A system's Center of Mass won't change if no external forces are applied to it, which means no forces from sources outside the system.
What is center of mass?In a uniform gravity field, the phrases "center of mass" and "center of gravity" are interchangeable to refer to the particular place in an item or system that can be used to describe how the system reacts to outside forces and torques. The idea of the center of mass is to calculate the average mass by dividing it by the distance from a fixed location.
Because no external force actuated on the system or any of its components, C.M. velocity is zero (0) for this problem. Although it is true that the two people exerted pressures on themselves, these forces were internal (i.e., produced by system components themselves) and as a result, the system Center of Mass was unaffected.
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if there is no air resistance, what is the net if there is 10 n of air resistance, what is the net force? what is the acceleration?? what is the acceleration?
If there is no air resistance, what is the net if there is 10 n of air resistance, what is the net force,the net force of an object is 0N and acceleration is 6N.
When compared to displacement and velocity, acceleration is like the wrathful, flaming dragon of motion variables. People may be terrified of it, it might be harmful, and if it's enormous, it draws your attention. When you're in a fast-turning corner in a car or go-kart or when you're in a plane during takeoff, you can feel your own acceleration.
Since velocity depends on both speed and direction, you can only accelerate by changing either one or the other, if not both. The object will be moving faster if the acceleration is pointing in the same direction as the velocity. Additionally, the item will slow down if the acceleration is pointing in the opposite direction from the direction of the velocity.
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how far from the lens should you hold the print to see a final virtual image 30 cm from the lens (at the eye's near point)?
m= near point/ s.
s=4.28 cm ( the distance of the contract from the magnifying glasses)
Near point = 30cm
so m= 30/4.28= 7
Thus, far from the lens should you hold the print to see a final virtual image 30 cm from the lens (at the eye's near point) is 7
you are testing a new car using crash test dummies. consider two ways to slow the car from 90 km/h (56 mi/h) to a complete stop: (i) you let the car slam into a wall, bringing it to a sudden stop. (ii) you let the car plow into a giant tub of gelatin so that it comes to a gradual halt. in which case is there a greater impulse of the net force on the car?
In a car crash test, whether you let the car slam the wall or let the car plow into a tub of gelatin, the impulses are the same. However, you and your car will experienced greater force if the car slam the wall.
The impulse is defined as the change in momentum.
I = Δp = m . Δv
Where:
I = impulse
p = momentum
m = mass
v = velocity / speed.
From the Newton's second law of motion:
m = F/a
Where:
F = force
a = acceleration
Hence,
I = F / a . Δv
I = F . Δv/a = F . t
Where t = time period of the exerted force.
The initial and the final velocities of the car are the same for both cases. Hence, from the definition of impulse as the change of momentum, the impulses on both cases are the same. However, if the car experienced sudden stop, which means the force exerted on it in only a very short time, the exerted force on the car will be very large.
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if an input force of 220 n is applied to the handles of the wheelbarrow in the sample problem, how large is the output force that just lifts the load
The output force that only lifts the load is 484 N
What is force?In mechanics, force is defined as any action that tends to maintain or alter the motion of a body or to distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, which are laid out in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving uniformly in a straight line will remain in that state until some force is applied to it.The second law states that when an external force acts on a body, it causes the body to accelerate (change in velocity) in the direction of the force. The acceleration is proportional to the magnitude of the external force and inversely proportional to the amount of matter in the body. According to Newton's third law, when one body exerts a force on another, the second body exerts an equal force on the first. This action-reaction principle explains why a force tends to deform (i.e., change the shape of) a body whether it causes the body to move. When studying the motion of a body, it is common to overlook.
Calculation
For this case, the relationship between the two forces is given by
[tex]F_{1} =nF_{2}[/tex]
Where,
F1: output strength
F2: input force
n: mechanical advantage
Then, replacing the values we have:
[tex]F_{1} = 2.2*220[/tex] = 484 N
Hence, the output force that only lifts the load is 484 N
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a 10 kg ball is tied to a 7 meter long string. the ball is spun in a circle with a constant speed. the maximum tension allowed in the string before it breaks is 100 n. (a)if spun in a horizontal circle, what is the maximum speed the mass can attain?
The highest rate of speed a person can reach is called maximum speed.When athletes alter the magnitude or direction of their motion, or both.
What is the maximum speed the mass can attain?The maximum speed the stone can attain is 8.366 m/s
Data;
Mass = 10kg
radius of tangential path = 7m
Tension = 100N
Centripetal Force
The centripetal force of the stone can be calculated as
Fe =mv/r
v² = Tr/m
v=√Tr/m
v=√100*7/10
v=8.366 m/s
The tension acting on the string is given as
The maximum speed the stone can attain is 8.366m/s
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What is the density of a liquid if a volume of 0.025 L has a mass of 0.034 Kg? Express the result in g/cm3?
Answer: density = 1.36g/cm3
Explanation: 0.025L = 25cm3 and 0.034kg = 34 grams
Density= mass/volume
= 34/25
= 1.36g/cm3
Answer:
Explanation:
Given:
V = 0.025 l; or V = 25 cm³
m = 0.034 kg = 34 g
______________
ρ - ?
ρ = m / V
ρ = 34 / 25 = 1.36 g/cm³
if the human body has an average density of 989 kg/m3 , what fraction of a person is submerged when floating gently in fresh water?submerged fraction:what fraction of a person is submerged when floating gently in salt water, which has a density of 1027 kg/m3 ?submerged fraction:question credit: openstax college physics
The submerged fraction of a person when floating gently in fresh water is 0.989. The fraction of a person is submerged when floating gently in salt water with a density of 1027 kg/m³ is 0.963
fs = ρo / ρf
fs = Submerged fraction
ρo = Density of object
ρf = Density of fluid.
a ) For fresh water,
ρo = ρp = 989 kg / m³
ρf = ρw = 1000 kg / m³
fs = 989 / 1000
fs = 0.989
b ) For salt water,
ρo = ρp = 989 kg / m³
ρf = ρs = 1027 kg / m³
fs = 989 / 1027
fs = 0.963
Therefore,
a ) In fresh water, the submerged fraction is 0.989
b ) In salt water, the submerged fraction is 0.963
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If a car, with an initial velocity of 15 m/s, accelerates at a rate of 5 m/s^2 for 4 seconds, what will its final velocity be?
Answer:
35 m/s
Explanation:
vf = vo + at
vf = 15 + 5(4) = 35 m/s
1. on december 26, 2004, a great earthquake occurred off the coast of sumatra and triggered immense waves (tsunami) that killed some 200,000 people. satellites observing these waves from space measured 800 km from one wave crest to the next and a period between waves of 1 hour. what was the speed of these waves in m/s and in km/h? does your answer help you understand why the waves caused such devastation?
222.22 m/s is how fast these waves are moving. Relationship between wave speed, wavelength, frequency, and period.
How can I determine the wave speed?The equation wave speed = frequency x wavelength describes the relationship between wave speed, wavelength, frequency, and period.
Reason: A. Given that we are aware that the formula for calculating a wave's speed is:
v = f, where v is the wave's speed.
f = the wave's frequency
A wavelength is
Here, stands for the separation between adjacent wave crests.
f = 1/Time Period = (1/1 hr)(1 hr/3600 s) f = 2.77 x 104 s1 = 800 km = 8 x 105 m
Therefore,
v = (2.77 x 10⁻⁴ s⁻¹)(8 x 10⁵ m)
v = 222.22 m/s.
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suppose i perform a double-slit experiment on 1,000 electrons. is it possible to predict the pattern they will make when they land?
We cannot. The precise location of the electron cannot be predicted. The likelihood of where an electron will land can be predicted.
Can you forecast the location of an electron?Only the likelihood of an electron being present at different sites can be predicted. The probability distribution can even tell you the average location of several electrons, but quantum theory cannot tell you the precise location of the electron. It can only give you a rough sense of where the one electron will end up.
The wave effectively splits into two new waves as it travels through both holes, each of which spreads out from a different slit. Then, there is interference between these two waves. A peak and a trough may occasionally cross paths where they cancel one another out.
The double-slit experiment, which was conducted to study the characteristics of light in the eighteenth century, has subsequently been found to illustrate the duality of photons as well as the ideas of superposition and quantum interference.
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two workers are sliding 260 kg crate across the floor. one worker pushes forward on the crate with a force of 450 n while the other pulls in the same direction with a force of 370 n using a rope connected to the crate. both forces are horizontal, and the crate slides with a constant speed. what is the crate's coefficient of kinetic friction on the floor?
To find out the kinetic friction, using the coefficient friction formula.
What is kinetic friction?
A force that acts between moving surfaces is called "kinetic friction." A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' kinetic friction coefficients will determine how much force is applied.
What is coefficient friction?
A measure of the degree of friction between two surfaces is the coefficient of friction. A coefficient of friction is determined by calculating the resistance to motion at the intersection of two surfaces made of the same or different materials.
UK
U-coefficient of friction
K-Kinetic friction
Using UK
450+370-f=m*o
f=820=UK*260*9.8
UK=2.548
820/2.548
UK= 321.8210361
Therefore the coefficient of kinetic friction is 321.8210361
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world-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has magnitude 15 m/s^2. how much horizontal force f must a sprinter of mass 60 kg exert on the starting blocks to produce this acceleration?
The force exerted by the sprinter who is having a mass of 60 kg and accelerating at 15 m/s² is 900 N
The acceleration of the sprinter is 15 m/s²
The mass of the sprinter is 60 kg
The force exerted by the printer can be found using the formula,
F = ma
where F is the force exerted by the sprinter
m is the mass of the sprinter
a is the acceleration of the sprinter
Let us substitute the known values in the above equation, we get
F = 60 x 15
= 900 N
Therefore, the force exerted is 900 N
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In each of three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table
shows the relationship between the acceleration and the acting force.
Acceleration (m/s²)
Force (N)
1.2
0.7
1.6
4.8
2.8
6.4
Which phrase best describes a graph that would represent the relationship shown in the table? (1 point)
an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
Answer: an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the X-axis
just took the test
an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the X-axis best describes a graph that would represent the relationship shown in the table
What are the features of graph ?A graph is represented as pictorial form the of data or numeric values in an organized manner which enables user to represent large amount of data in visual form.
There are 2 types of questions and the features of graphs are interpretation of given graphs or selecting a graph based on a verbal description.
The bar graphs are the most common type of graph, other graphs are dot plots, histograms, line graphs and scatterplots.
A Bar Graph is represented as the graphical display of data using rectangular bars of different parameters like heights, The structure can be represented in the y axis contains values, and the x axis contains categories or time periods.
A dot plot is a simple graphical representation which shows the frequency with which items appears in a data set and present data on the x axis.
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the product of a force and the perpendicular distance from the force's line of action to the axis of rotation is known as
The product of a force and the perpendicular distance from the force's line of action to the axis of rotation is known as Torque.
Torque or moment of the force is the term used to describe a force's ability to turn.
The moment arm is the length that separates the line of action perpendicular to the axis of rotation. Torque is a mathematical combination of force F and moment arm L. Torque is equal to F times L. The moment arm affects torque. The torque will create more of an increase the longer the moment arm.
The line of action of a force is the path it travels when exerting its power.
The moment arm of the force is the length that separates the force's path of action from its axis of rotation perpendicularly.
The newton meter is the torque SI unit (Nm). A force of 1 N operating perpendicular to the moment arm's length of 1 m produces a torque of 1 N m.
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What is the potential energy of a 25 kg bicycle resting at the top of a hill 3 m high? (Formula: PE = mgh)
The potential energy of a 25 kg bicycle resting at the top of a hill 3 m high will be 735 J
potential energy = m*g*h
where
m = mass
g = acceleration due to gravity
h = height
potential energy = 25 * 9.8 * 3 = 735 J
The potential energy of a 25 kg bicycle resting at the top of a hill 3 m high will be 735 J
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You are skiing and you push off from the top of the hill, giving yourself an initial velocity of 1 m/s. You accelerate down the hill at a rate of 2 m/s/s. What will your speed be after 10 seconds? How far will you have traveled after 10 seconds?
Using Equations of motion, speed after 10 seconds will be 21 m/s and the distance travelled after 10 seconds will be 110 m.
What are Equations of motion?
Equations of motion are thought of as the relationships that assist us in relating the physical quantities, such as distance traveled, time spent traveling there, acceleration, and initial and final velocities.
First equation of motion
The velocity-time relation is the name given to the fundamental equation of motion, v = u + at.Second equation of motion
The position-time relation can be defined as s = ut + 1 / 2at2 in the second equation of motion.Third equation of motion
v2 = u2+ 2as, the position-velocity relation, is the third equation of motion.Given, initial velocity, u = 1 m/s
acceleration, a = 2 m/s/s
time = 10 s
Using First equation of motion, we find the speed after 10 seconds.
v = u + at
v = 1 + 2 x10
v = 1 + 20
v = 21 m/s
Using Second equation of motion, we find the distance travelled after 10 seconds,
s = ut + 1 / 2at2
s = 1 x 10 + ( 2 x 10 x 10)/2
s = 10 + 100
s = 110 m.
Hence, after 10 seconds speed will be 21 m/s and distance will be 110 m.
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tides are the periodic short term change in the height of the ocean surface at a particular place, generated by long wavelength progressive waves that are caused by the interaction of gravitational force of the moon and sun. group of answer choices true false
Using the concepts of gravitation, we find that it is true that tides are the periodic short term change in the height of the ocean surface at a particular place, generated by the long wavelength progressive waves that are caused by interaction of gravitational force of the moon and sun.
Gravitational force is one of basic forces of nature. It is a force that acts between two bodies and it is always attractive in the nature. Gravitational force is the force with which the objects are attracted to the centre of earth. The motion of the planets and the moon are governed by this force
Kepler’s first law All the planets will revolve around the sun in an elliptical orbit with the sun at one of the focus.
Hence, tides are the periodic short term change in the height of the ocean surface at a particular place, generated by the long wavelength progressive waves that are caused by interaction of gravitational force of the moon and sun is true.
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you throw a rock straight down with an initial speed of 5 m/s. It took 4.5 seconds to hit the ground below. How high was the cliff?
The height of the cliff is 121.75 m.
What are the equation of motion?An equation of motion, describes the behavior of a physical system in terms of motion as a function of time. More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions related to dynamic variables. The equations of motion are:
v = u + atut + 1/2 at²v² = u² + 2asFor the given case we will use the following equation:
s = ut + 1 / 2 gt²
s = Height of the cliff
u = Initial velocity of rock (5 m/s)
a = Gravitational acceleration (9.8 m/s²)
t = Time (4.5 sec.)
s = (5 × 4.5) + ( 1 / 2 × 9.8 × 4.5² )
s = 22.5 + 99.25
s = 121.75 m
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ultraviolet radiation falls in the wavelength region of 1.00 * 10^-8 to 1.00*10^-7 meters. what is the wavelength of ultraviolet radiation that has an energy of 1.99*10^-20 kj/photon? wavelength
The wavelength of ultraviolet radiation that has an energy of 1.99*10^-20 kj/photon is 3.00 x 1016 sec-1.
How to find the wavelength of ultraviolet radiation?Frequency = speed of light divided by wavelength
wavelength times the speed of light to calculate frequency.
F = c/ = (1.00 x 10^-8 m) / (3.00 x 108 m/s) = 3.00 x 1016 sec-1
When calculating light energy, we require the following two equations:
E = hv, where h = Planck's constant (see below), v = frequency in Hz, and E = energy of a photon of light.
c =, where = wavelength in m, = frequency in Hz, and c = speed of light (3x108 m/sec).
When these two equations are rearranged, we obtain
We will apply the equation E = hc/ to resolve the current issue.
h = 6.626 x 10 – 34 Jsec
c = 3 x 10 ^8 m/s
λ = 1.00 * 10^^7 m
E = (1.00x10-8 m)/(6.626x10-34 Jsec)(3x108 m/sec)
E = 1.99x10-20 kJ/photon x 1 kJ/103 J, or 1.99x10-20 J/photon per photon.
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Gabriel kicks a soccer ball so that it has an initial velocity 22 meters per second, at an angle of 16 above the ground. How much time does it take for the soccer ball to reach its maximum height?
0.62s
2.24s
0.77s
2.16s
WHICH ONE???
The time taken to reach the maximum height, given that the ball has an initial velocity of 22 m/s is 0.62 s
How do I determine the time taken to reach the maximum height?The time taken to reach the maximum height can be obtained by using the following formula:
t = uSineθ / g
Where
t is the time taken to reach the maximumu is the initial velocityθ is the angle of projectiong is the acceleration due to gravityNow, we shall determine the time taken to reach the maximum as follow:
Initial velocity (u) = 22 m/sAngle of projection (θ) = 16 °Acceleration due to gravity (g) = 9.8 m/s²Time taken to reach the maximum height (t) = ?t = uSineθ / g
t = (22 × Sine 16) / 9.8
t = 0.62 s
Thus, the time taken is 0.62 s
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an engineer is working on determining the speed limit for a curved stretch of road. she knows the coefficient of friction between the wheels and the road is 0.7 when the road is dry and 0.3 when the road is wet. she also knows that the mass of the vehicle does not matter, but completes her calculations for a 700kg car. in order to set a speed limit that is safe under any conditions, should she perform her calculations with the coefficient of friction for wet or dry pavement?
The speed limit for a curved stretch of road with the coefficient of friction between the wheels and the road is 0.7 when the road is dry and 0.3 when the road is wet is √ 2.94 r m / s
Fc = m ac
Ff = μ N
N = m g
Fc = Centripetal force
m = Mass
ac = Centripetal acceleration
Ff = Frictional force
μ = Co-efficient of friction
N = Normal force
μ = 0.3 ( Wet value to taken to provide zero skidding under any condition)
g = 9.8 m / s²
The only force that is providing the centripetal force is frictional force.
m ac = μ m g
ac = 0.3 * 9.8
ac = 2.94 m / s²
ac = v² / r
2.94 = v² / r
v = √ 2.94 r m / s
Therefore, the speed limit for the curved stretch of road is √ 2.94 r m / s. She should perform her calculations with the coefficient of friction for wet pavement.
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Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. the shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. the vertex of the parabola is at the origin. where should gabe place the bulb to ensure a perfect beam of light? (0, 1) (0, 4) (1, 0) (4, 0)
Gabe should place the bulb to ensure a perfect beam of light at (C) (1,0).
A reflective surface used to gather or project energy like light, sound, or radio waves is known as a parabolic, paraboloid, or paraboloidal reflector, dish, or mirror. Its form is a component of a circular paraboloid or the surface produced by a parabola rotating around its axis.
Suppose the equation of parabolic mirror is Y2 = 4ax
The given data in the problem is x = 1 and y = 2
So the subject value is y2 = 4ax
4 = 4 a (1)
4 = 4a
a = 1
So x = 1
thus focus is at (x, y) = (1,0)
Thus option C is the correct answer.
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a certain automobile of mass 1470 kg travels on a german autobahn at 150 km/h. what is the wavelength of the automobile? answer in units of m
9.8m is the wavelength of the automobile. The distance between identical points (adjacent crests) in adjacent waveform signal cycles carried in space or along a wire is defined as the wavelength.
What is wavelength?The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal carried in space or along a wire is defined as the wavelength. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).
A spectrum is the range of wavelengths or frequencies for wave phenomena. The term started with the visible light spectrum, but it is now used to refer to the full electromagnetic spectrum, as well as a sound or vibration spectrum.
wavelength=1470/150
=9.8m
In a series of waves, the distance between one peak and the next, or between one dip and the next. It is also one of the "yardsticks" used in radiation measurement.
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why the heliocentric theory of the solar system came to be regarded as preferable to the geocentric theory
Copernicus adopted the heliocentric view because it better explained the movements of the heavens mathematically.
Copernicus' heliocentrism could eliminate Ptolemy's epicycles because retrograde motion could be seen as the result of a combination of Earth and planetary motions and velocities.
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A hair dryer uses the energy from the plug in order to power a small fan that blows air. When a hair dryer is being used, which is one of the energy transformations that takes place?.
Energy transformation takes place when using a hair dryer, electrical energy into kinetic energy and thermal energy.
Energy can be converted according to the law of conservation of energy. Every object transforms the original form of energy into another form called a converter. Every electrical device works to convert electrical energy into other forms.
A microwave converts electrical energy into thermal energy.A lightbulb converts electric energy into light energy.A mixer converts electric energy into kinetic energy.When we use a hairdryer
The temperature of small wires inside it will be raised because the electrical energy transforms into thermal energy.The motion of a small fan happens because the electrical energy transforms into kinetic energy.The small fan gonna blows the air between hot wires and creates hot air that comes out from it.Learn more about Energy Convertion here: https://brainly.com/question/961052
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In the period 6 inner transition element series, the 4f orbitals begin to be filled after the element _____.
In the period 6 inner transition element series, the 4f orbitals begin to be filled after the element Lanthanum(La) and Cerium(Ce).
The d and f Block elements in the groups of 3 to 11 are also called transition elements and inner transition elements respectively. 4f and 5f orbitals of f-block elements are steadily in the latter of two long periods.
Inner transition element:
Inner transition elements are those elements in which the last electron enters the f-orbital. The elements in which the 4f and the 5f orbitals are progressively filled are called f-block elements. These includes lanthanoids( Z = 58 - 71) and actinoids (Z = 90 - 103).
Therefore period 6 inner transition elements begin with Lanthanum and Cerium.
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two parallel plates are maintained with constant voltage by a battery as they are pulled apart. what happens to the strength of the electric field during this process?
During this process, the electric field gets stronger.
Between parallel plates, why does the electric field remain constant?Because of the assumption that the distance between the plates is small in comparison to the area of the plates, the electric field in parallel plates is uniform and roughly constant. Due to the interaction of the fields produced by the two plates, the field is roughly zero outside of the plates.
The capacitor's two oppositely charged plates are separated by an electric field that is constant throughout, with the exception of the plate edges. The electric field does not change because the space between the plates is smaller than their combined surface area.
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Pls help answer thus
a bus travels with an average velocity of 60km how long does it take to cover a distance of 500km
Solution: given that; velocity (v)=60km/hr, distance (d)=500km, time (t)=? From velocity=distance/time....... :. 60=500/t, cross-multiply..... 60t=500, divide both sides by 60...... 60t/60=500/60, t=500/60, t=8.33~. Therefore the bus took 8hours, 33 minutes to cover the distance of 500km.
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what is the de broglie wavelength (in meters) of a 148 g baseball thrown at a velocity of 35.1 meters per second?
The de-Broglie wavelength of the baseball is 1.27×10⁻²⁵nm
λ=h/m
h is the Planck Constant =6.63×10⁻³⁴Js
m = mass = 148×10⁻³
=0.148kg
v= velocity =35.1m/s
λ=6.63×10⁻³⁴/0.148×35.1
λ=1.27×10⁻³⁴m
λ=1.27×10⁻²⁵nm
When learning about quantum mechanics, the de Broglie wavelength is a crucial idea. De Broglie wavelength is the wavelength that is connected to an object in relation to its momentum and mass. Typically, a particle's force and de Broglie wavelength are inversely related.
Some people believe that matter has both a wave- and a particle-like nature. De Broglie wavelength, so named after the discoverer Louis de Broglie, are the characteristics of a physical object that fluctuate in time or space while acting like waves. Matter waves are another name for it. It is strikingly reminiscent of the experimentally demonstrated dual nature of light, which exhibits both particle and wave behavior.
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