If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.
What is Newton's second law? In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks. Therefore, if the blocks have different masses, they will have different accelerations. In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.To learn more about newtons second law refer:
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A stone is thrown vertically upward with an initial speed of 18.1 m/s. Neglect air resistance. The speed of the stone when it is 8.26 m higher is:
The velocity of the object when it first reaches a height of 8.10 meters is 18.05 m/s.
Calculation-To find the speed of the stone when it is 8.26 m higher, we can use the equation for vertical motion under constant acceleration. The equation is:
v^2 = u^2 + 2as
Where:
v = final velocity (m/s)
u = initial velocity (m/s)
a = acceleration due to gravity (9.8 m/s^2, downward)
s = distance traveled (m)
In this case, the initial velocity is 18.1 m/s, the distance traveled is 8.26 m upward, and the acceleration due to gravity is 9.8 m/s^2 downward. We can substitute these values into the equation and solve for the final velocity.
v^2 = 18.1^2 + 2 * 9.8 * 8.26
v^2 = 327.61
v = sqrt(327.61)
v = 18.05 m/s
Why ignore air resistance while calculating projectile motion?Air resistance is the term for the frictional force that slows an object's velocity as it moves through the air. Although air resistance considerably affects trajectory motion, it is not taken into account in beginning physics due to the complexity of the calculations.
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If an amount of heat Q is needed to increase the temperature of a solid metal sphere of
diameter D from 4°C to 7°C, the amount of heat needed to increase the temperature of a solid
sphere of diameter 2D of the same metal from 4°C to 7°C is
A. 8Q
B. 40
C. 20
D. Q
As a result, X heat required = 27Q is the amount of heat needed to raise the temperature.
Calculationfirst case
Q = Specific Heat * Density of Sphere* (4/3*pi*D^3) * (7-4) -1
Second case
X = Specific Heat * Density of Sphere* (4/3*pi*(3D)^3) * (7-4) -2
Dividing 1 and 2 we get
Q/X = 1/27
27
How does the heat equation's Q work?where Q is the amount of heat that is transported to or from the item, m is the object's mass, C is the material's specific heat capacity, and T is the resultant temperature change of the object.
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How much of the world's energy is hydroelectric?
According to the United Nations Environment Programme, hydropower accounted for 16.6% of global electricity generation in 2018.
This is equivalent to a total installed capacity of 706 GW, making it the second largest energy source after thermal sources.
Hydropower is a renewable energy source and is often seen as a more sustainable alternative to thermal sources, as it does not release any greenhouse gases into the atmosphere. Additionally, hydropower is a reliable source of energy, and can be used to meet peak energy demand.
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a box of chocolate bars weighs 180N. Its base has an area of 0.09m2. what pressure does it exert on the ground
Answer:
2000
Explanation:
180/0.09
=2000
pressure=force/area
An electron of mass m and charge -e is moving through a uniform magnetic field B=(B2,0,0) in vacuum. (Figure 1)At the origin, it has velocity v = (vx, Vy, 0), where vx >0 and Vy > 0. A screen is mounted perpendicular to the x axis at a distance D from the origin. Throughout, you can assume that the effect of gravity is negligible. First, suppose B, = 0. Find the y coordinate y of the point at which the electron strikes the screen. Express your answer in terms of D and the velocity components V, and Vy. View Available Hint(s) Figure 1 of 1 Now suppose B > 0, and another electron is projected in the same manner. Which of the following is the most accurate qualitative description of the electron's motion once it enters the region of nonzero magnetic field? O The electron decelerates before coming to a halt and turning around while always moving along a straight line. O The electron's motion will be unaffected. (It will continue moving in a straight line with the same constant velocity.) O The electron moves in a circle in the xy plane. screen O The electron moves along a helical path about an axis parallel to the field lines with constant radius and constant velocity in the x direction.
C:The electron moves in a circle in the xy plane.
What is electron ?
Electron is a free and open-source framework created by GitHub that helps developers build cross-platform desktop applications with HTML, CSS, and JavaScript. Electron is based on Node.js and Chromium, making it a powerful tool for creating native applications with web technologies. Electron enables developers to build desktop applications that can run on Windows, Mac, and Linux, as well as Android and iOS devices.
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The hanging mass is referred to as M and it sets the centripetal force.
True
False
Answer:
False
Explanation:
The centripetal force is the force that points towards the center and is responsible for keeping an object in a curved path. This force is provided by the tension in the string, not the mass of the object.
How much heat is given off when 210.0 g of water at 0°C freezes into ice?
Answer:
it gives off 71.0 kJ of heat.
Explanation:
Which of these situations describe the motion shown in the motion diagram at point a?
consider the following situations:
a car is moving along a straight road at a constant speed.
a car is moving along a straight road while slowing down.
a car is moving along a straight road while speeding up.
a hockey puck slides along a horizontal icy (frictionless) surface.
a hockey puck slides along a rough concrete surface.
a cockroach is speeding up from rest.
a rock is thrown horizontally; air resistance is negligible.
a rock is thrown horizontally; air resistance is substantial.
a rock is dropped vertically; air resistance is negligible.
a rock is dropped vertically; air resistance is substantial.
The right response is a hockey puck slides along a horizontal icy frictionless surface and as a car is going along a straight road at a constant pace, according to the motion diagram.
The car is shown in the diagram starting at point a. The arrows remain pointing in the same way. This indicates that the thing is travelling directly forward. The arrows stay stationary at A. This indicates that the thing is travelling continuously.
The speed of the puck is not impacted by friction while it is moving on an ice rink surface. So, it is reasonable to suppose that it is moving at a constant speed before to impact.
The work done is zero only if there is no non-conservative force, such as friction, because the kinetic energy does not vary and the car is going along a straight, horizontal road. The work done will be force into displacement if there is friction.
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Which of the following is an example of erosion in action ?
Example of erosion: Wind carries small pieces of rock away from the side of a mountain.
Which of the following are examples of erosion?Erosion is the procedure by which the surface of the Earth gets worn down. Erosion can be created by natural elements such as erosion as wind and glacial ice. But everyone who has ever seen a picture of the Grand Canyon knows that nothing strikes the erosion slow steady movement of the water when it comes to commuting the Earth
Rain, rivers, floods, lakes, and the ocean convey away bits of soil and sand and slowly wash away the deposit. Rainfall produces four types of soil erosion: splash erosion, sheet erosion, rill erosion, and ravine erosion.
So we can conclude that Erosion is a ruinous force that wears away land features.
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An archer shoots an arrow at a target. The arrow begins at the same height as the target. Which statement describes how the archer should aim the arrow
In order to hit the target, the archer should aim the arrow so that it follows a parabolic trajectory.
The archer should aim the arrow slightly higher than the target, so that the arrow will arc downward and reach the target. Additionally, the archer should take into account other factors such as wind speed and direction, as these can affect the trajectory of the arrow.
The parabolic trajectory is a curve created when an object is thrown or shot in the air at an angle, then follows the path of a parabola. The parabolic trajectory allows for the object to travel in an arc and reach a certain distance, such as a target.
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The human ear canal is about 2. 8 cm long and can be regarded as a tube open at one end and closed at the eardrum. What is the frequency around which we would expect hearing to be best when the speed of sound in air is 344. 5 m/s? (hint: find the fundamental frequency for the ear canal. )
The human ear canal is closed at one end. Thus, the fundamental frequency of the given ear canal is 3044.64Hz 3044.64 Hz .
Calculation and Explanation:Under air conduction (AC) excitation, the mean resonance frequency of the human middle ear is estimated to be between 0.8 and 1.2 kHz. The typical resonance frequency under bone conduction (BC) excitation, according to research, is higher, at 1.5–2 kHz.
It is a tube with an open end (the concha section) and a closed end (the tympanic membrane), which responds to a quarter-wave by behaving as a resonator. The resonance frequency is described by the equation F=v/4L, where "v" stands for the speed of sound and "L" for the length of the EAC.
The EAR formula should be used: EAR = (1+ i/n)n - 1. I = Stated interest rate, etc.
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In the sketch to the right, a long straight wire is in the plane of a rectangular conducting wire loop. The current in the straight wire is up. At some point the current in the straight wire starts to increase in magnitude. This increased current leads to an induced current in the wire loop. In which direction will the induced current in the wire loop be? Explain how you reached this conclusion. How would your answer be different if the wire loop was on the left side of the wire instead of the right side?
The direction of the induced current in the wire loop is anti-clockwise.
The direction of the induced current if the wire loop was on the left side of the wire is clockwise.
Lenz's law and the direction of the induced current are the key concepts needed to address this issue.
To determine the direction of the induced current under various circumstances, use Lenz's law.
The induced emf of the coil is proportional to the negative of the rate of change of magnetic flux, according to Faraday's law.
The following expression represents the typical emf that is generated in the coil during the course of the time period: [tex]$$\varepsilon=-\frac{\Delta \Phi}{\Delta t}$$[/tex]
Here, [tex]$\varepsilon$[/tex] is the average emf that is induced in the coil during the time interval and [tex]$\Delta \Phi / \Delta t$[/tex] is the rate of change of magnetic flux.
A magnetic field is induced in the rectangular loop as a result of the current in the wire. The plane is the intended target of this magnetic field.
As the current in the wire grows, the magnetic flux in the rectangular coil rises.
An emf and current are induced by Faraday's law.
Following is noted from Lenz's law:
The inwards growing flux is opposed by the generated current. Therefore, the induced current must flow counterclockwise in order to meet this.
When the rectangular loop is kept to the left of the wire, the magnetic flux will be directed outward.
If the wire loop was on the left side of the wire, the induced current would flow clockwise.
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What type of energy is a ball rolling down a ramp?
Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp along with many forces such as rolling tangential force and gravitational force.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form. also by this we tend to know that the Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp.
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What is the sound intensity level of a sound with an intensity of 4.0×10−6 W/m2 ?
Express your answer in decibels.
Answer: 66.02dB
Explanation: We use the equation β=(10dB)㏒([tex]\frac{I}{I_0}[/tex])
[tex]I_{0}[/tex]= the threshold of hearing which is 1.0×[tex]10^{-12}[/tex]W/[tex]m^{2}[/tex]
Plug in our knowns β=(10dB)㏒([tex]\frac{4.0*10^{-6} }{1.0*10^{-12} }[/tex])=66.02dB
A block of mass 0.10 kg is attached to one end of a spring with spring constant 50n*m. The other end of the spring is secured to a wall. The block is pushed against the spring, which compresses the spring to a position of x=-0.04m. When uncompressed, the end of the spring that is attached to the block is at a position of x=0.00m. The block-spring system is then released from rest, and the block travels along a horizontal, rough track. A motion sensor is placed so that it measures the velocity of the object as it slides along the track. A graph of total mechanical energy of the block-spring system as a function of position is shown. Which of the following statements about the block-spring system are true? Select two answers.
The force exerted on the block by the spring at x=−0.02 m is 1 N.
The block has maximum speed at x=0.00 m.
The block has half the initial spring potential energy at x=−0.025 m.
The work done by friction as the block travels from x=-0.04 m to x=-0.02 m is 0.01 J
Based on the graph;
The work done by friction as the block travels from x =-0.04 to x = −0.02 m is 0.01 J.
The force exerted on the block by the spring at x = −0.02 m is 1 N.
What is a spring constant?The stiffness of a spring is indicated by the spring constant, k. For various springs and materials, it varies. The stiffer the spring is and the harder it is to stretch, the larger the spring constant. The spring constant is a measure of the spring's stiffness.
The force exerted by a spring of spring constant, k is given below as follows:
F = - kx.
where;
F is the forcek is called the spring constant. x is the change in length from its equilibrium length, the negative sign indicates that the spring exerts a force F in a direction toward its equilibrium position.Learn more about spring constant at: https://brainly.com/question/23885190
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How does mass affect the heat that can be absorbed by a substance?
The mass of the material has no influence on specific heat because it is already a quantity represented per unit mass.
Casey Hudson, Drew Karpyshyn, and Preston Watamaniuk created the military science fiction media franchise Mass Effect. The franchise shows a distant future in which humans and many alien civilizations have conquered the known universe utilizing advanced predecessor civilizations' technologies.
The franchise began with a series of video games created by BioWare and released by Electronic Arts. Each iteration combines third-person shooting gameplay with role-playing features. The first three games comprise a trilogy in which the player character, Commander Shepard, strives to defend the Milky Way galaxy from the Reapers, a species of ancient, sleeping robots.
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The figure shows a graph of the output from an AC voltage source.
What is the maximum voltage Vmax of the source?
What is the average voltage Vavg of the source?
What is the root-mean-square voltage Vrms of the source?
From the graph,
Vmax = 3V
Vavg = 2*Vmax/π = 2*3/π = 1.91 V
Vrms = Vmax/√2 = 3/√2 = 2.121 V
Note: The graph that has been considered for theses calculation, is uploaded as an attachment along with the answer.
The sine wave can achieve a maximum value known as VMax for both negative and positive directions. It is VMax for a positive cycle and (-)VMax for a negative cycle.
The average of the instantaneous voltages selected at correctly spaced intervals during the half - cycles of an AC sinusoidal (or other periodic) waveform is the average voltage. The average value is a representation of the area beneath the AC wave form as a function of time.
A sinusoidal origin of electromotive force is described by its root-mean-square (rms) voltage (Vrms), denoted by Vmax/√2.
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Two points, point 1 and point 2, are located inside a region with an electric field pointing to the left, as shown in the figure. 1 50% Part (a) If a proton is moved from point 1 to point 2, how will the potential energy of the charge-field system change? How will the potential change?
If protons move in the direction of the electric field, the electric potential would change, and it decreases, but if you move opposite the field, the potential energy increases.
If the field is directed from lower potential to higher then the direction is taken to be positive. If the field is directed from higher potential to lower potential then the direction is taken as negative. Potential energy can be converted to kinetic energy and vice versa.
Potential energy is the stored energy in any object or system by virtue of its position or arrangement of parts. However, it isn't affected by the environment outside of the object or system, such as air or height.
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According to Gordon Allport, which type of personality traits are the most dominant?
According to Gordon Allport, the type of personality traits that are the most dominant is the central trait or the basic trait.
What is trait?This refers to a distinctive quality or character of a person. For example curiosity, fair, and dark. etc.
Gordon Allport is a psychologist and personality theorist. He divided personality traits into three categories: cardinal, central, and secondary. According to Allport, the most dominant type of personality trait is the central trait, also called as the "basic trait."
These traits are fundamental to a person's character and shape their overall personalities, such as honesty, kindness, and intelligence. Cardinal traits, on the other hand, are rare and extremely influential traits that shape a person's entire life and behavior, such as religious devotion or political ideology. Secondary traits are less important and more specific, such as being punctual or having a sense of humor.
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The tides are considered an example of shallow-water waves because the tidal bulges have a wavelength that is on the order of __________.
The tides are considered an example of shallow-water waves because the tidal bulges have a wavelength that is on the order of thousands of kilometers.
Which of the aforementioned tide-related claims is true?Complete Response.The tides are caused by the sun and moon's tremendous gravitational pulls on the surface of the planet, which is the right answer.
Which of the following is untrue regarding tides' fundamentals?Response and Justification:Tides are not primarily caused by the gravitational influence of the sun, as is commonly believed.In reality, the Moon's gravitational pull is what mostly causes tides.
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Describe the gestalt principles of proximity similarity continuity and closure
Gestalt principles refer to a set of laws in psychology that describe how people perceive visual information. The four principles you mentioned are:
Proximity: Objects that are close to each other are perceived as being related to each other.
Similarity: Objects that are similar in appearance are perceived as being related to each other.
Continuity: People tend to perceive lines and shapes as continuing in the same direction, even if they are interrupted.
Closure: People tend to perceive incomplete shapes as complete, such as seeing a full circle when presented with a set of dots arranged in a circular pattern.
Who is Gestalt?Gestalt theory reinforces the fact the whole of anything is greater than its parts. That is, the attributes of the whole are not deducible from analysis of the parts in isolation. The word Gestalt is utilized in modern German to imply the way a thing has been “placed,” or “put together.” There is no exact equivalent in English.
These principles help us understand how our brain organizes and interprets visual information, and are often used in design to create clear and effective visual layouts.
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A car drives up a straight hill at a constant speed of 50 kilometers per hour. A truck drives over the crest of the hill at a constant speed of 50 miles per hour. What is the net force on the car and on the truck
As a result, the net pressures on the automobile and truck are zero.
what is pressure ?
If you tried to smash a bowling pin into the wall, nothing would happen except that people would stop lending you bowling pins. If you used the same force to hammer a nail, the nail would be far more likely to pierce the wall. This demonstrates that knowing the quantity of the force isn't always enough: you also need to know how that force is distributed over the impact surface. The nail condensed all of the power between the wall and the nail into a relatively tiny region on the pointed tip of the nail. However, because the area of the bowling pin that touched the wall was significantly bigger, the force was much less focused.
Newton's Second Law states that the net Force acting on an object is given by
MA Fnet = MA
The acceleration is given by the ratio of the change in velocity of an object and the time it takes to change velocity.
(Vf - Vi)/T = a
If the vehicles are driving at constant speeds, their velocity change is zero (0).
If the velocity change is zero, the acceleration is also zero (0).
As a result, Fnet = M(0) = 0.
As a result, the net pressures on the automobile and truck are zero.
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A 64.5 kg astronaut is on a space walk when the tether line to the shuttle breaks. The astronaut is able to throw a 12.0 kg oxygen tank in a direction away from the shuttle with a speed of 14.9 m/s, propelling the astronaut back to the shuttle. Assuming that the astronaut starts from rest, find the final speed of the astronaut after throwing the tank.
The final speed of the astronaut after throwing the oxygen tank can be calculated using the conservation of momentum principle.
This principle states that the total momentum of an isolated system remains constant if no external forces act on the system.The momentum of the oxygen tank is given by the equation.
p_t = m_t*vThe conservation of momentum principle states that the initial momentum of the system is equal to the final momentum of the system.
p_i = p_f
The final momentum of the system is the momentum of the astronaut-tank system after the astronaut throws the tank.
p_f = (m_a + m_t)v_f = (64.5 + 12) * v_f = 76.5 * v_f
So the final momentum of the system is equal to the momentum of the oxygen tank.
p_t = m_tv = 1214.9 = 178.8We can set the two equations equal to each other and solve for v_f
178.8 = 76.5 * v_f
v_f = 178.8 / 76.5
v_f = 2.33 m/s
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At an outdoor phyie demontration, a delay of 0. 50 econd wa oberved between the time ound wave left a loudpeaker and the time thee ound wave reached a tudent through the air. If the air i at STP, how far wa the tudent from the peaker? (1) 1. 5 × 10-m (91. 7 × 102 m (3) 6. 6 × 10? m (4) 1. 5 × 108 m
1.7×10^2 m
The student was 1.7×10^2 m far from the speaker.
Is sound slower to travel in water?The distance that sound waves travel is mostly influenced by the temperature and pressure of the ocean, even though sound travels through water at a far faster rate than it does through air.
What sounds like a sound with a high amplitude?The change in pressure that a sound wave causes when it is measured at a particular location is related to the amplitude of the wave. If the amplitude grows, the sound is heard as louder, and if it drops, it is heard as quieter.
Does greater amplitude equate to greater speed?The pace at which a wave moves has nothing to do with its amplitude. Waves A and B move forward at the same speed. Only changes in the characteristics of the medium a wave travels through can change its speed.
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To calculate the distance between the loudspeaker and the student, we can use the speed of sound in air, which is approximately 340 meters per second (m/s) at standard temperature and pressure (STP).
How is this calculated?The formula to calculate distance is:
distance = speed x time
where distance is the distance between the loudspeaker and the student, speed is the speed of sound in air, and time is the delay that was observed between the time the sound wave left the loudspeaker and the time it reached the student.
distance = 340 m/s x 0.50 s
distance = 170 m
So, the distance between the loudspeaker and the student is 170 meters.
This answer corresponds to (2) 91.7 x 102m.
It's worth mentioning that sound speed can be affected by temperature, humidity, and atmospheric pressure which can cause slight variations from the standard 340 m/s at STP.
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Lenz's Law The magnetic flux through the loop shown in the accompanying figure varies with time according to4Pm milliwebers. What are the direction and magnitude of the current through the 5.00-Ω resistor at (a) t = 0 ; (b) =2.00e-31 sin( 120m), where Pm is '' ' ' t= 2.17×10-2 s, and (c) t=3.00 s? 5.0 Ω
At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow .
(a) At t = 0, the current through the resistor is 0 A.
(b) At t = 2.17×10-2 s, the current through the resistor is -2.2 A. The negative sign indicates that the current is flowing in the opposite direction to the arrow
(c) At t = 3.00 s, the current through the resistor is 0 A.
At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow.At t = 3.00 s, the current through the resistor is 0 A.
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How does dynamic stretching help an individual prepare for an activity brainly?
Dynamic stretching helps to prepare the body for an activity by increasing:
body temperatureimproving range of motionactivating the muscles and nervous system for the activity. also helps to reduce the risk of injury by improving the body's ability to move through a full range of motion.improving coordination and balance.What is dynamic stretching?Dynamic stretching is a form of stretching that involves active, controlled movements such as swinging, bouncing, and twisting. The goal of dynamic stretching is to improve range of motion and flexibility while preparing the body for physical activity.
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For the circuit shown in the figure, what is the current through resistor R1? A) 0.071 A
B) 0.13 A
C) 0.029 A
D) 0.016 A
For the circuit shown in the figure, 0.071 A is the current through resistor R1.
What is circuit ?
Circuit is an electrical network consisting of interconnected components that allow electricity to flow through it. It is used to control, regulate, and direct the flow of electricity in order to perform a specific task. A circuit is composed of wires, resistors, transistors, capacitors, and other components which are connected together in order to form a complete system. This system can be used to control a variety of electrical devices, such as lights, motors, and computers. Circuits can be used to create a wide range of applications, from simple household appliances to complex industrial machines.
The current through R1 can be calculated using Ohm's Law:
I = V/R = (9V)/(120Ω) = 0.075 A
Therefore, the answer is A) 0.071 A.
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A medical defibrillator stores 950 J of energy in a 100uF capacitor.
What is the voltage across the capacitor?
If the capacitor discharges 350J of its stored energy in 3.1ms , what power is delivered during this time?
Power is given at p=1.13 *10^(-5) throughout this period.
An electrical component that can store and release electric energy is a power capacitor. The device comprises of one or more pairs of plates that are connected to two terminals and allow the stored energy to be released into a circuit as needed. The plates are separated from one another by an insulating material (the dielectric). By removing the reactive power from the supply line, a capacitor aids in the improvement of power factor.
This is accomplished through the capacitor's storage of magnetic reversal energy. Power is defined as energy multiplied by the frequency of an operation. (a) Computation needs switching from one voltage (V 1) to another voltage (V 2) before most likely returning to a starting voltage (like V 1).
Power = u/t
p = 350/(3.1*(1/1000))
p= 1.13 *10^(-5)
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The current in a ________
Answer here
circuit is the same at every point?
Answer:
Series.
Explanation:
Current is the same in each device since there is only a single pathway for the charge to flow.
A naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120
kHz and a wavelength of 3 mm. How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m.
and returns to hit the ship's sensor 3 seconds later?
Answer should be in meters
With the use of wave speed and echo formula, the distance is 540 m
What is Echo ?Echo can simply be defined as a reflection of sound wave. Where as, Sound wave is longitudinal wave.
Given that a naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120 kHz and a wavelength of 3 mm.
The wave speed V = Fλ
Where
V = ?F = 120 KHz = 120,000λ = 3 mm = 0.003 mV = 120000 × 0.003
V = 360 m/s
How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m. and returns to hit the ship's sensor 3 seconds later?
Speed V = 2S/t
where
S = distance ?t = time taken = 3 s360 = (2 × S)/3
360 × 3 = 2S
S = 1080/2
S = 540 m
Therefore, the cargo is 540 m away
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