It is a vector measurement of the direction and rate of the motion.
When a charged particle is accelerated by an electric field (uniform or non-uniform), by work energy theorem, ΔKE=W, we have
1 mv 2 −21 mu 2 =qV (∵W=qV)
For electron,
1 mv 2 − 21 mu 2 =eV
or v= (u 2 + m2eV )
If electron is initially at rest, u=0
v= ( m2eV )
Note: If field is uniform, E=( dV )
v= ( m2eEd )
What is the velocity of an electron due to voltage?The velocity of an electron due to voltage is defined as v = ((2*[Charge-e]*V)/[Mass-e])1/2 or velocity dueto voltage = ((2*[Charge-e]*V)/[Mass-e])1/2.
In everyday physics, the kinetic energy of a moving object is equal to (0.5)mv 2, where m equals mass and v equals velocity. In electromagnetics, the corresponding equation is: where m = 9 10 -31 kg and q, the charge of a single electron, is 1.6 10 -19 C.
How to Determine an Electron's Speed Step One: Determine the Equation of Interest You may recall that in everyday physics, an object's kinetic energy in.
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Which choice below explains what is happening in a liquid as it turns into a gas?
a. The particles speed up and spread apart
b. The particles speed up and come closer together
c. The particles slow down and spread apart
d. The particles slow down and come closer together
Answer:
a
Explanation:
As you add thermal energy the particles spread apart and are moving faster ..... a certain volume of water produces a much larger volume of steam as energy is added.....that is how steam engines work !
questions 10-11 refer to a ball that is tossed straight up from the surface of a small, spherical asteroid with no atmosphere. the ball rises to a height equal to the asteroid's radius and then falls straight down toward the surface of the asteroid. 10. what forces, if any, act on the ball while it is on the way up?
Only a decreasing gravitational force that acts downward will apply on the ball that is tossed straight up from the surface of a small, spherical asteroid with no atmosphere.
What is gravitational force?All physical things with mass are drawn to the gravitational force, which can be thought of as an attracting force. It is the known natural force that is by far the weakest.The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward each other by gravity.
Hence,
Only a decreasing gravitational force that acts downward will apply on the ball that is tossed straight up from the surface of a small, spherical asteroid with no atmosphere. The ball rises to a height equal to the asteroid's radius and then falls straight down toward the surface of the asteroid.
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if a planet (or asteroid) orbited the sun at three times the distance of mars, its orbital speed would be
If a planet (or asteroid) orbited the sun at three times the distance of mars, its orbital speed would be about one-third to two-thirds the speed of Mars' orbit .
What is meant by solar system?The Sun, our star, and everything gravitationally connected to it, including the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, dwarf planets like Pluto, dozens of moons, and Our solar system is made up of millions of asteroids, comets, and meteoroids.
The Solar System is made up of the Sun, eight planets, and a variety of other celestial bodies. These celestial bodies and planets are drawn to the Sun and circle around it. Our solar system is made up of the Sun, a common star, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
The complete question is : Now, let's turn our attention to rotation curves for orbiting masses which are not rigidly held together like the points on a merry-go-round. The Rotation Curve of the Solar System animation shows the orbits of Mercury, Venus, Earth, and Mars. Click on each of the orbits, and watch the corresponding points appear on the graph below it. If a planet (or asteroid) orbited the Sun at three times the distance of Mars, its orbital speed would be __________.
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A student wants to make a simple model of the solar system to help him compare how long it would take for a spaceship to travel between different planets.
Which of the following things is essential for him to do in order to think about how long it would take?
this are the opions
He must make sure that the model of each planet looks like the planet it represents, but he does not need to accurately represent the relative distances between the planets because the most important thing is that models look like the thing they are modeling.
He must accurately represent the relative distances between the planets, but he does not need to make sure that the model of each planet looks like the planet it represents because only the relevant aspects of the thing being modeled need to be modeled accurately.
He must accurately represent the relative distances between the planets and also make sure that the model of each planet looks like the planet it represents, because a model should be as much like the thing being modeled as possible.
He does not need to accurately represent the relative distances between the planets, and he does not need to make sure that the model of each planet looks like the planet it represents, because there are always some differences between a model and the thing being modeled.
Answer:
To make a simple model of the solar system that can be used to compare the time it would take for a spaceship to travel between different planets, the student must accurately represent the relative distances between the planets. This is because the time it would take for a spaceship to travel between two planets depends on the distance between those planets, so accurately representing the distances between the planets is essential for thinking about how long it would take for a spaceship to travel between them.
It is not necessary for the student to make sure that the model of each planet looks like the planet it represents, although this may help make the model more understandable. The most important thing is that the model accurately represents the relative distances between the planets.
In summary, the student must accurately represent the relative distances between the planets in order to think about how long it would take for a spaceship to travel between different planets in the solar system.
in an experiment, block is given an initial speed toward block , which is initially at rest. the blocks are on a track that has a motion detector set up, as shown above. when the two blocks collide, there is a completely inelastic collision and the blocks move together with speed . the blocks were both placed on a balance, and it is determined that they have the same mass. the experiment is repeated for four different initial speeds, and the data are shown in the chart below. it appears that the resulting data are not accurate. which measurement most likely produced errors in the data seen in the chart below?
The results that we get from the experiment is accurate within the limits of experimental error. Option E
What is true about the experiment?We know that an experiment is the way by which we can be able to establish a cause and effect relationship. In this case, we can see that there is an inelastic collision that has occurred between the two blocks that have collided in the instance that we can see here.
Looking at the set up of the experiment, it is clear that the block is given an initial speed toward block , which is initially at rest. the blocks are on a track that has a motion detector set up, as shown above.
All of the set up is okay based on the way that such an experiment ought to be arranged to enable us to get a very accurate result out of the work that has been done here.
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i have a few questions
multipe choice
8) Kinetic energy is the energy of ________.
9)The potential energy of an object depends on its ________ and its height.
10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.
11) Stored energy is called ________ energy.
12) When you move your hand or foot, your body has converted potential energy into ________ energy.
13) When coasting while roller skating, you eventually stop due to ________.
please and thank you
Energy refers to the ability or capacity to do work. Energy can be of various types as follows:
Mechanical energy (kinetic or potential)Electrical energyLight energySolar energyHeat energyKinetic energy is energy possessed by an object because of its motion while potential energy is energy possessed by an object because of its position or its condition.
The law of conservation of energy states that energy cannot be created nor destroyed but can only be transformed i.e. converted from one form to another.
Friction is a force that resists the relative motion or tendency to such motion of two bodies in contact.
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A heavy piece of hanging sculpture is suspended by a 90 cm long 5.0 g steel wire. When the wind blows hard, the wire hums at its fundamental frequency of 95 Hz.What is the mass of the sculpture?
According to the given statement 16.7kg is the mass of the sculpture.
What is a fundamental frequency in physics?The lowest frequency that could be produced by a particular instrument is known as the fundamental frequency. The fundamental frequency is also known as the instrument's first harmonic.
Briefing:Use the string's tautness' fundamental frequency as a formula.
f = (1/2L)*√(T/μ) .... (Eqn1)
Where
f= frequency in Hertz =80Hz
T = The string's tension equals Mg.
M is a symbol for the substance's mass (sculpture)=?
g= 9.8m/s^2
L= Length of the string=90cm=0.9m
μ= string length divided by mass gives the string's density.
mass of string =5g=0.005kg
L=0.9m
μ=0.005/0.9 = 0.0056kg/m
Using (Eqn1)
95= 1/(2*0.9) √(T/0.0056)
171= √(T/0.0056)
Square both sides
29241= T/0.0056
T= 163.74 N
Recall that T =Mg
163.74= M * 9.8
M=163.74/9.8
M= 16.7kg
Consequently, the sculpture weighs 16.7kg.
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All living organisms are mainly composed of what elements? * 1 point A. Carbon, Phosphorus, Nitrogen, Oxygen, Potassium B. Calcium, Phosphorus, Nitrogen, Oxygen, Vibranium C. Oxygen, Carbon, Hydrogen, Nitrogen, Phosphorus D. Sodium, Carbon, Nitrogen, Hydrogen, Helium
All living organisms are mainly composed of the elements: Oxygen, Carbon, Hydrogen, Nitrogen, Phosphorus.
The correct answer choice is option c.
What are living organisms?Living organisms are those things that has life. They include plants and animals. Living organisms be it plants or animals are composed of important elements such as carbon, oxygen and others.
However, there are certain characteristic features which living organisms possess. Some of these characteristics of living things are as follows:
Movement: The ability of living organisms to move from one place to another or to move Its body parts. There are two major types of movement known in living organisms. These are: Active movementPassive movementOther characteristics of living organisms are:
RespirationNutritionIrritabilityGrowthExcretionReproduction AdaptationCompetitionIn conclusion, we can now confirm from above the explanation given above that living things are made up of certain elements.
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what would most likely happen if coastal north carolina increased implementation of wind energy?
The option that is more likely to happen if coastal north Carolina increased implementation of wind energy is The production of greenhouse gases would decrease.
A gas that produces the greenhouse effect by both absorbing and emitting radiant radiation in the thermal infrared range is referred to be a greenhouse gas. The five main greenhouse gases in the atmosphere of Earth are ozone, carbon dioxide, methane, and water vapor.
A renewable energy source is wind energy. It is non-polluting, never runs out, and reduces the demand for fossil fuels, which are the source of greenhouse gases that cause global warming.
By increasing the implementation of wind energy,
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what is the current through the heating element of an electric toaster oven if the heater has a resistance of 5 ohms and it is connected to 120 volts?
Answer:
24 A
Explanation:
Ohm's Law: V = IR, so I = V/R
I = 120V/5Ω = 24 A
suppose a woman does 550 j of work and 9800 j of heat transfer occurs into the environment in the process. (a) what is the decrease in her internal energy (in kcal), assuming no change in temperature or consumption of food? (that is, there is no other energy transfer.) -10350 kcal (b) what is her efficiency (in percent)? %
W = -500 J is the work, which is why it's negative because a woman is doing it.
Briefing
The heat transfer into the system,
Q = 9500 J, makes it positive.
(a) Heat and work are added to determine the change in internal energy, which is:
ΔU = Q+W
We replace with:
ΔU = 9500 J-500 J
ΔU = 9000 J\s(b) (b) The quantity of useful work completed given a total energy supply is now what is generally referred to as an efficiency. From this, we may divide the woman's labour by the shift in internal energy, giving us
= 500 j / 9000 j.
We get:
ϵ = 0.0556~ 5.56%
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1.
KNOW the UNITS!!!!!! SHOW YOUR WORK
What is the net force exerted on a 150.0kg race-car driver while the race car is accelerating from 0 to 58.7m/s i
3.50s?
Answer:
2515.7N
Explanation:
First step is to find the acceleration:
U = 0 and V =58.7 m/s
a = (V-U)/t
where, t = 3.5s
a = 58.7/3.5
so, in order to find the net force,
F= ma
= 150kg × 58.7/3.5
= 2515.7 N
If the forces exerted on a 2-kg object are 50 N east and 30 N west, what is the object's acceleration?
If the forces exerted on a 2-kg object are 50 N east and 30 N west, the object's acceleration is 10 m/s².
What is acceleration?Acceleration is defined as the speed at which an object's velocity changes over time. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
To calculate acceleration we use formula
F = m x a
Given m = 2 kg
Net force = 50 N - 30 N
= 20 N
a = F / m
a = 20 N / 2 kg
a = 10 m/s²
Thus, if the forces exerted on a 2-kg object are 50 N east and 30 N west, the object's acceleration is 10 m/s².
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terference is a property of a. light waves. b. sound waves. c. water waves. d. all of these e. none of these
When two Polaroids' axes are parallel, light cannot flow between them. a 45° angle between them. Parallelc. Perpendiculard. a pair of these. each of these 45.
An entrepreneur suggests providing polarised background music for offices and allowing those who would rather not hear it to do so by using polarising earbuds.Mechanical vibrations in the form of sound waves are transmitted from an item to the ear. These vibrations may arise from a person's voice, a musical instrument, thunder, or an earthquake and can be audible or inaudible. By connecting a pair of headphones to the speakers and turning on the sound, a sound wave can be heard.
Light is electromagnetic radiation, and light is electromagnetic radiation.
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which type of wave has a wave perpendicular to the disturbance?responses surface surface longitudinal longitudinal mechanical mechanical transverse
The disruption of a transverse wave propagates perpendicular to the direction of propagation.
Depending on the type of motion they experience, mechanical waves can either be transverse or longitudinal. It should be emphasized that transverse and longitudinal waves can both have periodic behavior.
Transverse wave: what is it?
An oscillating wave that moves in the opposite direction of its oscillations is referred to as a transverse wave in physics. On the other hand, a longitudinal wave travels in the direction of its oscillations. Water waves are transverse waves.
A transverse wave is what sort of wave?
Transverse waves include phenomena like string vibrations and sea surface ripples. The slinky may be swung horizontally up and down to produce a transverse wave. A longitudinal wave's particles are scattered perpendicular to the direction that the wave is moving.
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suppose the gravitational acceleration at the surface of a certain moon a of jupiter is 2 m/s2. moon b has twice the mass and twice the radius of moon a. what is the gravitational acceleration at its surface? neglect the gravitational acceleration due to jupiter.
Neglecting the gravitational acceleration due to jupiter , the gravitational acceleration at the surface of moon b is 8 m/s².
The gravitational acceleration at the surface of the moon is determined using the equation G*M/r^2, where G is the gravitational constant, M is the mass of the object, and r is the radius of the object.
Calculate the gravitational acceleration at the surface of moon a, using the equation for gravitational acceleration:
g = G * M / r2
where G is the gravitational constant (6.67x10-11 Nm2/kg2), M is the mass of the moon, and r is the radius of the moon.
g = 6.67x10-11 Nm2/kg2 * M / r2
g = 6.67x10-11 Nm2/kg2 * (mass of moon a) / (radius of moon a)2
g = 2 m/s2
Step 2: Calculate the gravitational acceleration at the surface of moon b, using the equation for gravitational acceleration:
g = G * M / r2
where G is the gravitational constant (6.67x10-11 Nm2/kg2), M is the mass of the moon, and r is the radius of the moon.
g = 6.67x10-11 Nm2/kg2 * (2 * (mass of moon a)) / (2 * (radius of moon a))2
g = 8 m/s²
Therefore, the gravitational acceleration at the surface of moon b is 8 m/s².
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What is the primary classification trait used to explain how scientists divide rocks into the three classification groups?
a. Composition
b. Formation
c. Location
d. Texture
Composition and texture is the primary classification trait used to explain how scientists divide rocks into the three classification.
How are rocks divided into the three classification groups by scientists?Rocks can be categorized in one of two ways: first, according to the processes by which they form, with rocks being categorized as either sedimentary, igneous, or metamorphic. Grain or crystal size is another common way to categorize rocks.
Two criteria—texture and composition—are used to categorize rocks. The sizes, shapes, and relationships between the various mineral grains and other components that make up a rock are what determine its texture. The process that created the rock controls these elements.
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true or faule because only one path exists for the current to flow through a series circuit, it must flow through each resistor in the circuit.
In a series circuit, there is only one path for the current to go, hence each resistor in the circuit must conduct current. For series-connected resistors, this assertion is accurate.
Why does a series circuit just have one path for current?This is thus because a series circuit only has one path for current to move along. Since conductors carry electric charge, the rate of flow at any point in the circuit at any given instant must be equal.
What takes place when a circuit path is damaged?Current will stop flowing in the circuit if any section of this path is damaged. Any series-connected set of parts in a circuit that doesn't have any junctions must all have the same amount of current flowing through them. Devices are connected in a parallel circuit so that current can go along more than one closed path.
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Please help this is urgent
Consider a planet and an asteroid in the solar system. Both their orbits can be considered as a circle. Their distance to the center of the sun differ by a factor of 4. rB = 4 rA
When r increases by a factor of 4, how do period T, angular velocity ω, and linear speed v change respectively?
1. [tex]T_{B}[/tex] = ___ [tex]T_{A}[/tex]
2. [tex]\omega_{B}[/tex]=___[tex]\omega_{A}[/tex]
3. [tex]v_{B}[/tex] = ___[tex]v_{A}[/tex]
A particle moving in a circle has a linear velocity that is related to its angular velocity by the relationship r/r, where r is the radius, based on our understanding of circular motion.The most significant actions must be taken by the person on the outside.
What angular velocity ω, and linear speed v respectively?While linear speed v increases with radius, angular speed does not. For instance, to maintain line with the rest of the marching band, the individual on the outside must take the biggest steps.
Therefore, Every particle with a rigid body is subject to the relation v/ r = at any given time.
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gravel is being dumped from a conveyor belt at a rate of cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always the same. how fast is the height of the pile increasing when the pile is feet high? recall that the volume of a right circular cone with height and radius of the base is given by .
The fast is the height of the pile increasing when the pile is feet high 0.1989 ft/min.
Calculation:
Here given the rate of change in volume DV/DT = 40 actions and we need the rate of change in height when height h = 16.
Putting all values.
40 = π/4 x (16)² x DV/DT
= DV/DT= 40 x 4/ 1×16×16
0.1989 ft/min.
Rate of change in height when height is 16 H is equal to 0.1989 ft/min.
The goal is to get a text from as many modalities as possible so that models trained on The Pile have broader generalization capabilities. For stakes, experts believe it comes from the Latin word pira. Pila loosely translates to the ball. If you've ever seen inflamed hemorrhoid, you'll understand this moniker better. Many hemorrhoids actually look like small round spheres.
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3) A skateboarder lands on all four wheels after riding a railing. If the skateboarder
has a weight of 900 N and the area on the bottom of a single wheel is 0.0001 m2,
What pressure does the skateboard put on the ground?
Answer:
The pressure that skateboard put on ground is 2 250 000 Pa
Explanation:
We have,
Force (F)=900N, Area of single wheel=0.0001m2 but skateboard has four wheels so required area=0.0001x4
P = F/A Area = 4 wheels x 0.0001 m2 = 0.0004 m2 P = 900 N / 0.0004 m2 = 2 250 000 Pa=2250 kPa
Have you ever questioned the need for such sharp knives or the pointy ends on our nails? The idea of pressure holds the answers to each of these queries. It is the ratio between the force being applied and the surface area being applied to. The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. The SI unit of pressure is the pascal (Pa).
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A skydiver dives from an airplane. air resistance is measured each second following the skydiver’s jump.
Time after jump | Weight | Air Resistance
1 sec | 500 N | 200 N
2 sec | 500 N | 300 N
3 sec | 500 N | 400 N
4 sec | 500 N | 500 N
Which statement best identifies her speed at each second?
a. The skydriver has the slowest speed at 2 seconds
b. The skydriver has the fastest speed at 4 seconds
c. The skydriver has the slowest speed at 1 second
d. The skydriver has the fastest speed at # seconds
The phrase that best captures her speed at each second is as follows: "The sky driver has the fastest speed at 4 seconds" (option B).
In brief:The object's speed, area, and shape all affect how much air resistance it experiences. The resistance of the air is affected by altitude, temperature, and humidity.
Higher speed and a larger area result in greater resistance. The frequency of air molecule collisions with the item increases along with speed. The air resistance rises as a result.
As a result, speed increases together with the amount of air resistance encountered by the 500N sky driver.
What is speed?Speed is the rate at which a body moves.
What is temperature?Temperature is the degree of hotness or coldness of a body.
What is humidity?Humidity is the amount by which the air is concentrated with water vapour.
Describe air resistance.Air resistance is the frictional action of air that slows a moving object.
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a scuba diver and her gear displace a volume of 69.6 l and have a total mass of 72.8 kg. (a) what is the buoyant force on the diver in seawater? (b) will the diver sink or float?
This refers to an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object. In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. the buoyant force is also known as upthrust. It operates under Archimedes' principle.
The formula for calculating buoyant force:
Fb = -ρ g V
Where,
Fb = buoyant force
ρ = fluid density
g = acceleration due to gravity
V = fluid volume
From the question:
V = 69.6 l
m = 72.8 kg
g = 9.8m/s
To calculate density, ρ:
ρ = Mass/Volume
ρ = 72.8 kg/69.6 l
ρ = 1.05kg/l
To calculate buoyant force, Fb:
Fb = -ρ g V
Fb = -1.05kg/l * 9.8m/s * 69.6 l
Fb = -716.2 N
Note: Negative buoyancy suggests that the immersed object is denser than the fluid displaced which results in the sinking of the object. Neutral buoyancy takes place when the weight of the immersed object is equivalent to the fluid displaced. The dive taken by the scuba diver is a perfect example of neutral buoyancy.
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children in a tree house lift a small dog in a basket 4.75 mm up to their house. part a if it takes 221 jj of work to do this, what is the combined mass of the dog and basket?
The combined mass of the dog and basket is 4750 kg.
To determine the combined mass of the dog and basket, we can use the equation for work, which is defined as the product of the force applied and the distance over which the force is applied. In this case, the force applied is the weight of the dog and basket, and the distance over which the force is applied is the height of the tree house, 4.75 mm.
The equation for work can be written as follows:
W = F * dwhere W is the work done, F is the force applied, and d is the distance over which the force is applied.
Substituting the values given in the problem, we get the following equation:
221 J = F * 4.75 mm
To solve for the force F, we need to convert the distance from millimeters to meters. We can do this by dividing the distance by 1000:
221 J = F * 4.75 mm / 1000 m/mm
= F * 0.004750 m
Solving for the force F, we get:
F = 221 J / 0.004750 m
= 46600 N
The force F is equal to the weight of the dog and basket. The weight of an object is equal to its mass multiplied by the acceleration due to gravity, which is 9.8 m/s^2. Therefore, the combined mass of the dog and basket is:
m = F / g
= 46600 N / 9.8 m/s^2
= 4750 kg
This is the final answer.
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. a pulley consists of a uniform disk with mass m and radius is r and is free to rotate around a frictionless axle through its center. a mass m is hung from a string wrapped around the pulley. if the string does not slip, what is the acceleration of m?
The acceleration of m is 2g/3 in a pulley consists of a uniform disk with mass m and radius is r and is free to rotate around a frictionless axle through its center. a mass m is hung from a string wrapped around the pulley.
mgT=ma
TR=mRa/2
T = mRa /2
= ma/2
3ma /2 = mg
a = 2g/3
The pulley's mass increases as the acceleration of the object decreases. Calculating the acceleration requires knowledge of the pulley's mass and moment of inertia. Keep in mind that the acceleration will be independent of the radius for the usual pulley forms (such as disc, hoop, and disc, mostly hoop).A pulley system's velocity is typically constant.Unless if you want to measure the centripetal acceleration of the rotating components.Newton's second law of motion states that an object's acceleration is equal to its mass divided by the net force acting on it, or a = F× m.For more information on pulley system kindly visit to
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An Olympic sprinter runs two laps around an 800 m circular track in 5 minutes.
What is the sprinter's displacement after she returns to her initial position?
O
O
O
0m
800 m
160 m
1,600 m
The sprinter's displacement after she returns to her initial position is 0 m.
option A is the correct answer.
What is displacement of the sprinter?
The displacement of the sprinter is the change in the position of the sprinter after the race. It is also the shorted distance between the initial position of the sprinter and the final position of the sprinter.
Mathematically, the formula for the change in the position of the sprinter is given as;
Δx = xf - xi
where;
xf is the final position of the sprinterxi is the initial position of the sprinterwhen the sprinter starts from point A of a circular track and returns to the starting point A, that is one lap. When the sprinter moves again and returns to the same starting point A, that is two laps.
From the above illustration, the final position of the sprinter is equal to the initial position of the sprinter.
Δx = xf - xi
xf = xi
Δx = 0 m
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a uniform thin rod of length 0.50 m and mass 4.0 kg can rotate in a horizontal plane about its center. a 3.0 gram bullet hits the end of the rod (initially at rest) at an angle of 60 degrees and imbeds in the rod. if the angular speed of the rod is 10. rad/s after the bullet strikes, what is the speed of the bullet before it strikes the rod?
The speed of the bullet before it strikes the rod is 67 m/s. To determine the speed of the bullet before it strikes the rod, we need to consider the conservation of angular momentum.
The moment of inertia of a thin rod about its center is given by the following formula:
I = (1/3) * m * L^2where I is the moment of inertia, m is the mass of the rod, and L is the length of the rod.
Substituting the values given in the problem, we find that the moment of inertia of the rod is
(1/3) * 4.0 kg * (0.50 m)^2 = 0.67 kg*m^2.In this case, the bullet strikes the rod, transferring some of its linear momentum to the rod in the form of angular momentum. The change in angular momentum of the rod is equal to the angular momentum of the bullet.
We can use the conservation of angular momentum to write the following equation:
I1 * w1 + J = I2 * w2where I1 is the initial moment of inertia of the rod, w1 is the initial angular velocity of the rod, J is the angular momentum of the bullet, I2 is the final moment of inertia of the rod, and w2 is the final angular velocity of the rod.
Since the initial angular velocity of the rod is zero, we can simplify the equation as follows:
J = I2 * w2
Substituting the values given in the problem, we find that the angular momentum of the bullet is
0.67 kgm^2 * 10 rad/s = 6.7 kgm^2/s.To determine the speed of the bullet before it strikes the rod, we need to consider the bullet's mass and the angle at which it strikes the rod. The mass of the bullet is given as 3.0 grams, which is equivalent to 0.003 kg. The angle at which the bullet strikes the rod is given as 60 degrees.
We can use the following formula to calculate the speed of the bullet before it strikes the rod:
v = (J/m) * sin(theta)Substituting the values given in the problem, we find that the speed of the bullet before it strikes the rod is (6.7 kg*m^2/s / 0.003 kg) * sin(60 degrees) = 67 m/s. This is the final answer.
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based on its surface temperature of 6,000 k, most photons that leave the sun's surface lie in which region of the electromagnetic spectrum?
Most photons that leave the sun's surface have a surface temperature of 6,000 K, which corresponds to the visible light region of the electromagnetic spectrum.
The electromagnetic spectrum is a continuous range of wavelengths and frequencies that includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. The wavelengths and frequencies of these different types of electromagnetic radiation are all different and correspond to different regions of the spectrum.
The visible light region of the electromagnetic spectrum is the portion of the spectrum that can be seen by the human eye. It ranges from about 400 nanometers (nm) to about 700 nm in wavelength, and corresponds to frequencies of about 7.5 x 10^14 Hz to about 4.3 x 10^14 Hz. Photons with wavelengths and frequencies in this range have enough energy to excite the photoreceptors in the human eye, allowing us to see them.
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what is the minimum cross-sectional area required of a vertical steel cable from which is suspended a 280- kg chandelier? assume a safety factor of 8.0.
6.68x [tex]10^{-7}[/tex] [tex]m^{2}[/tex] is the minimum cross-sectional area required of a vertical steel cable from which is suspended a 280- kg chandelier mass, m, is equal to 280 kg; safety factor, 8.
Steel's tensile strength is P and its stress is force (f)/Area ( A)
A = F /P
A is equal to mg /8x tensile A.
280 x 9 . 8/ 8 X 500 X106 \s
A = 6.68x [tex]10^{-7}[/tex] [tex]m^{2}[/tex]
What is Tensile Strenth?
Stress, which is quantified as force per area, is the definition of tensile strength. Usually, it is expressed in terms of Pa or psi. Tensile modulus is an intense attribute, which means that the size of a test specimen has no bearing on its value. However, it also depends on other elements like the specimen's preparation, temperature, and the existence of surface flaws.
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a child forces a styrofoam ball under the surface of a container of water. if the child must apply 581 n to totally submerge the ball, what is the diameter d of the ball?
The diameter of the ball is 0.4998 m.
Given,
F=581n
Density of water pw= 1.0 x 10³ kg/m³
Density of styrofoam pfoam=95.0 kg/m³
Fb=Buoyancy force
W= Weight of ball
from the Figure
f+w=Fb
Fb-W=f
4/3πR³pwg-4/3πRpfoamg=f
4/3πR³(1000-95) x 9.81=581
R=0.2499m
then the diameter of the ball
d=2R
d=2 x 0.2499
d=0.4998m
the diameter d of the ball = 0.4998m
In physics, force is that power that can change the motion of an item. Pressure also can be described intuitively as a push or a pull.
Force is a push or a pull and it affects our daily lives because, without force, people might not be capable of opening and near stuff or lifting up their arms or legs.
Variety of Forces :
* Frictional Forces
* Tension force.
* Spring force.
* Gravitational pressure.
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The diameter of the ball is 0.4998 m.
What is diameter?
Any straight line segment that cuts through the centre of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord. The diameter of a sphere can be defined using either of the two methods.
F=581n
Density of water pw= 1.0 x 10³ kg/m³
Density of styrofoam pfoam=95.0 kg/m³
Fb=Buoyancy force
W= Weight of ball
from the Figure
f+w=Fb
Fb-W=f
4/3πR³pwg-4/3π Rpfoamg =f
4/3πR³(1000-95) x 9.81=581
R=0.2499m
then the diameter of the ball
d=2R
d=2 x 0.2499
d=0.4998m
the diameter d of the ball = 0.4998m
In physics, force is that power that can change the motion of an item. Pressure also can be described intuitively as a push or a pull.
Force is a push or a pull and it affects our daily lives because, without force, people might not be capable of opening and near stuff or lifting up their arms or legs.
Variety of Forces :
* Frictional Forces
* Tension force.
* Spring force.
* Gravitational pressure.
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