If he passes the ball with a velocity vector v BP relative to himself, and v BP has a value of 7 m/s, then the least angle it can have is 32.5 °.
A player runs at a speed relative to field is v1 = 5.9 m/s
A player runs at a speed relative to himself is v2 = 7 m/s
v = v_1 +v_2
= 5.9 m/s + 7.0 m/s
= 12.9 m/s
smallest angle by which the player hits the ball is θ = cos^-1 ( 5.9 / 7.0)
= 32.5 degrees
Velocity is the rate at which an object is changing position when it is observed from a certain point of view and as measured by a particular unit of time. It is defined as the direction at which an object is traveling. Speed is the rate of movement along a path in contrast to velocity, which specifies the direction and speed of an object's motion.
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a 0.140-kg baseball is dropped and reaches a speed of 2.40 m/s just before it hits the ground and bounces. it rebounds with an upward velocity of 1.40 m/s. what is the change of the ball's momentum during the bounce?
The ball's change in momentum on the bounce will be "0.308 kg.m/s."
How does the momentum of the ball change when it bounces?Since linear momentum is mv, it varies with each bounce by the same quantity, r = R. For instance, if a ball bounced 80% of its height each time, it would lose 20% of its energy.
Velocity and Motion
The answer is that the mass of a baseball is m = 0.140 m.
-1.20 m/s is the downward speed.
Upward speed, v "= 1 m/s
Since we are aware of the momentum, P = mv
The force acting downward is: = mv'
When the data are put together, Pv = 0.140 (-1.20) Pv = -0.168 kg.m/s
The forward motion is now: = mv "Pv = 0.140 kg/s/s Pv = 0.140 kg/s/s
Therefore, the modification will be: = 0.140 - (-0.168)
Pv-Pu = 0.308 kg/m/s
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A point charge, q1, of 2.00 μC is placed on the x-axis at (−4.00 cm, 0 cm). An identical charge, q2, is placed at (4.00 cm, 0 cm). Find the total electric potential due to these charges at the following locations. Use kC = 8.99 × 109 N∙m2/C2.
Locations (located below)
Q#1: The center (0,0)
Q#2: On the Y-axis
Y=-10.0 cm
Y=-2.0 cm
Y=2.0 cm
Y=10.0 cm
Q#3 On the X-axis
X=-10.0 cm
X=-2.0 cm
X=2.0 cm
X=10.0 cm
Q#4: Find the electric potential at the center of a square with four point charges
q1, q2, q3, q4, placed at (5.00 cm, 0 cm), (0 cm, 5.00 cm), (−5.00 cm, 0 cm), and (0 cm, −5.00 cm), respectively, for the following cases.
A. q1 = q2 = q3 = q4 = 3.00 μC
B. q1 = q3 = 3.00 μC; q2 = q4 = −3.00 μC
C. q1 = q2 = 3.00 μC; q3 = q4 = −3.00 μC
The total electric potential due to these charges at the center is 9 * 10^5 J/C.
How do you calculate potential due to charge?By multiplying K, the electric constant, by one charge, then by the other charge, and finally by the distance between the two charges, we may determine the electrical potential energy between two charges.A point charge's electric potential is V=kQ/r, or V = k Q / r. Electric field is a vector while electric potential is a scalar. The voltage resulting from a combination of point charges can be calculated by adding voltages as integers, whereas the overall electric field can be calculated by adding individual fields as vectors.V = k × [q/r]
V = electric potential energy.
q = point charge.
r = distance between any point around the charge to the point charge.
k = Coulomb constant; k = 9.0 × 10^9 N.
at The center (0,0)
r = 4 cm
due to Q1
v1= k ( 2.00 μC/ 4 * 10^-2) = 9.0 × 10^9 * 0.5* 10^-4 =4.5 * 10^5 J/C
due to Q2
v2 = k ( 2.00 μC/ 2 cm) = 9.0 × 10^9 * 1* 10^-4 =4.5 * 10^5 J/C
total potential at (0.0) = 9 * 10^5 J/C
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you are merging onto the freeway, accelerating at a constant rate of 14 ft/sec2 from a stand still. how long (in sec) does it take you to reach merging speed at 70 mph? (round your answer to three decimal places.)
It take to reach merging speed at 70mph is 10.6 s
How long does it take to reach merging speed at 70mph?You should be travelling at or close to the speed of the oncoming traffic when merging into the motorway. It's acceptable if you move a little more slowly, but the goal is to prevent traffic congestion. To increase your speed and enable a seamless traffic merge, take use of the time you have on the ramp or in the merging lane.
Step one:
given data
acceleration, a= 14ft/sec^2
final velocity v= 70mph
first, let is convert mph to ft/sec
1mph is 1.46667 ft/sec
70 mph is x
cross multiply we have
x= 102.7ft/s
Step two:
we are using the first equation of motion
v=u+at
initial velocity u= 0m/s
102.7=0+14*t
102.7=14t
divide both sides by 10
t=10.6seconds
Therefore It take to reach merging speed at 70mph is 10.6 s
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A pendulum consists of a small object of mass M and width d attached to a string of length L. In an experiment, the pendulum is pulled back so that the string makes an angle θ with the vertical and is released from rest. The object's path is shown by the dashed arc, and its velocity is determined by measuring the time t it takes the object to pass through a photogate located at the lowest point in the path. The speed v is then calculated by dividing d by t. Given θ and L, the object's kinetic and potential energies are calculated and compared. Which of the following sources of experimental error could cause the calculated kinetic energy of the object at the bottom of the path to be larger than the calculated value for the change in gravitational potential energy of the object-Earth system as the object moves from its release point to the lowest point in its path?
A) The measurement of L is larger than the actual value.
B) The measurement of θ is larger than the actual value.
C) Air resistance is ignored.
D) The measurement of d is larger than the actual value.
E) The measurement of M is larger than the actual value.
The source of experimental error that could cause the calculated kinetic energy of the object at the bottom of the path to be larger than the calculated value for the change in gravitational potential energy of the object-Earth system as the object moves from its release point to the lowest point in its path is "The measurement of d is larger than the actual value".
option D is the correct answer.
What is the kinetic energy of an object?
The kinetic energy of an object is the energy possessed by the object due to the motion of the object at a given time period.
Mathematically, the formula for kinetic energy of an object is given as;
K.E = ¹/₂mv²
Where;
m is the mass of the objectv is the speed of the objectFrom the equation given above, the kinetic energy of an object depends on the mass and velocity of the object.
If the speed v of the object is then calculated by dividing d by t, then error is from the speed calculated, and implies that the main error is the width d, from which the speed is calculated.
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what is alpha decay in physics
Alpha particles have a charge +2e decay is far and away from the foremost common sort of cluster decay, where the parent atom ejects an outlined daughter collection of nucleons, leaving another defined product behind. Like in case of other cluster decays, Alpha decay is also a fundamentally quantum tunnelling process.
Understanding Q Value in Alpha Decay:
In Physics, the Q-value is defined as the difference between the sum of the rest masses of original reactants and the sum of final product of masses. In simpler terms, we can say that the Q-value is the difference between the final and initial mass energy of the decayed products.
For the alpha decay equations, this Q-value is,
Q = (mX – mY – mHe) c2 (he-helium)
The energy Q derived from this decay is divided equally into the total transformed nucleus and the Helium nucleus.
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Answer: alpha decay, type of radioactive disintegration in which some unstable atomic nuclei dissipate excess energy by spontaneously ejecting an alpha particle.
Explanation:
FILL IN THE BLANK. A set of points in the xy-plane is the graph of a function if and only if every ______ line intersects the graph in at most one point.
"A set of points in the xy - plane is the graph of a function if and only if every vertical line intersects the graph in at most one point."
A line that is perpendicular to the surface is the vertical line. In coordinate geometry, the vertical lines are frequently parallel to the y-axis, perpendicular to the horizontal lines, and vice versa. A vertical line is any straight line that passes from top to bottom or from bottom to top.
The vertical lines are sometimes known as standing lines. Normally, we connect the bases of a square or a rectangle using vertical lines. In our daily lives, we encounter vertical lines in the form of fence bars made of steel, tall trees that stand straight up, table legs, etc. Let's explore it further with a few concrete instances.
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what quantities in your calculation for standing wave frequencies would change by the addition of a small amount of weight to the mass hanger? if your standing wave goes away from this added mass, how would you restore it?
The fundamental frequency, which is also known as the instrument's first harmonic, is the lowest pitch that every instrument can play.
Is the lowest frequency the first harmonic?The fundamental frequency is the lowest frequency that can be produced by a certain instrument.A first harmonic of a instrument is another name for the fundamental frequency.
What frequency is the first harmonic?The fundamental frequency is another name for the first harmonic.It is the frequency's lowest attainable value.Simply said, the term "first harmonic" refers to a wave that consists of simply two nodes and an antinode.
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Please help even one answer appreciated :)
An object's momentum may be calculated mathematically by multiplying its mass by its velocity. Mass plus velocity equals momentum.
Why is momentum calculated?Mass in motion, which is related to the mass of a moving body, is the straightforward definition of momentum. By multiplying the mass with the velocity, the amount of motion is calculated. Momentum is defined as the result of multiplying mass and velocity.
According to a mathematical formula, an object's momentum is determined by multiplying its mass by its speed. Mass multiplied by velocity equals momentum. Momentum is represented by the lower case letter p in physics. As a result, p = m • v may be used to rewrite the previous equation.
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How do you measure the strength of a magnet?
Measurements of magnet strength can be made in a variety of ways, depending on which is most practical for a given application. Here are a few popular units for measuring magnet strength.
Different methods to measure strength of magnet?1. Tesla
The unit of magnetic force denoted by the letter T is called a tesla. It describes the residual flux density, or the density of a magnetic field.
There are numerous methods to define a tesla in terms of other scientific units of measurement. For instance:
T = kg / (A * s2)
2. Gauss
A magnet is frequently made magnetic by the application of an external magnetic force. The magnetic force that remains in the magnet after the removal of the external force is referred to as remanence.
3. Oersted
Oersteds (Oe), are units used to quantify resistance to demagnetization or coercivity.
4. kilograms
Magnet pull strength is measured in kilograms in terms of magnetism.
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A change of phase takes place at a constant?
a. heat.
b. volume.
c. temperature
d. pressure.
"A change of phase takes place at a constant temperature."
A substance changing its phase by a physical process is called a phase change. The shift often happens when heat is applied or removed at a specific temperature, also referred to as the substance's melting or boiling point.
Both when the system receives enough energy and when the pressure on the system changes, these changes take place.
The energy that is given during a change in the state of matter is used to alter the binding energies rather than boost the kinetic energy of the molecules. As a result, the temperature doesn't change.
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Work out the current flowing when charge is transferred at a rate of:
a) 4.5 C every second
b) 192 C per minute
c) 16.56 kC an hour
d) 1.8 C every 0.6 s
e) 3.2 C every 1.6 s
f) 33.8 C every 2.6 s
g) 147.2 C every 23 s
h) 7920 C every 15 minutes
i) 900 C every half an hour
The current flowing when the charge is transfered at different rates are:
A. 4.5 A4.5 A
B. 3.2 A
C. 4.6 A
D. 3 A
E. 2 A
F. 13 A
G. 6.4 A
H. 8.8 A
I. 0.5 A
How do I determine the current?We know that charge, current and time are related by the following formula:
Charge (Q) = Electric current (I) × time (t)
Q = It
Divide by t
I = Q / t
With the above formula, we can obtain the current. Details below:
A. How do I determine the current?
Charge (Q) = 4.5 CTime (t) = 1 sCurrent (I) = ?I = Q / t
I = 4.5 / 1
I = 4.5 A
B. How do I determine the current?
Charge (Q) = 192 CTime (t) = 1 min = 60 sCurrent (I) = ?I = Q / t
I = 192 / 60
I = 3.2 A
C. How do I determine the current?
Charge (Q) = 16.56 KC = 16.56 × 1000 = 16560 CTime (t) = 1 h = 1 × 60 × 60 = 3600 sCurrent (I) = ?I = Q / t
I = 16560 / 3600
I = 4.6 A
D. How do I determine the current?
Charge (Q) = 1.8 CTime (t) = 0.6 sCurrent (I) = ?I = Q / t
I = 1.8 / 0.6
I = 3 A
E. How do I determine the current?
Charge (Q) = 3.2 CTime (t) = 1.6 sCurrent (I) = ?I = Q / t
I = 3.2 / 1.6
I = 2 A
F. How do I determine the current?
Charge (Q) = 33.8 CTime (t) = 2.6 sCurrent (I) = ?I = Q / t
I = 33.8 / 2.6
I = 13 A
G. How do I determine the current?
Charge (Q) = 147.2 CTime (t) = 2.6 sCurrent (I) = ?I = Q / t
I = 147.2 / 23
I = 6.4 A
H. How do I determine the current?
Charge (Q) = 7920 CTime (t) = 15 mins = 15 × 60 = 900 sCurrent (I) = ?I = Q / t
I = 7920 / 900
I = 8.8 A
I. How do I determine the current?
Charge (Q) = 7920 C
Time (t) = half hour = 30 mins = 30 × 60 = 1800 s
Current (I) = ?
I = Q / t
I = 900 / 1800
I = 0.5 A
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What are the 3 types of genetics?
Single-gene, chromosomal, and multifactorial genetic illnesses can be grouped into these three main categories.
What three genetic principles underlie evolution?Three factors lead to evolution through natural selection: variation among individuals within a species, heritable variation, and an overpopulation of organisms relative to available resources.
What is genetics, and why is it significant?The role that certain genes or gene families play in health and disease is the primary focus of genetic study. Understanding genetic influences and genetic anomalies is necessary to advance health promotion and disease prevention. The study of genetics covers how a person inherits traits from their parents. It explains how features that are straightforward like eye color or complex like disease vulnerability run in families.
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A car starts at rest and travels 100 m in 5 seconds. What is the car's acceleration?
Answer:
[tex]4 m/s^{2}[/tex]
Explanation:
You can use the formula a = (v2 - v1)/t, where a is the acceleration, v1 is the initial velocity, v2 is the final velocity, and t is the time interval.
In this case, v1 is 0 m/s (since the car starts at rest) and v2 is the final velocity of the car after it travels 100 m in 5 seconds. You can use the formula v = d/t to find the final velocity, where v is the velocity, d is the distance traveled, and t is the time taken. Plugging in the given values, you get:
v = d/t
= 100 m / 5 s
= 20 m/s
Now you can plug in the values for a, v1, v2, and t into the formula to find the acceleration:
a = (v2 - v1)/t
= (20 m/s - 0 m/s)/5 s
= [tex]4 m/s^{2}[/tex]
What was the sonar originally invented to track?
Answer:
SONAR is short for Sound Navigation And Ranging. One of the earliest SONAR-like devices was invented by naval architect Lewis Nixon in 1906. It was designed to detect icebergs underwater to help ships navigate around them. This detection system became more important after the sinking of the in 1912.
Explanation:
What is the order and degree of differential equation Mcq?
The order of a differential equation is the order of the highest derivative appearing in it.
The degree of a differential equation is the power of the highest derivative occurring in it, after the Equation has been expressed in a form free from radicals as far as the derivatives are concerned.
What is a differential equation?
A differential equation is one that contains derivatives that are either partial derivatives or ordinary derivatives. The derivative represents the rate of change, and the differential equation describes the relationship between a quantity that is constantly changing with respect to a change in another quantity. There are many differential equation formulas to find solutions to derivatives.To know more about differential equation, click the link given below:
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a proton located at the origin is accelerated in the -y direction for a brief time.(a) how much time passes before a detector located at <0.2, 0, 0> m detects a radiative electric field? s(b) what is the direction of the radiative electric field observed at this location?---select---(c) if the accelerated particle had been an electron instead of a proton, what would have been the direction of the radiative electric field at this location?---select---
The x axis supports a proton and an electron. At x = -d, the proton is located, while at x = +d, the electron.
What does a proton and electron collectively mean?One of the three main types of particles within an atom is an electron that is bonded to it; the other two are protons and neutrons. The nucleus of an atom is made up of electrons, protons, and neutrons together. The positive charge of a proton balances the negative charge of an electron.
What is electron and proton with example?Electrons are incredibly light, negatively charged particles. These electrons move in distinct orbits around the nucleus. (ii) Protons have a mass of roughly 1 amu and are positively charged particles. These positively charged particles can be found in the nucleus, which sits in the center of the atom.
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what is meant by force of an vehicle is 500000 N?
The force on the vehicle is 500000 N means that a force of 500000 N is being applied to the vehicle and its momentum is changing at a rate of 500k kg m/s²
Well, we all know Force is equal to the product of mass and acceleration. Force is nothing but, a measure of the rate of change of momentum of an object. When we say the force acting on any particle is x newtons, we mean that the particle is accelerating at x/m meter per square second at that instant (where m is the mass of the particle). In this case, we have been given that the force applied on the vehicle is 500000 newtons. 500000 newtons can be also written as 500k Newtons. So when we are applying a force of 500k Newtons on the vehicle, in this case, we can't really find the acceleration of the vehicle as no mass is given. But we can tell one thing here, that is, a force of 500k Newtons on the vehicle means that at that particular instant the rate of change of momentum is
500k kg m/s².
So, basically, a force of 500k Newtons means that the rate of change of momentum is 500k kg m/s².
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how much work is done on a vacuum cleaner pulled 5 m by a force of 62n at an angle of 30 degrees above the horizontal
The work done by the vacuum cleaner which produced a force of 62 N is 268.77 J
The force produced by the vacuum cleaner = 62 N
The distance traveled by the vacuum cleaner = 5 m
The angle at which the vacuum cleaner is kept = 30°
The work done by the vacuum cleaner can be found using the formula,
W = Fdcosθ
where W is the work done
F is the force
d is the distance traveled
θ is the angle at which the vacuum cleaner is kept
Let us substitute the known values in the above equation, we get
W = 62 x 5 x cos 30°
= 310 x 0.867
= 268.77 J
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which has more energy, light with a wavelength of 580 nm or light with a wavelength of 660 nm?
There is more energy with the light of wavelength 580 nm compared to 660nm as energy is inversely related to wavelength.
The energy of a radiation type is inversely proportional to its wavelength. This means energy increases with decreases in wavelength, and energy decreases with increases in wavelength. The relation between energy, wavelength, and frequency is shown by the equation E = hν = hc/λ.
where
E = energy,
h = Planck's constant,
ν = frequency,
c = the speed of light,
and λ = wavelength of the wave
Wavelength is defined as the distance measured between two adjacent crests or two adjacent troughs of a wave cycle.
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What is scope 3 for oil and gas?
A majority of the an organization's overall ghgs (GHG) emissions frequently come from scope 3 emissions, also known as value chain emissions.Although not every class will be applicable to all enterprises, the GHG Protocol lists 15 types of scope 3 emissions.
What makes Scope 3 crucial?In many industries (and more than 90% in many global corporations, according to CDP reporting), scope 3 emissions, also known as "Value Chain emissions," make up the bulk of total emissions. These emissions are regarded as essential to combating climate change.
What targets are in scope 3?Scope 3 emission are indirect emission of greenhouse gases that are produced in the larger economy in addition to scope 2 emissions.They result from a facility's operations, but they come from sources that the facility's operations do not own or control.
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write a short note on a simple microscope
Answer:
A simple microscope is simple in structure It was invented by Robert Hook It is less convenient to use it can only helps us to detect the virus but not bacteria It is cheap compared to other microscope
You are standing over a 30 m cliff with a water fall. What is the potential energy of 300 kg of water as it starts the decent from the top of the waterfall? Remember, where g = 9.81 m/s2
Answer:
Therefore, the potential energy of 300 kg of water as it starts the descent from the top of the 30 m waterfall is 294.3 Joules.
Explanation:
In this case, you are given that the mass of the water is 300 kg, and the height of the waterfall is 30 m. The acceleration due to gravity is given as 9.81 m/s2. Plugging these values into the formula, you can find the potential energy of the water as it starts the descent from the top of the waterfall:
PE = 300 kg * 9.81 m/s2 * 30 m
= 294.3 kg * m^2/s^2
= 294.3 Joules
The potential energy of 300 kg of water as it starts the descent from the top of the 30 m waterfall is 294.3 Joules.
What is potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.
Given parameters:
Mass of the water: m = 300 kg.
Acceleration due to gravity: g = 9.81 m/s²
Height: h = 30 m.
Hence, potential energy of the water at the top of the waterfall =
mass × acceleration due to gravity × height
= 300 kg × 9.81 m/s² ×30 m
= 294.3 kg-m²/s²
= 294.3 Joules
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Water has a density of 1g/cm³. Describe qn investigation that could test whether a material has a density less then, greater than, or equal to water and identify the independent and dependent variables
An investigation that could test whether a material has a density less than, greater than, or equal to water will involve placing the material in a given volume of water in a beaker and observing whether the material will float or sink in water.
the independent variable is the volume of water
The dependent variable is the density of the material
What is the density of a substance?The density of a substance is the ratio of the mass of the substance to the volume of the substance.
Mathematically;
Density = mass / volume
To determine the density of a substance, the density of that substance is compared to that of water.
A substance that has a density less than water will float in water.
A substance that has a density greater than water will sink in water.
A substance that has a density equal to water will just float in water.
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1. What is the formula for Acceleration?
Answer:
The formula of acceleration (a) = velocity (v)- initial velocity (u) /time taken(t)
The coordinates of a bird flying in the x-y plane are given by x(t)=αt and y(t)=3.0m−βt2, where α=2.4m/s and β=1.2m/s^-2. Calculate the velocity as a function of time. Can anyone please help me out?
The parametric equations of the velocity as a function of time are Vx (t) = 2.4 and Vy (t) = - 2.4 · t, respectively.
How to find the parametric equations of the velocity
Parametric equations are equations in terms of a single variable t, the velocity of the particle is the first derivative of position, whose definition is shown below:
Vx (t) = dx (t) / dt
Vy (t) = dy (t) / dt
Where:
dx (t) / dt - First derivative of x(t).dy (t) / dt - Second derivative of y(t).Physically speaking, the single variable t represents time.
The derivative are found by derivative rules. If we know that x (t) = α · t and y(t) = 3 - β · t², then the velocity functions are:
Vx (t) = α
α = 2.4 m / s
Vx (t) = 2.4
Vy (t) = - 2 · β · t
β = 1.2 m / s²
Vy (t) = - 2.4 · t
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When a light of wavelength 400nm falls on the metal of work function 2.5 eV What will be the maximum magnitude of linear momentum of emitted photoelectron?
The maximum magnitude of linear momentum of emitted photoelectron is 4.12 1025 kg/s.
The photoelectron spectrum is created by analyzing the spectrum of energies that are present in the electrons produced when an intense photon of radiation strikes a molecule. These electrons are referred to as photoelectrons.
The incident photon's energy is given by
E = 1240 / λ ev,
= 1240 / 400,
= 3.1 eV.
W = 2.5 eV is the work function.
Therefore, the electron's maximal energy will be given by
KE = E-W
= 3.1 eV - 2.5 eV
= 0.6 eV = 0.6 1.6 10⁻¹⁹ Joule.
The greatest possible linear momentum is given by p = √2m.
KE is equal to √(2 9.1 1031 kg 0.96 10⁻¹⁹) joules = 4.12 1025 kg/s.
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Why do tariffs lower foreign prices?
The tariff will Reduce imports into the domestic country, and since its imports represent a sizeable proportion of the world market, world demand for the product will fall.
What are tariffs?
A tariff is a type of tax that a country imposes on imported goods at its borders. Tariffs have historically been a tool for governments to generate revenue, but they are also a way governments seek to protect domestic producers.
As a protectionist measure, tariffs increase the price of imported goods. As a result, consumers choose to buy relatively cheap domestic products instead.
In today's global economy, many products that consumers buy contain components from other countries or are assembled abroad. As a result, tariffs can also hit consumers of products they believe are made in their own country.
The tariff will Reduce imports into the domestic country, and since its imports represent a sizeable proportion of the world market, world demand for the product will fall.
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What is the difference between ode15s and ode45?
ODE solver ode15s does non-stiff problems more slowly than ode45, but it performs stiff problems more quickly. almost always The solver you should use initially is ode45. If there are rough tolerances or moderate stiffness present, ode23 may perform better than ode45.
ODE 45: What Does It Mean?The ODE solvers' preferred function is often ODE45. In order to calculate step size and estimate error, it compares approaches of orders four and five. Because ODE45 is so precise, using its interpolant to produce results at intermediate points is its default practice.
What distinguishes the odes ode45 and ode113?In cases of tight tolerances or when evaluating the ODE function is very costly, ode113 might be more effective than ode45. ODE 113 is a multistep solver; in order to calculate the current solution, it typically needs the solutions at several earlier time points.
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Calculate (in MeV) the binding energy per nucleon for 14N.
Calculate (in MeV) the binding energy per nucleon for 56Fe.
Calculate (in MeV) the binding energy per nucleon for 207Pb.
The binding energy per nucleon for ¹⁴N is 7.48 MeV.
The binding energy per nucleon for ⁵⁶Fe is 8.79 MeV.
The binding energy per nucleon for ²⁰⁷Pb is 7.87 MeV.
The formula to calculate the mass defect for [tex]^A_Z X[/tex]
ΔM = (Z × mp) + (N × mn) - m
mp = mass of proton = 1.007825 umn = mass of neutron = 1.008665 um = mass of an atomic nucleusTo calculate the binding energy per nucleon
BE = (ΔM × 931.5 MeV) ÷ A
For [tex]^{14}_7 N[/tex]
A = 14Z = 7N = A - Z = 14 - 7 = 7mass of nitrogen nucleus = 14.00307 uThe mass defectFor [tex]^{56}_{26} Fe[/tex]
A = 56Z = 26N = A - Z = 56 - 26 = 30mass of iron nucleus = 55.934939 uThe mass defectFor [tex]^{207}_{82} Pb[/tex]
A = 207Z = 82N = A - Z = 207 - 82 = 125mass of lead nucleus = 206.975880 uThe mass defectLearn more about binding energy here: https://brainly.com/question/15582431
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How would the forces from a header with such a light soccer ball cause a concussion.
A concussion can be caused by the forces from a header with a light soccer ball if the ball is struck with a high level of force.
When a soccer ball is struck with a high level of force, it can create a shock wave that travels through the ball and into the head of the player who struck the ball. This shock wave can cause the brain to rapidly move back and forth inside the skull, resulting in trauma to the brain tissue.
The likelihood of a concussion occurring from a header with a light soccer ball depends on a variety of factors, including the speed and angle at which the ball is struck, the size and mass of the ball, and the position of the player's head when the ball is struck.
Players who are struck in the head by a soccer ball, particularly at high speeds or with high levels of force, are at risk of sustaining a concussion or other head injury. It is important for players to be aware of the potential for concussion and to take precautions to protect themselves from injury.
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