The following are correct statements about the diagram that shows the electric field due to point charge Q:
The electric field is non-uniform.Charge Q is positive.What is electric field?The attraction and repulsion of electrical charges, which is what causes electric flow, create an electric field, which is an invisible force field and is measured in Volts per metre (V/m).
This question requires us to discuss what the electric field due to point charge Q is.
As a result, we can see that the electric field, which serves as the physical field that surrounds electrically-charged particles, has a nonuniform electric field and a positive charge Q.
As a result, in terms of the electric field caused by point charge Q;
The electric field is nonuniform.Charge Q is positive.Learn more about electric field
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Complete question:
The diagram shows the electric field due to point charge Q. Which statements are correct? Check all that apply.
The electric field is nonuniform.The electric field is uniform.Charge Q is negative.Charge Q is positive.If charge A moves toward charge Q, it must be a negative charge.If charge A moves toward charge Q, it must be a positive charge.While Lifting a load of 200m using a lever, an effort of 80N moved through distance of 20 cm to lift the load through a distance of 4 cm.calculate the mechanical advantage
Answer:
4
Explanation:
Velocity Ratio is the distance moved by effort ÷ distance moved by the load which is 20/4 = 5
Effort= Mechanical Advantage/ Velocity Ratio × 100/1
80/100 = x/5
80 × 5 = 100x
400 = 100x
x= 4
a 42-n block is pulled along a horizontal surface by a force of 28-n as shown. what is the normal force on the block?
The normal force of a 42-N block when pulled along a horizontal surface by a force of 28-N is 411.6 N.
How will you calculate it.
The normal force is the force that acts perpendicular to the surface the object is on. In this case, the normal force is equal to the weight of the block, which is equal to the mass of the block multiplied by the acceleration due to gravity.
The weight of the block can be calculated using the formula: weight = mass * gravity
The mass of the block is 42 N, and the acceleration due to gravity is 9.8 m/s^2 (on earth)
So, the weight of the block is 42 N * 9.8 m/s^2 = 411.6 N
Therefore, the normal force of a 42-N block when pulled along a horizontal surface by a force of 28-N is 411.6 N.
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A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400 joules of work is done, how much force must have been applied?
100 N
4000 N
1600 N
800 N
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?
600 J
100 J
72 J
50 J
The work done by using a lever with an effort arm of 12 meters and a load arm of 6 meters is 72 Joules. The force must have applied is 1600 N.
what is the calculation of work done ?The work done (in Joules) = force x distance.In this case, the force is the weight of the box (F = m * g, where m is the mass of the box and g is the acceleration due to gravity) and the distance is the height of 6 meters.Since work done is 600 J,600 J = m * g * 6When a lever is used, the work done is given by the formula:work done = effort distance x effort force = load distance x load forceEffort arm = 12 m, load arm = 6 m, and effort force = load forceSo, effort distance = load distance / (effort arm/load arm) = 6/2 = 3mTherefore, the work done by using lever = 3m x effort force = 3m x load force = 3m x mg = 3mg3 = 72 JAnd now The work done (in Joules) = force x distance.In this case, the force is the weight of the object (F = m * g, where m is the mass of the object) and the distance is the height of 4 meters.Since work done is 400 J,400 J = force * 4And by using the lever, the work done is given by the formula:work done = effort distance x effort force = load distance x load forceEffort arm = 10 m, load arm = 2 m, and effort force = load forceSo, effort distance = load distance / (effort arm/load arm) = 4/5 = 0.8mTherefore, the effort force = work done / effort distance = 400J / 0.8m = 1600 NTo learn more about work done refer:
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a wire with mass 45.0 g is stretched so that its ends are tied down at points a distance 75.0 cm apart. the wire vibrates in its fundamental mode with frequency 64.0 hz and with an amplitude at the antinodes of 0.320 cm. for related problemsolving tips and strategies, you may want to view a video tutor solution of
The wire is stretched and tied down at points 75.0 cm apart, and it vibrates in its fundamental mode with a frequency of 64.0 Hz and an amplitude of 0.320 cm at the anti nodes is 259200.0 g cm/s².
How to calculate wavelength?From this information, we can use the following equations to calculate the wavelength, velocity, and tension of the wire:
Wavelength: λ = 2L/n, where L is the distance between the fixed points and n is the number of anti nodes (in this case, n = 1 for the fundamental mode). Therefore, λ = 2(75.0 cm)/1 = 150.0 cm.
Velocity: v = fλ, where f is the frequency and λ is the wavelength. Therefore, v = 64.0 Hz x 150.0 cm = 9600.0 cm/s.
Tension: T = (mv²)/λ, where m is the mass of the wire and v is the velocity. Therefore, T = (45.0 g x 9600.0 cm/s²)/150.0 cm = 259200.0 g cm/s².
It is important to note that the above calculations are based on the assumption that the wire behaves as a simple harmonic oscillator, meaning that it oscillates with a constant amplitude and frequency.
Additionally, it is also important to note that the tension in the wire is what causes the wire to oscillate, and it is also what allows the wire to transmit sound waves.
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sally and sam are in a spaceship that comes to within 17,000 km of the asteroid ceres. determine the force sally experiences, in n, due to the presence of the asteroid. the mass of the asteroid is 8.7 1020 kg and the mass of sally is 62 kg. for calculation purposes, assume the two objects to be point masses.
The force that Sally experiences due to the presence of the asteroid Ceres is 3.8 x 10⁻⁸ N.
To determine the force Sally experiences due to the presence of the asteroid Ceres, we can use the formula for gravitational force:
F = G x (m₁ x m₂) / r²
where F is the gravitational force, G is the gravitational constant (6.67 x 10⁻¹¹ Nx(m²)/(kg²)), m1 is the mass of Sally, m₂ is the mass of Ceres, and r is the distance between the two masses.Given that:
m₁ = 62 kg (mass of Sally)
m₂ = 8.7 x 10²⁰ kg (mass of Ceres)
r = 17,000 km = 17,000,000 meters
F = (6.67 x 10⁻¹¹ Nx(m²)/(kg²)) x (62 kg x 8.7 x 10²⁰ kg) / (17,000,000 m)²
F = (6.67 x 10⁻¹¹ Nx(m²)/(kg²)) x (62 kg x 8.7 x 10²⁰ kg) / 2,89,000,000,000,000 m²
F = 3.8 x 10⁻⁸ N
So the force that Sally experiences due to the presence of the asteroid Ceres is 3.8 x 10⁻⁸ N.
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PART ONE
A student sits on a rotating stool holding two 5 kg objects. When his arms are extended horizontally, the objects are 0.7 m from the axis of rotation, and he rotates with angular speed of 0.75 rad/sec. The moment of inertia of the student plus the stool is 3 kg m² and is assumed to be constant. The student then pulls the objects horizontally to a radius 0.31 m from the rotation axis.
Calculate the final angular speed of the
student.
Answer in units of rad/s.
PART TWO
Calculate the change in kinetic energy of the system.
Answer in units of J.
Answer:
a) 1.05rad/s
b) 1.38J
Explanation:
if your room is about 5m wide, below what frequency will the single subwoofer be sufficient? the speed of sound in air is about 350m/s. because the cost of standard speakers increases significantly if they must emit lower frequencies, i just saved you a bunch of money on speakers!
Sound travels through air at a speed of around 350 m/s in a room that is about 5 m wide.
What is the straightforward meaning of frequency?Frequency is the number of waves that pass a specific area in a defined amount of time. As a result, the frequency is 2 per second if a wave travels through in half a second. If it takes 1/100 of an hour, the frequency is 100 times per hour.
What is frequency in hertz?Frequency is defined as the rate of changes in current direction per second. It is given in hertz (Hz), an internationally recognized unit of measurement. One cycle per second is equal to one hertz. Cycles per second are represented by the unit hertz (Hz).
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in each case below an arrow has been shot from the top of a building either up at a 45 degree angle straight out horizontally or down at a 45 degree angle all arrow are identiical and are shot at the same speed
The kinetic energy and speed of arrows that have the most potential energy at the beginning are the highest at the end.
As a result, the order is C = F > A = E > B = D.
Potential energy is stored energy that is affected by the relative location of various components in a system. When a spring is squeezed or extended, its potential energy increases. A steel ball has higher potential energy when lifted above ground than when it falls to Earth. It can do more work in the elevated position. Potential energy is a property of a system, not an individual substance or particle; for example, the system made of Earth and the elevated ball has greater potential energy as the two are separated.
Potential energy is created in systems having pieces that exert forces on each other with varying magnitudes depending on the arrangement.
Correct question is:
Attached as a image with diagram
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If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion?
A) It Doules
B) It becomes √(2) times as large.
C) It become half as large D) It becomes 1√(2) times as large.
E) It remains same.
If a simple pendulum oscillates with small amplitude and its length is doubled, the frequency of its motion remains same.
Explain the function of simple pendulum oscillation?A simple pendulum is a mass suspended from a fixed point and allowed to swing freely under the influence of gravity. The motion of the pendulum is an example of periodic motion, meaning that the motion is repeated over and over again. This motion is called oscillation.When the pendulum is displaced from its equilibrium position, the restoring force of gravity will cause it to swing back and forth. As the pendulum swings, potential energy is converted to kinetic energy and back again, resulting in oscillations. The time it takes for the pendulum to complete one full swing is known as the period of oscillation.The period of a simple pendulum is determined by its length, the acceleration due to gravity, and the angle of displacement. As the length increases, the period increases, and as the angle of displacement increases, the period decreases.The oscillation of a simple pendulum is an example of a harmonic motion. That is, the displacement of the pendulum is proportional to the force applied to it. This means that a small force can cause a large displacement, resulting in a large oscillation.To learn more about simple pendulum refer to:
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A 63-kg snowboarder travels down a ramp inclined at an angle of 35∘ below the horizontal.
Part A
If the force of gravity does 2.0×10^4 J of work on her during her descent, over what distance does she travel down the ramp?
Express your answer with the appropriate units.
If she descends whereas the gravity force exerts 2.0 104 J of effort on her, the combined work is 4000 J (the summation of the two components). 5. The block is subject to a 50 N force acting at an angle.
How many different gravitational forces exist?dual forces The resultant velocity that combines two forces produces the gravitational force on Earth. Newton's fundamental principle of gravitation's gravitational pull, as well as the centrifugal force that occurs from choosing an earthbound, rotating reference frame.
What does one kgf equal?The kilogram-force is equivalent to a mass between one kilogram times the Earth's standard gravitational acceleration, which equals 9.80665 meters per second.
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which of the following is an example of potential energy transformed into kinetic energy? compressing a spring lifting a book above your head riding a bike to the top of a hill setting a mouse trap a mouse tripping a mouse trap next
A mouse stepping into a mouse trap Here is an illustration of potential energy becoming kinetic energy:
In plain English, what is kinetic energy?The known as kinetic, or kinetic energy, can be seen in the movement of an item or subatomic particle. Kinetic energy is present in every object moving and particle. Kinetic energy is present when something moves, such as a guy walking, a baseball soaring through the air, a piece of food dropping from a table, or a charged particles in such an electric field.
What makes kinetic energy so special?As we've already seen, kinetic energy rises when weight and/or speed rise, and KE doesn't change unless an object accelerates or decelerates. Translation and rotation kinetic energy are the two primary subtypes of kinetic energy.
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What is the percentage decrease in the weight of a body when it is taken 32 km below the surface of the earth? [Radius of the earth=6400km]
The percentage decrease in the weight of a body when it is taken 32 km below the surface of the earth=0.5%
Here d= 32 km R= 6400 km
Body weight at depth d is mg'
W=mg(1-d/R)%
decrease in weight =[tex]\frac{(mg-mg^{1} )}{mg} \times100[/tex] = [tex]\frac{32}{6400} \times100[/tex]=0.5%
The gravitational force that pulls on an object is referred to as its weight in physics and engineering.
Many widely used textbooks refer to the gravitational force exerted on an item as its "weight." Weight is frequently described as a scalar quantity that measures the gravitational force's strength. Others define it as the potency of the forces at action in mechanisms designed to counteract the effects of gravity on a body. A spring scale, for instance, measures weight. As a result, during free fall, there would be no weight. In this sense, nothing terrestrial can have any weight.
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PLS HELP 1. Analyze Image A. What do you notice about the temperature (energy) of our planet over the last 500 million years? What role do these changes in energy (temperature) play in the climate changes you learned about in Mission 1: Ellesmere Island?
2. Analyzing Image A. Consider the concepts learned in the 1/24/22 CC and the data gathered during the simulation. What evidence (proof) is there that humans are causing Earth’s drastic spike in temperature affecting our climate and biomes rather than the Earth following its normal cycle? (NOTE: You must specifically state proof from the CC AND the simulation to support your point of view)
The answers include the following:
The role these changes in energy (temperature) play in the climate changes is that it leads to a rising sea level and unpredictable weather patterns.The evidence there that humans are causing Earth’s drastic spike in temperature affecting our climate and biomes rather than the Earth following its normal cycle is as a result of the increase in the emission of greenhouse gases causing it.What is Climate change?This is referred to as long-term shifts in temperatures and weather patterns and is caused by factors.
They include the emission of greenhouse gases such as carbon dioxide due to burning of fossil fuel which is associated with technological advances.
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Are bricks good conductors of heat
Answer:
A good brick should have a low thermal conductivity, allowing the house to be cool in the summer and warm in the winter. Hence, bricks are not good conductors of heat.
Explanation:
The diagram shows four pairs of large parallel conducting plates. The value of the electric potential is given for each plate. Rank the pairs according to the magnitude of the electric field between the plates, least to greatest
The magnitude of the electric field between the plates, from least to greatest is shown by option C.
What is the ranking?We know that when two plates that are conducting are arranged in such a way that a gap is left in between them, the we have a capacitor. The electric potential of the capacitor would have a lot to do with the distance of the separation of the plates.
As such, the closer the plates are together, the greater the electric potential of the plates and the more the plates are apart, the lesser the electric potential of the plates.
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Based on the Potential Energy vs Position graph, which of the points are:a) in stable equilibriumb) in unstable equilibriumc) in neutral equilibriumd) not in equilibriume) turning points
a) Points "B" and "E" are in stable equilibrium.
b) In this curve , points A and C are in unstable equilibrium.
c) There is no point which in neutral equilibrium.
What is equilibrium?When a system is in equilibrium, neither its internal energy state nor its state of motion tend to change over time. A simple mechanical body is said to be in equilibrium if it neither experiences linear acceleration nor angular acceleration; unless it is disturbed by an external force, it will remain in that state indefinitely. If all of the forces acting on a single particle are vector summated to zero, equilibrium results.
a)
Stable equilibrium point is surrounded by points of higher potential energy.
Points "B" and "E" are in stable equilibrium.
b)
Unstable equilibrium point is surrounded by points of lower potential energy.
In this curve , points A and C are in unstable equilibrium.
c)
Neutral Equilibrium Point : This point is surrounded by points of same potential energy.
There is no point which in neutral equilibrium.
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Complete question:
using the work-energy theorem, show why a car moving at 20 m/s has four times the that of the same car moving at 10 m/s when starting from rest and with the same force to start moving
The work done is four times greater when the car is moving at 20 m/s than when it is moving at 10 m/s.
What is the proof of the work-energy theorem?According to the work-energy theorem, the work generated by the net force applied on a body equals the change in kinetic energy. W = kf - ki is the simplest way to express it. The work-energy theorem equation is the one presented above. Net work done W turns negative if the body's kinetic energy diminishes.
How can we determine this?Kinetic energy:
KE = 1/2 * m * v^2
where m is the mass of the car and v is the velocity,
KE at 10 m/s = 1/2 * m * 10^2 = 1/2 * m * 100
KE at 20 m/s = 1/2 * m * 20^2 = 1/2 * m* 400
work done
Work (w) = KE_f - KE_i
KE_f = final kinetic energy
KE_i = initial kinetic energy
Work = KE at 20 m/s - KE at 0 m/s
Work = 1/2 * m * 400 - 1/2 * m * 0
Work = 1/2 * m * 400
Hence, a car moving at 20 m/s has four times the that of the same car moving at 10 m/s when starting from rest.
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the spring has a spring constant of k. at what value x of teh compression, does the object reach maximum speed
The object does not reach maximum speed at any particular value of x. The speed of the object depends on the magnitude of the applied force and the rate at which the force is applied.
What is the maximum speed of the object when it is compressed to a distance x? The maximum speed of an object when it is compressed to a distance x depends on the type of force that is applied to it. Generally, the maximum speed of an object is determined by the net force applied to it. If the net force is zero, then the object will not move. However, if a net force is applied, then the object will accelerate. The maximum speed of the object is determined by the magnitude of the net force and the object's mass. The acceleration of the object is determined by the net force divided by the mass of the object. If a large force is applied to the object, then the acceleration will be high and the maximum speed of the object will be high. On the other hand, if a small force is applied, then the acceleration will be small and the maximum speed of the object will be low. Therefore, the maximum speed of an object when it is compressed to a distance x depends on the magnitude of the force applied to it.To learn more about compression refer to:
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A truck moving at 8.33 m/s accelerates at a constant rate of 42.0 m/s2 for 5.60 seconds. The truck has a final velocity of (2 points)
226 m/s
234 m/s
244 m/s
245 m/s
261 m/s
Please be 100% sure
Answer:244 m/s
Explanation: Vf= Vi+a.t
Vf= 8.33+(42 x 5.6)
Vf=243.53 m/s
In steady flow, the velocity of a fluid particle at any point is constant in time. On the other hand, the fluid in a pipe accelerates when it moves from a larger-diameter section of the pipe into a smaller-diameter section, so the velocity is increasing during the transition. The condition of steady flow rules out such an acceleration, O True O False
If each passing fluid particle's velocity is constant at any given position, the flow of fluid is said to be steady.
Can a fluid particle speed up during a constant flow?Even in a constant flow, the convective acceleration might be non-zero! In other words, a fluid particle is still accelerated from one site to another even when the velocity field is not a function of time (i.e., a continuous flow).
Does steady flow have a constant velocity?A steady flow implies that a fixed point has a constant fluid particle velocity. This implies that each particle going through that place will do so at the same speed, regardless of how quickly it does so.
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Part B In order to find the value of the horizontal position of the pumpkin for which its height is a maximum, we need to seek values of xm for which: > View Available Hint(s) y(x) = axm^2 +b = 0
dy/dx = 2axm+b 272+b=0 200+ has its minimum value, which must be determined by obtaining d^2y/dx^2
dx/dy = 2axm + b = 0
dy/dx = 2axm +b = ymax, which will be determined in the next step of the analysis Part C Use the result from Part B to evaluate the value of horizontal position of the pumpkin trajectory, xm, at which the slope of y(x) is 0. Express your answer with the appropriate units. xm = 63 m
The value of the horizontal position of the pumpkin is 62.5.
What is the value of the horizontal position of the pumpkin?Its height is a maximum, we need to seek values of xm for which: > View Available Hint(s) y(x) = axm^2 +b = 0
dy/dx = 2axm+b 272+b=0 200+
The pumpkin's highest height is reached 62.5 horizontal meters from the point of launch.
The computation looks like this:
The equation, which corresponds to a parabola-shaped curve, is y = - 0.008x 2 + x.
Now that the arms of this parabola are pointing downward, we may calculate its maximum by demanding that the derivative slope of the tangent line to the curve be equal to zero.
The result is that u prime = -0.016x + 1 0 = -0.016x + 1 x = 1 / d * iv * 0.016 = 62.5m.
The value of the horizontal position of the pumpkin is 62.5.
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Consider the following state vectors: a) Normalize each state vector. b) For each state vector, calculate the probability that the spin component is up or down along each of the three Cartesian axes. Use bra-ket notation for the entire calculation. c) Write each normalized state in matrix notation. d) Repeat part (b) using matrix notation for the entire calculation.
We have used the state-vector notation established with in Representing Qubit Environments section to express the state of our qubits throughout the bulk of Qiskit textbook.
A Qubit sector is what is it?A qubit quantum bit is the fundamental building block containing information in quantum computing, much as a binary bit is in regular traditional computing. New discoveries in health, economics, environmental systems, advanced materials, and other fields are being sparked by quantum computing.
A Qiskit testbook: what is it?With Qiskit, users may conduct experiments at home using cutting-edge quantum devices. That experimental quantum theory that underpins quantum computing is also taught in the textbook. It offers resources for developing, modifying, and executing quantum applications on
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20. Two resistances, one 62 and the other 88
are connected in parallel. The resistors are then
connected to a 12-V battery.
a. What is the equivalent resistance of the
parallel combination?
b. What is the current through each resistor?
from the following properties, select the properties that are not classified as an intensive property. (check all that apply.)
Temperature, density, color, electric current, heating value, as well as other characteristics are all intense attributes since they are unaffected by changes in the size or quantity of the substance.
What intense property examples are there?A property of that is intensive depends solely on the type of matter in a sample and not on the quantity. Examples of intense qualities include color, temperature, and solubility.
Which of the aforementioned traits are intense traits?intense qualities. The rate of electron passage in a conductor is known as electric current. Intensive qualities are those that exist regardless of the quantity of a substance or substances in the system.
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For the system that only includes the object, which of the following claims best describes what happens to the mechanical energy of the system while the object is moving from the bottom of the ramp to the top of the ramp? The mechanical energy of the object increases because the gravitational potential energy increases as the object moves up the ramp. The mechanical energy of the object decreases because the force due to gravity from Earth does negative work on the object as it moves up the ramp. The mechanical energy of the object is constant because the kinetic energy of the object is constant.A determination of the change of the mechanical energy of the object cannot be made without knowing the power of the motor that is used to move the conveyor belt.
Mechanical energy (kinetic energy or potential energy) is the energy of either an object in motion or the energy that is stored in objects by their position.
Mechanical energy is also a driver of renewable energy. Many forms of renewable energy rely on mechanical energy to adequately produce power or convert energy. Mechanical energy is the sum of kinetic energy and potential energy in an object that is used to do a particular work.
In other words, it describes the energy of an object because of its motion or position, or both. Mechanical energy is the energy a body has due to its movement or position. A good example would be the energy that is released while falling from a certain position.
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while the object is moving from the bottom of the ramp to the top of the ramp, the mechanical energy of the object increases because the gravitational potential energy increases as the object moves up the ramp.
Mechanical energy is the energy a body has as a function of motion or position. A excellent example is the energy that is released when one falls from a certain position. Mechanical energy is one of the essentials studied in mechanical engineering because it is the literal driving power of the world around us, whether it be natural or man-made. Mechanical energy is quantified in joules.
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An immersion heater must increase the temperature of 1.50 kg of water from 10.0°C to 50.0 °C in 10.0 minutes while operating at I 10V. If the specific heat capacity of water is 4186 J/kg/°C, calculate the required. resistance of the heater.
The required resistance of the heater would be 0.0039 ohms.
What is power?Power is a measure of the rate at which energy is transferred. It is commonly measured in watts (W) or kilowatts (kW). Power is the product of voltage (measured in volts) and current (measured in amperes) and can be calculated using the formula:
Power (P) = Voltage (V) x Current (I)
It can also be calculated by multiplying the work done per unit time.
For example, a lightbulb with a power rating of 100 watts consumes energy at a rate of 100 joules per second. If it is turned on for 10 seconds, it will have consumed 1000 joules of energy.
The amount of energy required to increase the temperature of 1.50 kg of water from 10.0°C to 50.0°C is:
(50.0 - 10.0) * 4186 J/kg/°C = 307600 J
The power of the heater is given by:
energy / time = 307600 J / (10.0 minutes * 60 seconds/minute) = 5127.67 W
To calculate the resistance, we can use the formula:
Power = Voltage² / Resistance
Therefore,
Resistance = Voltage² / Power
Resistance = (10 V) ² / 5127.67 W = 0.0039 ohms.
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if distance =1000 cm and speed =40 cm/s, what is time (t)?
Answer:
25 seconds
Explanation:
Answer:
t = distance ÷ speed
t = 1000 cm ÷ 40 cm/s
t = 25 s
So it would take 25 seconds to cover a distance of 1000 cm at a speed of 40 cm/s. It's important to note that the units of distance and speed must be the same in order for the calculation to be correct. Also, this is a basic equation which is based on the distance-time-speed relationship. This equation can be used for various other calculations and can be helpful in determining the time required to reach a certain distance at a certain speed.
determine the greatest velocity obtained by this object (consider magnitude only in determining 'greatness'). (if negative, then enter a negative answer.))
The vector quantity velocity (v), denoted by the expression v = s/t, quantifies displacement (or motion, s), over change in time (t).
What is negative speed?Negative Velocity: If an object's position is shifting negatively as time passes, it has negative velocity. The airspeed is negative when any graph of displacement against time has a negative slope.
Why do velocity measurements range from positive to negative?Depending on the co - ordinate system used to define the position, the velocity's sign can change. A positive velocity merely indicates that a moving object is moving throughout the coordinate system's positive direction, whereas a negative velocity denotes that the item is going in the opposite direction.
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a 2kg object is moving in along the x-axis under a single conservative force. when the object is at position x?
The particle comes to rest before reaching the position x=4m.
What is the direction of F(x) at this position?The connection between the potential energy function U(x) and the conservative force F(x) is given by Eq.:F(x)=−dU/dx.
A positive slope of U(x) at a point means that F(x) is negative, and vice versa.
The force at x=2.0m is
[tex]$\mathrm{F}=-\frac{\mathrm{dU}}{\mathrm{dx}} \approx-\frac{\Delta \mathrm{U}}{\Delta \mathrm{x}}=-\frac{\mathrm{U}(\mathrm{x}=4 \mathrm{~m})-\mathrm{U}(\mathrm{x}=1 \mathrm{~m})}{4.0 \mathrm{~m}-1.0 \mathrm{~m}}$[/tex]
[tex]$=-\frac{-(17.5 \mathrm{~J})-(-2.8 \mathrm{~J})}{4.0 \mathrm{~m}-1.0 \mathrm{~m}}=4.9 \mathrm{~N}$[/tex]
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The figure shows four identical conducting spheres that are actually well separated from one another. Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial charge of -28e) and then they are separated. Finally, sphere W is touched to sphere C (with an initial charge of 44e), and then they are separated. The final charge on sphere W is 22e. What multiple of e gives the initial charge on sphere A?
The initial charge on sphere A before it touches sphere W is 56e
Let the initial charges on sphere A be considered as Ae
Since sphere W has an initial charge of 0, when it touches sphere A, the charge in sphere A divides to become (1/2)Ae.
Sphere B has an initial charge of -28e
On contact with sphere W, which now has a charge of (1/2)Ae, the charge on W becomes,
1/2( (Ae/2) – 28e)
Sphere C has an initial charge of 44e
On contact with sphere C, sphere W, which already has a charge of 1/2( (Ae/2) – 28e), gets a charge of
1/2[1/2(( (Ae/2) – 28e) + 44e)]
Now, the final charge on sphere W after collision with spheres A, B and C is given as 22e
Therefore, 1/2[1/2(( (Ae/2) – 28e) + 44e)] = 22e
1/2[(Ae/4 – 14e) +44e] = 22e
Ae/8 – 7e + 22e = 22e
Ae/8 = 22e – 22e + 7e
Ae/8 = 7e
Therefore Ae = 56e
The initial charge on sphere A was found out to be 56e
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