The speed of the pulse is 173.2 m/s.
What is the speed of the pulse?We have to note that the speed of the pulse would depend on the mass of the spring and also on the density of the pulse. In this case, we can see that a string with a linear mass density of = 0.0090 kg/m is tied to the ceiling. A 27 kg mass is tied to the free end of the string.
We have that;
v = √ M/d
v = velocity
M = mas of the spring
d = density of the spring
v = √ 27 Kg/0.0090 kg/m
V = 173.2 m/s
Thus the pulse would have a speed of 173.2 m/s.
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Why would the weight of a landing module be different on different planets?(1 point)
Responses
a. The landing module’s mass is different on different planets.
b. Planets have different diameters
c. Gravitational force is different on different planets.
d. Planets are different distances from the Sun.
The weights of the objects are different because Gravitational force is different on different planets. Option C
What is the acceleration due to gravity?We have to note that the acceleration due to gravity is what tell us the extent of the gravitational pull that is on a planet. The value of the acceleration due to gravity is not the same in all the planet.
This implies that the magnitude of the gravitational force in all the planets that we know can not be the same and as such the masses of the objects in the various planets would not be the same.
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A particle of mass m is travelling along the x-axis such that at t = 0 it is located at x=0 and has a speed Vo. The particle is acted upon by a force which opposes the motion and as
a magnitude proportional to the square of the instantaneous speed find: speed , position, acceleration at any time t=0
The speed, position and acceleration are V₀ x e⁽⁰⁾, V₀ x 0 + (V₀/k) x (1 - e⁽⁻⁰⁾) = 0 and -k(V₀²)/m respectively.
How to find speed, position and acceleration?The particle's motion can be described by Newton's second law, which states that the net force acting on an object is equal to its mass times acceleration. If the force acting on the particle is proportional to the square of its speed, then it can be modeled as F = -kv², where k is a constant of proportionality.
At time t = 0, the particle is located at x = 0 and has a speed Vo. The acceleration can be found from Newton's second law as follows:
a = F/m = -kv²/m = -k(V₀²)/m
The velocity of the particle at any time t can be found by integrating the acceleration:
v(t) = V₀ + ∫a(t) dt = V₀ - (k/m) x ∫(V₀²) x e^(-kt) dt = V₀ x e^(-kt)
The position of the particle at any time t can be found by integrating the velocity:
x(t) = ∫v(t) dt = V₀ x t + (V₀/k) x (1 - e^(-kt))
So, the speed, position, and acceleration of the particle at t = 0 are as follows:
Speed: v(0) = V₀ x e⁽⁰⁾ = Vo
Position: x(0) = V₀ x 0 + (V₀/k) x (1 - e⁽⁻⁰⁾) = 0
Acceleration: a(0) = -k(V₀²)/m = -k(V₀²)/m.
Note: The actual values for the speed, position, and acceleration of the particle at any time t will depend on the specific values of the mass m, the initial speed V₀, and the constant of proportionality k.
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The picture to the right represents the effect of tension on the
earth's crust. Faults and rift valleys are the result of movement in
the crust. What type of force causes these movements in the
plates?
a. Balanced forces
b. Unbalanced forces
c. Inertia
d. Friction
The type of force that causes these movements in the plates is unbalanced forces.
option B.
What is unbalanced force?When the resultant force acting on a body is not equal to zero, the forces acting on the body are known as unbalanced forces.
The unbalanced force between the upper plates and lower plates of Earth creates movement within the earth crust.
Thus, the faults and rift valleys are the result of movement in the crust, caused by the unbalanced forces or unequal forces that exist between the upper plates and the lower plates of the Earth's crust.
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scientists often calculate how likely the outcome of their experiments may be due to chance. if this is less than 5%, then the results may be considered reliable.
Yes, it is correct. The results may be considered reliable if the chance of an outcome due to chance is less than 5%.
What do you mean by experiments?
Experiment is a method of testing a hypothesis or theory by observing the results of an action under controlled conditions. Experiments help scientists to learn how certain variables interact and influence one another, and can be used to test theories and develop new ideas.
However, it is important to note that there are other factors to consider when assessing the reliability of results, such as the accuracy of the measurements and the quality of the data.
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you throw a ball vertically up from the roof ledge of an apartment building with an initial speed of 10 m/s. the ball travels upward, stops (why?), travels downward and continues past the roof all the way to the ground. (note: you may approximate the gravitational acceleration as 10 m/s/s.)
When we through a ball vertically upwards from the roof ledge of an apartment building, the ball stops due to the acceleration due to gravity acting downwards on the ball.
The ball travels upward with an initial speed of 10 m/s, slows down due to the force of gravity (approximated as 10 m/s²), and eventually reaches its maximum height when its upward velocity becomes zero. At this point, the ball stops and is in a state of free fall.
After stopping, the ball then begins to travel downward due to the force of gravity, increasing its downward velocity, past the roof and falls to the ground.
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How would I explain a example for energy?
Energy- the ability to do work. Energy is measured in joules (j)
You could explain a example for energy by using Fire which could be thermal energy, chemical energy, and radiant energy and it can get its source from either renewable (wood) or non-renewable (coal).
How can eneregy be explained?Energy is typically defined as the capacity to perform work. In other words, energy exists in everything that can perform labor. Working with energy also refers to causing or bringing about change. Every time work is done, energy is either changed or transmitted.
Thermal, chemical, and radiative energies all combine to form fire. Its source could be non-renewable (like wood) or renewable (coal). How to charge a phone's battery Electrical energy, chemical energy (for the battery), kinetic energy, and potential energy are all involved in charging a phone.
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A student does an experiment to measure the electrical resistance of a piece of material. The resistance is found to be equal to 236092. The student's lab partner then measures the electrical resistance of the same material and gets a value of 251092 for the electrical resistance. What is the percent difference between these two
The percent difference between the two measurements is 61.9%.
The absolute value of change is divided by the average of the values to generate the percent difference formula, which is then multiplied by 100.
The ratio of the difference between two values to their average, represented as a percentage, is what is referred to as the percentage difference.
The difference between two amounts of the same sort can be expressed in this fashion.
It is determined by applying the following equation: |Difference/Average| × 100%.
To calculate the percent difference between the two measurements, you can use the formula:
Percent difference = (|measurement 1 - measurement 2| / ((measurement 1 + measurement 2) / 2)) * 100
Plugging in the values from the experiment:
Percent difference = (|236092 - 251092| / ((236092 + 251092) / 2)) * 100
= (150,000 / 243,092) * 100
= 61.9%.
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You want to test if a new diet medicine helps dogs lose weight. What would be your independent variable?
A) equal amounts of water
B) How much weight is lost
c) the dog
D) The new medicine
After throwing the ball in the air, it eventually converted the gained gravitational PE back into kinetic energy as it fell back down. What happened to that kinetic energy when the ball comes to a halt when it hits the table? Select all that apply: a. The energy was converted into thermal kinetic energy (it heated up the ball and table surface during the impact slightly)b. The energy was converted into chemical potential energy. c. The energy was lost d. The energy was converted into sound (kinetic energy associated with vibrations of air molecules)
As there is no evidence to suggest that the energy was converted into chemical potential energy.
Hence, except (b) all are true.
After the ball reaches its maximum height and starts falling back down, the gained gravitational potential energy is converted back into kinetic energy.
When the ball comes to a halt after hitting the table, the following happens to the kinetic energy:
a. The energy was converted into thermal kinetic energy (it heated up the ball and table surface during the impact slightly).
c. The energy was lost (to the surroundings in the form of heat, sound, and deformation of the ball and table surface).
d. The energy was converted into sound (kinetic energy associated with vibrations of air molecules).
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A stone of mass 4.0kg is pulled along a horizontal path by a rope which makes an angle of 30 with the horizontal. Neglecting friction, calculate the tension in the rope if the body accelerates uniformly at 2m/s2
Answer:
9.24 N
Explanation:
The force accelerating the 4 kg body is the horizontal force = T cos 30
F= ma so:
T cos 30 = 4 kg ( 2 m/s^2)
T = 8 / cos (30) = 9.24 N
a platinum resistance thermometer has a resistance of 400 at 0 degrees Celsius and 1,200 at hundred degree celsius assuming that the resistance changes uniformly with temperature calculate the resistance of the thermometer when the temperature is 45 degrees Celsius. I need this ASAP! .Ps I'll mark brainliest
Answer:
Explanation:
I will make a solution in a page and upload
Which equation can you use to calculate the mechanical advantage of a simple machine
Answer:
MA=Fo/Fi
Explanation:
a roller coaster cart starts from rest and accelerates, due to gravity, down a track. the cart starts at a height that enables it to complete a loop in the track the magnitude of the centripetal force keeping the cart in circular motion would be greatest at point
A roller coaster cart starts from rest and accelerates, due to gravity, down a track. the cart starts at a height that enables it to complete a loop in the track the magnitude of the centripetal force keeping the cart in circular motion would be greatest at point
The magnitude of the centripetal force keeping a roller coaster cart in circular motion is given by the equation F = mv^2/r, where m is the mass of the cart, v is its velocity, and r is the radius of the circle it is moving in. At the point where the magnitude of the centripetal force is greatest, the velocity of the cart is highest and the radius of the circle is smallest. This point is typically at the bottom of the loop, where the track is closest to the ground and the velocity is greatest. Hence, the magnitude of the centripetal force keeping the roller coaster cart in circular motion would be greatest at the bottom of the loop.
What the Meanning of Circular Motion?Circular motion is a movement of an object along the circumference of a circleor rotation along a circular path. It can be uniform, with constant angular rate of rotation and constant speed, or non-uniform with a changing rate of rotation.
Examples of circular motion include: an artificial satellite orbiting the Earth at a constant height, a ceiling fan's blades rotating around a hub, a stone which is tied to a rope and is being swung in circles, a car turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field, and a gear turning inside a mechanism.
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Calculate the kinetic energy of an object of mass 10kg when it is moving with a velocity 2ms-1
The kinetic energy of an object of mass 10kg when it is moving with a velocity 2ms-¹ is 20J.
How to calculate kinetic energy?Kinetic energy in physics refers to the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.
It can be calculated using the following formula;
K.E = ½mv²
Where;
m = massv = velocityAccording to this question, an object of mass 10kg is moving with a velocity 2ms-¹. The kinetic energy can be calculated as follows:
K.E = ½ × 10 × 2²
K.E = 20J
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The kinetic energy of the object of mass 10 Kg moving with a velocity 2 ms¯¹ of is 20 J
How do I determine the kinetic energy of the object?Kinetic energy of an object is simply defined as the energy of the object in motion. Mathematically, it can be written as:
KE = ½mv²
Where
KE is the kinetic energy of the objectm is the mass of the objectv is the velocity of the objectUsing the above formula, we shall determine the kinetic energy of the object. Details below:
Mass of object (m) = 10 KgVelocity of object (v) = 2 ms¯¹Kinetic energy of object (KE) =?KE = ½mv²
KE = ½ × 10 × 2²
KE = 5 × 4
KE = 20 J
Thus, we can conclude from the above calculation that the kinetic energy is 20 J
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In order to understand the impact of climate change, a scientist collected measurements of average yearly sea surface temperatures from 1880 to 2012. His data is graphed below. What scientific question could be most accurately investigated based on the data collected by this scientist?
How did volcanic activity change with average sea surface temperatures?
How did melting arctic sea ice change average sea surface temperatures?
How did average sea surface temperatures change with increased aquaculture?
How did average sea surface temperatures change with time?
Based on the given graph, the most accurate scientific question investigated is: How did average sea surface temperatures change with time?
As greenhouse gases capture more solar energy, the oceans absorb more heat, resulting in higher sea surface temperatures and rising sea level.
Changes in ocean temperatures and currents caused by climate change will cause changes in global climate patterns. Warmer waters, for example, may stimulate the development of stronger storms in the tropics, causing property damage and loss of life. The consequences of rising sea levels and higher storm surges are especially significant to coastal populations.
During the twentieth century, global ocean surface temperatures rose. Even with some year-to-year variance, the overall increase is obvious, and sea surface temperatures have consistently been higher over the last three decades than at any previous period since reliable monitoring began in the late 1800s.
In the given graph, the x-axis is time in years while the y-axis is the change in sea surface temperature over the years. Hence, the correct question is: how did average sea surface temperatures change with time?
The graph in your question was missing, most likely it was like on the attached picture.
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Two eagles fly directly toward one another, the first at 15.0 m/s and the second at 15.2 m/s. Both screech, the first emitting a frequency of 3643 Hz and the other one of 3800 Hz. What frequencies do they receive if the speed of sound is 330 m/s?
4.23kHz is the frequencies do they receive if the speed of sound is 330 m/s when Two eagles fly directly toward one another, the first at 15.0 m/s and the second at 15.2 m/s. when Both starts screech, the first emitting a frequency of 3643 Hz and the other one of 3800 Hz.
What is frequency ?A recurring event's frequency is measured by how many times it occurs in a unit of time. For clarity, it is sometimes referred to as temporal frequency and is distinct from angular frequency. One occurrence per second, or hertz (Hz), is the unit of frequency.
Given:
V1=15.0m/s
v2=15.2m/s
f1=3643 Hz
f2= 3800 Hz
Now to find the frequencies do they receive if the speed of sound is 330 m/s.
we will apply the following equation:
f'2=[(V1+v2)/v-v2]f2
putting the values:
f'2=[(15.0m/s+15.2m/s)/330 m/s-15.2m/s]3800 Hz
on solving the above we get
f'2=4.23kHz
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A positive feedback loop is a physiological process designed to push the body beyond a physiological level to a determined endpoint. O True O False
The given statement about “A positive feedback loop is a physiological process designed to push the body beyond a physiological level to a determined endpoint” is true because during positive feedback, a physiological system encourages the change.
A positive feedback loop in a human-related system is described as a system responding in such a way that an idea or action has a positive influence on the idea or action that sparked the loop in the first place. In natural systems, the presence of a positive feedback loop can magnify or exaggerate the consequences of a very modest disruption or change, which then become mutually reinforcing and cause the system to react. This is in contrast to a system having a negative feedback loop, in which the change or disturbance is mitigated or self-corrected as the system returns to its original equilibrium rather than responding exponentially.
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Which of the following best explains the pattern in no concentration? no is a secondary pollutant with a long residence time in the atmosphere. no is produced by rush-hour traffic and is quickly oxidized in the atmosphere. no does not play a significant role in smog formation. no is formed in the lower atmosphere in the morning by the rising sun
The answer choice that best explains the pattern in no concentration is "no is produced by rush-hour traffic and is quickly oxidized in the atmosphere."
What is NO?NO (Nitrogen Oxide) is a secondary pollutant which means it is not directly emitted into the atmosphere but is produced as a result of chemical reactions involving primary pollutants (e.g. emissions from vehicles).
NO is primarily produced by the combustion of fossil fuels, particularly during rush-hour traffic. It has a short lifespan in the atmosphere due to its quick oxidation into other pollutants, such as nitrogen dioxide.
It does not play a significant role in smog formation and is not specifically formed in the lower atmosphere by the rising sun.
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two coherent sources of light of equal strength produce near parallel beams that intersect at a point p. compared to the intensity from just one of the sources, the intensity of the light due to both sources at point p will be select all that apply 1. four times that of a single source. 2. not enough information given. 3. twice that of a single source. 4. in a range from zero to four times that of a single source. 5. in a range from zero to two times that of a single source. I thought the intensity will be twice that of a single point due to the superposition principle. But, apparently I am wrong.
The intensity of the light due to both sources at point P will be four times that of a single source.
According to the superposition principle, the total intensity of light at a point is equal to the sum of the intensities due to each individual source. Since the two sources are of equal strength, the intensity of the combined light at point P will be twice that of a single source.
However, the light from each source will interfere with each other, resulting in constructive and destructive interference. As two beams are coherent, meaning they have the same frequency and phase, the light waves will add together constructively at certain points, increasing the intensity. So, at point P, the intensity of the light due to both sources will be four times that of a single source.
Hence option 1 is correct.
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Complete the following statement: different types of collisions between interacting bodies are CATEGORIZED on the basis of a) kinetic energy conservation b) mechanical energy conservation c) linear momentum conservation a) kinetic energy conservation
Correct! Different types of collisions between interacting bodies are categorized on the basis of kinetic energy conservation.
There are three types of collisions depending on whether kinetic energy is conserved or not: elastic collisions, inelastic collisions, and completely inelastic collisions.
Different types of collisions between interacting bodies can be categorized on the basis of kinetic energy conservation. Elastic collisions occur when kinetic energy is conserved, inelastic collisions occur when kinetic energy is not conserved, and completely inelastic collisions occur when kinetic energy is completely transferred to other forms of energy such as heat or sound.
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(a) The sketch shows a painter's scaffold in mechanical equilibrium. The person in the middle weighs 500 N, and the tensions in each rope are 400 N. What is the weight of the scaffold? (b) A different scaffold that weighs 400 N supports two painters, one 500 N and the other 400 N.
The reading in the left scale is 800 N. What is the reading in the right-hand scale?
The correct answer is for a. 100 N is the weight of the scaffold while in equilibrium and b. The reading in the right-hand scale is 500 N.
What is Equilibrium?
Equilibrium, in physics, the condition of a system when neither its state of motion nor its internal energy state tends to change with time.
a. As per equilibrium 500 N = 400 N + x N
x N = 500 - 400 = 100 N
b. As per image, we can get answer of reading in right hand = 500N
Hence, as per image a. 100 N is the weight of the scaffold while in equilibrium and b. The reading in the right-hand scale is 500 N.
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6. The cosmological views of the Later Middle Ages held that which of the following was the center of the universe?
a.
The sun.
b.
The earth.
c.
Heaven.
d.
The epicycles.
e.
The moon.
According to the cosmological views of the Later Middle Ages, the center of the universe was believed to be the Earth. Correct answer: letter B.
This was based on the geocentric model proposed by Claudius Ptolemy, in which the Sun and the planets revolved around a spherical Earth. The epicycles and the moon were also thought to play a role in the geocentric model, but the Earth was considered the center of the universe.
The geocentric model proposed by Claudius Ptolemy was the prevailing cosmological view in the Later Middle Ages, and it held that the Earth was the center of the universe. This view was based on the idea that the Sun and the planets revolved around a spherical Earth, which was thought to be at the center of the universe. The Ptolemaic system also proposed that the epicycles and the moon would play a role in the geocentric model, though the Earth was still considered the center of the universe.
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the response to a question has three alternatives: a, b, and c. a sample of 120 responses provides 60 a, 12 b, and 48 c. show the frequency and relative frequency distributions. class frequency relative frequency a b c total
The total frequency is 120 1.
The frequency of each response category is the number of times it occurs in the sample. The relative frequency of each response category is the fraction of the total responses that belong to each category.
Class Frequency Relative Frequency
a 60 60/120 = 1/2
b 12 12/120 = 1/10
c 48 48/120 = 2/5
Total 120 1
Therefore, the frequency and relative frequency distributions of the responses are:
Class Frequency Relative Frequency
a 60 1/2
b 12 1/10
c 48 2/5
Total 120 1
Frequency refers to the number of times a particular event or item occurs in a set of data. It is a measure of how often an event or item appears in a data set. In statistical analysis, frequency is used to describe the distribution of a set of data, such as the number of occurrences of a particular value, category, or event. Frequency can be expressed as an absolute number or as a proportion or percentage of the total number of events or items in the data set. Frequency is an important concept in statistics and data analysis, as it provides a way to summarize and describe the patterns and relationships within a data set.
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Determine the missing side
Answer:
3. 30m
4. 25m
5. 36m
Explanation:
See picture
suppose the pendulum bob in (figure 1) has a mass of 0.23 kg and is moving to the right at point b with a speed of 2.3 m/s . air resistance is negligible.what is the change in the system's gravitational potential energy when the bob reaches point a?
The change in the system's gravitational potential energy when the bob reaches point a is equal to the work done by the gravitational force.
What is the change in the system's gravitational potential energy when the bob reaches point a?Since the bob is moving from point b to point a, the work done by the gravitational force is negative.The work done by the gravitational force is given by W = -mgh, where m is the mass of the bob, g is the acceleration due to gravity, and h is the height difference between points a and b.In this case, m = 0.23 kg, g = 9.8 m/s^2, and h = 0.2 m.Therefore, the change in the system's gravitational potential energy when the bob reaches point a is W = -(0.23 kg)(9.8 m/s^2)(0.2 m) = -4.564 J.The change in the system's gravitational potential energy when the bob reaches point a is -6.67 J.This can be calculated using the equation PE = mgh, where m is the mass of the bob (0.23 kg), g is the acceleration due to gravity (9.81 m/s2) and h is the change in height (1 m). Thus, PE = 0.23 x 9.81 x 1 = 2.33 J.The change in PE is calculated by subtracting the initial PE (2.33 J) from the final PE (0). Thus, the change in PE is -2.33 J.To learn more about gravitational force refer to:
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the asteroid belt is group of answer choices a new fashion accessory being sold by nasa to raise funds for future missions a series of orbital zones around the moon, from which fragments drop down to form craters a region of icy chunks of material beyond the orbit of pluto a zone where rocky chunks orbit between mars and jupiter is a region around the earth from which meteors (shooting stars) are observed to drop
A region where rocky chunks orbit between Mars and Jupiter.
The asteroid belt is a region located between the orbits of Mars and Jupiter where many small, rocky objects (asteroids) orbit the sun. Here are some key points about the asteroid belt:
Composition: The asteroids in the belt are made of rock and metal, and range in size from small pebbles to objects hundreds of kilometers in diameter.Formation: The asteroid belt is believed to have formed from leftover material from the early solar system that never coalesced into a planet.Number of objects: There are estimated to be millions of asteroids in the belt, with thousands that have been studied and cataloged by astronomers.Importance for scientific study: Studying the asteroids in the belt can give us insight into the formation and evolution of the early solar system. Additionally, some asteroids contain valuable minerals that could be mined in the future.Hazards: While the asteroid belt is far from Earth and poses no immediate threat, collisions between asteroids can sometimes send fragments on a collision course with our planet. This is why it is important to continue to study and monitor the objects in the asteroid belt.Learn more about asteroid belt here:
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One atmosphere of pressure is defined as 101.325 kPa. From the answer as below, select the closest approximation to the mass of air above a square meter of the earth
Answer:
The answer is 8.73 kPa.
Hope this helped you. Tell me if I am wrong.
I also answered first. Please brainliest if any chance!
Explanation:
Each of the following statements is related to conductors in electrostatic equilibrium. Choose the words that make each statement correct. (i) The net charge is always zero [(a) inside; (b) on] the surface of an isolated conductor, (ii) The electric field is always zero [(c) inside; (d) just outside] a perfect conductor, (iii) The charge density on the surface of an isolated, charged conductor is highest where the surface is [(e) sharpest; (f) smoothest].
(i) The net charge is always zero (a) inside a conductor in electrostatic equilibrium.
(ii) The electric field is always zero (c) inside a perfect conductor in electrostatic equilibrium.
(iii) The charge density on the surface of an isolated, charged conductor is highest where the surface is (e) sharpest.
Charged conductors create the state of electrostatic equilibrium, when the surplus charge has properly repositioned itself to lower the overall strength of the repelling forces.
Charges in a conductor react swiftly to attain a constant state known as electrostatic equilibrium when an excess of charge is applied to the conductor or the conductor is placed in a static electric field.
The following formula, ϕ = ∮ E ⋅ d A \phi = \oint {E \cdot dA} ϕ=∮E⋅dA, which is the integral of the dot product of the electric field (E) and the area of the conductor (A), states that electrostatic equilibrium will be reached in the presence of the magnetic field where the surface is perpendicular.
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A ball of mass 2kg is launched upward with a velocity of 5m/s. Calculate the height when the ball stops moving. (PLEASE HELP i dont understand this and this is due tmr pls do it step by step!!)
The ball of mass 2kg launched upward with a velocity of 5m/s will go underground 25/49 meters.
How are the equations of motion used to calculate the height?To calculate the height when the ball stops moving, we need to use the equations of motion for an object in free fall under the influence of gravity.
The first step is to determine the acceleration of the ball due to gravity, which is given by the equation: a = -g, where g is the acceleration due to gravity (approximately 9.8 m/s²on the surface of the Earth) and the negative sign indicates that the acceleration is downward. So, a = -9.8 m/s²
Next, we can use the equation: v² = u² + 2as , where v is the final velocity, u is the initial velocity, and s is the distance traveled. Since the final velocity of the ball is zero, we can substitute v = 0 and u = 5 m/s.
Now we can solve the equation for s: 0 = (5 m/s)² + 2(-9.8 m/s²)s
Once we solve for s, we get: s = -(5 m/s)² / (2 × -9.8 m/s²) = 25/49 m
Since the ball is moving upward, the negative sign in the equation means that the height is negative, so the height when the ball stops moving is -25/49 meters.
It's important to remember that the negative height means that the ball goes below the point where it was launched, it goes into the ground.
In summary, the ball of mass 2kg launched upward with a velocity of 5m/s will go underground 25/49 meters.
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Suppose you have a coffee mug with a cylindrical shape (the radius is uniform, in other words).
What is its inside radius, in centimeters, if it holds 375 g of coffee when filled to a depth of 9.5 cm? Assume coffee has the same density as water, 1.00 g/cm3. sig.gif?tid=4N89-35-A9-45-A5E1-16925
R =
The inside radius of the coffee mug that can hold the given mass is 4.61 cm.
In more recent usage, a circle's or sphere's radius is also its length. In classical geometry, a circle's or sphere's radius is any line segment that connects the object's center to its perimeter. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel." Radii" or the typical English plural radiuses can both be used as the plural form of the word radius. The diameter D is hence defined as being twice the radius.
The given parameters;
coffee's whole mass, m = 400 g
height of mug, h = 6 cm
the coffee's density, ρ = 1 g/cm³
The amount of coffee in the mug is calculated using the formula below:
[tex]\begin{gathered}volume = \frac{mass}{density} \\\\volume = \frac{400}{1} \\\\volume = 400 \ cm^3\end{gathered}[/tex]
The coffee mug's interior radius is computed as follows:
[tex]\begin{gathered}Volume = \pi r^2 h\\\\400 = \pi \times r^2 \times 6\\\\r^2 = \frac{400}{6\pi} \\\\r^2 = 21.22\\\\r = \sqrt{21.22} \\\\ \ \end{gathered}[/tex]
r= 4.61cm
Thus, the coffee cup's inside radius is 4.61 cm and it can hold the specified mass.
Learn more about Radius
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