The kinetic energy of the baseball thrown by the pitcher is 103.8 Joules.
Th kinetic energy of any moving body is given by,
K = 1/2mv²
Where,
K is the kinetic energy,
m is the mass of the body,
v is the speed of the body.
Here, the mass of the baseball is given to be 0.145 kg and the speed of the baseball is given to be 42.5 m/s.
Putting all the values accordingly,
K = 1/2(0.145)(42.5)²
K = 1/2 x 0.145 x 1806.25
K = 103.8 Joules.
So, the kinetic energy of the baseball is 103.8 Joules.
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the total rms current of the input current to a rectifier is 5 a. the fundamental current has an rms value of 3a. what is the rms value of the distortion current? idist
The distortion current is then equal 0.826 A.
The total rms current of the input current to a rectifier is 5 A. The fundamental current has an rms value of 3 A.
The fundamental current and distortion current are both made up of harmonics. We can find their values by taking the square root of their respective rms values:
5 A = 1/√5
= 2.23 A
3 A = 1/√3
= 1.333 A
The distortion current is then equal to 1.333 * √2 = 0.826 A
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4. how can we change the speed of waves in a string? a) by changing the supplied frequency b) by changing the string tension. c) by changing the size (gauge) of the string d) either b) or c) will do
We change the speed of waves in a string option a. by changing the supplied frequency.
Increasing the tension on a string increases the rate of a wave, which increases the frequency (for a given length). Urgent the finger at exceptional places adjustments the period of string, which changes the wavelength of the status wave, affecting the frequency.
The speed of a wave on a string depends on the rectangular root of the anxiety divided through the mass per length, the linear density. In standard, the velocity of a wave via a medium relies upon the elastic assets of the medium and the inertial assets of the medium.
While the length of a string is modified, it'll vibrate with a one-of-a-kind frequency. Shorter strings have better frequency and therefore better pitch.
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What is the minimum number of data points needed to use matrices to find an equation for a circle.
To find the equation of a circle using matrices, we need at least 3 data points.
The general equation for a circle is given by:
x² + y² + Cx + Dy + E = 0
There are 3 constants in the above equation, C, D, and E. Hence, we need 3 independent equations in order to get unique solution for C, D, and E.
To get 3 equations, we need minimum 3 data points.
Let the data points be: (x₁, y₁) , (x₂, y₂), and (x₃, y₃)
Substitute each data point into the general equation:
x₁² + y₁² + Cx₁ + Dy₁ + E = 0
x₂² + y₂² + Cx₂ + Dy₂ + E = 0
x₃² + y₃² + Cx₃ + Dy₃ + E = 0
The matrix form can be written as:
| x₁ y₁ 1 | | C | | x₁² + y₁² |
| x₁ y₁ 1 | | D | = - | x₂² + y₂² |
| x₁ y₁ 1 | | E | | x₃² + y₃² |
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place the flat sides of the polarizers together and observe the room lights through both polarizers at the same time. rotate one of the polarizers until the intensity is minimum. is any light transmitted through both polarizers when the intensity is minimum? if some light is transmitted, does it have any color? if so, what is the color, and what do you conclude about how the polarizers behave as a function of wavelength (color)?
I = I° cos²∅
When ∅ is 0° then intensity is maximum
When ∅ is 90° then intensity is minimum.
When two polarizer are combined in such a way that their crystallographic axes are parallel, the resulting intensity is at its highest, and you can see the light's original color as it passed through intensity the first polarizer. In this scenario, if the polarizer is colored and we are looking at the object through the polariser, the color that corresponds to the superposed wave that was created by the object's radiated wave (object's color) and the polariser's color will be the color of the object. On a beach, this is what happens when you wear polarized intensity sunglasses on a sunny day: the color of the objects appears differently than when you are wearing sunglasses.
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A Mexican Jumping Bean jumps with the aid of a small worm that lives inside the bean. The bean and the worm have a combined mass of 0.002
kg. The bean can jump to a height of 0.01 m.
a. Calculate the potential energy at the maximum height.
b. Determine the total mechanical energy at the maximum height.
c. Determine the potential energy at a height of 0 m (before it lands).
d. Determine the total mechanical energy at a height of 0 m (before it lands).
e. Determine the kinetic energy at a height of 0 m (before it lands).
f. Calculate the velocity at a height of 0 m (before it lands).
The potential energy at the maximum height is 0.000196 J, the total mechanical energy at the maximum height is 0.000196 J, the potential energy at a height of 0 m is 0 J, the total mechanical energy at a height of 0 m is 0.0001936 J, the kinetic energy at a height of 0 m is 0.0001936 J and the velocity at a height of 0 m (before it lands) is 0.44 m/s.
What is potential energy?Potential energy is stored energy that depends on the relative positions of the various parts of the system. When a spring is compressed, its potential energy is increased.A steel ball has more potential energy lifted off the ground than after it hits the ground. Potential energy is the energy stored in an object or matter. This stored energy is based on the position, placement, or state of an object or matter. Rocks at the edge of cliffs have potential energy. Potential energy is converted into kinetic energy when the stone falls. High branches of a tree have potential energy because they can fall to the ground.To learn more about potential energy from the given link :
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white light containing wavelengths from 410 nm to 750 nm falls on a grating with 7800 slits/cm. how wide is the first-order spectrum on a screen 3.10 m away?
The fundamental spectrum contains only one wavelength. In this case, the wavelength is 750 nm.
The first-order spectrum of white light is the rainbow pattern that appears when white light is passed through a prism in order of decreasing wavelength.
The minimum distance between two wavelengths that can be distinguished by our eyes is known as the Rayleigh criterion, which is equal to (wavelength)/1 nm = Rayleigh criterion
For example, the Rayleigh criterion for red light is 590 nanometers (nm). Therefore, when white light containing wavelengths from 410 nm to 750 nm falls on a grating with 7800 slits/cm, the first-order spectrum on a screen 3.10 m away.
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at its peak, a tornado is 64.0 m in diameter and carries 100 km/h winds. what is its angular velocity in revolutions per second?
The angular velocity of tornado Which having 64m diameter and having velocity of 100 km/h is 0.138 revolutions per second.
How to calculate angular velocity ?A pseudovector that depicts the rate at which the angular position or orientation of an object varies over time is called an angular velocity or rotational velocity.The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude corresponds to the object's angular speed, or the rate at which it rotates or revolves. The right-hand rule is typically used to specify the direction of angular motion.Generally speaking, angular velocity has an angle per unit time dimension. Since the radian is a dimensionless quantity and the SI unit of angular velocity is radians per second, the SI units of angular velocity can be written as s−1. Omega is a common way to represent angular velocity. According to convention, a positive angular velocity denotes a rotation that is counterclockwise and a negative one is clockwise.Angular velocity ω=v/r
Where v is linear velocity
r = radius of circle
ω = 100/32
= 8.29 rpm
Convert to revolutions per second
= 0.138 revolutions per second.
Angular velocity of tornado is 0.138 rps.
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a spaceship moves at speed 0.5c relative to the earth with its headlight on. what value does an observer on the earth get by measuring the speed of light emitted by spaceship
1.0c. Light will always propagate through a vacuum at the speed of light “c”.
What is the velocity of a light?One universal physical constant that is significant in many branches of physics is the speed of light in a vacuum, typically abbreviated as c.The exact value of the speed of light, c, is 299,792,458 meters per second (approximately 300,000 kilometres per second; 186,000 miles per second; 671 million miles per hour).The speed at which common matter or energy (and consequently any signal conveying information) can move through space is c, according to the special theory of relativity.Visible light is an example of electromagnetic radiation that moves at the speed of light.Light and other electromagnetic waves appear to propagate instantly for many practical purposes, but their finite speed has noticeable effects for long distances and very sensitive measurements.To learn more about Special theory of relativity. refer,
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a long wire, parallel to the ground, carries a current toward the east in a magnetic field that is directed due south. what is the direction of the magnetic force on the wire?
A network of metal wires that allows the simultaneous transport of several bits of data Serial cables, which transport data one bit at a time, have mostly replaced parallel wires.
How do parallel wires work?In this tutorial's direct current circuit, there are two parallel straight wires (in red). These wires can be set up in a parallel circuit or in a series circuit, as they are when this tutorial first begins. In a series circuit configuration, a connecting wire joins parallel wires to form a circuit that directs current along a single path. Because of this, the current moves in one direction down one wire and the opposite direction down another wire.By selecting the radio button, you can convert this to a parallel circuit.In a parallel circuit, when the current reaches the parallel wires, it splits in two, with some current flowing down one wire and the other.The direction of travel for the current down both wires is the same.Observe how the parallel wires function in each of these configurations.
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a car has a maximum acceleration of 5.8 m/s2 . what will the maximum acceleration be if the car is towing another car of the same mass? neglect the additional friction force. express your answer using two significant figures.
The maximum acceleration if the car is towing another car of the same mass is 2.8 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Case 1:-
acceleration = force/mass
5.8 = F/m
Let each mass of the car is m
mass of two car = 2m
a = F/2m
So new acceleration will become = 5.8/2
= 2.8 m/s²
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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9. A machine can't be 100% efficient because
AMachines always experience some non-conservative interactions
BMachines turn potential energy into Kinetic Energy
C Machines always conserve energy, they are always 100% effecient
Answer:
answer a
Explanation:
while any machine is working, there are some forces (f.e. friction) that are still calculating.
Good luck
as a meteor moves from a distance of 16 earth radii to a distance of 2 earth radii from the center of earth, the magnitude of the gravitational force between the meteor and earth becomes a) 1/8 as great b) 8 times as great c) 64 times as great d) 4 times as great
The magnitude of the gravitational force between the meteor and earth becomes 64 times as great when meteor moves from 16 to 2 radii.
What is gravitational force and how it becomes 64 times as great when meteor moves from 16 to 2 earth radii?Gravitational force is the force due to gravity that we experience all through living , the attraction of earth to all the universal substances.Here a meteor moves from a distance of 16 radii to distance 2 earth radii and the magnitude of gravitational force is asked .We will use newton's gravitational force formula : F = Gm1m2/r^2 , where m1 and m2 are the masses of objects and G is gravitational constant and F is gravitational force.Here the F1 would be calculated as : F₁ = F/16² = F/256. And F2 will be calculated as :F₂ = F/2² = F/f.Knowing the value of F1 and F2 , we will take a ratio F2/F1, which equals F2/F1 = 256/4 = 64 times.To know more about gravitational force visit:
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when a variable force is applied to an object, it travels a distance of 5 m. the total work done on the object is given by
50 Newton is the total work done on the object.
d=5 cm
F= 10 N
work done=Fd
work done=5×10
work done=50 N
When moving an object over a distance, an external force must direct at least a portion of its force in the direction of the displacement. This is referred to as work done in physics. If the force acting along the path is constant, the amount of work can be calculated by multiplying the length of the path by the force's component. The work W is equal to the force f times the distance h to express this idea mathematically, or W = mgh. The work is W = mas if the force is applied at an angle to the displacement.
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collecting the low frequency (high amplitude signal) data points in k-space at the start of the scan (in a rectilinear fashion) is known as
Collecting the low frequency data points in k-space at the start of the scan is known as centric.
What is k-space?k-space represents the spatial frequency information of an object in two or three dimensions. k-space is defined by the space covered by the phase- and frequency-encoded data. The relationship between k-space data and image data is the Fourier transform.
A wave is characterized by its wavelength (λ), the distance between two corresponding points or consecutive peaks. Wavenumber (k) is simply the reciprocal of wavelength and is given by the equation k = 1 / λ Therefore, the wavenumber (k) is the number of waves or cycles per unit path.
The amplitude of the frequency encoding gradient determines how much k-space is filled left to right or left to right. This determines the size of pixels in the frequency direction.
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What is the acceleration of an object with mass of 42.6 kg when an unbalanced force of 112 N is applied to it?
Responses
A 4771.2 m/s24771.2 m/s 2
B 2.63 m/s22.63 m/s 2
C 0.3800 m/s20.3800 m/s 2
D 69.4 m/s2
The acceleration of an object with mass of 42.6kg when an unbalanced force of 112 N is applied to it is 2.63m/s² (option B).
How to calculate acceleration?Acceleration in physics is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).
The acceleration of a moving body can be calculated by dividing the force applied to move the object by its mass as follows:
a = F/m
According to this question, an object with mass of 42.6kg was moved by an unbalanced force of 112 N. The acceleration required can be calculated as follows;
a = 112N ÷ 42.6kg
a = 2.63m/s²
Therefore, 2.63m/s² is the acceleration of the object.
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n a mass spectrometer, chlorine ions of mass 35u and charge 5e are emitted from a source and accelerated through a potential difference of 250 kv. they then enter a region with a magnetic field, which is perpendicular to their original direction of motion. the chlorine ions exit the spectrometer after being bent along a path with a radius of curvature 3.5 m. what is the value of the magnetic field (u
Magnetic field will be equal to 0.269 T
What is magnetic field?A magnetic field, a vector field that defines the magnetic effect on moving electric charges, electric currents, and magnetic materials. A moving charge within a magnetic field experiences a force perpendicular to its velocity and to the magnetic field.
Given,
Mass of chlorine ion is 35u
We know that 1 u = 1.66 × 10⁻²⁷kg
Radius of circular path (r) = 3.5 m
Mass of chlorine ion = 35 × 1.66 × 10⁻²⁷
= 58.1 × 10⁻²⁷kg
Charge (q) = 1.6 × 10⁻¹⁹C
Potential difference (V) = 250 Kv
According to conservation of energy:
¹/₂ mv² = qV
¹/₂ × 58.1 × 10⁻²⁷ × v² = 1.6 × 10⁻¹⁹ × 25 × 10⁴
v = 2.6 × 10⁶ m/s
As we know,
r = mV/qB
B = mV/qr
B = 58.1 × 10⁻²⁷× 25 × 10⁴/1.6 × 10⁻¹⁹× 3.5
B = 0.269 T
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4. A bicycle decelerates due west from 10m/s to rest in 4 seconds and uniformly accelerates due east to reach its original speed in another 4 seconds. A) The acceleration of the bicycle B) I) plot the speed - time li) velocity - time Ii) distance- time iv) displacement - time (v) acceleration - time. From the graph find( c) (I) the distance traveled (ii) the displacement (III) average speed and (iv) average velocity
0 m/s² is the acceleration of the bicycle
decelerates due west = velocity/time
decelerates due west =10/4
decelerates due west = -2.5
accelerates = velocity/time
accelerates = 10/4
accelerates = 2.5
net acceleration = -2.5 +.5
net acceleration= 0 m/s²
Acceleration is a vector variable that describes the rate at which an object changes its velocity. An object is considered to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second. The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, nothing that is moving at a steady speed is accelerating.
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what are the most common finishes applied to aluminum curtain wall componets? what are the advantages of eahc
most common finishes applied to aluminum curtain wall componets is fluoropolymer paint or anodized finish.
what is advantages of finishes ?Anodizing is an electric process that forms a very thick oxide layer with integral color .
An anodized surface is very durable and can be had in many colors , although it is not generally capable of producing very bright colors .
Anodizing is commonly used to improve the corrosion resistance and wear resistance of aluminum parts. It can also provide other desirable benefits, like improved heat dissipation and the ability to accept dyes.
Unlike paints and coatings, anodizing does not apply an external product to the exterior of the aluminum. Instead, an electrochemical process is used to stimulate the naturally-occurring layer of aluminum oxide into growing thicker. This protects the underlying aluminum from its environment, and can even accept dyes. However, the color possibilities for anodizing are not as abundant as in powder coating.
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Which of these is true for both natural and artificial selection?
A. They both occur randomly and spontaneously.
B. They both involve the extinction of unfit species.
C. They both result in the enrichment of certain alleles over others.
D. They both require human involvement to choose the most desirable traits
Answer:
c is answer
Explanation:
Humans allow only organisms with favorable traits to reproduce. Is this true of natural selection, artificial selection or both? Competition for resources determines reproductive success.
a magnetic field is used to suspend a wire of mass 0.05 kg and length 0.18 m . the wire is carrying a current of 13 a . what minimum magnetic-field magnitude is needed to balance the pull of gravity?
0.209T minimum magnetic-field magnitude is needed to balance the pull of gravity.
The weight of the mass suspended is equal the force produced by the current carrying conductor in the magnetic field and this is the force needed to balance the pull of gravity
Fm = mg = BIL................................... Equation 1
Make B the subject of the equation
B = mg/IL.................................. Equation 2
Where B = magnetic Field, m = mass, g = acceleration due to gravity, I = Current, L = Length of the wire.
Given: m = 0.05 kg, I = 13 A, L = 0.18 m,
Constant: g = 9.8 m/s²
Substitute into equation 2
B = (0.05×9.8)/(13×0.18)
B = 0.49/2.34
B = 0.209T
What is magnetic field?The area in which the force of magnetism acts around a magnetic material or a moving electric charge is known as the magnetic field.
In the vicinity of a magnet, an electric current, or a shifting electric field, there is a vector field called a magnetic field where magnetic forces can be seen. Electric charges in motion and the intrinsic magnetic moments of elementary particles connected to the fundamental quantum characteristic known as spin create a magnetic field. As parts of the electromagnetic force, one of the four fundamental forces of nature, magnetic field and electric field are interdependent.
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A string is wrapped tightly around a fixed reel that has a rotational inertia of 0. 0352 kg · m2 and a radius of 12. 5 cm. An object of mass 423 g is attached to the free end of the string. With the string vertical and taut, the object is gently released so it can descend under the influence of gravity. As the object descends, the string unwinds and causes the reel to rotate without friction at its axle. What is the speed of the object after it has fallen 1. 25 m?.
The speed of the object if a string is wrapped tightly around a fixed reel that has a rotational inertia of 0.0352 kg · m² and a radius of 12.5 cm after it has fallen 1.25 m is 1.97 m /s
∑ Fy = m ay
mg - T = ma
m = 423 g = 0.423 kg
g = 9.8 m / s²
( 0.423 * 9.8 ) - T = 0.423 a
4.15 - T = 0.423 a → ( 1 )
τ = F * ⊥d
τ = I α
α = a / r
τ = Torque
F = Force
⊥d = Perpendicular distance
I = Moment of inertia
α = Angular acceleration
a = Tangential acceleration
r = Radius
I = 0.0352 kg m²
r = 12.5 cm = 0.125 m
F * ⊥d = I α
T * r = I a / r
T = I a / r²
T = 0.0352 a / 0.125²
T = 2.26 a → ( 2 )
( 1 ) becomes,
4.15 - 2.26 a = 0.423 a
2.683 a = 4.15
a = 1.55 m / s²
v² = u² + 2 a s
v = Final velocity
u = Initial velocity
s = Distance
u = 0
s = 1.25 m
v² = 0 + ( 2 * 1.55 * 1.25 )
v² = 3.875
v = 1.97 m / s
Therefore, the speed of the object after it has fallen 1.25 m is 1.97 m / s
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a wire with a resistance of 6.0 () is drawn out through a die so that its new length is three times its original length. find the resistance of the longer wire, assuming that the resistivity and density of the material are not changed during the drawing process.
R0 is the original resistance. Thus, R = 9(6.0Ω) = 54 Ω.
Electric current flowing through and potential difference across an electrical component can be used to determine its resistance.
Ohm's Law, which depicts the connection between potential difference, current, and resistance:
V = I R, where V is the potential difference (in volts), V I is the current (in amps), A R is the resistance (in ohms), and
The following equation can be changed to determine the resistance:
R = V ÷ I
According to Ohm's equation, I = V/R, the behaviour of the material may be predicted if the resistance remains constant over a significant range of voltage. The definition above applies to both AC and DC applications of resistors, despite the fact that it deals with DC current and voltage.
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a visitor to a lighthouse wishes to determine the height of the tower. the visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. the period of oscillation is 9.12 s. what is the height of the tower? the acceleration due to gravity is 9.81 m/s 2 . answer in units of m
The height of the tower is 20.68 m
What is simple harmonic motion?Simple harmonic motion or SHM is defined as motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always in the direction of the intermediate position. The acceleration of a particle undergoing simple harmonic motion is given by α(t) = -ω² x(t). where, ω is the angular velocity of the particle.
Using,
T = 2π√(L/g)
Where, T = period of the oscillation
L = Height of the tower
g = Acceleration due to gravity
Make L the subject of the equation
L = gT²/(4π²)
Given: T = 9.12 s
g = 9.8 m/s²
π = 3.14
Substitute into equation 2
L = 9.8(9.12²)/(4×3.14²)
L = m
Hence the height of the tower = 20.68 m
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a 25-ft long crane supported at its lower end by a pin is elevated by a horizontal cable as shown in the figure. a 250-lb load is suspended from the outer end of the crane. the center of gravity of the crane is 10 ft from the pin, and the crane weighs 200 lb. what is the tension in the horizontal cable?
By dividing the applied force by the sine of the angle and multiplying the result by the horizontal component of the tension force.
Explain about the tension force?Any physical object that is in contact with another one can apply forces to that object. Depending on the types of objects in contact, we name these contact forces differently. We refer to the force as tension if a rope, string, chain, or cable is one of the objects applying the force.
The process of pulling water from a well is one of the clearest examples of tension forces. It makes use of a rope that is attached to the pulley with one end and the bucket handle with the other. When this rope is stretched by an external force, tension is produced.
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Can you make connections to how we can maximise the energy we receive from light using the principles learnt?
The energy from the sun can be maximized by the use of a photocell.
How can we maximize the energy from the sun?
We know that energy is the ability to do work. The only source y which energy can be able to enter into the ecosystem is by the energy that comes from the sun. It is the plants that are able to access this energy that comes from the sun and are able to convert it into the form that could be used by living things.
Humans can access the energy that is produced by the sun and then use it to be able to power some devices. This is the origin of the photocells and is a good way to put the solar energy to good use.
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In 1924, edwin hubble proved that the andromeda galaxy lay far beyond the bounds of the milky way, thereby putting to rest the idea that it might have been a cloud within our own galaxy. What key observation enabled him to prove this?.
The key observation enabled Edwin Hubble to prove this by observing individual Cepheid variable stars in Andromeda and applying the period-luminosity relation.
American astronomer Edwin Powell Hubble lived from November 20, 1889, through September 28, 1953. He was a significant contributor to the development of observational cosmology and extragalactic astronomy.
Hubble established that many objects formerly believed to be "nebulae" or clouds of gas and dust, were actually galaxies outside the Milky Way. He scaled galactic and extragalactic distances using the strong direct correlation between a classical Cepheid variable's luminosity and pulsation time, which was found in 1908 by Henrietta Swan Leavitt.
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a 1.1 kg ball swings from a string in a vertical circle such that it has constant sum of kinetic and gravitational potential energy. ignore any friction forces from the air or in the string. what is the difference in the tension between the lowest and highest points on the circle? give a positive answer in n.
The answer is 82.32N
The difference in the tension between the lowest and highest points on the circle is solved here below.
All si units in chapter gravitation, motion, force and laws of motion
..may ik which syllabus u take
a 65-kg boy and a 45-kg girl use an elastic rope while engaged in a tug-of-war on an icy, fricktionless surface. if the acceleration fo the girl toward the boy is 3.0 m/s^2, find the magnitude of the acceleration of the boy toward the girl.
The magnitude of the acceleration of the boy toward the girl was 0.82 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
mass of girl = 45 kg
acceleration of girl = 3 m/s²
F = ma
= 45 × 3
= 135 N
According to newton's third law equal but the opposite force is applied to the boy towards the girl.
135 = 65 × a
a = 135/165
= 0.82 m/s²
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. Movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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an electron and a photon each have a wavelength of 0.200 nm. a. find the momentum and energy of the photon. b. find the momentum and kinetic energy of the electron. ignore relativistic effects for the electron. c. how fast is each one moving?
a. Momentum is 3.315x [tex]10^{-24}[/tex] kg m/s and energy is 6.21KeV.
b. momentum is 3.315x [tex]10^{-24}[/tex] kg m/s and kinetic energy 0.038 KeV.
c. 3.64x [tex]10^{6} m/s[/tex] fast is each one moving.
a. for photon λp = 0.200 nm
Now, λp = [tex]\frac{h}{p_{p} }[/tex]= [tex]p_{p} = \frac{h}{h_{p} }[/tex] = [tex]\frac{6.63\times 10^{-34} }{0.200\times 10^{-9} }[/tex] kgm/s
= 3.315x [tex]10^{-24}[/tex] kg m/s
[tex]E_{P}[/tex] = [tex]P_{p} C[/tex] = 3.315x [tex]10^{-24}[/tex]x 3x [tex]10^{8}[/tex]/ 1.6x [tex]10^{-19}[/tex] eV
= 6.21KeV.
b. λe = 0.200
[tex]P_{e} =[/tex]λ/λe
= 3.315x [tex]10^{-24}[/tex] kg m/s
E = [tex]\frac{P^{2} _{e} }{2m} }[/tex] = [tex]\frac{( 3.315)^{2} }{2\times 9.1\times 10^{-31\times 1.6\times10^{-19} } }[/tex]
= 0.038 KeV
C. [tex]P_{e} = m V_{e}[/tex]
[tex]V_{e} = \frac{P_{e} }{m\\}[/tex]
= [tex]\frac{ 3.315\times 10^{-24} kg m/s}{9.1\times 10^{-31} }[/tex]
= 3.64x [tex]10^{6} m/s[/tex]
What is momentum?Momentum is a quantity used to describe the state of motion of an object with non-zero mass. Thus, an impulse can be applied to any moving object. Since velocity is considered a vector, momentum is also considered a vector. This means that the impulse has a significant magnitude and direction—an impulse indicated by a vector or arrow. For example, if a ball of a certain mass moves with a certain speed, it has momentum. When the ball hits the wall, it stops and thus carries its momentum over the wall. Therefore momentum is always conserved.
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