The given question is incomplete, and hence, can not be answered. Still, adding some relevant information for your reference.
What are electromagnetic waves?
Electromagnetic waves, or EM waves, are waves produced by oscillations between electric and magnetic fields. In other words, EM waves consist of oscillating magnetic and electric fields.
Electromagnetic waves are produced when an electric field contacts a magnetic field. Therefore, they are called "electromagnetic waves". The electric and magnetic fields of electromagnetic waves are perpendicular (right angles) to each other. They are also perpendicular to the EM wave direction. The
EM wave propagates in vacuum with a constant velocity of 3.00 x 108 ms-1. They are not deflected by electric or magnetic fields. However, they can exhibit interference or diffraction. Electromagnetic waves penetrate everything, including air, solids, and vacuums. No medium is required to diffuse or move from one place to another.
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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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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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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:
In the figure, determine the character of the collision. The masses of the blocks, and the velocities before and after are given. The collision is
A) perfectly elastic.
B) partially inelastic.
C) completely inelastic.
D) characterized by an increase in kinetic energy
E) not possible because momentum is not conserved.
The correct answer is B) partially inelastic. If the masses of the blocks and the velocities before and after being given then The collision is partially inelastic.
To determine the character of the collision, you need to compare the kinetic energy before and after the collision. If the kinetic energy is the same before and after the collision, the collision is elastic. If the kinetic energy is less after the collision, the collision is inelastic. If the kinetic energy is greater after the collision, the collision is not possible because energy cannot be created or destroyed, it can only be transformed from one form to another.
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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 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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Write a paragraph about atoms. Tell what atoms are, size of atoms, what particles make up
atoms and how atoms are arranged
Answer:
An atom is the smallest amount of matter that undergoes chemical changes. The accepted theory today is that the atom is composed of a positively charged nucleus made up of protons and neutrons, collectively known as a nucleon, around which is a cloud of negatively charged electrons.
Different experiences have allowed us to measure the size of atoms. Considered as a sphere, the atom has a radius of about 10-10 m and the nucleus has a radius of about 10-14 m. From this it can be deduced that the nucleus is about 10,000 times smaller than the atom.
They are organized and classified based on their atomic numbers, chemical properties, and electronic charge on the periodic table. Atoms are made up of smaller parts called subatomic particles, which include protons, neutrons, and electrons.
Explanation:
:)
Answer:
Atoms are very small and are not able to see.However, you would need a microscope to see it.For example, a full stop contains more than thousands of atoms this explains that atoms are very tiny particles.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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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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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:
Why is sliding friction less than static friction and why is rolling friction less than sliding friction?
The area on contact between the surfaces and the type of the bodies both affect how much friction there . Rolling has a smaller area of contact than sliding does, and rolling friction is lower than sliding friction.
For kids, what does sliding friction mean?
When things slide over a surface, there is friction called sliding friction. Static friction is more powerful than sliding friction. Because of this, it's simpler to move a furniture item once it's started moving that it is to stop it from moving.
What is the name for a sliding force?
There may still be friction between the surfaces even when they are moving past one another; this sliding friction is known as a kinetic friction coefficient.
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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 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 water pipe having 2.5 cm inside diameter carries water into the basement of a house at a speed of 0.90 m/s and a pressure of 170 kpa. if the pipe tapers to 1.2 cm and rises to the second floor 7.6 m above the imput point, what are the a) speed at the second floor? b) water pressure at the second floor?
a) Speed on the second floor is equal to 3.90 m/s
b) Water pressure on the second floor is 240000 Pa.
What is Bernoulli's Theorem?In fluid dynamics, Bernoulli's principle can be described as an increase in the speed of fluid occurring simultaneously with a decrease in static pressure or the fluid's potential energy.
The constant can be normalized in the Bernoulli equation. A common approach is total head or energy head H:
[tex]{\displaystyle H=z+{\frac {p}{\rho g}}+{\frac {v^{2}}{2g}}=h+{\frac {v^{2}}{2g}},}[/tex]
a) speed on the second floor can be calculated as:
[tex]Q_1=Q_2[/tex]
[tex]A_1V_1=A_2V_2[/tex]
[tex]\displaystyle \frac{\pi }{4}(d_1^2) \times V_1 = \frac{\pi }{4}(d_2^2) \times V_2[/tex]
[tex](2.5)^2\times 0.90 =(1.2)^2\times V_2[/tex]
V₂= 3.90 m/s
b) water pressure on the second floor can be calculated as:
[tex]{\displaystyle {\frac {P_1}{\rho g}}+{\frac {V_1^{2}}{2g}}+h_1 = {\frac {P_2}{\rho g} +{\frac {V_2^{2}}{2g}}} +h_2[/tex]
[tex]{\displaystyle {\frac {170\times 1000}{9.80\times 1000}}+{\frac {(0.90)^{2}}{2\times 9.80}}+7.6 = {\frac {P_2}{\rho g} +{\frac {(3.90)^{2}}{2\times 9.80}}}[/tex] here [tex]h_1-h_2 = 7.6[/tex]
[tex]{\displaystyle {\frac {P_2}{\rho g} = 24.215[/tex]
P₂ = 240000 Pa
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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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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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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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What is cutoff frequency Mcq?
Minimum operating frequency or the cut off frequency for a rectangular waveguide is given by: f c = c 2 m 2 a 2 + n 2 b 2. a = length of the waveguide. b = height of the waveguide. m,n = modes of operation.
What is a wavelength?
Wavelength is the distance between identical points( conterminous peaks) in conterminous cycles of a waveform signal propagated in space or along a line. In wireless systems, this length is generally given in measures( m), centimeters( cm), or millimeters( mm). In the case of infrared( IR), visible light, ultraviolet( UV), and gamma shafts( γ)The wavelength is more frequently given in nanometers( nm), which are units of 10- 9 m, or angstroms( Å)., which are units of 10- 10m. Wavelength is equally commensurable to frequence, which refers to the number of surge cycles per second. The advanced is the frequence of the signal, the shorter the wavelength.To know more about Wavelength, click the link given below:
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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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1. What is the formula for Acceleration?
Answer:
The formula of acceleration (a) = velocity (v)- initial velocity (u) /time taken(t)
if the coefficient of kinetic friction between a 26 kg crate and the floor is 0.34, what horizontal force is required to move the crate at a steady speed across the floor?
If the coefficient of kinetic friction between a 26 kg crate and the floor is 0.34, the required horizontal force to move the crate at a steady speed is 86.6 Newton.
Steady speed means the acceleration is zero.
According to the Newton's first law of motion, to produce a motion with zero acceleration, the net force must be equal to zero.
In the problem, the forces are the horizontal force and the friction force.
Hence, the net force is:
∑F = 0
Fh - friction = 0
Fh - μ . mg = 0
Where:
Fh = horizaontal force
m = mass of the crate = 26 kg
g = acceleration due to gravity = 9.8 m/s²
μ = coefficient of kinetic friction = 0.34
Plug all the parameters into the equation,
Fh - 0.34 x 26 x 9.8 = 0
Fh = 86.6 N
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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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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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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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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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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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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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a 0.32-m-long violin string is tuned to play a above middle c at 440 hz. (a) what is the wavelength of the fundamental string vibration, and (b) what are the frequency and wavelength of the sound wave produced? (c) why is there a difference?
The wavelength of the fundamental string vibration is 0.64 m and the wavelength of the sound wave produced is 0.77 m. This difference is due to the change in speed of the sound wave in air and in the string.
What is sound wave?Sound wave is a mechanical wave moves through a medium only. The frequency of a sound wave is called its pitch and it is the number of wave cycles obtained per unit time.
The wavelength for the fundamental frequency is = 2L
= 2 × 0.32 = 0.64 m
Now the speed of the sound waves in air = 340 m/s
frequency = 440 Hz or s⁻¹.
Thus, the wavelength of sound wave = speed/ frequency
= ( 340 m/s)/ 440 Hz = 0.77 m.
This change in wavelength from that of the fundamental vibration is due to the change in speed of sound waves in different mediums.
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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]