The magnitude of the centripetal acceleration of the car is 0.0034 km/sec².
What is centripetal acceleration?Centripetal acceleration is the acceleration of an object moving in a circular path. It is directed towards the center of the circle and is responsible for the change in direction of the object's velocity.
The magnitude of the centripetal acceleration of an object moving in a circle is given by the formula:
a = v² / r
where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circle.
Given that the car goes once around the track in 320 s, we can calculate its velocity by using the formula:
v = d / t
where d is the distance traveled and t is the time.
d = 2pir = 2pi3.0 km = 18.849 km
t = 320 sec
so the velocity of the car is v = 18.849 km / 320 sec = 0.059 km/sec.
We can now use the formula to find the centripetal acceleration of the car
a = v² / r = (0.059 km/sec)²/ 3.0 km = 0.0034 km/sec²
Hence, the magnitude of the centripetal acceleration of the car is 0.0034 km/sec².
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A 2.5-kg cart is rolling along a frictionless, horizontal track towards a 1.3-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is 4.6 m/s, and the second cart's velocity is -1.8 m/s. (a) What is the total momentum of the system of the two carts at this instant
The required total momentum of the system at this instant is calculated to be 9.16 kg m/s.
Given that,
Mass of the first cart, m₁ = 2.5 kg
Mass of the second cart, m₂ = 1.3 kg
Velocity of the first cart before collision, u₁ = 4.6 m/s
Velocity of the second cart before collision, u₂ = -1.8 m/s
The total momentum of the system before collision is calculated as follows,
P t = P₁ + P₂
P t = m₁ u₁ + m₂ u₂ = 2.5 × 4.6 + (1.3 × -1.8) = 11.5 - 2.34 = 9.16 kg m/s
Thus, total momentum of the system of the two carts at this instant is 9.16 kg m/s.
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Why are dynamic flexibility tests not used as often as static flexibility tests a dynamic flexibility tests involve m?
Dynamic flexibility tests are not used as often as static flexibility tests because dynamic flexibility tests involve movement, while static flexibility tests are stationary.
Dynamic flexibility tests are more difficult to perform and require more coordination, and they can be less reliable than static flexibility tests. Additionally, dynamic flexibility tests require more time and equipment to administer, making them less practical for most fitness assessment settings.
Also, dynamic flexibility tests are more specific and measure the ability to perform a specific movement, rather than measuring the general range of motion of a joint. This makes them more suitable for testing athletes and those who need to measure their ability to perform specific movements.
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4. A 9.35 kg bowling ball would require what force to accelerate it down an alleyway at
a rate of 3.12m/s²?
The force needed is 29.2 N.
To calculate the force needed to accelerate a 9.35 kg bowling ball at a rate of 3.12 m/s²,
you can use the equation F = ma, where F is the force, m is the mass of the object (in this case, the bowling ball), and a is the acceleration. Putting in the values, you get:
F = (9.35 kg) x (3.12 m/s²)
= 29.2 N
This works out to be approximately 29.2 Newtons of force.
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A Shuttle astronaut is sent to repair a defective relay in a 600. 00- kg satellite that is traveling in space at 17 00. 0 m/s * a * w * a * y Suppose the astronaut and his Manned Maneuvering Unit ( MMU) have a mass of 400. 00 kg and travel at 17 010. 0 m/s toward the satelliteWhat is the combined velocity when the astronaut grabs hold of the satellite?
A Shuttle astronaut is sent to repair a defective relay in a 600. 00- kg satellite that is traveling in space. The combined velocity when the astronaut grabs hold of the satellite is 17,004.4 m/s.
The combined velocity of the astronaut and the satellite when the astronaut grabs hold of the satellite is the relative velocity between the two objects. The relative velocity can be calculated using the principle of conservation of momentum. The principle states that the total momentum of an isolated system remains constant if no external forces act on it.
The initial momentum of the satellite is
= (600.00 kg) * (17,000.0 m/s)
= 10,200,000 kg*m/s
The initial momentum of the astronaut and the MMU is
= (400.00 kg) * (17,010.0 m/s)
= 6,804,400 kg*m/s
The final momentum of the combined system is
= (600.00 kg + 400.00 kg) * v,
where v is the final velocity of the combined system.
The conservation of momentum equation:
=> initial momentum = final momentum
= 10,200,000 kgm/s + 6,804,400 kgm/s
= (1000 kg) * v
= v
= (10,200,000 + 6,804,400) / 1000
= v
= 17,004.4 m/s
So, the combined velocity of the astronaut and the satellite when the astronaut grabs hold of the satellite is 17,004.4 m/s.
It's important to note that the relative velocity is the same in both directions, this is a vector quantity and direction is important.
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How does Accenture myNav Green Cloud Advisor integrate sustainability?
Accenture can assist its clients in being more sustainable thanks to the myNav. By making it easier to create cloud solutions that lower carbon emissions by rearranging manufacturing facilities such that carbon emissions can be calculated with ease.
by establishing new corporate efforts to lower transportation expenses and by establishing new rules for the disposal of out-of-date technology.
Accenture can assist its clients in becoming more sustainable by using mynav to locate, assess, architect, and simulate an end-to-end solution at scale.
reduces the expense of transportation
creates a design that is appropriate and aids the customer in becoming more sustainable.
establishes sustainable guidelines for disposing of outdated technology.
myNav Green Cloud Advisor assists businesses in developing cloud solutions that cut carbon emissions and create a platform for ethical innovation. Green Cloud Advisor starts by establishing a baseline for the energy usage, compute needs, and sustainability objectives of current data centers. through promoting the development of cloud technologies that cut down on carbon emissions
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What theorem is presented based on the structure of the baseball field?
Pythagorean Theorem to determine the gap between second base and home plate.
Explain the pythagorean theorem.The Pythagorean theorem and the coordinates of the two locations are used in the distance formula to determine the distance between them. The formula below can be used to determine the length of AB if A and B make up the hypotenuse of a right triangle: Leg2 plus Leg2 equals Hypotenuse 2.
measured from the middle of the backstop to the apex of home plate. Place second base in centre by drawing a line from the backstop's centre point over the pitcher's mound, through the apex. The distance that needs to be measured is between the centre of second base and the top of home plate.
The square root of (a,c)2 + (b,d)2 is used to calculate the distance between the points (a,b) and (c,d). The distance between points (a, b, c) and (d, e, f) in three dimensions is equal to the square root of (a, d), (b, e), and (c, f).
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A helicopter blade spins at exactly 120 revolutions per minute. Its tip is 3.00 m from the center of rotation. (a) Calculate the average speed (in m/s) of the blade tip in the helicopter's frame of reference. m/s (b) What is its average velocity (in m/s) over one revolution
94.32m/s is the average speed (in m/s) of the blade tip in the helicopter's frame of reference.
What is the typical blade tip speed, measured in metres per second, when viewed from a helicopter perspective?We discover that the sub average is 73.3 metres per second after entering this formula into our calculator and finding it to three significant numbers. The helicopter blade tip travels at an average speed of that.
How quickly does the blade tip typically move?After one revolution, the blade point has moved nothing since it goes back to its original position. The average velocity is consequently zero.
FPM = RPM x . 262 x Blade Diameter (inches).
FPM = 120 x . 262 x 3.00 = 94.32m/s
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The question states "The amplitude of a body undergoing simple harmonic motion is doubled. Which of the following is also doubled?
a) maximum speed
b) frequency
c) total energy
d) period
When the amplitude of a body undergoing simple harmonic motion is doubled then the maximum speed is doubled.
Equation of shm is
x(t) = Xo + Acos(wt + f)
Differentiate it with t
v(t) = wA * sin(wt + f)
Then max speed Vmax is wA
So by above relation if we double the amplitude then velocity will be doubled.
If the force acting on the oscillating body is always in the direction opposite to the displacement of the body from the equilibrium or the mean position and its magnitude is proportional to the magnitude of displacement, the body is said to be executing SHM.
If the displacement vs. time curve of the oscillating body is sinusoidal in nature, the body is said to be executing SHM. This is another definition of SHM.
If the potential energy of the oscillating body is proportional to the square of its displacement with reference to the mean position, the body is said to be executing SHM. This is yet another definition of SHM.
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What is Accenture doing for sustainability?
By calculating carbon emissions reduction and sustainability index improvement, the Accenture MyNav Green Cloud Advisor incorporates sustainability when moving client data centers to the cloud.
The availability of computer system resources without the user having to manage them directly is referred to as cloud computing. The network of remote servers located on the internet in this instance aids in the management and storage of the data.
Mynav Green Cloud Advisor is essential since it aids businesses in creating cloud solutions that may be utilized to lower carbon emissions.
As cloud solutions are essential to businesses, Accenture MyNav Green Cloud Advisor integrates sustainability.
reduces the expense of transportationcreates a design that is appropriate and aids the customer in becoming more sustainable.by reconfiguring factories so that carbon emissions may be easily measuredestablishes sustainable guidelines for disposing of outdated technology.by implementing creative business techniques to reduce the cost of transportationby creating new regulations for removing outdated technologies.To learn more about Accenture and sustainability from given link
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someone help!!
What is speed? the distance an object will move the ability of an object to move the measure of force required to move something the time it takes an object to go a cert
Answer:
Speed is the measure of how fast something moves
Explanation:
The speed of light is approximately $3\times10^5$ kilometers per second. How long does it take sunlight to reach Jupiter
it takes about 26 seconds for speed of light with approximate speed of 3\times10^5 kilometers per second to reach Jupiter.
To calculate the time it takes light to reach Jupiter, we need to know the distance between the Sun and Jupiter. The average distance between the Sun and Jupiter is approximately 778 million kilometers. We can use the formula distance = speed x time to calculate the time it takes for sunlight to reach Jupiter. We know that the speed of light is approximately 3x10^5 kilometers per second and the distance between the Sun and Jupiter is 778 million kilometers.time = distance / speed
time = (77810^6 km) / (310^5 km/s)
time = 26 sec (approximately)
Therefore, it takes about 26 seconds for light to reach Jupiter.
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At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 3.0 m/s, and an 83-kg person feels a 545-N force pressing against his back. What is the radius of a chamber
When the outer wall moves at a speed of 3.0 m/s, and an 83-kg person feels a 545-N force pressing against his back then the radius of a chamber is 8.5 meters.
The radius of the chamber can be calculated using the equation
F = mv²/r, where F is the force felt by the person, m is the mass of the person, v is the velocity of the chamber and r is the radius of the chamber. In this case, F is 545 N, m is 83 kg, and v is 3.0 m/s.
Plugging in these values, we get
r= mv²/F
r= 83×3²/545
r = 8.5 m.
Therefore, the radius of the chamber is 8.5 m.
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A particular power source creates electricity through the use of giant magnets that are rotated to create a flow of electrons. This electricity is then directed:
This electricity is then directed from the electric generator to electric outlets in homes
A power source that creates electricity through the use of giant magnets that are rotated to create a flow of electrons is called a generator. Generators use the principle of electromagnetic induction to convert mechanical energy (rotational energy of the magnets) into electrical energy.The electricity generated by the generator is then directed through electrical transmission lines to a substation, where it is transformed to a higher voltage level for long-distance transmission. Then it is distributed to homes and businesses through power lines and transformers.
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How does mass affect the heat that can be absorbed by a substance?
The mass of the material has no influence on specific heat because it is already a quantity represented per unit mass.
Casey Hudson, Drew Karpyshyn, and Preston Watamaniuk created the military science fiction media franchise Mass Effect. The franchise shows a distant future in which humans and many alien civilizations have conquered the known universe utilizing advanced predecessor civilizations' technologies.
The franchise began with a series of video games created by BioWare and released by Electronic Arts. Each iteration combines third-person shooting gameplay with role-playing features. The first three games comprise a trilogy in which the player character, Commander Shepard, strives to defend the Milky Way galaxy from the Reapers, a species of ancient, sleeping robots.
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A car is traveling $$ m/s when the gas pedal is released and the brakes are gradually applied, resulting in an acceleration given by the function $$ m/s^2. What is the distance traveled before the car comes to a stop?
The distance traveled before the car comes to a stop is 66.66 m. It's important to note that the negative sign on acceleration indicates that the car is slowing down.
Calculation-To find the distance traveled before the car comes to a stop, we can use the formula for distance traveled under constant acceleration. The formula is:
Distance = initial velocity * time + (1/2) * acceleration * time^2
The car is traveling at an initial velocity of 20 m/s and the acceleration is given by the function -6.0t, where t is the time in seconds.
We can find the time it takes for the car to come to a stop by setting the final velocity to 0 and solving for t.
0 = 20 + (-6.0)t
t = 20/6
t = 3.333 s
Now that we have the time, we can substitute it back into the distance formula along with the initial velocity and acceleration:
Distance = 20 * 3.333 + (1/2) * -6.0 * (3.333)^2
Distance = 66.66 m
How much further will the automobile go before stopping?The reaction distance for a vehicle traveling at 60 mph on the highway is 312 feet, and the reaction distance for a vehicle traveling at 80 mph is 496 feet. Simply put, at current speeds, doubling the car's speed will result in a three-fold increase in stopping distance.
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A sound wave generated by a musical note has the characteristics presented in the table. What is the missing value?
Air 346 55 6. 3
Glass 5,640 55 102
Brass 4,700 55 ?
A.
112
B.
100
C.
85
D.
98
The missing value is D. 98
The table provides information about the speed (m/s), frequency (Hz), and wavelength (m) of a sound wave generated by a musical note, in different mediums (air, glass, and brass). The frequency of the sound wave is constant across the three mediums, but the speed and wavelength will vary depending on the medium. Since we know the frequency and wavelength, we can use the formula:
Speed = Frequency x Wavelength
to find the missing value of the speed of the sound wave in brass.
4,700 = 55 x Wavelength
Wavelength = 4,700/55 = 85.818...
So the missing value is 98 (approximately) in the table.
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Which statement best describes how the gravitational attraction between objects is related to their distance from each other: A) The objects always attract each other.
B) The objects repel each other only if they have very different masses.
C) The objects always repel each other.
D) The objects attract each other only if they are moving toward each other.
Correct option is A) The objects always attract each other.
There is always a pull from gravity. It won't repel.
A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.
A rise in one quantity causes a fall in the value of the other since the two values are inversely proportionate. In other words, as the separation distance increases, the force of gravity decreases, and as the separation distance decreases, the force of gravity increases.
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If a dolphin is producing a vocalization with a frequency of 35 Hz, traveling at 1,470 m/s, what is the wavelength of the soun
According to the equation wavelength = speed/frequency, the dolphin's sound has a 42 m wavelength.
What does wavelength mean?The distance between two identification based (consecutive crests) in adjoining cycles of a waveform signal as it travels across space or along wire is known as its wavelength. In wireless systems, this length is frequently specified in metres (m), centimetres (cm), or millimeters (mm). The numbers of times per second that a sound waves wave repeats is its frequency, which is often referred to as its pitch.
Given data -
speed = 1,470 m/s
frequency = 35 Hz
wavelength = speed / frequency
wavelength = 1,470 / 35
wavelength = 42 m.
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calculate the frequency of the red light emitted by a neon sign with a wavelength of 659.9 nm.
The frequency of the red light emitted by a neon sign with a wavelength of 659.9 nm is 4.5×10^14 Hz.
What is the frequency?The frequency is the number of times a recurring occurrence takes place during a predetermined period. For example, if an event occurs twice in one second, then the frequency is 2 Hz (Hertz).
A recurring event's frequency is the number of times it happens in a predetermined period. For example, a frequency of a wave is the number of wave peaks passing a fixed point in one second.
The frequency is the number of times something occurs in a given period. For example, the frequency of a radio station is the number of times it broadcasts a signal per second.
Given:
Wavelength = 659.9nm
Speed of light = 3×10^8 m/s
Frequency = speed of light / wavelength
Frequency = (3.0 x 10^8 m/s) / (659.9 nm)
Frequency = 4.5 x 10^14 Hz
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A 5 kg block is on a frictionless surface. A 15 n force is applied To the the block in a direction parallel to the surface. What is the acceleration of the block?
The acceleration is 3 [tex]m/s^2[/tex] when a block with a mass of 5 kg is pulled with a force of 15 n.
The block will experience a net external force of 15 N due to the frictionless surface it is kept in place on.
The block weighs 5 kg.
F = m × a
There is a net external force (F), mass (m), and acceleration acting on the object in this situation (a).
Using the appropriate values in place of F and m:
15 = 5 × a
15/5 = a
3=a
Taking 5 as a factor, we get 3 = a.
As a result, a 5-kilogram item is drawn over a friction less surface with an acceleration of 15 N is 3 m/s².
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Why momentum is denoted by P?
It's unknown where the term "p" for momentum first appeared. Since m had already been used for "mass," it has been proposed that the p may have been derived from the Latin petere or from "progress".
Why is momentum given the letter p?The letter "I" would cause a misunderstanding between inertia and moment of inertia. The French and Germans selected "p" for momentum because of this.
What does the momentum unit p mean?The formula p = mv can be used to compute momentum, where p stands for momentum, m for mass, and v for velocity. The usage of the letter p to represent momentum has various benefits. First off, it would be unclear to use m for momentum because m stand for mass.
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the driver of a 2000 kg car moving at 30 m/s presses on the break pedal. If the braking force is 10000 N, how far does the car travel before stopping
If the braking force is 10000 N, 90 meters is far the car travel before stopping.
What is force ?When an object interacts with another object, it experiences a push or pull known as a force. Every time two objects come into contact, a force is applied to each one of them. Actual forces can only be created by interaction.
What is energy ?The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.
Given that,
Mass of automobile = 2000 kg
speed = 30 m/s
Braking force = 10000 N
For, The acceleration is
Using newton's formula
Where, f = force
m= mass
a = acceleration
Put the value of F and m into the formula
-10000 = 2000*a
The braking force is visible in the negative sing.
It demonstrates that the force's direction is the inverse of the motion.
a = -10000/2000
a = -5m/s2
For the distance,
Using third equation of motion
[tex]v^{2} - u^{2} = 2as[/tex]
[tex]0- 30^{2} = 2 * (-5) *s[/tex]
s = 90m
Consequently, the automobile went 90 meters before coming to a stop.
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How is Pythagorean Theorem used in baseball?
Bill James came up with the Pythagorean Theorem of Baseball, which connects the amount of runs a club has scored and given up to its actual winning %.
Its uses are:The Pythagorean Theorem is the idea that a baseball team's record may be roughly estimated by taking the square of team runs scored and dividing it by the square of team runs scored plus the square of team runs allowed. Bill James, a baseball analyst, made this idea famous.
The Pythagorean Winning % approach uses the relationship between a team's victories and losses and the number of points scored and allowed to calculate the predicted winning percentage. To follow Pythagorean winning percentages for the seasons, consult the team statistics.
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After seeing the fur rubbed with the rod attract the neutral paper, imagine you had an instrument that lets you zoom in enough to see what the paper and rod are made of. Draw a model that shows what happens to the neutral paper to cause it to move towards the charged rod. Make sure to label everything in your model
Seeing the fur rubbed with the rod attracts neutral paper, this happens because the friction of the rod with the rubbed can produce a static electric force. It is this static electric force that causes the pieces of paper to be attracted and rod up.
If the rod or ruler has been rubbed into the hair, then brought closer to the paper, then the paper will lift and stick. Indeed, this can happen due to the presence of an electric charge. When you rub a plastic ruler over your hair, it becomes electrically charged, causing the paper to pull and stick.
The electric charge consists of two types of charge, namely negative charge, and positive charge. However, some objects have an equal amount of negative charge and positive charge. Objects that have the same amount of positive and negative charges are called neutral objects. Initially, a plastic ruler is also an electrically neutral object.
When you rub the ruler against dry hair, it gets an electric charge, because of that electric charge the plastic ruler can exert a force on the paper and pull it closer.
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A plane flying at the speed of 150. M/s is accelerated uniformly at a rate of 5. 00 m/s^2
a. What is the plane's speed at the end of 10. 0 seconds?
b. What distance has it traveled?
The plane's speed at the end of 10.0 seconds is 200 m/s and the distance it has travelled is 1750 meters.
The initial speed of the plane, u = 150 m/s
Acceleration of the plane, a = 5 m/s²
Time, t = 10 sec
We can find the plane's speed at the end of 10. 0 seconds by the formula
a = (v - u)/ t
⇒5 = (v - 150)/ 10
⇒50 = v - 150
⇒v = 150 + 50
⇒v = 200 m/s
Now, to find the distance it has travelled we will use the kinematic equation
v² = u² + 2as
⇒200² = 150 ² + 2 × 5 × s
⇒40000 = 22500 + 10s
⇒17500 = 10 s
⇒s = 1750 m
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Two students have volunteered to explore the galaxy in a spaceship. As they travel through space, they measure the magnitude of the gravitational force between their spaceship and the earth they find that the gravitational force on the spaceship is-
The gravitational pull on the spacecraft is discovered to be inversely proportional to the distance from the Earth.
If the gap were cut in half, the gravitational attraction would be more powerful. According to Coulomb's rule, the gravitational force between any two things in the universe is inversely proportional to the sum of their respective masses.
The gravitational force between two things in the cosmos is calculated as being inversely proportional to their distance from one another. Gravity is the force that holds two bodies together, body present or not.
A force that is directly inversely correlated to the square of the distance between bodies and directly inversely correlated to their product draws every body in the universe toward every other body.
Thus , Inversely related to the separation from the Earth.
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An electron is projected with an initial speed v0 = 1. 10106m/s into the uniform field between the parallel plates in the figure. Assume that the field between the plates is uniform and directed vertically downward, and that the field outside the plates is zero. The electron enters the field at a point midway between the plates.
(a)If the electron just misses the upper plate as it emerges from the field, find the magnitude of the electric field.
(B) suppose that in the figure, the electron is replaced by a proton with the same initial speed. Would the proton hit one of the plates?
(c) what would be the direction of proton's displacement? upward or downward?
(d) compare the paths traveled by the electron and the proton and explain the differences
The electron feels a force upward as it passes between the charged plates and narrowly avoids striking the top plate. It just misses the to plate by a small amount as it moves higher.
The explanation for the above answer:The proton will accelerate less and miss the plates since it is more massive. We once more utilise the kinematic equation to determine the vertical displacement when it occurs for the plates.
y=1/2at²=1/2eE/mp(1.25×10-8s)
² \s=2.73×10-6m
As stated in (b), the proton won't collide with one of the plates because, despite the fact that the electric force felt by the proton and the electrons is identical, the electric force produces a smaller acceleration than g, making it plausible to disregard gravity.
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How is torque calculated using the moment arm?
Torque is calculated using the moment arm is Torque =Lever Arm x Fy (or Force sin( )) Torque = Force (Fm) x Moment Arm.
How is torque moment calculated?Calculating Torque: The formula for torque is =|r| |F|sin = | r | | F | sin, where |r| is the size of the lever arm, |F| is the size of the force vector, and is the angle created between the two vectors.
Is torque equivalent to the moment arm?In mechanics, they have slightly different meanings but the same meaning in physics. The moment is a static force, whereas the torque is a moving force, even though they both have the same unit, N-m. Torque is utilized when there is rotation, whereas moment is used when there isn't.
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A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. How fast was the truck traveling horizontally through its flight
A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Distance of any body or an object is the total path covered by it in a particular time. We can calculate the distance of any object covered by it using the equations of motion in our question. we can also convert equation of motion in our favor to find our answer in a proper format to find our answer by the proper use of equation of motion. By this information we can formerly consider that a tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Initial velocity = 0 , initial height = 252
[tex]dy = u\times t + \frac{1}{2} at^{2}[/tex]
[tex]dy = u\times t +0.5 gt^{2}[/tex]
[tex]252 =0+ 4.9t^{2}[/tex]
t = 7.17 seconds
horizontal:
v = [tex]\frac{dx}{t} =560\times7.17=[/tex]=78.103 m/s
To the nearest tenth; 78.1 M/s
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What happens to the magnitude of the torque if the angle increases toward 90?
The magnitude of the torque will increase as the angle between the force and the line of action of the torque approaches 90 degrees.
Torque is a measure of the rotational force acting on an object and is defined as the product of the force and the distance from the axis of rotation to the point where the force is applied. The torque is also proportional to the sine of the angle between the force and the line of action of the torque.
When the angle between the force and the line of action of the torque is 0 degrees, the torque is zero, as the force is acting in the same direction as the line of action of the torque. As the angle increases, the torque increases and reaches its maximum value when the angle is 90 degrees, at this point the sine of the angle is 1, so the torque is at its maximum value.
In practical terms, if you imagine a door knob, when you push or pull the door knob closer to 90 degree angle with the door, it will be harder to open or close the door, than when you push or pull the door knob at a small angle.
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