The work done during expansion is 2.73×10³J and the heat transferred to the surrounding is -2.73×10³ J
What is isothermal process ?The thermodynamic process which takes place in constant temperature of the system is called isothermal process.
What is work done in isothermal process?Due to change in volume of the system at constant temperature, some work is done .As, the temperature of gas is fixed. This process is isothermal.Now, work done (W) = nRT ln ( V2/V1)where W = work done by the systemn= number of moles
R= universal gas constant
V2= volume of the system after expansion
V1= volume of the system before expansion
W= (1)(8.31)(273)ln ( 10/3)= 2.73×10³ J.
Also in isothermal process the amount of work done by the system = -( the amount of heat transferred to the surrounding)So the amount of heat transferred is -2.73×10³ JThus, we can conclude that a) the amount of work done is 2.73×10³J and b) the amount of heat transferred to the surrounding is -(2.73×10³J).
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The figure(Figure 1) shows the wave fronts of a circular wave.
a. What is the phase difference between points A and B?
b. What is the phase difference between points C and D?
c. What is the phase difference between points E and F?
The Phase difference between points A and B is zero of a circular wave.
= 5 pi/2-5pi/2=0
b) What is the phase difference between points C and D?
Phase difference between points C and D will be
= 9pi/2- pi/2=4pi
c) What is the phase difference between points E and F?
Phase difference between E and F will be
= 5pi/2 - 2pi/2= pi
Phase difference:The phase difference of a sine wave can be defined as "the time interval by which one wave leads or lags another", and phase difference is not only a property of one wave, but also the relative property of two or more waves. am. This is also called the "phase angle".
What causes the phase difference of waves?The phase difference between two sound waves of the same frequency passing through a fixed position is given by the time difference between the same position within the wave cycle of the two sounds.
How would you describe the phase difference?Phase difference is the difference in phase angle between two sine waves or phasors. In a three-phase system, the phase difference between conductors is one-third of the period.
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A 20.0 N force is exerted on the small piston of a hydraulic system. The cross-sectional
area of the small piston is 0.0500 m². What is the magnitude of the weight than can be
lifted by the large piston, which has a cross-sectional area of 0.100 m²?
A 20.0 N force is exerted on the small piston of a hydraulic system. The cross-sectional area of the small piston is 0.0500 m2.
What is meant by Hydraulic ?
A mechanical process known as hydraulics uses the force of liquid pressure to operate. In hydraulics-based systems, confined, pumped liquid moves pistons, often through hydraulic cylinders, to create mechanical movement.Operating, utilising, or causing to flow water or other liquids. water or other liquids in motion; operated by the pressure produced by driving water, oil, or another liquid through a relatively small pipe or opening.For instance, hydraulic systems are used by modern aeroplanes to power their controls, deploy their landing gear, and apply their brakes. Fluid power is used by almost all missiles and the ground-support machinery that goes with them. In automobile transmissions, brakes, and steering mechanisms, hydraulic power systems are employed.To learn more about Hydraulic refer to
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When heat is added or removed from a substance, it's temperature and thermal energy will be ______.
Directly Proportional
Temperature is directly proportional to heat. The more the heat more the temperature there are a number of scales like degree Celsius, Fahrenheit, and Kalvin (SI Unit) of temperature which is calculated by the mercury.
As on high heat, mercury expands and on its expansion, we measure on a scale which simply means more the heat more the expansion, and more the temperature on the scale, and wise- versa.
And if we talk about thermal energy(Q) is also directly proportional to a change in temperature (negative when temperature decreases and increases on increasing the temperature). where Q = mc*(change in temperature). where m for the mass, and C is the constant for the type of substance we are taking to transfer the heat.
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The Complete Question is -
How Heat is related to temperature and thermal energy?
Put these objects in order from high to low kinetic energy. The last color will not be used. The baseball color is black, not grey!
Potential energy is the energy that is stored in any object or system as a result of its position or component arrangement. The environment outside of the object or system, such as air or height, has no impact on it. In contrast, kinetic energy refers to the energy of moving particles within a system or an object.
Which seven types of potential energy are there?Potential energy can take many different forms, including chemical, elastic, electrical (electromagnetic), gravitational, nuclear, and thermal energy, and can be found in systems of objects ranging from atoms to planets.
What is a potential of zero?When an electric charge is infinitely removed from other charges, it is said to have zero potential.
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Why are the impulses that colliding objects exert on each other equal and opposite?
The impulses that colliding objects exert on each other are equal and opposite because the time for which they interact is equal for both objects.
When two bodies collide, Newton's Third Law ensures that the normal forces from the collision will always be equal and opposite.
This means that the impulses will be equal and opposite and will cancel out in our impulse-momentum equation when examining the system of equations.
The impulses that colliding objects exert on each other are equal and opposite Where Newton's third law of motion states that every action has its equal and opposite reaction.
This also describes that when an object applies force on a second object, the second object applies an equal and opposite force onto the first object
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Part a Find the magnitude of the net force required to stop a car with a mass of 1050 kg, initial speed is 40.0 km/h, and stopping distance 25.0 m.
According to the question, the magnitude of the net force required to stop the car is 8400 N.
What is magnitude?
Magnitude is a term used to describe the size or intensity of something. It is typically used in physics and mathematics to describe the size of a physical quantity, such as a force or an angle. Magnitude can also be used to describe the magnitude of an event, such as an earthquake. In astronomy, magnitude is used to describe the brightness of a star or other celestial object. The magnitude of intensity is usually expressed in terms of the Richter scale or logarithmic scale. Magnitude can also be used to describe the power of an earthquake or the size of a storm. Magnitude is also used to describe the size or importance of a person, place, or event.
The magnitude of the net force required to stop the car is:
F = m × a
F = 1050 kg × (2 × (40.0 km/h) / (25.0 m))
F = 8400 N
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A 25 N block rests on an adjustable inclined plane; the maximum angle just before it slips is 37° with the horizontal. What the coefficient of static friction is between block and plane surfaces? (use sin 37 0 =0.6 and cos 37 0 =0.8)
The coefficient of static friction for the given inclined plane is 0.8
What is the coefficient of static friction?The friction that occurs when an object is placed on a surface is known as the coefficient of static friction. The movement of an object on a surface also causes kinetic friction.The coefficient of static friction, which is defined as the difference between the normal force and the frictional force, provides a good description of friction.This aids in the thing lying flat on a surface. A scalar value without dimensions is the coefficient of friction. It is a ratio between the pressure pushing two bodies together and the frictional force between them.The greatest frictional force (F) that can exist between two surfaces before the movement starts is divided by the normal force (N) to determine the coefficient of static friction.coefficient of static friction = μ = F/N
μ = 25 cos 37 / 25
μ cos 37
μ = 0.8
Hence the coefficient of static friction for the given inclined plane is 0.8.
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An electron is ejected into a horizontal uniform E⃗ field at a parallel horizontal velocity of v0 .
A.Assume the E⃗ field is in the same direction as the initial velocity. Define the equation for the electron's velocity. Neglect gravity
Express your answer in terms of the variables v0 , |e| , t , E , and m .
B. Define the equation for the electron's position.
Express your answer in terms of the variables x0 , v0 , |e| , t , E , and m .
364 is the correct answer .
What is acceleration due to gravity ?
Gravitational acceleration is the acceleration experienced by an object due to gravity. Its SI unit is m/s2. It is vector magnitude because it has both magnitude and direction. The standard value of g on the surface of the earth at 0m above sea level is 9.8m/s2. Suppose an object [test mass (m)] is moved from a height "h" above the ground [source mass (M)], and as it approaches the ground it begins to move downwards, increasing its velocity. We know that the velocity of an object changes only under the action of a force. In this case the force is provided by gravity.
Under the action of gravity, the object begins to accelerate towards the center of the earth. The center of the Earth is at a distance "r" from the test mass. Then ma = GMm/r2 (applies the equivalence principle)
⇒ a = GM/r2 . . . . . . (1)
The above acceleration is due to the earth's gravitational pull, so we call it the gravitational acceleration and it does not depend on the test mass. The value near the ground is 9.8 ms-2. Therefore the acceleration due to gravity (g) is given by = GM/r2.
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A parallel laser beam of width w1 is incident on a two lens system as shown below. Each lens is converging. The second lens has a larger focal length than the first (f2>f1). 1) What does the beam look like when it emerges from the second lens? O The beam is converging O The beam is diverging O The beam is parallel to the axis with a width < W1 O The beam is parallel to the axis with a width = w1 O The beam is parallel to the axis with a width > W1
When it emerges from the second lens, the beam seems to be parallel to the axis and wider than W1. A two lens system is incident on by a parallel laser beam of width w1, as shown below.
Every lens is focusing together. Pole The pole of a lens is the centre of its spherical refracting surface. the location where the lens's surface and primary axis converge. Vision Center The term "Optical Center" refers to the location on the primary axis that is in the middle of the lens. The transmissive optical device known as a lens employs refraction to focus or disperse a light beam. The only component of a basic lens is a single transparent piece (elements).
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In the lactose operon of E. coli, the CRP-cAMP complex is a(n) _____ of transcription.
O positive regulator
O negative regulator
O enhancer
O silencer
The correct answer is positive regulator
In the lactose operon of E. coli, the CRP-cAMP complex is a(n positive regulator of transcription.
What is Lactose ?
Lactose is a naturally occurring sugar found in milk and other dairy products like yoghurt and ice cream. It is created when two other sugars, glucose and galactose, combine.
The body converts lactose into these two sugars using an enzyme called lactase so that it may be digested. You might not be able to digest or absorb lactose effectively if your body doesn't produce enough lactase, which could result in lactose intolerance symptoms.
Sugars come in a wide variety of forms. Some are what are known as "simple" sugars, monosaccharides, which are single sugar units. Disaccharides, which are composed of connected pairs of monosaccharides, are another type of sugar.
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a 0.2 kg sample of water at 60.0°c is heated to water vapor at 140.0°c. how much heat was absorbed? the specific heat value of water is 4180 j/kgoc. the specific heat value of water vapor is 2020 j/kgoc. the latent heat of vaporization of water is 2.26 x 106 j/kg.
Heat absorbed = 1.05 x 105 J.
Heat absorbed = (mass x specific heat x change in temperature) + (mass x latent heat of vaporization)
Heat absorbed = (0.2 kg x 4180 J/kg°C x (140.0°C - 60.0°C)) + (0.2 kg x 2.26 x 106 J/kg)
Heat absorbed = 59.7 x 104 J + 45.2 x 104 J
Heat absorbed = 1.05 x 105 J
What is vaporization?
Vaporization is the process of a liquid or solid changing into a vapor or gas. It occurs when enough energy is supplied to the molecule to overcome the attractive forces, allowing them to break away from the liquid or solid and form a gas. Vaporization can occur due to heating, pressure, or chemical reactions and can be used in many applications such as distillation and sterilization.
Therefore, Heat absorbed = 1.05 x 105 J.
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The figure(Figure 1) shows the velocity graph of a 2.7kg object as it moves along the x-axis.
Image for The figure(Figure 1) shows the velocity graph of a 2.7kg object as it moves along the x - axis. A) What is the
A) What is the net force acting on this object at t= 1 s?
B) At 4 s?
C) At 7 s?
The net force acting on a moving object is calculated with the equation F= ma, m is the mass and a is the acceleration. In this case we have to calculate acceleration at each stage.
Here we have a velocity-time graph. The acceleration is the slope of the velocity time graph. As there are three different slopes, we could calculate each accelerations differently.
At t= 1sFrom 0s to 3s the object is in constant acceleration.
Acceleration, a = (v-u)/(t₂-t₁)
= (12-0)/(3-0) = 4m/s²
Force, F = ma = 2.7 × 4 = 10.8 N
2. At t = 4s
From the graph, we could observe that the object is in constant velocity. That means the object is in 0 acceleration. So net force acting will be 0
3. At t = 7s
From the graph we could observe the object is in constant deceleration. Calculating the slope,
Acceleration, a = (v-u)/(t₂-t₁)
= (0-12)/(8-6)
= -6m/s²
force, F = ma = 2.7× -6 = -16.2 N.
So the net force acting at t=1s is 10.8N, at t= 4s is 0N, at t= 7s is 16.2N.
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Which statement about the inputs to and outputs from nuclear fusion in the Sun is true?
The total mass of outputs is less than the corresponding inputs, is the statement about the inputs to and outputs from nuclear fusion in the Sun is true.
What is nuclear fusion ?
The Sun and other stars are propelled by nuclear fusion processes. In a fusion reaction, two light nuclei combine to create one heavy nucleus. Because the mass of the resulting single nucleus is smaller than the combined mass of the two initial nuclei, the process releases energy.
What is fission ?
Splitting or breaking apart, either actively or passively. biology a process in which two or more equal sections divide to generate new cells, used in the reproduction of single-celled animals and plants.
Therefore, the total mass of outputs is less than the corresponding inputs, is the statement about the inputs to and outputs from nuclear fusion in the Sun is true.
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If the maximum voltage of an ac signal is 8.0 V, what is the rms value of this voltage? O 2.8V O 6.2 V O 4.0 V O 5.7 V O 16.0 V
Answer: O 2.8V
Explanation: i did this before lol
What percent of the rest mass of this nucleus is its total binding energy? Express your answer using four significant figures.
Binding energy per nucleon is 7.48 MeV.
What is Binding Energy?
The minimal amount of energy needed to remove a particle from a system of particles is often referred to as binding energy. Or to put it another way, it's the energy that divides a system of particles into single units. In atomic physics, chemistry, condensed matter physics, and other fields, we primarily research binding energy. The separation energy is referred to as binding energy in nuclear physics.
Binding energy is required to separate the neutrons and protons, collectively known as the nucleons, from the other subatomic particles that make up atomic nuclei or the nucleus of an atom. Because each nucleus need net energy to be separated into each neutron and proton, the binding energy of nuclei has a positive value.
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5. A car starting from rest accelerates at a rate of 7.0 m/s². What is its final speed at
the end of 4.0 seconds?
Answer:
The car's final speed will be 28 m/s
Explanation:
We can use the kinematics equation
[tex]v_f=v_0+at[/tex]
Note
[tex]v_f[/tex] is the final velocity
[tex]v_0[/tex] is the initial velocity
[tex]a[/tex] is the acceleration
[tex]t[/tex] is the time
We are given
[tex]v_0=0\\a=7\\t=4[/tex]
Lets evaluate [tex]v_f[/tex].
Substituting our values into the equation gives us
[tex]v_f=0+7*4[/tex]
Lets simplify
[tex]v_f=7*4[/tex]
[tex]v_f=28[/tex]
A reaction will be spontaneous if the change in Gibbs free energy _________.
A. is less than 0
B. is greater than the entropy
C. is greater than 0
D. None of these
A reaction will be spontaneous if the change in Gibbs free energy is less than 0. So, the correct option is A.
The Gibbs free energy, sometimes referred to as the Gibbs function, Gibbs energy, or free enthalpy, is a thermodynamic potential that is used to determine the greatest amount of work that can be done in a particular thermodynamic system when the system's temperature and pressure are held constant. An abbreviation for Gibbs free energy is G.
Since it is a kind of energy as well, its value is frequently stated in Joules or Kilojoules. Gibbs free energy is outlined as the most work that can be accomplished using a closed thermodynamic system.
The equation is given as:
G = H - TS
Where,
G = Gibbs free energy
H = enthalpy
T = temperature
S = entropy
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a block of mass 0.4kg on a horizontal surface is attached to a horizontal spring of negligible mass. the other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. the block-spring system then experiences simple harmonic motion as described by the graph. the maximum spring potential energy of the block-spring system is most nearly
Simple harmonic motion a loaded spring undergoes simple harmonic motion whose period is proportional to the mass and inversely proportional to the spring constant.
What is simple harmonic motion?Simple harmonic motion is the periodic motion of an object along a straight line, such that the acceleration of the object is directed towards a fixed point on that line and is proportional to its distance from that point.
Example of a simple harmonic motion is the motion of a loaded spiral spring.
The restoring force on the spring is directly proportional to the extension of the spring and the spring constant.
The period of motion, T when a mass, m is attached to a spring with spring constant k,is given as:
T = 2π√(m/k)
Therefore, a loaded spring undergoes simple harmonic motion whose period is proportional to the mass and inversely proportional to the spring constant.
What is periodic motion ?Periodic motion, in physics, motion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave
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using kepler's third law for bodies orbiting the sun, calculate the semimajor axes for the orbits of a short-period comet with a period of 111.0 years, and for a long-period comet of 701.0 years.
kepler's third law,
Semi-major cross (r) r³=t² =[tex]T^{\frac{2}{3} }[/tex]
The semi-major axis of short-period comet = [tex](111)\frac{2}{3} ^{}[/tex] = 23.10AU
The semi-major axis of short-period comet = [tex](701)^\frac{2}{3}[/tex] = 78.91AU.
Kepler's third regulation is valid due to the fact the sun is tons more huge than any of the planets and therefore Newton's correction is small. The information Kepler had gotten admission to were now not top-sufficient to reveal this small impact. Kepler posted his first two legal guidelines approximately planetary movement in 1609, having located them via reading the astronomical observations of Tycho Brahe. Kepler's 0.33 law become posted in 1619.
It turns out that the steady in Kepler's 0.33 regulation relies upon on the entire mass of the two our bodies worried. Kepler himself, analyzing the motion of the planets across the sun, always treated the 2-frame device of sun-plus-planet. Kepler's third law: the squares of the orbital intervals of the planets are directly proportional to the cubes of the semi-main axes of their orbits. Kepler's 0.33 regulation implies that the period for a planet to orbit the sun increases rapidly with the radius of its orbit.
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The Short-period comet's using kepler's Third law semi-major axis for 111 years is 23.10AU and for 701 years is 78.91 AU is the short-period comet's semi-major axis.
Cross (r) semi-major [tex]r^3[/tex]=[tex]t^2[/tex]
=> r = [tex]t^\frac{2}{3}[/tex]
so for 111 years is( [tex]111^\frac{2}{3}[/tex]) = 23.10 AU
for 701 years is ([tex]701^\frac{2}{3}[/tex]) = 78.91 AU
According to Kepler's Third Law, the planets' squared orbital periods and cubes of their semi-major axes are directly inversely related. According to Kepler's Third Law, a planet's period of orbiting the Sun grows exponentially with its orbital radius. It turns out that the constant of Kepler's Third Law is a function of the combined masses of the two bodies. When analysing the motion of the planets around the Sun, Kepler himself dealt exclusively with the Sun-plus-planet 2-body system.
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Which one is correct?
The maximum energy of a photoelectron cannot be greater than the energy of the incident photon minus the minimum energy needed to escape from the surface of the metal.(5.30*10^-19)
How much energy does a photoelectron have?
The photoelectrons' highest recorded kinetic energy is 6.63 1019 J. The metal's threshold frequency is when it is exposed to radiation with a frequency of 2 1015 Hz.
What is the photoelectron equation?
E = h c W, m an x, where h seems to be the Planck constant, c is the speed of the light, is the wavelength of a incident photon, & W is the activity function of a metal surface, is the formula for a photoelectron's maximal kinetic energy.
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Two cylindrical wires are made of the same material and have the same length. If wire B is to have nine times the resistance of wire A. What must be the ratio of their radii, rB/rA ?
The ratio of the radii rB/rA is 1/3
What does the word "resistance" mean?
The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega (Ω) represents the unit of measurement for resistance, known as ohms.
The collisions between the wire's atoms and electrons result in resistance. The length has a direct relationship to the resistance. The cross-sectional area of the wire is, however, inversely proportional to the square of the wire's radius. This indicates that the relationship between the wire's resistance and radius is inverse. As a result, the wire's resistance drops as the radius rises.
Resistance = (density *length) /area
The density and length of the material is same in both the cases
Area = πr2
So, R1/R2 is (r2/r1)^2
r2/r1 will be square root of R1/R2
R2 is 9 times R1
So, r2/r1 will be 1/3
i.e. rB/rA is 1/3 .
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which one of the following statements best describes the objective of a heat engine? multiple choice question. transform heat into work transform one form of work into another transform work into heat transform one form of heat into another
The objective of a heat engine is to transform heat into work. So, correct option is A.
What do you mean by heat engine?A heat engine is a device that converts thermal energy (heat) into mechanical work. It operates by absorbing heat from a hot source, such as a furnace, and converting it into useful mechanical energy, such as rotating a shaft or driving a machine. The efficiency of a heat engine is determined by the difference between the temperature of the hot source and the temperature of the cooled working fluid (usually air or water). Examples of heat engines include internal combustion engines in cars, steam turbines in power plants, and Stirling engines in heat pumps and refrigeration systems.
The objective of a heat engine is to transform heat into work. A heat engine is a device that uses heat energy from a high-temperature source to perform mechanical work by using a thermodynamic cycle. The basic idea behind a heat engine is to extract thermal energy from a high-temperature source, convert some of this energy into useful mechanical work, and then reject the remaining heat to a lower-temperature sink. The efficiency of a heat engine is determined by the amount of thermal energy that is converted into useful work and the amount of heat that is rejected to the lower-temperature sink.
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Find the critical value for a left-tailed test with α = 0.05 and n = 48. A. -1.96 B. -2.33 C. -2.575 D. -1.645
Option D is correct choice. Critical value for a left-tailed test with α = 0.05 and n = 48 is -1.645
Note: Considering a z test here as the sample size n is greater than 30.
The values that show the boundary of the critical region are referred to as critical values.
Critical areas, sometimes referred to as rejection regions, are the whole range of values that show you reject the null hypothesis.
The critical zone, or area of the "tails" of the distribution, is the area that is covered by values that do not support the default assumption.
Z-scores for typical confidence intervals and alpha values are different.
Using a left-tailed test and an alpha of 0.05, 95% of the area under the curve would be outside the critical area.
The Z-score for 0.95 is roughly -1.65 (-1.645)
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Find the value of E, the margin of error, for c =0.99, n =16 and s =2.6.
Formull: EBM=
Input : EBM =
EBM= , Round you answer to 2 decimal places
Rounded to 2 decimal places, E = 0.64
What is margin of error?The formula for margin of error (E) is E = s * c / sqrt(n), where c is the confidence level (as a decimal), n is the sample size, and s is the standard deviation.
So in this case, E = 2.6 * 0.99 / sqrt(16) = 2.6 * 0.99 / 4 = 0.6435
Margin of error (ME) is a measure of the uncertainty associated with a sample estimate of a population parameter. It is commonly used in opinion polls and other surveys to indicate the degree of accuracy of the results. ME is usually expressed as a percentage of the estimate and is calculated by dividing the standard error of the estimate by the sample estimate, and then multiplying by 100. It can be used along with a confidence interval to indicate the level of precision desired in the estimate. The smaller the margin of error, the more confident one can be that the sample estimate is close to the true population parameter.
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A graph titled Position versus Time shows time in seconds on the x axis, numbered 0 to 5, and position in meters on the y axis, numbered 0 to 15. The graph is a straight line from the (0, 3) to (4, 15).
Based on the information presented in the graph, what is the velocity of the object?
m/s
The velocity of the object is 3 m/s.
What is velocity?
The velocity of an object is the change in the position of the object with time.
The slope of position time graph is known as velocity.
Mathematically, the formula for the velocity of an object is given as;
v = Δx / Δt
v = ( x₂ - x₁ ) / ( t₂ - t₁ )
where;
x₂ is the final position of the objectx₁ is the initial position of the objectt₂ is the final timet₁ is the initial timeThe velocity of the object is calculated as follows;
v = ( 15 - 3 ) / ( 4 - 0 )
v = ( 12 m ) / ( 4 s )
v = 3 m/s
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Answer: The velocity of the object is 0.1 m/s.
Explanation:
i just did it.
(1) Thevelocity of a plantier is given by V(t) = 20t² - 100€ + 5got a, when will the accteration of a particle is zero by what the velocity of the Particles when its acceleration is zero
Answer:
I really don't want to go out for a week and I deserve to be wit me she said that she would have been able even better then again this year moma and she was the one that was earlier than you and my parents are going through a tough time and it was broken down into the last time I was coming from but I see an feel a lot of hate
Explanation:
no exceptions
A 5.0 g coin sliding to the right at 25.0 cm/s makes an elastic
head-on collision with a 15.0 g coin that is initially at rest.
After the collision, the 5.0 g coin moves to the left at
12.5 cm/s.
a. Find the final velocity of the other coin.
b. Find the amount of kinetic energy transferred to the 15.0 g
coin.
The final velocity of the other coin will be 10.33 cm/s and the amount of kinetic energy transferred to the 15.0 g will be 0.00088 J.
What is Momentum?Momentum is the result of a particle's mass and velocity. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum. Check out Newton's laws of motion.
Explanation of the above answer:Mass of first coin, m = 5.5g = 0.0055kg
Mass of second coin, M = 16.5 = 0.0165kg
Initial velocity of first coin, u = 21 cm/s
Final velocity of first coin, v = -10cm/s (because it's in the opposite direction of the initial motion)
Initial velocity of second coin, U = 0 cm/s
Using principle of conservation of momentum:
Total initial momentum = Total final momentum
m*u + M*U = m*v + M*V
U = 0
=> m*u + 0 = m*v + M*V
m*u - m*v = M*V
V = m(u - V) / M
V = 0.0055(21 - (-10)) / 0.0165
V = 0.3333 * 31 = 10.33 cm/s
Kinetic energy is given as:
KE = 0.5 * M * V²
V = 10.33 cm/s = 0.1033 m/s
KE = 0.5 * 0.0165 * 0.1033²
KE = 0.00088 J
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if john mows 11.5 meters of lawn from est to west in 7.1 seconds, what is the velocity of the laawnmower?
Answer:
11.5m/7.1s=1,619718309859155m/s
Explanation:
Distance devided per time. For km/h multiply it with 3.6
What should the equation be?
The equation for r can be written as, r = k e²/ m( n h/ 2π r)².
What is Bohr model?The Bohr model shows atom as a central nucleus containing protons and neutrons with the electrons in circular orbitals at specific distances from nucleus. Angular momentum of an electron by Bohr is given by m v r or n h/2π ( v is the velocity, n is orbit in which electron is revolving, m is mass of electron, and r is radius of nth orbit).
Given, m v r= n h/2π
So, v= n h/ 2π m r
substitute this value of v in mv²/r= k e²/r²(given)
So, r= m( n h/ 2π m r)/r = k e²/r²
r = k e²/ m( n h/ 2π r)²
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compare this force to the weight of a 0.200-mg flea due to earth's gravity.
This force is equal to 1.18 x [tex]10^{-10}[/tex] after comparing it to the weight of a 0.200-mg flea owing to gravity.
Force is a factor that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to define force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
As per the data given in the above question are as bellow,
The data share are as follow,
The weight of a flea is 0.200 mg.
We have to compare the weight with earths gravity.
Thus by using the formula is equal to force upon mass into gravitational force.
i.e F/mg
substitute the value in above equation we get,
[tex]\frac{2.304 \times 10^{-16} \mathrm{~N}}{\left(0.2 \times 10^{-6} \mathrm{~kg}\right)\left(9.8 \mathrm{~m} / \mathrm{s}^2\right)}[/tex]
Further solving we get,
1.18 x [tex]10^{-10}[/tex]
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