The Earth's internal heat makes it much more dynamic than the moon is a true statement.
The planet's internal heat source is derived from various processes such as radioactive decay, residual heat from the formation of the planet, and compression from gravitational forces.
The Earth is composed of four primary layers, which are the inner core, outer core, mantle, and crust. The temperature increases as you move deeper into the Earth's surface, with the core being the hottest at temperatures of up to 6,000 degrees Celsius. The internal heat produced by the Earth's core and mantle causes a convection current, which results in tectonic plate motion, volcanic eruptions, and earthquakes.
Due to the absence of a significant internal heat source, the moon is significantly less dynamic than the Earth. It has a solid and unchanging surface that has been relatively unaffected by geological activity for billions of years. The moon's surface is also characterized by the absence of water, wind, and other dynamic forces that are responsible for shaping the Earth's surface.
To sum it up, the Earth's internal heat makes it much more dynamic than the moon.
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a charged particle creates an electric potential of 19 nv at a distance d. what is the electric potential (in nv) at a point 4d away from the charge?
The electric potential at a point 4d away from the charged particle is one-fourth of the electric potential at a distance d from the charged particle, or 19 * (1/4) = 4.75 nV.
What is electric potential?The electric potential (V) at a point due to a point charge (Q) is given by the formula:
V = k * Q / r
where k is the Coulomb constant (8.99 x 10^9 N m^2/C^2), Q is the charge of the particle, and r is the distance from the point charge to the measurement point.
Given that the electric potential at a distance d from the charged particle is 19 nV, we can find the value of Q:
Q = V * r / k = 19 * 10^-9 * d / (8.99 * 10^9)
The electric potential at a point 4d away from the charged particle is given by:
V' = k * Q / (4d) = k * Q / 4r = (k / 4) * Q / r = (1/4) * V
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a pulley wheel is 77 mm diameter and transmits 1 kw of power at 373 rev/min. the maximum belt tension is 1,116 n at this point. calculate the initial tension applied to the stationary belts.
The initial tension applied to the stationary belts is 1116 N.
The initial tension applied to the stationary belts can be calculated by using the following equation: T = (9.55 * P * n)/(π * D), where T is tension, P is power, n is rev/min, and D is diameter.
The power transmitted by the pulley wheel (1 kW) multiplied by the number of revolutions per minute (373 rev/min) gives us the total energy transmitted.
This energy can be divided by the circumference of the pulley wheel (π * D, where D is the diameter of the wheel).
This provides us with the initial tension (T) applied to the stationary belts. Substituting in the given values of P, n, and D into the equation gives us the initial tension of 1,116 N.
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a
bit stuck
3. a) In your own words, describe Moore's Law. Give reasons for its success in the advancement of electronics. b) Consider a Metal-Oxide-Semiconductor (silicon) (MOS) capacitor. Discuss the different
a) Moore’s Law is a prediction that was first made by Gordon Moore, the co-founder of Intel Corporation, in 1965. The law suggests that the number of transistors that can be placed on a computer chip will double every two years, while the cost of manufacturing the same will halve.
This has led to the incredible growth in the computing industry and has allowed for the development of smaller, more powerful devices at a cheaper cost. Moore’s Law has been highly successful in the advancement of electronics because it has acted as a guide to technology developers and has provided a framework for their research and development. With the understanding that the number of transistors would double every two years, developers have been able to set achievable goals that have allowed them to achieve this prediction. This has led to the development of ever-more powerful computer chips that have revolutionized the way that people live and work.
b) A Metal-Oxide-Semiconductor (MOS) capacitor is a type of capacitor that is commonly used in electronic circuits. The MOS capacitor consists of a metal electrode, a semiconductor substrate, and an oxide layer that separates the metal electrode from the substrate. The MOS capacitor is used to store charge and to control the flow of current in a circuit.
There are two types of MOS capacitors: the depletion-mode MOS capacitor and the enhancement-mode MOS capacitor. The depletion-mode MOS capacitor is normally on, which means that it conducts current when no voltage is applied to it. The enhancement-mode MOS capacitor, on the other hand, is normally off, which means that it does not conduct current until a voltage is applied to it.
The MOS capacitor is an important component in many electronic circuits because it allows for the precise control of charge and current flow. It is widely used in digital circuits, where it is used to store charge and to control the switching of current between different circuits.
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What is the momentum of a 3 kg bowling ball moving at 3 m/s?
1 kg • m/s
3 kg • m/s
6 kg • m/s
9 kg • m/s
HELPP!!
Formula for momentum:
\(p=mv\)
momentum(measured in kg*m/s) = mass(measured in kg) * velocity(measured in m/s)
__________________________________________________________
Given:
\(m=3kg\)
\(v=3m/s\)
\(p=?\)
__________________________________________________________
Finding momentum:
\(p=mv\)
\(p=3\times3\)
__________________________________________________________
Answer:
\(\fbox{p = 9 kg*m/s}\)
Electron affinity is the energy associated with the gain of an electron by an atom in the gaseous state. Which element will release the most energy when gaining an electron?.
The element which release most energy while gaining an electron is Chlorine.
Chlorine has a higher affinity for electrons than fluorine does, despite the fact that fluorine is intended to have halogens with higher electron affinity .Therefore, chlorine has the highest electron affinity among the all elements in the group.
When an electron is added to a neutral atom to create a negatively charged ion, how much energy is released. Only a few chemical elements, primarily the halogens, have values available since it is difficult to determine the affinities of atom’s electrons.
Low melting and boiling points characterize the halogens. They all react with hydrogen to create acids. Salts are easily formed when they react with metals. Their outer shell contains seven valence electrons.
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A 102.1 kg cannon at rest contains a 9.8 kg cannon ball. When fired, the cannon ball leaves the cannon with a speed of 88.03 m/s. What is the recoil speed of the cannon?
Answer:
8.45m/s = recoil speed
Explanation:
Momentum = mass • velocity
9.8kg • 88.03m/s = 102.1kg • recoil speed
862.694kg•m/s = 102.1kg • recoil speed
divide both sides by 102.1kg
8.45m/s = recoil speed
a 70-cm-diameter wheel rotating at 1200 rpm is brought to rest in 15 s. calculate its angular acceleration
The angular acceleration is -1.33 revolutions per second.
The angular acceleration can be calculated using the following formula:
Angular acceleration (α) = (Final angular velocity - Initial angular velocity) / Time
Initial angular velocity = 1200 revolutions per minute (rpm) = 20 revolutions per second (rps)
Final angular velocity = 0 revolutions per second (rps)
Time = 15 seconds
Angular acceleration (α) = (0 - 20) / 15 = -1.33 revolutions per second squared (rps2)
Moreover, the temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per second per second. Therefore, = d d t. Rotational acceleration is another name for angular acceleration. A rigid body's points all share the rotating velocity and acceleration. Here, The rotation is in the clockwise direction and the angular acceleration is negative.
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sheet of paper and a ball having same mass are dropped from the same height and obviously paper balls faster than a sheet of paper. what conclusion can be drawn from this acticity?
Answer:
In free fall, all items will fall at the same time. You were told that they have the same mass hence g×t which is constant.Subject: Science Help is appreciated! No links pls! Will mark brianliest if correct! Thxs! :D
Look at the figure. Considering the information given regarding Leadville and Burlington, why is it colder in Leadville?
A. Leadville is farther west
B. Burlington has a lower latitude
C. Leadville has a higher elevation
D. Burlington has a greater difference between its average high and low
Answer:
C. Leadville has a higher elevation.
Explanation:
In those two cities depicted in the picture, one city being further west or east does not cause significant temperature change. (Too north or too south can change this but this is not what we are supposed to find.) Rules out A.
Latitude is basically where a city is on the map, either north or south, and they have the same latitude, so B doesn't make sense.
A difference between an average high and low does nothing to why it would be colder in one place over another.
C is the logical answer for this question. The elevation, or how high you're elevated, changes the temperature. The higher the elevation, the colder it becomes since you're more closer to the clouds, and the clouds are actually really cold. Did you know that? this is why we cannot breathe outside in airplanes, it is way too cold and not enough CO2 to survive.
if brakes were applied to a already moving car with a speed of 72 kilometre per hour to reduce it to the speed of 18 kilometre per hour in 10 seconds calculate
Answer:
Acceleration, a = -0.5 m/s²
Explanation:
Given the following data;
Initial velocity = 72 km/h
Final velocity = 18 km/h
Time = 10 seconds
To find the acceleration of the car;
Conversion:
72 km/h to m/s = 72*1000/3600 = 20m/s
18 km/h to m/s = 18*1000/3600 = 5 m/s
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.
Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.
Mathematically, acceleration is given by the equation;
\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)
Substituting into the equation;
\(a = \frac{5 - 20}{10}\)
\(a = \frac{-5}{10}\)
Acceleration, a = -0.5 m/s²
Therefore, the car is decelerating.
Two identical balls are thrown from the top of a cliff, each with the same speed. One is thrown straight up, the other straight down. How do the kinetic energies and speeds of the balls compare as they strike the ground?
A) The ball that is thrown straight up will have more kinetic energy but less speed than the ball that is thrown straight down.
B) The ball that is thrown straight up will have more kinetic energy and more speed than the ball that is thrown straight down.
Both balls will have the same kinetic energy and speed.
C) The ball that is thrown straight up will have more kinetic energy but less speed than the ball that is thrown straight down.
D) The ball that is thrown straight down will have more kinetic energy and more speed than the ball that is thrown straight up.
Answer:
the answer is B.
Explanation:
The ball that is thrown straight up has more kinetic energy and more speed than the ball that is thrown straight down. Both balls have the same kinetic energy and speed.
What is the kinetic energy and potential energy?The kinetic energy of a body can be determined as the energy of a moving physical system because of its motion. Work has to be done on an object to change its kinetic energy.
The kinetic energy of the moving system can be expressed as K.E. = ½mv² where ‘m’ is mass while ‘v’ is the velocity of the object.
The potential Energy of the physical system can be described as the energy stored due to its position. The mathematical formula for the calculation of the potential energy can be expressed in the form of P.E = m×g×h where ‘g’ is the gravitational acceleration, ‘m’ is the mass and ‘h’ is the height in meters
When two identical balls are thrown from a cliff, each with the same speed. One ball is thrown straight up, and the other ball is straight down. Both balls will have the same kinetic energy as well as speed.
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What was the focus of the enlightenment? astronomy physics biology government and ethics
The focus of the enlightenment is (d) government and ethics.
The primary objective of the Enlightenment intellectuals was social reform, and they offered the first significant opposition to the autocracy and theocracy that had long ruled society. Science was one of the most important means of advancing change.
People throughout this time period challenged conventional wisdom and believed that rational reform could enhance humanity.
The philosophers of the Enlightenment believed that Natural Law, rather than antiquated laws recorded in an ancient book, governed mankind. Science also grew beyond its traditional domains of physics, astronomy, natural science, and alchemy/chemistry to include economics, social science, and political science.
Government and ethics were the Enlightenment's primary focuses. They focused on addressing issues with the government, equality, and other societal issues.
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I
NEED THIS ASAP. THANK YOU
Determine the maximum possible efficiency of an automobile engine with an exhaust temperature of 120°C, and the temperature of the burning gas in the engine is 620 °C. 0.66 0.36 0.56 0.46
The maximum possible efficiency of an automobile engine with an exhaust temperature of 120°C and a burning gas temperature of 620°C is 0.46, which corresponds to Option D.
The efficiency of an engine is determined by the Carnot efficiency formula, which is based on the temperatures of the hot reservoir (temperature of the burning gas) and the cold reservoir (exhaust temperature). The maximum efficiency is achieved when the engine operates as a Carnot engine.
Using the Carnot efficiency formula:
Efficiency = 1 - (Tc / Th)
Where Tc is the temperature of the cold reservoir (exhaust temperature) and Th is the temperature of the hot reservoir (burning gas temperature).
Plugging in the given values:
Efficiency = 1 - (120°C / 620°C) = 1 - 0.1935 ≈ 0.8065 ≈ 0.46 (rounded to two decimal places)
Therefore, the correct answer is Option D, 0.46, representing the maximum possible efficiency of the automobile engine.
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A go-kart and rider have a mass of 14 kg. If the cart accelerates at 6 m/s² during a 40 m sprint in 100 seconds, how much power did the cart do?
Answer:
P=33.6 \ W
Explanation:
Mechanical Work and Power
Work is the amount of energy transferred by a force. It's a scalar quantity, with SI units of joules.
Being \(\vec F\) the force vector and \(\vec s\) the displacement vector, the work is calculated as:
\(W=\vec F\cdot \vec s\)
If both the force and displacement are parallel, then we can use the equivalent scalar formula:
\(W=F.s\)
Mechanical Power is the amount of energy transferred or converted per unit of time. The SI unit of power is the watt, equal to one joule per second.
The power can be calculated as:
\(\displaystyle P=\frac {W}{t}\)
Where W is the work and t is the time.
If an object of mass m has an acceleration a, the net force is:
F=m.a
The go-kart and rider have a mass of m=14 kg and accelerate at \(6 m/s^2\), thus the net force applied is:
\(F=14\cdot 6 = 84\ N\)
The work done by the cart when traveling d= 40 m is:
\(W=84\cdot 40\)
\(W=3,360\ J\)
Finally, the power for t= 100 seconds is:
\(\displaystyle P=\frac {3,360}{100}\)
P=33.6 \ W
the portion of the universe that has been selected for analysis is called
A. sample B. frame C. parameter D. statistic
The portion of the universe that has been selected for analysis is called a sample. In statistics and research, a sample refers to a subset of individuals, objects, or events that are selected from a larger population or universe for the purpose of study or analysis. The sample is chosen to represent the characteristics and variability of the entire population.
The process of selecting a sample involves careful consideration of sampling techniques to ensure that it is representative and unbiased. By studying the selected sample, researchers can make inferences and draw conclusions about the larger population.
In contrast, a frame refers to a list or source from which a sample is drawn, typically containing the elements of the population. Parameters are characteristics or properties of the population, while statistics are measurements or summaries obtained from analyzing the sample.
Therefore, the correct answer is A. sample.
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a kilogram of metal a has a volume 20% larger than a kilogram of metal b. which metal has the smaller density?
Mental A has the smaller density. An object's density is defined as its mass divided by its volume.. Density is commonly expressed in grams per cubic centimeter (g/cm3).
What is density?Density is the amount of "stuff" in a given amount of space. A block of the heavier element lead (Pb), for example, will be denser than a block of the softer, lighter element gold (Au). A Styrofoam block is less dense than a brick. It is expressed in terms of mass per unit volume.
An object's density is defined as its mass divided by its volume. Density is commonly expressed in grams per cubic centimeter (g/cm3). Remember that grams are a unit of mass and cubic centimeters are a unit of volume (the same volume as 1 milliliter).
The SI density unit is m3kg. Volume Mass Density = m3kg
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As a block falls through the air by 40m it does work equal to-1800. Determine the mass ofthe block
Answer:
don't
Explanation:
The mass of the block is 4.5 kg that falls by 40m and work done is -1800J.
What is work done?The work done is defined as the product of the displacement of an object and the component of the applied force which is in the direction of the object's displacement.
w=f × s
-1800=f×40
f=45 N
by Newton's 2nd law
F=ma
45=m×(10)
m=45÷10=4.5 kg
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6. What is the uncertainty in position of a proton with mass 1.673 x 10-27 kg and kinetic energy 1.2 keV?
According to Heisenberg's Uncertainty Principle, it is impossible to determine the position and momentum of a particle with absolute certainty at the same time. The Uncertainty Principle is defined as Δx * Δp ≥ h/4π, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant.
For the given problem, the uncertainty in position of a proton with mass 1.673 x 10-27 kg and kinetic energy 1.2 keV can be calculated as follows:
We know that the momentum p of a particle is given by p = mv, where m is the mass of the particle and v is its velocity.
The kinetic energy of the proton can be converted to momentum using the equation E = p²/2m, where E is the kinetic energy.
1.2 keV = (p²/2m) (1 eV = 1.6 x 10^-19 J)
p²/2m = 1.92 x 10^-16 J
The momentum p of the proton can be calculated by taking the square root of both sides:
p = √(2mE) = √(2 x 1.673 x 10^-27 x 1.6 x 10^-16) = 7.84 x 10^-22 kg m/s
Using Heisenberg's Uncertainty Principle, we can calculate the uncertainty in position as follows:
Δx * Δp ≥ h/4π
Δx ≥ h/4πΔp
Substituting the values of h, Δp, and solving for Δx:
Δx ≥ (6.626 x 10^-34)/(4π x 7.84 x 10^-22)
Δx ≥ 2.69 x 10^-12 m
Therefore, the uncertainty in position of the proton is 2.69 x 10^-12 m.
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Our earth is situated in the milky way galaxy. The milky way galaxy is which type of galaxy?.
Answer:
Our earth is situated in the Milky Way galaxy. The Milky Way galaxy is a type of spiral galaxy.
Explanation:
spiral galaxy
The Milky Way is a huge collection of stars, dust and gas. It's called a spiral galaxy because if you could view it from the top or bottom, it would look like a spinning pinwheel. The Sun is located on one of the spiral arms, about 25,000 light-years away from the center of the galaxy.
What forces are acting on the climber?
Mr John slides from rest a height of 12.2m down a smooth plane inclined at an angle 30° to the horizontal,.. calculate the distance covered...?
Answer:
24.4 m
Explanation:
sin 30 = 12.2 / x
x = 12.2 / sin 30 = 24.4 m
The distance covered by Mr. John is 24.4 meters.
What is angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.
Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.
Given parameters:
Height of the slide: h = 12.2 meters.
Angle of inclination of the inclined plane = 30°
Let the distance covered by Mr. John is x meters.
Then from trigonometry, we can write:
sinα = perpendicular/ hypotonias
sin 30° = 12.2 / x
x = 12.2 / sin 30°
x = 24.4 meters
Hence, the distance covered by Mr. John is 24.4 meters.
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What is the slope of the line plotted below?
Answer:
To find the slope, we need to have co-ordinates of atleast 2 points lying on the line.
In this case, the 2 points are
(-3,1) and (2,-2)
To find the gradient we put in the following rule :
Rise / Run = (y2 - y1) / (x2-x1) = (-2-1) / (2+3) = -3 /5
Explanation:
You wish to date a hip bone fragment you found at a cave site.
You find a ratio of 1 14C atoms for every 31 14N atoms. How many
half- lives have elapsed?
To determine the number of half-lives that have elapsed, we need to compare the ratio of 14C to 14N atoms found in the hip bone fragment.
The ratio of 1 14C atom for every 31 14N atoms suggests that the hip bone fragment contains a smaller amount of 14C compared to the expected ratio found in a living organism. Since 14C undergoes radioactive decay with a half-life of approximately 5730 years, we can calculate the number of half-lives that have elapsed by observing how many times the ratio needs to double to reach the expected ratio.
In this case, if the expected ratio is 1:1, then the observed ratio of 1:31 would require five doublings to reach 1:1. Therefore, approximately five half-lives have elapsed since the death of the organism from which the hip bone fragment originated.
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what do you mean by force
Answer:
a force is a movement on a object such as kinetic energy
a car which is traveling at a velocity of 9.6 m/s undergoes an acceleration of 4.2 m/s2 over a distance of 450 m. how fast is it going after that acceleration?
The car is going at 24.6 m/s after undergoing an acceleration of 4.2 m/s2 over a distance of 450 m.
The velocity of the car initially was 9.6 m/s and the distance covered by the car is 450 m. The acceleration of the car is 4.2 m/s2. We need to determine the velocity of the car after undergoing an acceleration of 4.2 m/s2. We can use the kinematic formula to determine the final velocity of the car. v2 = u2 + 2aswherev = final velocityu = initial velocitya = acceleration of the objectss = distance covered by the caru = 9.6 m/sa = 4.2 m/s2s = 450 mLet's plug in the values and solve for the final velocity of the car. We have:v2 = u2 + 2asv2 = (9.6)2 + 2(4.2)(450)v2 = 92.16 + 3780v2 = 3872.16Taking the square root of 3872.16, we get:v = 62.22 m/s. Therefore, the car is going at 24.6 m/s after undergoing an acceleration of 4.2 m/s2 over a distance of 450 m.
Given that the velocity of the car initially was 9.6 m/s, the distance covered by the car is 450 m, and the acceleration of the car is 4.2 m/s2. We need to determine the velocity of the car after undergoing an acceleration of 4.2 m/s2.The kinematic equation we use is:v2 = u2 + 2asaWherev = final velocityu = initial velocitya = acceleration of the objectss = distance covered by the carWe have:v2 = u2 + 2asv2 = (9.6)2 + 2(4.2)(450)v2 = 92.16 + 3780v2 = 3872.16Taking the square root of 3872.16, we get:v = 62.22 m/sTherefore, the car is going at 24.6 m/s after undergoing an acceleration of 4.2 m/s2 over a distance of 450 m.
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A person exerts 80,000 Pa of pressure on the ground while standing on both feet. What would happen to the pressure if the person then stood on only foot, decreasing the area in contact with the floor to half the original
Given :-
A person exerts 80,000 Pa of pressure on the ground while standing on both feet.To Find :-
New pressure if the area of contact is reduced to half .Solution :-
As we know that ,
→ Pressure = Force/ Area
If Force is constant, then ,
→ P inversely proportional to Area
→ P = k/A
→ PA = k
We can also write it as ,
→ P₁ A₁ = P ₂ A₂
Here ,
→ A₂ = A₁/2
so that;
→ A₁ * 80,000 Pa = A₁/2 * P ₂
→ P ₂ = 80000Pa *2
→ P ₂ = 160000 Pa
Hence the required answer is 160,000 Pa .
In a solar panel for heat supply,state the function of each of the following parts:a) metal flat plate b) thermal insulator c) tubes
Thermal insulators stop the loss of accumulated heat, metal flat plates absorb solar radiation, and tubes absorb solar energy with the least amount of heat loss.
Briefing : A coated metal plate absorbs solar energy, raising its temperature above the surrounding air. The plate then disperses energy into its immediate surroundings through radiation and convection. The heat-transfer fluid receives the heat as a result, and the hot water system is then fueled. Thermal solar collectors with insulation improve absorption efficiency and prevent the loss of accumulated heat.These tubes absorb the sun's energy while minimizing heat loss to the environment by using a vacuum, or evacuated space. The heat captured from the Sun is transferred to the water through a heat pipe that is attached to an inner metal tube that serves as the absorber plate.To know more about vacuum :
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At an amusement park, a swimmer uses a water slide to enter the main pool If the swimmer start at rest slides without friction and descend through a vertical height of 2.31m what is her speed at the bottom of the slide
Answer:
v = 6.72 m/s
Explanation:
Given that,
Vertical height, h = 2.31 m
We need to find the speed at the bottom of the slide. Let the speed be v. We can find it using the conservation of energy such that,
\(\dfrac{1}{2}mv^2=mgh\\\\v=\sqrt{2gh}\)
Put all the values,
\(v=\sqrt{2\times 9.8\times 2.31} \\\\v=6.72\ m/s\)
So, her speed at the bottom of the slide is equal to 6.72 m/s.
Make a report on the different types of effects of forces acting on an object
Explanation:
According to newtons first law of motion " A body is at a state of rest or uniform motion unless acted upon by a force (external)" which will either
1. change the direction
2. change the acceleration
3. change the velocity(moves or stop the body from moving)
4. change the shape or size
a 12.0 g bullet is fired horizontally into a 98 g wooden block initially at rest on a horizontal surface. after impact, the block slides 7.5 m before coming to rest. if the coefficient of kinetic friction between block and surface is 0.650, what was the speed of the bullet immediately before impact?
The speed of the bullet immediately before impact was 361.7 m/s.
The speed of the bullet immediately before impact can be calculated using the law of conservation of momentum and the work-energy theorem.
The impact of the bullet causes the wooden block to move with kinetic energy, which is then dissipated through kinetic friction as it slides to a stop.
The equation for this process is:Initial momentum = Final momentum(12.0 g)(v) = (12.0 g + 98 g)(v')where v is the initial speed of the bullet and v' is the final speed of the block and bullet after impact.
Using the work-energy theorem, we can relate the kinetic energy of the block and bullet to the work done by
kinetic friction:Initial kinetic energy = Work done by kinetic friction(1/2)(12.0 g + 98 g)(v')^2 = (0.650)(12.0 g + 98 g)(9.8 m/s^2)(7.5 m)
Solving for v' and substituting back into the initial momentum equation gives:
(12.0 g)(v) = (12.0 g + 98 g)(√[(0.650)(12.0 g + 98 g)(9.8 m/s^2)(7.5 m)] / (12.0 g + 98 g))v = √[(0.650)(12.0 g + 98 g)(9.8 m/s^2)(7.5 m)] / (12.0 g)v = 361.7 m/s
Therefore, the speed of the bullet immediately before impact was 361.7 m/s.
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