According to the question, The electrostatic force is inversely related to the square of the separation distance.
Electrostatic force, where is it?Between two charges that are separated by a distance, there is an electrostatic force. The size of each charging and the separation between them determine the strength of the electrostatic force. Two charges that are either positive or negative when placed together repel one another.
Why do electrostatic forces exist?Positively and negatively charges are known to interact with one another. The magnitude of the electrostatic force, however, serves as a gauge for the strength of all this interaction. The magnitude of the static electricity and the spacing between them both contribute to this force.
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Find the output force exerted by a moveable pulley if the input force is 50 N.
Please give the equation.
Answer:
Because the mechanical advatage of a movable pulley is always two you multipy the input force times two. So 50 * 2 = 100N
: what type of star is several thousand times brighter than the sun with a temperature that is much cooler than the sun? claim: i claim that the star would be classified as a main sequence star. evidence: the main sequence stars go across the hr diagram diagonally. there are main sequence stars that are thousands of times brighter and thousands of times dimmer than the sun. there are main sequence stars at all different temperatures. reasoning: the hr diagram is a model that we use to show how stars compare to each other. there are different types of stars. the type of star depends on how bright the star is, which is called luminosity, and how hot the star is which is shown as temperature in kelvin. write a rebuttal to marissa's conclusion. your rebuttal should include an alternative claim, sufficient evidence, and reasoning that explain why your alternative claim more correctly answers the guiding question. next, critique marissa's cer. what were the strengths and weaknesses of marissa's conclusion?
The most prevalent type of star in the universe is a red dwarf.These stars belong to the main-sequence, but because of their low mass, they are far colder than stars like the Sun.
Which star is many times brighter and hotter than the Sun?The second region contained the record-breaking star, R136a1.The star may have been 320 times as massive as the sun when it was born.It was discovered that several of the stars had surface temperatures over 40,000C, or more than seven time hotter than the sun.
Which sort of star has a 4000K surface temperature and a Sun-like luminosity of 1000 times higher?an ice giant.The sun will start combining helium when it runs out of energy and is unable to longer fusing hydrogen inside its core, shining with a luminance of 1000 L but with a temp of 4000 K.
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Please help me thank you!
The row in the chart that correctly shows the system A, B, C is row 3, gas exchange, nutrients and waste removal.
option C is the correct answer.
What is Digestive system?The digestive system involves in the break down of food into simpler substances in which the body can absorb in form o nutrient.
The absorption of digested food or nutrient takes place in the small intestine found below the stomach.
The respiratory system involves the intake of oxygen for respiration and the removal of carbon dioxide out of the body. This system involves gas exchange in and out of the body.
The circulatory system transports oxygen, digested food ( nutrients ), water and waste materials around the body.
The waste material like urine is removed from the body through the urinary tract.
Thus, we can conclude that the first system given is for gas exchange, the second system given is for nutrient absorption, and the third system given is for removal of waste materials.
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if you were asked to determine the 3-dimensional shape of a specimen, which objective lens would you use? explain your reasoning in complete sentences.
The objective lens used to determine the 3-dimensional shape of a specimen would depend on the type of imaging technique being used.
What is objective lens ?In general, the objective lens used would be one that is capable of providing high resolution and high contrast images in order to clearly distinguish the different features and structures of the specimen. Additionally, the objective lens should be matched to the type of imaging technique being used, as different techniques have different requirements for resolution, contrast, and depth of field.
For example, if using a scanning electron microscope (SEM), a high-resolution, high-magnification objective lens would be used to capture detailed images of the specimen's surface. On the other hand, if using a confocal laser scanning microscope (CLSM), a high numerical aperture (NA) objective lens would be used to capture images of the specimen in 3D by selectively illuminating and detecting fluorescence from specific depths within the specimen.
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Find the ratio of the volume divided by the temperature for the first data pair. Use significant figures.
V / T = 0.72/276 =
The volume to temperature conversion factor for the first set of data. Use meaningful numbers.
V / T = 0.72/276 = 0.0026
What is temperature ?The average temperature energy produced by a system is measured as temperature, which is a crucial physical characteristic that influences how matter behaves. A thermometer is used to measure temperature, usually in the Celsius & Fahrenheit scales. Temperature is often related to the kinetic energy of the objects that compose up an object and can be thought as the "hotness" / "coldness" of an object. Numerous variables, including the energy of the environment, a material's thermal conductivity, or the amount of heat absorbed or released during a chemical or nuclear event, influence temperature.
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Answer:
V / T = 0.72/276 = 0.0026
Explanation:
the initial velocity of a ball thrown horizontally from the window of a building is 25 m/s. if the ball hits the street below in 3.5 s, then what was the height of the window? (g
If the ball hits the street below in 3.5 s, then 20m was the height of the window.
What is height ?
Height can refer to a person's or an object's vertical extension (how "tall" they are), their vertical location, or both (how "high" a point is). For instance, "That building is 50 metres high," or "An aeroplane flies at a height of about 10,000 metres."
What is velocity ?
The vectorial expression of velocity is the motion of a particle or object with regard to time. The standard unit of velocity magnitude is the metre per second (m/s), which is also known as speed.
Therefore, If the ball hits the street below in 3.5 s, then 20m was the height of the window.
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speedometer readings for a motorcycle at 12-second intervals are given in the table. (a) estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. (b) give another estimate using the velocities at the end of the time periods. (c) are your estimates in parts (a) and (b) upper and lower estimates? explain.
B) Estimate using the velocities at the end of the time intervals
Total distance traveled = 5 m/s x 12 s + 7 m/s x 12 s + 9 m/s x 12 s = 228 m
What is velocities ?
Velocities are the speeds at which objects move. It is a measure of an object's speed and direction of motion, and is expressed in units such as meters per second (m/s), kilometers per hour (km/h), miles per hour (mph) or knots (kts).
Velocity is a vector quantity, meaning that it has both magnitude and direction. It is important to note that velocity is not the same as speed, which is a scalar quantity and does not have a direction.
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A 3.7 kg block of wood sits on a frictionless table. A 3.0 g bullet, fired horizontally at a speed of 450 m/s , goes completely through the block, emerging at a speed of 230 m/s .What is the speed of the block immediately after the bullet exits?
The speed of the block immediately after the billet exist is 0.346m/s.
Describe speed.An object's speed is how quickly it moves through space. When moving quickly, an object can cover a large distance in a short period of time. As opposed to this, a slow-moving object travels a relatively short distance in the same amount of time. A thing that isn't moving at all is said to have zero speed.
Mass of wood = 3.7kg
Initial speed u₁=0
Mass of bullet is = 3x10⁻³kg
Initial speed of block =450m/s
Final speed of block v₂=230m/s
According to linear momentum
Initial linear momentum = Final linear momentum
Mu₁+mu₂ =Mv₁+ mv₂
Mx0 + 3x10⁻³ x450 = 3.7v₁ + 3x 10⁻³ x230
1.35-0.069 = 3.7v₁
1.281 = 3.7v₁
v₁ = 0.346m/s
The speed of the block immediately after the billet exist is 0.346m/s.
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An experiment is performed to test the effects of sleep deprivation on rote memory. In this experiment, the dependent variable is thea. number of hours subjects go without sleep.
b. rote memory scores.
c. number of subjects deprived of sleep in the experimental group.
d. correlation between hours of sleep and fatigue.
In this experiment, the main focus is to test the effects of sleep deprivation on rote memory. Thus option B is the correct answer.
The dependent variable in this experiment is the rote memory scores of the subjects.
Rote memory is the ability to memorize information through repetition, and this is the outcome that the experimenters are trying to measure and observe changes in. The independent variable in this experiment is the number of hours that the subjects go without sleep. This variable is manipulated by the experimenter to induce sleep deprivation in the subjects, and the effects of this manipulation on the dependent variable (rote memory scores) are studied.
The number of subjects deprived of sleep in the experimental group and the correlation between hours of sleep and fatigue are also important factors to consider in the experiment, but they are not dependent variables.
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What type of property can be observed without destroying the substance?
Physical properties such as color, shape, size, weight, odor, melting point, boiling point, and density can be observed without destroying the substance.
What is Physical properties?Physical properties are characteristics of a substance that can be observed and measured without changing the substance's chemical composition. Examples of physical properties include color, density, hardness, melting point, boiling point, and electrical conductivity. These properties are determined through experiments and/or observations. Physical properties can be used to identify and classify a material. They can also be used to differentiate between different forms of the same material, such as different allotropes of the same element. Physical properties are also important for understanding how materials interact with each other and how they respond to the environment.
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if your brakes fail, the first thing to do is to... choose one a. apply the parking brake. b. shift to a lower gear, then apply the parking brake. c. pump your brakes. d. shift to neutral.
Answer:
apply the parking break
two masses have the same linear momentum. one mass is 3 kg and the other is 4 kg. which mass has greater kinetic energy?
The mass with greater kinetic energy is the 4 kg mass.
What is mass?Mass is a measure of the amount of matter in a given object. It is usually measured in kilograms (kg) or grams (g). Mass is different from weight, which is a measure of the force of gravity on an object. Mass is an intrinsic property of an object, which means it doesn't change depending on where it is located.
Kinetic energy is calculated using the equation KE = 1/2mv2, where m is the mass and v is the velocity. Since the two masses have the same linear momentum, then the velocity of the 4 kg mass must be greater than the velocity of the 3 kg mass. This means that the 4 kg mass has a greater kinetic energy because it has a greater mass and a greater velocity. Therefore, the 4 kg mass has a greater kinetic energy.
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two masses have the same linear momentum. one mass is 3 kg and the other is 4 kg. The mass with greater kinetic energy is the 4 kg mass.
What is mass?Mass is a measure of the amount of matter in a given object. It is usually measured in kilograms (kg) or grams (g). Mass is different from weight, which is a measure of the force of gravity on an object. Mass is an intrinsic property of an object, which means it doesn't change depending on where it is located.
Kinetic energy is calculated using the equation
K.E. = 1/2mv²,
where m is the mass and
v is the velocity.
Since the two masses have the same linear momentum, then the velocity of the 4 kg mass must be greater than the velocity of the 3 kg mass.
This means that the 4 kg mass has a greater kinetic energy because it has a greater mass and a greater velocity.
Therefore, the 4 kg mass has a greater kinetic energy.
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an uneven arrangement of electrons and protons on a circular arc of radius with angles what are the magnitude and direction of the net electric field produced at the center of the axis
When there is an uneven arrangement of electrons and protons on a circular arc of radius, the net electric field produced at the center of the axis will depend on the magnitude and distribution of the charges.
The net electric field at the center of the axis is given by the vector sum of the electric fields produced by each individual charge. The magnitude of the net electric field is given by Coulomb's law. The direction of the net electric field is given by the direction of the vector sum of the electric fields.
To calculate the magnitude and direction of the net electric field, it is necessary to know the magnitudes and locations of the charges on the circular arc, as well as the distance from the center of the axis to the charges.
It's also important to note that this is a complex calculation and it would require a detailed knowledge of the charge distribution and the geometry of the circular arc to make a precise calculation.
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What do you think are the factors that might affect the magnitude of this angle
The bond angle in a compound is the angle formed between two bonds in the compound. It is affected by the geometry, electron cloud and the size of atoms.
What is bond angle ?Bond angle is the distance between two chemical bonds in a compound. Bond angle is affected by the electrostatic force of repulsion and attraction. Hence, the presence of lone pairs and bond pair are the main factors affecting the bond angle.
If there are lone pairs, the repulsion between two lone pairs is greater than that between a lone pair and bond pair which in turn greater than that between two bond pairs.
Hence, the electron clouds will align themselves to minimize the repulsion. Thus, the geometry and bond angle may vary from what we predicted based on hybridization.
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Your question is incomplete. But your complete question probably was:
What is bond angle? What do you think are the factors that might affect the magnitude of this angle?
how much force is required to keep a 4-kg object moving to the right with a constant speed of 8.0 m/s?
According to the Newton’s first law of motion, any object will remain in its condition of motion unless an unbalanced force acts upon it. Therefore, 0 net force is required to keep a 4 kilogram object's moving to the right at a constant speed of 8.0 m/s.
Newton's first law of motion states that an item does not require a force to remain in motion. Only a net force is required to affect the velocity of an object. The 4 kilograms object is moving at a constant velocity, it means the acceleration will be 0. Hence, there is no net force acting on it (0 Newtons).
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Determine the total heat transfer for the reversible process 1-2 shown in the given figure. T1 is 100°C T2 is 600°C. С Т. 100 0.2 1.0 S, kJ/K The total heat transfer for the reversible process 1-2 is D k J.
The reversible process 1-2's overall heat transfer is [tex]Q_{1-2}[/tex] =482.4 KJ
Heat transfer is a subfield of thermal engineering that focuses on the production, use, conversion, and exchange of thermal energy across physical systems. Thermal conduction, thermal convection, thermal radiation, and energy transfer through phase changes are some of the different types of heat transfer processes that are characterized. Heat transfer is a subfield of thermal engineering that focuses on the production, use, conversion, and exchange of thermal energy across physical systems. Thermal conduction, thermal convection, thermal radiation, and energy transfer through phase changes are some of the different types of heat transfer processes that are characterized.
[tex]Q_{1-2} =[/tex]Area under curve 1-2 on
[tex]Q_{1-2} =\frac{1}{2}[/tex]x0.8x(833.373) + 0.8x373
[tex]Q_{1-2} =[/tex]184+298.4
[tex]Q_{1-2} =\\[/tex]482.4KJ
Question)- Determine The Total Heat Transfer For The Reversible Process 1-2 Shown In The Given Figure. T1 Is 100°C T2 Is 600°C. С Т. 100 0.2 1.0 S, KJ/K The Total Heat Transfer For The Reversible Process 1-2 Is D K J.Learn more about heat transfer
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a 90.0-kg fullback running east with a speed of 5.00 m/s w is tackled by a 95.0-kg opponent running north with a q/c speed of 3.00 m/s. (a) explain why the successful tackle
The speed of the players just after the successful tackle is 2.9 m/s.
In physics, what is a momentum?The amount of motion a body has is referred to as its momentum. Given that momentum depends on both velocity and the direction of the body's motion, it is quantified as "mass velocity". Because velocity is a vector, momentum is a vector quantity, whereas mass is a scalar quantity. Mass times speed equals momentum.
Ф = tan^-1 (m2 u2/m1u1) = 32.3
m1 u1 = (m1 + m2) v cosФ
v => m1u1/ (m1+m2) x cosФ
=> 90 x 5/(90+95) cos 32.3
=> 2.9 m/s.
What is the explanation for the law of conservation of momentum?The momentum conservation law says as much. Except for the application of an external force, the total momentum of two or more bodies operating on one another in an isolated system is constant. Determining momentum is impossible since it cannot be done.
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Problem 4.8 A particle's trajectory is described by x =(12t3−2t2)m and y =(12t2−2t)m, where t is in s.
Part A What is the particle's speed at t=0s ? v = m/s
Part B What is the particle's speed at t=5.0s ? Express your answer using two significant figures. v = m/s
Part C What is the particle's direction of motion, measured as an angle from the x-axis, at t=0 s ? Express your answer using two significant figures. θ =
Part D What is the particle's direction of motion, measured as an angle from the x-axis, at t=5.0s ? Express your answer using two significant figures. θ =
A. The particle's speed at t = 0 s is 2m/s.
B. The particle's speed at t=5.0s is 38.2 m/s.
C. The particle's direction of motion, measured as an angle from the x-axis, at t=0 s cannot be defined.
D. The particle's direction of motion at t = 5.0 s is 64.9 degrees.
What is velocity vector?A velocity vector represents the rate of change of the position of an object. The magnitude of a velocity vector gives the speed of an object while the vector direction gives its direction. Velocity vectors can be added or subtracted according to the principles of vector addition.
Part A: To find the particle's speed at t = 0 s, we need to find the magnitude of its velocity vector. The velocity vector is given by the derivative of the position vector with respect to time. So: v = [tex]\sqrt{( (dx/dt)² + (dy/dt)² )}[/tex]
dx/dt = 36t² - 4t, dy/dt = 24t - 2
Therefore, at t = 0 s: v = [tex]\sqrt{(360^2 - 40)^2 + (24*0 - 2)^2 )}[/tex] = [tex]\sqrt{4}[/tex] = 2 m/s
Part B: To find the particle's speed at t = 5.0 s, we substitute t = 5.0 s into the equation for v: v = [tex]\sqrt{(365.0^2 - 45.0)^2 + (24*5.0 - 2)^2 ) }[/tex]= [tex]\sqrt{(1444)}[/tex] ≈ 38.2 m/s.
Part C: To find the direction of motion, we need to find the angle the velocity vector makes with the positive x-axis. We can use the arctangent function to find this angle: θ = atan(dy/dt / dx/dt)
Therefore, at t = 0 s: θ = atan( (240 - 2) / (360² - 4×0) ) = atan(-2/0) = undefined
Part D: To find the particle's direction of motion at t = 5.0 s, we substitute t = 5.0 s into the equation for θ: θ = atan( (245.0 - 2) / (365.0² - 4×5.0) ) ≈ 64.9 degrees
Note: The answer is given in degrees, if you want it in radians you can use the conversion formula rad = (pi/180)degree.
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if a thin thread is placed between a screen and a bright source of light, a pattern of parallel dark and bright fringes appears on the screen. the phenomenon best explaining the formation of this pattern is:
If a thin thread is placed between a screen and a bright source of light, a pattern of of parallel light and dark strips appears on the screen. This phenomenon is called the diffraction of light.
When a thin thread comes in the path of light waves, it obstructs the upfront of the light wave causing the change in the phase difference of the wave. Overlapping of these different waves of different phase differences cause the dark and light pattern appearance on the wall. On the other hand, thin thread also cast a thin shadow due to the obstruction in the path of light. Pattern on the wall depends on the phase difference in the wave-upfront.
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a ferry boat is 4.00 m wide and 6.00 m long. when a large loaded truck pulls onto it, it sinks 4.00 cm in the water. what is the weight of the truck? (9.41 x 103 n)
The weight of the truck is 11100N
Upthrust, often known as buoyancy, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. A fluid column's pressure rises with depth due to the weight of the surrounding fluid. As a result, an object whose average density is higher than the fluid it is submerged in has a tendency to sink. The force can keep an object floating if it is less dense than the liquid. Only a reference frame that is not inertial and either has a gravitational field or is accelerating due to an external force that defines a "downward" direction can experience this.
The weight of the truck will be obtained by solving for the buoyant force..
[tex]F_{b}[/tex]=[tex]\rho\: V_{submerged}\:g[/tex]
the volume submerged=[tex]4.00m\:\times6.00m\times\:0.047m\:=1.13m^{3}[/tex]
and the density of water is 1000kg/[tex]m^{3}[/tex]
F=[tex]1000kg/m^{3}\:\times1.13m^{3}\:\times 9.8m/s^{2}[/tex]=11100N
The vertical forces are the weight of the truck (you know it's the truck and not the boat itself because the boat submerges only after the truck's on it) and the buoyant force. The boat is not accelerating up or down, so:
[tex]F_{b}[/tex] -[tex]F_{w}[/tex]=0
[tex]F_{b}[/tex]=[tex]F_{w}[/tex]
[tex]F_{w}[/tex]=11100N.
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a 250 g ball travels at a velocity of 40 m/s. its momentum is O 160 kg-m/s. O 10 kg-m/s. O 4 kg.m/s. O 10,000 kg·m/s
When a 250 g ball travels at a velocity of 40 m/s, its momentum is 10 kg-m/s.
In physics, momentum is defined as the product of an object's mass and velocity. It is a vector quantity, which means it has both magnitude and direction. The direction of momentum is the same as the direction of motion of the object.
The momentum of an object is equal to its mass multiplied by its velocity. Therefore, the momentum of a 250 g ball traveling at a velocity of 40 m/s is:
momentum = mass x velocity
momentum = 250 g x 40 m/s
momentum = 10,000 g-m/s
Note that the unit of momentum is usually represented as kgm/s, but since the mass is given in grams, we need to convert it to kg.
momentum = 10,000 gm/s = 10 kg-m/s
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As the frequency of a wave increases on the electromagnetic spectrum, what happens to the wave's energy
As the frequency of a wave increases on the electromagnetic spectrum, the wave's energy increases.
What is electromagnetic spectrum?The electromagnetic spectrum is a term used to describe the entire range of frequencies of electromagnetic radiation, from the longest wavelength radio waves to the shortest wavelength gamma rays. It is composed of various types of electromagnetic radiation, including radio waves, microwaves, infrared, visible light, ultraviolet, x-rays and gamma rays. Electromagnetic radiation can travel through space and can be absorbed, reflected, or refracted by various objects. Electromagnetic radiation is used in various fields such as communications, astronomy, medicine, and industry. For example, radio waves are used for communication, microwaves are used for cooking food, infrared radiation is used for medical imaging, visible light is used for sight, ultraviolet radiation is used for disinfection, x-rays are used for medical imaging and gamma rays are used for cancer treatment. Electromagnetic radiation has both electric and magnetic fields that are perpendicular to each other and to the direction of propagation.
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While riding a bike, you convert chemical energy into kinetic energy. After pedaling for a certain time you have given yourself and the bike (a combined mass of 78 kg) a kinetic energy of 9,011 Joules. How fast are you going at that moment in m/s?
According to the question of kinetic energy, 15.4m/s fast you are going at that moment in m/s.
What is kinetic energy?
Kinetic energy is a form of energy that is associated with the motion of an object. It is the energy an object has due to its motion. Kinetic energy is present in all moving objects and is calculated by taking the mass of the object and multiplying it by the square of its velocity. Kinetic energy is a form of energy that can be transformed into other forms. For example, when a ball is dropped and bounces off the ground, it converts its kinetic energy into potential energy. Similarly, when an object is moving and then comes to a stop, its kinetic energy is converted into heat energy.
The kinetic energy can be calculated by the equation KE = 1/2mv2.
Therefore, v = √(2KE/m) = √(2*9011/78) = 15.4 m/s.
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Consider this system at equilibrium. A(aq) B(aq) Delta H = +550 kJ/mol What can be said about Q and K immediately after an increase in temperature? Q > K because Q increased Q > K because K decreased O < K because Q decreased Q < K because K increased Q = K because neither changed
According to the Chemical equilibrium Q<K because K increased,Shift Right.
The reaction is as follows:
A (aq) [tex]\leftrightarrow[/tex] B (aq)
Given AH = +550 kJ/mol. It indicates that the reaction is endothermic
For an endothermic reaction, if temperature increases the equilibrium
shifts towards the right side (Product side). Which means K is greater than 1.
Thus, Q< K because K is increased.
Chemical equilibrium refers to the situation in a chemical reaction where both the reactants and products are present in concentrations that have no further tendency to change over time, preventing any discernible change in the system's properties. At equilibrium, the forward and reverse reactions are proceeding at the same rate
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This problem explores the behavior of charge on conductors. We take as an example a long conducting rod suspended by insulating strings. Assume that the rod is initially electrically neutral. For convenience we will refer to the left end of the rod as end A, and the right end of the rod as end B.
The charge of the same sign will repel as the ball with a negative charge moves toward the A end of the neutral bar, and when they do so, they move to the left end, leaving the rod with a positive charge.
What do you mean by charge?
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.
What does the term "charge" in chemistry mean?
Subatomic particles have a characteristic known as "electric charge" that makes them experience force while in an electric and magnetic field. Positive and negative charges are the two forms of electricity that are often carried by.
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g when a helium balloon rises it gains ke and gravitational pe. where does that energy come from?
Kinetic energy comes from the motion of the helium balloon, and gravitational potential energy comes from the relative position of the balloon with respect to the ground surface.
Kinetic energy is defined as the energy which an object possessed due to the virtue of its motion. It is equal to the product of mass of the object and square of the velocity.
On the other hand, gravitational potential energy is defined as the energy which is possessed by the object due to position or configuration related to the other objects. If an object of mass m, is situated at a height of h, then its gravitational potential energy will be, p = mgh.
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you can assume that all fluids you will reason about in this course are incompressible. what does incompressible mean? both the fluid's density and its pressure are constant the fluid's pressure is constant the fluid's density is constant
When a fluid's volume or density does not change with pressure, it is said to be incompressible.
A fluid is considered to be incompressible if its density is unaffected by changes in pressure. Real incompressible fluid does not exist. However, in many flow circumstances, the variations in density brought on by changes in the flow's pressure are quite slight. Treating the fluid as incompressible makes it much easier to solve fluid flow equations. When dealing with low-speed aerodynamics or other fluid dynamics situations, we frequently model flows as incompressible (generally with liquids). The density is typically assumed to be constant. This is yet another way of expressing the fluid's incompressibility and the limitless nature of c. (and Mach number is zero).
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A 3. 1-kilogram gun initially at rest is free to move. When a 0. 015-kilogram bullet leaves the gun with a speed of 500 meters per second, what is the speed of the gun?.
The speed of the gun which was initially at rest and leaves the bullet with certain speed is calculated to be 2.42 m/s.
Given that,
Mass of the gun M = 3.1 kg
The bullet's mass is m = 0.015 kg
The bullet's speed is v = 500 m/s
According to momentum conservation principle, the momentum before the bullet leaving the gun is equal to the momentum after the bullet leaving the gun. Both the gun and the bullet will be at rest initially, so the total momentum must be equated to zero.
Mathematically, 0 = m v + M V
where,
V is the velocity of the gun
Making V as subject, we have,
V = - (m v)/ M = -(0.015 × 500)/3.1 = -2.42 m/s
Hence, the gun is moving 2.42 m/s faster than the bullet.
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In an RLC series circuit, which of the following does the quality factor of the circuit depend on? (Select all that apply.)
- Width of the resonance
- L
- R
- C
L
R
C...
On the values of the inductance (L), resistance (R), and capacitance (C). The L, R, and C values determine the resonance frequency of the circuit.
What is the Quality Factor(Q) of an RLC Circuit?The quality factor (Q) of an RLC series circuit is a measure of how underdamped the circuit is. It is defined as the ratio of energy stored in the circuit to energy lost per cycle. In an RLC series circuit, the Q factor depends on the values of the inductance (L), resistance (R), and capacitance (C). The L, R, and C values determine the resonance frequency of the circuit, as well as the damping of the oscillations at that frequency.
The value of L determines the amount of energy stored in the circuit's magnetic field. A higher value of L results in a higher Q factor.
The value of R determines the amount of energy lost in the circuit due to resistance. A lower value of R results in a higher Q factor.
The value of C determines the amount of energy stored in the circuit's electric field. A higher value of C results in a higher Q factor.
The width of the resonance, which is the difference between the frequency at which the circuit is resonant and the frequency at which the circuit's impedance is half the resonant impedance is also dependent on the Q factor, as the Q factor is inversely proportional to the width of the resonance.
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Anna holds a 14 D magnifier directly in front of her eye to get a close look at a 19-mm -diameter penny. Assume a typical 25 cm near point and a distance of 1.7 cm between the lens and the retina.
What is the closest possible distance that she can hold the coin to have it appear in focus?
Express your answer with the appropriate units.
The closest possible distance that she can hold the coin to have it appear in focus is 5.44 cm.
Given:
Magnifier lens power = 14 D
Near point = 25 cm
Distance between lens and retina = 1.7 cm
Diameter of the penny = 19 mm
The focal length is:
f = 1÷D
f = 1 ÷ 14 = 7.1 cm
The image distance is:
v = -(near point - Distance between lens and retina)
v = - (25 - 1.7)
v = - 23.3 cm
From lens formulae:
1/f = 1/u + 1/v
u = vf/(v-f)
u = -23.3×7.1÷(-23.3 - 7.1)
u = 5.44 cm
Hence, the closest possible distance that she can hold the coin to have it appear in focus is 5.44 cm.
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