two stacked blocks at a constant speed will be 2F.
When two blocks are tied together and pulled across a level surface with friction, the force required to pull them at constant speed is determined by the frictional force between the blocks and the surface. Let's call this force F.
When one block is stacked on top of the other, the total mass of the two blocks is now doubled, but the contact area between the blocks and the surface remains the same. As a result, the frictional force between the blocks and the surface will also double, since it is proportional to the normal force (the force perpendicular to the surface), which is equal to the weight of the blocks. Therefore, the force required to pull the two stacked blocks at a constant speed will be twice the original force F required to pull the two separate blocks.
In other words, if the force required to pull the two separate blocks at constant speed is F, then the force required to pull the two stacked blocks at a constant speed will be 2F.
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As a warehouse worker pushes a crate across a concrete floor, the force he applies is not perfectly horizontal, as shown in the image below. If the coefficient of kinetic friction between the crate and concrete floor is 0.5, what is the net force on the crate?
A. 87 N
B. 110 N
C. 77 N
D. 135 N
this image of a roller coaster is designed to show important informtion about potential and kinetic energy. one of these labeled pieces of information is incorrect. which information is wrong, and why?
The connection of kinetic energy and potential is demonstrated by this animated roller coaster created by WGBH. When the coaster cars travel around the track's loop and ascend and descend the hills.
Describe kinetic.
Those who are learning English Kinetic is defined as being related to or pertaining to the motion of physical objects, including the forces that cause those motions. Kinetic energy: of or pertaining to the energy and energy involved in the motion of physical objects.
What is the kinetic energy relationship?
She was the initial person to publish the kinetic energy relationship. This implies that an object traveling at twice the speed will strike twice as forcefully. The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
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what is the speed of the ball as it swings through this point? express your answer with the appropriate units.
The speed of the ball as it swings through this point is a) 23.8 m/s
b) 0
The most crucial scientific notion is measurement. A variety of measurable quantities are quantified using base or physical fundamental units.. One such quantifiable metric is speed, which calculates the ratio between the distance an item travels and the time needed to cover that distance. Let's explore speed in-depth in this session. Given that it just has a direction and no magnitude, speed is a scalar quantity.
a) The ball deviates from a straight line course due to the strain in the rope, which counteracts the effects of gravity. Last year's acceleration is
a =[tex]\frac{ T -mg}{m}[/tex] = 2g = [tex]\frac{v^2}{r}[/tex]. . . . m is mass
v = [tex]\sqrt(2gr)[/tex]= [tex]\sqrt{(2\times9.8 \times29 )} = \sqrt{(568.4 m^2/s^2)}[/tex]
v ≈ 23.8 m/s a rough estimate of the ball's speed at the low point
b) The acceleration needed to cause the ball to veer from its horizontal course is determined using the same procedure.
a = a =[tex]\frac{ T -mg}{m}[/tex] = [tex]\frac{ mg -mg}{m}[/tex]= 0
and the velocity is v = [tex]\sqrt{(ar)[/tex] = 0 . . . . . speed of the ball where the rope is vertical
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A system is at rest. The mass of each object is shown. Neglecting the mass of the strings, how many forces are acting on the 6 kg block?
string 1
6kg
string 2
9kg
A. There is 1 force.
B. There are 2 forces.
C. There are 3 forces.
D. There are 4 forces.
A system is at rest. The mass of each object is shown. Neglecting the mass of the strings, the number of forces that are acting on the 6 kg block is option B. There are 2 forces
How did we arrive at the assertion?The system is at rest, so the forces acting on the 6 kg block must be balanced. Since the only forces acting on the block are the tensions in the strings, there must be two forces acting on the block. The correct answer is B. There are 2 forces.
Therefore, the mass of each object is shown. Neglecting the mass of the strings, the number of forces that are acting on the 6 kg block is option B. There are 2 forces.
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why is the following situation impossible? a technician is testing a circuit that contains a resistance . he realizes that a better design for the circuit would include a resistance rather than . he has three additional resistors, each with resistance . by combining these additional resistors in a certain combination that is then placed in series with the original resistor, he achieves the desired resistance.
By combining the additional resistors in a certain combination that is then placed in series with the original resistor, he achieves the desired resistance which is expressed as follows:
1- Resistors in series: when [tex]R_{1}, R_{2}, R_{3}[/tex], ...... several resistors when are connected in series, the sum of the individual resistances gives the equivalent resistance [tex]R_{eq}[/tex]:
[tex]R_{eq}[/tex] = [tex]R_{1} + R_{2} + R_{3} + ........[/tex]
2- Resistors in Parallel: when [tex]R_{1}, R_{2}, R_{3}[/tex], ...... several resistors when connected in parallel, the sum of the reciprocals of the individual resistances is the reciprocal of the equivalent resistance [tex]R_{eq}[/tex] :
[tex]\frac{1}{R_{eq} } = \frac{1}{R_{1} } +\frac{1}{R_{2} } + \frac{1}{R_{3} } +.... (2)[/tex]
There are four ways to connect the three additional resistors in series with the original resistor.
The first way is if all the resistors are in series. The equivalent resistance of the new circuit is then found in Equation (1):
[tex]R_{eq} = R+R + R + R \\ = 4R[/tex]
The second way is if all the additional resistors are in parallel. The three resistors in the blue rectangle are in parallel and their equivalent resistance is from Equation(2):
[tex]\frac{1}{R_{eq} } = \frac{1}{R} + \frac{1}{R} + \frac{1}{R} \\ R_{eq} = \frac{R}{3}[/tex]
The R/3 and R resistors are in series and their equivalent resistance is ind from Equation (1):
[tex]R_{eq} = \frac{R}{3} + R\\ = \frac{4}{3} R[/tex]
The third way is if two resistors from the additional resistors are in parallel and the third one is in series with the combination. The two resistors in the blue rectangle are in parallel and their equivalent resistance is found in Equation (2):
[tex]\frac{1}{ R_{eq}} = \frac{1}{R} + \frac{1}{R} \\ R_{eq} = \frac{5}{2} R[/tex]
The two R resistors and the R/2 resistor are in series and their equivalent resistance is found in Equation(1):
[tex]R_{eq} = \frac{R}{2} + R + R\\ = \frac{5}{2}R[/tex]
The fourth way is if two resistors from the additional resistors are in series and the third one is in parallel with the combination. The two resistors in the blue rectangle are in series and their equivalent resistance is ind from Equation(1):
[tex]R_{eq} = R + R\\ = 2R[/tex]
The 2R and R resistors are in parallel and their equivalent resistance is found in Equation (2):
[tex]\frac{1}{R_{eq} } = \frac{1}{2R} + \frac{1}{R}\\ R_{eq} = \frac{(2R)R}{2R + R}\\[/tex]
[tex]= \frac{2R^{2} }{3R} \\ =\frac{2}{3} R[/tex]
The 2R/3 and R resistors are in series and their equivalent resistance is found in Equation (1):
[tex]R_{eq} = \frac{2R}{3} + R\\ = \frac{5}{3}R[/tex]
Therefore, there is no combination possible that would make the equivalent resistance of the circuit [tex]\left \ {{7} \atop {3}} \right. R[/tex] and the expressed situation is impossible.
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can somebody help asap please
The value of the resistance r is 20.25 ohms.
What is the value of the resistance r?The value of the resistance r is calculated by applying Ohm's law as shown below.
Ohm's law states that the current flowing in a circuit is directly proportional to the voltage across the circuit.
V = IR
where;
V is the voltageR is the resistanceI is the currentP = IV
I = P / V
I = ( 32 W ) / ( 24 V + 12 V )
I = 0.889 A
R = V/I
R = ( 24 + 12 ) / ( 0.889 A )
R = 40.5 ohms
The value of each resistance, r is calculated as;
r = 40.5 ohms / 2
r = 20.25 ohms.
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the maximum audible range is about 15 to 20,000 hz. determine the range of wavelengths for sound over this range of frequency. assume room temperature.
The range of the wavelengths for the sound over the audible range of frequencies in room temperature is from 24 meters to 18×10⁻³ meters.
The relation between velocity , wavelength and frequency of a sound is given by the following equation :
⇒ V = λ x ν where, V stands for the velocity of the sound, λ stands for the wavelength, and ν stands for frequency of the sound. To find wavelength, we have to put ν on the left side of the equation which gives us :
λ = V/ν
Velocity of the sound at room temperature ≈ 360m/s
For 15 hertz, Wavelength = V/ν
= 360/15
=24 meters
For 20,000 hertz, Wavelength = V/ν
= 360/20000
=18×10⁻³ meters
Therefore, the audible range of wavelengths is from 24 meters to 18×10⁻³ meters.
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Calculate the freezing point of a solution containing 10.6 g FeCl3 in 159 g water
Calculate the boiling point of a solution above.
The freezing point of the solution will decreases by the addition of the salt. The freezing point of the solution is - 0.76 °C and boiling point increases to 100.21 °C.
What is depression in freezing point ?The addition of a nonvolatile salt into a solvent will decrease the freezing point of the solution. Similarly the salt addition will increases the boiling point of the solution. Both are colligative properties and depends on the molality as written below:
ΔTf = Kf m
ΔTb = Kb m
Where, kb for water is 0.52 °C kg/mol and Kf is 1.86 °C kg/mol.
Molar mass of FeCl₃ = 162.3 g/mol
no.of moles in 10.6 g = 10.6 /162. 3 = 0.065 moles.
mass of water = 159 g = 0.159 kg.
molality of the solution = 0.065 mol/0.159 kg = 0.4088.
now, ΔT = 0.186 °C kg/mol × 0.4088 = 0.76
T = 0 - 0.76 = -0.76°C (freezing point of water = 0°C ).
Similarly ΔTb = 0.52 °C kg/mol × 0.4088 = 0.212
Tb = 100 + 0.212 = 100.21 °C (boiling point of water =100°C ).
Therefore, the freezing point of the solution is- 0.76 °C and boiling point of the solution is 100.21 °C.
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the tortoise and the hare are running a 1 km race. after running comfortably for 7 s, the hare is so far ahead that he decides to take a nap under a tree, 100 m away from the finish line. if the tortoise is moving constantly at a speed of 0.27 m/s, and the maximum speed of the hare is 15 m/s, how long can the hare afford to nap if he does not want to lose the race?
The hare can afford to nap for a maximum time of 6.67 seconds without losing the race if his speed is 15 m/s.
After running for 7 seconds, the hare has covered a distance of:
[tex]d_h = v_h * t = 15 m/s * 7 s = 105 m[/tex]
The hare is now 895 m away from the starting line and 100 m away from the finish line. The tortoise is 895 m away from the starting line and moving towards the finish line at a speed of 0.27 m/s.
The hare needs to cover a distance of 100 m to reach the finish line, while the tortoise needs to cover a distance of 895 m. If the hare takes a nap for a certain amount of time, the tortoise will continue to move towards the finish line and may eventually cross the finish line before the hare wakes up.
We can calculate the time it would take the tortoise to reach the finish line by dividing the distance by its speed:
[tex]t_t = d_t / v_t = 895 m / 0.27 m/s = 3314 s[/tex]
The hare needs to wake up and cover the remaining distance to the finish line before the tortoise does. The distance the hare needs to cover is:
[tex]d_h = 100 m[/tex]
The maximum speed of the hare is 15 m/s, which means the time it would take the hare to cover the distance is:
[tex]t_h = d_h / v_h = 100 m / 15 m/s = 6.67 s[/tex]
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