Answer:
a = 4 m/s²
Explanation:
Given: 28 N, 7 kg
To find: Acceleration (a)
Solution: To find (a), divide force by weight
A = F ÷ m
= 28 ÷ 7
= 4 m/s²
Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.
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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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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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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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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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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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
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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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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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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a ball moves with a constant speed of 4 m/s around a circle of radius 0.25 m. what is the period of the motion? [hint: for this calculation, you need to know the circumference of the circle.
The period of the motion will be equal to 0.39s.
What is a period of circular motion?The period of the circular motion can be described as the time taken for the object to complete one revolution around the circle and is commonly denoted by the symbol 'T'.
Given, the speed of the ball, v = 4 m/s
The radius of the ball, r = 0.25 m
The relation between the speed, radius of the circular path, and time period:
V = Rω
V = R (2π/T)
V = 2πR/T
4 = 2×3.14 × 0.25/T
T = 0.39 s
Therefore, the period of motion is equal to 0.39s.
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Sound waves are transferred by the compression of particles. The closer the particles are to one another, the faster the energy is transferred. Therefore, sound energy directly depends upon the _________ of the medium.
The sound energy directly depends upon the density of the medium. The correct option is A. When particles are compressed, sound waves are transmitted. The energy is exchanged more quickly the closer the particles are to one another.
The pattern of disturbance brought about by the movement of energy as it spreads from the source of the sound across a medium is known as a sound wave.Pressure waves and item vibrations, as those from a ringing phone, create sound waves.
Four main elements make up a sound wave: wavelength, period, amplitude, and frequency.
Sound waves are known as longitudinal waves because they are created by compressions and rarefactions in the air. In a path parallel to the propagation direction, air molecules vibrate.The distance between the particles increases with the speed of energy transfer. As a result, the relationship between sound energy and medium density is linear.
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Starting from rest, a freely falling object falls 125 meters in?
Answer:
5.05 sec
Explanation:
h = 1/2gt²
solve for t:
t² = (2h)/g
t = √(2h)/g = √((2)(125 m)) / (9.8 m/s²) = 5.05 s
Which of the following statements describes the relation between what we observe and the predictions of the nebular model of the formation of the Solar System?
a. The model predicts icy planets nearest to the Sun and we observe icy planets there.
b. The model predicts icy planets throughout the Solar System and we observe icy planets only far from the Sun.
c. The model predicts icy planets throughout the Solar System and we observe icy planets everywhere.
d. The model predicts icy planets throughout the Solar System and we observe icy planets only nearest to the Sun.
e. The model predicts icy planets farthest from the Sun and we observe icy planets there
e. The closest planets to the Sun should be rocky, and we do indeed see them there.
What of the above is a nebular theory prediction?The nebular theory, however, states that a clouds will rotate quickly once it becomes relatively tiny.
What term sums up the nebular theory the best?The nebular theory proposes that a rotating cloud of material called a nebula, composed primarily of light components, flattened into the a protoplanetary disk and developed into a solar system made up of a star and circling planets.
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The closest planets to the sun should be ice, and we do indeed see icy worlds. The relationship between the nebular hypothesis of the solar system's creation is described in those sentences.
What does the solar system mean?The planetary Venus, Mercury, Earth, Mars, Planets, Jupiter, Saturn, and Neptune are all part of our solar system, as are dozens of moons, hundreds of meteors, meteorites, and gaseous planets, as well as Pluto, a dwarf planet.
Why is the solar system so crucial?The Solar System is the only system in which a habitable planet has been observed, the one and only star mankind can observe up close, and the only planets we can explore with spacecraft. Research into the solar system is crucial for comprehending the evolution of planetary.
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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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If a net force of 10. Newtons acts on a 6. 0-kilogram mass for 8. 0 seconds, the total change of momentum of the mass is.
The total change of momentum of the mass is 80.016 kgm/s approximately 80 kgm/s.
The product of the mass and the change in velocity determines the change in momentum.
Since the mass is a constant, it stays the same.
A shift in momentum is caused by a change in velocity.
The letter " Δp" stands for the change in momentum.
As per the question, Net force = 10 N
Mass of the object = 6.0 Kg.
Time = 8.0 Sec.
As per Newton's first law of motion:
v=u+at, where, v = final velocity
u = initial velocity
a = acceleration
t = time
So, we can write it as: vf - vi = at (vf= final velocity, vi=initial velocity)---(i)
Applying Newton's second law
F = ma.
So, 10 = 8*a => a = 1.667 m/s^2.
So, from (i),
vf - vi = 1.667 x 8 = 13.336 m/s ---(ii)
So, change in momentum M = m(vf - vi)
Where M is a change in momentum, m is mass
So, the value of change in momentum will be
M = 6 x 13.336 = 80.016 kgm/s approximately 80 kgm/s.
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A researcher is studying the effects of
negative outcomes on the human brain in
a psychological experiment. The
researcher shows ten participants various pictures
and designs. When the participants see a red star,
they are immediately given a brief, painful shock
and their brainwaves are analyzed. A different
group of ten participants is given the same
pictures and designs but are given no shock when
they see the red star.
What was the control in the experiment?
A.The picture of the red star.
B.The group that is given no
shock.
C.The electrical shock.
D.The pictures and designs.
The control in the experiment is option B. The group that is given no shock.
What do experimental controls mean in terms of science?The method utilized by the researcher in scientific study to reduce the impact of unimportant factors is known as experimental control. The power of the independent variable to alter the dependent variable is further strengthened by experimental control. 9 Nov 2021
A controlled experiment is a scientific test carried out under predetermined circumstances in which only one (or a small number of) variables are altered at a time while all other variables are maintained constant.
Researchers use experimental controls to reduce the impact of unrelated experience and environmental factors, as well as to strengthen the conclusion that changes in the dependent variable are caused by the independent variable (the ability to infer causality).
Hence, option B is correct as it is not receiving any special treatment in the experiment.
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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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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.If astronomers discovered a new planet and found its period of rotation around the sun to be 105 years, how long would its semi-major axis length be as it orbited the sun in au?.
The length of the semi-major axis of the new planet will be 22.3 AU.
As per Kepler's law of period:
The square of a planet's period of revolution around the sun in an elliptical orbit is precisely equal to the cube of its semi-major axis.
Mathematically, we can write it as:
The period of a planet's orbit (P) squared is equal to the size of the semi-major axis of the orbit (a) cubed when it is stated in astronomical units because [tex]P^2 = a^3[/tex] according to Kepler's Third Law.
For earth T=1 year
r=1 AU
let us assume that [tex]r_p[/tex] is the radius of the new planet.
For new planet; [tex]T_p[/tex] = 105 years
Using Kepler's 3rd law:,
We can write it as:
[tex]\frac{T^2}{T_p^2}=\frac{r^3}{r_p^3} \\\\\Rightarrow\left(\frac{1}{105}\right)^2=\frac{(1)^3}{\left(r_p\right)^3}=0.0000907 \\\\\Rightarrow r_p=\left(\frac{1}{0.0000907}\right)^{\frac{1}{3}}\\\\=22.257 \mathrm{AU} \\[/tex]
Approximately 22.3 Years.
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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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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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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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During a live action show, an acrobatic performer will fall from heights onto a large foam mat. While these falls would normally injure a person, the performer is unharmed. From the perspective of momentum, what is the best explanation for this?.
The following relationship between impulse and momentum enables for the proper outcome to be determined: The average force Impulse falls as impact time increases.
The impulse, which is connected to the fluctuation in the quantity of movement, is calculated by multiplying the applied force by the time interval. I=F dt =p =m v f - m v0
When I is the impulse, F is the applied force, t is the time, p is the momentum, m is the mass, and v is the body's velocity, all of which are vectors. When the body stops, its speed is zero, and the height of the body affects how quickly it strikes the foam bed. A certain amount of force must be applied in order for someone to be hurt.
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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 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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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 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 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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