The gauge factor and sensitivity specification are related because the sensitivity specification can be derived from the gauge factor and nominal resistance of the strain gauge
The gauge factor is a dimensionless quantity that defines the sensitivity of a strain gauge to a change in resistance as a result of mechanical strain. It is defined as the ratio of the change in electrical resistance to the original resistance per unit strain. The gauge factor is a property of the material used in the strain gauge and is typically between 2 and 3 for most metallic strain gauges.
The sensitivity specification of a strain gauge refers to the amount of change in resistance per unit of strain and is typically specified in units of ohms per microstrain. This specification can be derived from the gauge factor and the nominal resistance of the strain gauge. For example, if a strain gauge has a gauge factor of 2 and a nominal resistance of 120 ohms, its sensitivity would be 240 ohms per microstrain.
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unpolarized light of intensity i0 is incident on a polarizer. the transmitted light is then incident on a second polarizer. the axis of the second polarizer makes an angle of to the axis of the first polarizer. what is the intensity of the light transmitted through the second polarizer?
The intensity of the light transmitted through the second polarizer is I₀/4.
What is intensity?
A wave's intensity (I) is calculated by dividing its rate of energy transfer by the surface area over which the energy is dispersed. The rate of energy flow per unit area is, in other words, what intensity is. The quantity per unit area is measured by intensity. The size of waves per unit area is typically described by intensity. The power of a wave per unit of area over time is another way to think of a wave's strength.
What is light?
The electromagnetic radiation known as light is what enables the human eye to see and makes things visible. It can also be described as radiation that can be seen by humans. Light is made up of small energy packets called photons. Light moves in a straight line at all times.
The unpolarized light of Intensity I₀ is incident on a polarizer then a polarized light at intensity I₀/2 comes out.
Intensity of transmitted beam
It=I₀/2cos² 45 from the formula I=I₀cos²θ
It= I₀/2×1/2= I₀/4
Therefore, intensity of the light transmitted through the second polarizer is I₀/4.
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what is the speed of light with a frequency of 2.4 x 1013 1/s? give your answer in m/s.
The speed of light, at a frequency of 2.4 x 1013 1/s, equals 299,792,458 m/s.
The rate at which an object's position shifts in relation to its direction. The SI unit of speed is created when the fundamental quantities of length and time are combined. Meters per second (m/s) is the metric unit of measurement for speed. To measure frequency, one uses hertz. A sound wave's frequency is determined by how many vibrations it creates ( f ). Another way to think about frequency is the quantity of waves that pass a particular spot in a second.
The speed of light is consequently 299,792,458 m/s, or 2.4 x 1013 1/s, in frequency.
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A fly wheel of mass 500kg and radius 1m makes 500 revs/min. Assuming the mass is concentrated along the rim, calculate the energy of the rim
The energy of the flywheel can be calculated using the equation E = [tex]0.5Iw^2[/tex], where I is the moment of inertia and ω is the angular velocity.
For a flywheel with a radius of 1m and mass of 500kg, the moment of inertia is[tex]500 x (1m)^2 = 500 kg-m2.[/tex] The angular velocity is 500 revolutions per minute, which is equivalent to 8.667 rad/s. Plugging these values into the equation gives us [tex]E = 0.5 x 500 x (8.667)^2 = 35,584.7 J.[/tex]
The energy of a flywheel is the energy stored in the kinetic form due to its rotation. It is defined as the product of the moment of inertia and the square of the angular velocity of the flywheel.
The energy stored in the flywheel is proportional to the square of the angular velocity and is also proportional to the moment of inertia. The greater the angular velocity, the more energy is stored in the flywheel.
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Which one of the following is an example of an object with a non-zero kinetic energy? a. The pendulum of a grandfather clock is still. b. A boulder rests at the bottom of a cliff. c. The International Space Station orbits the Earth d. A car rests at the top of a hill. e. A train is parked in a train station.
The example of an object with a non-zero kinetic energy is 'The International Space Station orbits the Earth' The correct option is C.
Kinetic energy is possessed by the objects which are in motion. The bodies at rest and which are in stationary position have zero kinetic energy. The SI units of kinetic energy is joule and CGS unit is erg.
Between things, kinetic energy is transmitted and has the potential to change into other types of energy.
The pendulum of the clock which is still has zero velocity, a boulder resting has zero velocity, car resting has zero velocity, a train parked has zero velocity.
The international space station orbiting the earth is in continuous motion so 'v' is a positive value and kinetic energy value is non-zero.
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When a cannon fires a cannonball, the cannon will recoil backward because the?
When a cannon fires a cannonball, the cannon will recoil backward. It is because the momentum of cannonball and the cannon is conserved.
What is the conservation of momentum?The conservation of momentum principle states that the amount of momentum within a problem domain remains constant; momentum is neither created nor destroyed, but only changed by the action of forces as described by Newton's laws of motion.
p = p′p: the system's initial momentum (total momentum before an event)
p′: the system's final momentum (total momentum after the event)
The total momentum is zero before the cannon is fired. This is due to the fact that neither object is moving. When a cannon is fired, the cannonball accelerates forward and the cannon accelerates backward. As a result, the total momentum of the cannon and cannonball after firing is also zero. Finally, it is obvious that a cannon will recoil backward when a cannon fires a cannonball because the momentum of the cannonball and the cannon is conserved.
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QuestionAccording to the law of conservation of momentum, the total momentum of an isolated system is constant.AFalseBTrue
The statement for law of conservation of momentum given is True.
Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and velocity. Momentum is a vector quantity, meaning it has both magnitude and direction.
The SI unit of momentum is kilogram meter per second (kg m/s). The magnitude of an object's momentum depends on its mass and velocity, and it is directly proportional to both.
The law of conservation of momentum states that the total momentum of an isolated system is constant. This means that the total momentum of all objects in a system remains the same unless an external force acts on the system.
The law of conservation of momentum can be expressed mathematically as:
m1v1 + m2v2 = m1v1' + m2v2'
where m1 and m2 are the masses of the objects, v1 and v2 are their initial velocities, and v1' and v2' are their final velocities after the collision.
The law of conservation of momentum is applicable to both elastic and inelastic collisions, and it is a fundamental principle in classical mechanics. In an elastic collision, both the total momentum and the total kinetic energy of the system are conserved, while in an inelastic collision, the total momentum of the system is conserved but the total kinetic energy is not.
Therefore, The statement for law of conservation of momentum given is True.
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four charges are placed on the vertices of a square and one at its center. using the symmetry of the arrangement, determine the direction of the force on the positive charge
The force experienced by a point charge in an electric field is given by Coulomb's law where F is the force, k is the Coulomb constant, q1 and q2 are the charges, and r is the separation between the charges.
The direction of the force is given by the direction of the electric field at that point, which is proportional to the gradient of the electric potential at that point. In this case, the arrangement of charges is symmetrical, with equal and opposite charges at each vertex of the square and a positive charge at the center. This means that the electric field at the center of the square will be zero, as the forces from each charge will cancel out. Therefore, the positive charge will not experience any net force and will remain stationary.
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an f-35 stealth jet takes off from the aircraft carrier ronald reagan. starting from rest, the jet accelerated with a constant acceleration of 55.3 m/s2 along a straight line on the deck. what is the displacement of the jet when it reaches a speed of 181 m/s? a rock is dropped from a tall building. if the rock starts at rest , and the origin of the coordinate system is taken at the pinnacle of the building with positive direction taken to be upward direction, after 5.18 seconds what is the displacement of the rock? what is the velocity of the rock?
The Displacement of jet and Velocity of the rock is -133 m and -50.6 m/s.
What is Displacement?
Displacement is a measure of the volume of liquid or gas that is moved from one place to another in a given period of time. It is usually expressed in terms of liters per second (L/s). It is a measure of the rate at which a fluid or gas is being moved.
Displacement of Jet:
Displacement = Initial Velocity × Time + (1/2) × Acceleration × Time2
Displacement = 0 m/s × 10 s + (1/2) × 55.3 m/s2 × (10s)2
Displacement = 553 m
Displacement of Rock:
Displacement = Initial Velocity × Time + (1/2) × Acceleration × Time2
Displacement = 0 m/s × 5.18 s + (1/2) × (-9.81 m/s2) × (5.18s)2
Displacement = -133 m
Velocity of Rock:
Velocity = Initial Velocity + Acceleration × Time
Velocity = 0 m/s + (-9.81 m/s2) × 5.18 s
Velocity = -50.6 m/s
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two semiconductor materials have exactly the same properties except material a has a bandgap energy of 0.90 ev and material b has a bandgap energy of 1.10 ev. determine the ratio of n, of material b to that of material a for (a) t 200 k (b) t 300 k. and (c) t 400 k.
Two semiconductor materials have exactly the same properties except material a has a bandgap energy of 0.90 ev and material b has a bandgap energy of 1.10 ev. The ratio of n, of material b to material a is 1/2
Bandgap energy for material A = 0.90 eV
Bandgap energy for material B = 1.10 eV
Calculate the ratio of ni for Material B to Material A
Total derivation ( d ) = d1 + d2
d = A ( μ - 1 ) + A ( μ - 1 ) ---- ( 1 )
where : d = 1° , μ = 1.5 , μ = 1.6
Input values into equation 1 above
1° = 0.5Ac + 0.6Af ---- ( 2 )
also d = d1 [ 1 - w/ w1 ] ------ ( 3 )
∴ d = Ac ( μ - 1 ) ( 1 - w/w1 )
1° = Ac ( 1.5 - 1 ) ( 1 - 0.06/0.1 )
1° = Ac ( 1.5 - 1 ) ( 1 - 0.06/0.1 )
Ac = 5°
we already know Ac so we can resolve equation ( 2 )
0.5Ac + 0.6Af
A = 2.5°
ratio of n = A/ Ac 2.5/5 = 1/2
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what is the typical magnification of the ocular lenses?
The typical magnification of ocular lenses, also known as eyepiece lenses, is usually 10x to 20x. Ocular lenses are a critical component of microscopes, telescopes, and other optical instruments, serving as the lens that is closest to the eye.
The magnification of the ocular lens affects the final magnification of the entire system and determines how much the image is enlarged. The typical magnification of ocular lenses is designed to provide a clear and comfortable view of the subject being observed. However, the magnification of ocular lenses can be customized depending on the intended use of the optical instrument and the user's preference.
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how long is a million seconds
A million seconds by conversion laws equal to approximately 11 days, 13 hours, 46 minutes and 40 seconds.
What are some facts related to million seconds?
A million seconds is a long time, equivalent to almost 11 and a half days.
To put it in context, here are a few historical events that happened in roughly the same time frame:
The first man-made satellite, Sputnik 1, orbited the Earth for 96.2 million seconds before burning up on reentry in 1958.The Cuban Missile Crisis lasted for 13 days, from October 16 to October 28 in 1962.The Watergate scandal that led to President Nixon's resignation took place over several years, from 1972 to 1974.These examples illustrate the magnitude of a million seconds, which is a significant chunk of time in human history.
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one definition of work is force times distance (f x l). if a constant force of 104 dynes acts to move an object by 100 cm, what is the work done in ergs? in joules? in calories
The work done in ergs is 0.0104 joules and 0.002475 calories.
Work can be calculated using the definition of work as force times distance, or W = F * d, where
W is the work done,
F is the force,
d is the distance moved.
Given a constant force of 104 dynes acting to move an object by 100 cm, we can calculate the work done as follows:
W = F * d = 104 dynes * 100 cm
= 10,400 dyne cm = 10,400 g cm cm.
One erg is defined as the amount of energy required to move a force of one dyne over a distance of one centimeter, so the work done in ergs is equal to the work done in dyne cm, or 10,400 ergs.
One joule is equal to 10^7 ergs,
so the work done in joules is 10,400 ergs / 10^7 ergs/joule = 0.0104 joules.
One calorie is defined as the amount of energy required to raise the temperature of 1 gram of water by 1 degree Celsius, and is approximately equal to 4.184 joules. Therefore, the work done in calories is 0.0104 joules / 4.184 joules/calorie = 0.002475 calories.
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Question 1 (2 points) Psychology is defined as: study of the brain ? study of behavior and mental processes ? study of animals ? study of biology and philosophy ?
Psychology is defined as the study of the brain in order to understand human behaviors.
What is the Psychology science research field?The psychology science research field is a discipline aimed at understanding human behaviors and emotions by analyzing the functioning of the brain, which is the major organ in the nerve system responsible for modulating these types of functions.
Therefore, with this data, we can see that Psychology is a specific science research field related to understanding human behaviors and feelings by analyzing how the different parts of the brain are associated with this process.
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Answer: Psychology is the organized study of behavior and the mental processes that occur with it
Explanation:
Took the K12 test
What is the direction of the force F⃗ on the −10 nC charge in (Figure 1)? Give your answer as an angle measured cw or ccw (specify which) from the +x-axis. Express your answer in degrees. Enter a positive value if the angle is counterclockwise and negative value if the angle is clockwise.
The direction of the force is 135° counterclockwise from the +x-axis.
This can be calculated using Coulomb's Law:
[tex]F = k\frac{q1q2}{r^{2}}[/tex] , where F is the force, k is the Coulomb's constant (8.99e9 N m2/C2), q1 and q2 are the two charges, and r is the distance between them. In this case, q1 = 10 nC and q2 = -10 nC, and r = 0.3 m.
[tex]F = \frac{8.99e9 N m2/C2 * (10 nC * -10 nC) }{ (0.3 m)^{2}}[/tex]
[tex]= -2.997e7 N[/tex]
Using the formula Fy = Fsin(θ), the y-component of the force is Fy = -2.997e7 N * sin(135°) = -2.997e7 N. The direction of the force F⃗ on the -10 nC charge is 135° counterclockwise from the +x-axis. Therefore, the direction of the force is 135° counterclockwise from the +x-axis.
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10. An explosion causes the cars to move apart from each other. According to the diagram
below, what is the speed of each of the cars as they move away from each other?
Before explosion
P total=0
After explosion
p to the left=20
p to the right=20
p total=0
They advance in opposite directions at an equal rate.
What type of collision is an explosion?An uncommon variety of collision is an explosion. Perfectly inelastic collision that appears to occur in reverse. Each object is glued to the others before the 'collision'.
When two objects of equivalent mass move at the same speed toward one another, they eventually cling together. The two objects stick together after colliding and come to rest, conserving momentum but not kinetic energy.
Because both objects' total momentum before and after the collision is equal, momentum is conserved. Kinetic energy is not conserved, though. Sound, heat, and object deformation are produced by some of the kinetic energy. A collision involving a fast-moving car is an inelastic collision.
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while going on a straight highway, you see a deer come suddenly on the road, and you press the brakes to stop the car. if your speed in 50 miles per hour, then to stop the car in a distance 70 m, what must be your acceleration?
The required acceleration to stop the car in 70 meters while going at 50 miles per hour is approximately 7.95 m/s².
The distance it takes to stop a moving car can be calculated using the formula:
d = v² / (2 x a)
where d is the stopping distance, v is the initial velocity (in this case, 50 miles per hour), and a is the acceleration.
Rearranging this formula to solve for acceleration
a = v² / (2 x d)
Substituting the given values:
a = (50 miles/hour)² / (2 x 70 m)
First, the velocity must be converted to meters per second:
v = 50 miles/hour x 1609.34 m / 3600 s
= 22.352 m/s
a = (22.352 m/s)² / (2 x 70 m) = 22.352² / (2 x 70)
= 7.95 m/s²
So the required acceleration to stop the car in 70 meters while going at 50 miles per hour is approximately 7.95 m/s².
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a car traveling at 15.0 m/s accelerates at 3.0 m/s2. how long will it take the car to reach a speed of 30.0 m/s?
It will take the car 5.0 seconds to reach a speed of 30.0 m/s from its initial speed of 15.0 m/s with an acceleration of 3.0 m/s2.
What is velocity?Velocity is a physical quantity that represents the rate of change of an object's position in a particular direction. It is a vector quantity and is defined as the derivative of the object's displacement with respect to time.
The formula for final velocity (V) after accelerating for time (t) at acceleration (a) is given by:
V = V0 + a × t
Here, the initial velocity (V0) is 15.0 m/s and the acceleration (a) is 3.0 m/s2. To find the time it takes to reach the final velocity of 30.0 m/s, we can rearrange the formula as follows:
t = (V - V0) / a
Plugging in the values, we get:
t = (30.0 - 15.0) / 3.0 = 5.0 seconds
Therefore, it will take the car 5.0 seconds to reach a speed of 30.0 m/s from its initial speed of 15.0 m/s with an acceleration of 3.0 m/s2.
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A hacky sac hits the wall with an impulse of 5 kgxm/s and a collision time of 0.3 s. What is the impact force?
a. 0.23 N
b. 0.06 N
c. 17 N
d. 0.06
e. 17kgxm/s
The impact force is 0.23 N.
What is the impact force?An impact force is a force that causes a shock or a high impact in a short period of time. It happens when two things collide. This collision occurs when one object falls onto, or slams into, another object. This collision causes a shock because energy is transferred to the impacted entity (s).
v = m/s. The kinetic energy immediately preceding impact equals the gravitational potential energy at the height from which it was dropped: K.E. = J.
A car weighing 2000 kg travels at 60 km/h (16.7 m/s) before collapsing into a massive concrete wall. The front of the car makes a 0.5 m impact (the deformation distance). The force of the impact is 28 times that of gravity.
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How to make a lol diagram?
LOL diagrams are indeed a means to show how the electricity is collected in the system or process at different points in time as well as any changes in the system's overall energy.
Describe energy.Scientists refer to energy as the ability to work. Human civilization is feasible because people have learned how to change energy from one type to another and then use it to complete activities. There are many different kinds of energy, including electrostatic, chemical, nuclear, acoustical, light, heat, musculoskeletal, electrical, as well as nuclear energy.
Why is energy such a big deal?Modern medical technologies, automobiles, computers, and a plethora of things are all fueled by energy. Particularly urgent is the need for affordable, reliable energy in rising economies. It might even save a person's life.
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Find an equation for the surface consisting of all points p for which the distance from p to the x-axis is twice the distance from p to the yz-plane.
z = 2(x² + y²) is an equation for the surface consisting of all points p for which the distance from p to the x-axis is twice the distance from p to the yz-plane.
This equation represents a surface consisting of all points p for which the distance from p to the x-axis is twice the distance from p to the yz-plane. To understand this equation, it is helpful to consider the x-axis and the yz-plane as two distinct points in space. The distance from p to each of these points is simply the length of the line segment from p to each of the two points.
The equation states that the distance from p to the x-axis should be twice the distance from p to the yz-plane. This can be expressed mathematically by setting the distance from p to the x-axis equal to twice the distance from p to the yz-plane. This can be represented as a formula, z = 2(x² + y²), which is the equation for the surface. The x and y coordinates of a point p determine its distance from the x-axis and yz-plane, respectively, so these coordinates are squared and added together to get the equation.
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Calculate the impulse experienced when a 55-kg person lands on firm ground after jumping from a height of 2.8 m.?
The impulse experienced when a 55 kg person lands on firm ground after jumping from a height of 2.8 m is calculated to be 407.55 kg m/s.
Impulse is nothing but the term used to describe the effect of force acting over time to change the momentum of an object.
The mass of the person is given as 55 kg.
The height from which the person is jumping is 2.8 m.
The velocity before reaching the ground vf = √(2 g h) = √(2× 9.81 × 2.8) = 7.41 m/s
The impulse required to come to rest is calculated as, J = m × vf = 55 × 7.41 = 407.55 kg m/s
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calculate the mass of an iron-ore sample (in kilograms) that weighs 64.5 pounds.
The mass of the iron-ore sample is approximately 29.2054 kilograms.
To convert from pounds to kilograms, divide by 2.20462.
64.5 pounds / 2.20462 = 29.2054 kilograms
So the mass of the iron-ore sample is approximately 29.2054 kilograms.
Mass is a measure of the amount of matter contained in an object. It is defined as the amount of material that makes up an object and is usually measured in kilograms (kg) or grams (g). The mass of an object does not change with its location or the surrounding environment, and is a scalar quantity. Mass is different from weight, which is the force exerted by an object due to gravity and is dependent on the location and the gravitational pull of the object. The mass of an object can be determined by measuring its weight and knowing the acceleration due to gravity. The concept of mass is crucial in many fields, including physics, engineering, and chemistry.
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the inner and outer surface temperatures of a glass window 5 mm thick are 15 and 5ºc. what is the heat loss through a 1 m × 3 m window? the thermal conductivity of glass is 1.4 w/m.k.
The following equation may be used to determine heat loss via a glass window: Q = k * A / (T1 - T2) where Q denotes heat loss The thermal conductivity of glass.
(in W/m.K) is given by k. A denotes the window's surface area (in m2). T1 is the temperature of the inner surface (in degrees Celsius). T2 is the temperature of the outer surface (in degrees Celsius).The following equation may be used to determine heat loss via a glass window: Q = k * A / (T1 - T2) where Q denotes heat loss The thermal conductivity of glass. The thickness of the glass is denoted by d. When we plug in the values, we get: Q = 1.4 * (1 * 3) * (15 - 5) / 0.005 Q = 1.4 * 3 * 10 / 0.005 Q = 1.4 * 600 / 0.005 Q = 840 / 0.005 Q = 168000 W As a result, the heat loss through a 1 m 3 m glass window with a 5 mm thickness and a temperature differential is 10 °C is equal to 168000 W.
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consider a 1400-kg car cruising at constant speed of 70 km/s. now the car starts to pass another car, by accelerating to 110 km/h in 5 s. determine the additional power needed to achieve this acceleration. what would your answer be if the total mass of the car were only 700 kg?
So, the additional power required would be halved if the mass of the car was reduced to 700 kg.
To determine the additional power needed to achieve this acceleration, what is the equation used ?
P = m * a * v
Where P is power, m is mass, a is acceleration, and v is velocity.
First, we need to convert the speed from km/h to m/s:
110 km/h = 30.55 m/s
Next, we can find the acceleration by using the formula:
a = (vf - vi) / t
Where vf is the final velocity, vi is the initial velocity, and t is the time taken to achieve the acceleration.
a = (30.55 m/s - 70 km/h) / 5s = -13 m/s^2
For a 1400-kg car, the additional power required can be calculated as:
P = 1400 kg * -13 m/s^2 * 30.55 m/s = - 509,130 Watts
If the total mass of the car were 700 kg, the additional power required would be:
P = 700 kg * -13 m/s^2 * 30.55 m/s = - 254,565 Watts
So, the additional power required would be halved if the mass of the car was reduced to 700 kg.
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which of the following levers would be best to use to move a specific object if your only objective was speed of the object's movement? a third-class lever with a resistance arm of 20 and a force arm of 10 each lever would be just as effective as the others. a second-class lever with a resistance arm of 10 and a force arm of 20 a first-class lever with a resistance arm of 10 and a force arm of 10
A first-class lever with a resistance arm of 10 and a force arm of 10 should be used.
Levers are the most basic machines which are used to do some work with minimal effort. A lever amplifies an input force to provide a greater output force, which is said to provide leverage. First Class: This is a type of lever which has the fulcrum in between the weight and the force applied. Its order is represented as force-fulcrum-weight. This is the most basic type of lever.Second Class: In this, the fulcrum is at one end and the force applied is on the other end. The weight is situated in the middle of these two. The order of this would be fulcrum-weight-force. The application of force at one end will result in some work done on the other end.Third Class: These are the levers in which the fulcrum is at one end and the force is applied in the middle and the weight is on the other end. The order is represented as a weight-force-fulcrum. In this case, we have to apply more energy to displace the weight to a longer distance.To know more about levers visit:
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in which way is the position reported by the wheel sensor indicating direction of motion? what happen when you rotate the iolab around (lift it up, do a 180 degree rotation and put it back down and roll)?
The wheel sensor reports the position in terms of relative change in the wheel's movement.
What is sensor?A sensor is a device that detects or measures a physical property and records, indicates, or otherwise responds to it. Sensors are used in everyday objects such as touch-sensitive elevator buttons and lamps which dim or brighten by touching the base, besides countless applications in science and industry.
This means that if the wheel is rotating clockwise, the wheel sensor will report a positive value. Conversely, if the wheel is rotating counter-clockwise, then the wheel sensor will report a negative value.
If you rotate the IOLab around (lift it up, do a 180 degree rotation and put it back down and roll), then this will result in a change in the wheel's direction of motion. The wheel sensor will now report the opposite direction of the wheel's motion, i.e. a positive value if the wheel is rotating counter-clockwise, and a negative value if the wheel is rotating clockwise.
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how fast must a nonrelativistic electron move so its de broglie wavelength is the same as the wavelength of a 3.4-ev photon? (mel = 9.11 × 10−31 kg, c = 3.00 × 108 m/s, 1 ev = 1.60 × 10−19 j)
B) 1900 m/s.The nonrelativistic electron must move at a velocity of [tex]1900m/s[/tex]
The de Broglie wavelength of a particle with mass m and velocity v is given by λ =[tex]\frac{ h}{mv}[/tex], where h is Planck's constant ([tex]6.63 * 10^{-34 }Js[/tex]). The wavelength of a 3.4-eV photon is
λ = hc/E
[tex]\frac{hc}{E} = \frac{6.63 *10^{-34} Js * 3.00 * 10^{8 }m/s} {1.60 * 10^{-19} J }\\ = 7.89 * 10^{-7} m.[/tex]
Plugging in the mass of the electron (9.11 x 10-31 kg) and solving for the velocity, we get
v = h/mλ
[tex]\frac{6.63 x 10-34 Js}{(9.11 x 10-31 kg x 7.89 x 10-7 m)} \\\\= 1900 m/s.[/tex]
Therefore, the nonrelativistic electron must move at a velocity of 1900 m/s in order for its de Broglie wavelength to be the same as the wavelength of a 3.4-eV photon.
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complete question: How fast must a nonrelativistic electron move so its de Broglie wavelength is the same as the
wavelength of a 3.4-eV photon? (mel = 9.11 × 10-31 kg, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)
A) 1700 m/s B) 1900 m/s C) 2000 m/s D) 1600 m/s E) 1400 m/s
A 75-kg fisherman in a 125-kg boat throws a package of mass m=15kg horizontally towards the right with a speed of Vi =4.5 m/s. Neglecting water resistance ,and assuming the boat is at rest before the package is thrown ,find the velocity of the boat after the package is thrown.
The correct answer is 0.37 m/s to the left
Momentum is conserved. Initial momentum = final momentum.
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
Initially, both the fisherman/boat and the package are at rest.
0 = m₁ v₁ + m₂ v₂
Plugging in values and solving:
0 = (82 kg + 112 kg) v + (15 kg) (4.8 m/s)
v = -0.37 m/s
The boat's velocity is 0.37 m/s to the left.
What is momentum?
Instigation, the product of a flyspeck's mass and its haste. instigation is a vector volume; i.e. it has both magnitude and direction. Isaac Newton's alternate law of stir countries that the time rate of change of instigation is equal to the force acting on the flyspeck. See Newton's laws of stir.To know more about momentum, click the link given below:
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The velocity of the boat after the package is thrown is 0.37 m/s to the left.
What is momentum?
Momentum is a quantitative measure of the speed and magnitude of price changes of a security over a given period of time. It is usually expressed as a rate of change, such as a percentage or ratio. Momentum can be used to identify trends and to measure the strength of a given trend. Momentum can also be used to signal when a trend is likely to reverse.
Instigation, the product of a flyspeck's mass and its haste. instigation is a vector volume; i.e. it has both magnitude and direction.Isaac Newton's alternate law of stir countries that the time rate of change of instigation is equal to the force acting on the flyspeck. See Newton's laws of stir.
Momentum is conserved. Initial momentum = final momentum.
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
Initially, both the fisherman/boat and the package are at rest.
0 = m₁ v₁ + m₂ v₂
Plugging in values and solving:
0 = (82 kg + 112 kg) v + (15 kg) (4.8 m/s)
v = -0.37 m/s
The boat's velocity is 0.37 m/s to the left.
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why does the color of stars help scientists to know the temperature of stars?
The wavelength of photons emitted by a star depending on its temperature increase.
What is the temperature answer?The total kinetic energy of the system is measured by its temperature. The kinetic energy of a system starts to rise as the particle's velocity increases, which raises the system's temperature. The energy that is transferred when two bodies with different surface temperatures come in touch is referred to as heat.
How is temperature used in science?The term "temperature" refers to a measurement of an object's average kinetic energy, which is a category of energy linked to motion and used to describe how hot or cold an object is.
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in the relation f = il x b, which pairs of the vectors are always at 90
In the relationship f = il x b, the vectors f and b are always at a 90-degree angle. This is because f stands for the magnetic force that a current-carrying wire experiences, and b for the magnetic field.
The right-hand rule states that your fingers will curl in the direction of the magnetic field when your right hand's thumb points in the direction of the current (il) (b). As a result, the two vectors are at a 90-degree angle. When f = il x b is used, the vectors f and b are always at a 90-degree angle. This is because f denotes the magnetic force felt by a current-carrying wire and b denotes the magnetic field. Electric motors, generators, and transformers all employ this connection between magnetic force and magnetic field, which is a fundamental idea in electromagnetism.
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