The ungrounded conductors in a corner grounded system that supplies a service are sized at 750 kcmil copper is the minimum size required for the grounded conductor
What is the minimum size for ungrounded copper service conductor?
It must have a minimum copper conductor size of 8 AWG and a maximum copper conductor size of 3/0 AWG.
What is the minimum size grounding electrode conductor size for a service with 2 AWG conductors?
When buried metal water pipe is used as the grounding electrode the minimum size conductor for the grounding electrode is 2 AWG copper or 1/0 aluminum.
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95/5 solder should be used; a.on the high side of the system b.on the low side of the system c.when there are extreme changes in pressures and temperatures d.always
On the low side of the system, 95/5 solder need to be utilized. Designed for use in plumbing systems where frequent and dramatic temperature fluctuations exist, solder is a tin-antimony wire solder.
What is the purpose of 95-5 solder?95/5 is a general-purpose solder used in situations where the use of solder containing lead is not allowed, such as when soldering copper and copper alloys and/or ferrous base alloys.
What components make up 95-5 solder?A proprietary lead-free alloy created especially for water supply lines is the Oatey 95/5 wire solder. It complies with the Safe Drinking Water Act's definition of "lead free" since it is made of 95% tin and 5% antimony. Its melting range is between 450 and 464 degrees Fahrenheit, and it cannot be used on metal.
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Two charged metal plates in vacuum arc scparated by 15 Cm as showmn in the figure. The electric field between the plates uniform and has an intensity ol 3.' 103 N/C. An electron with charge and mass 9-1 kg is released from point just inside the negative plate JC00 N/C Calculate the time the electron will take to hit the other plate- Note that you cannot neglect gravity! How (ar dawn from point A (directly horizontally across from point P) will the clectron hit?
The time taken by the electron from one plate to reach the other plate is 1.12 x 10⁻¹⁷ s
Two metal plates separated by the distance = 15 cm
= 0.15 m
The electric field between the plates = 3 x 10³ N/C
The mass of the electron = 9.1 x 10⁻³¹ kg
The charge of the electron = 1.6 x 10⁻¹⁹ C
The time taken by the electron to hit the other plate can be found using the formula,
d = 1/2at² + vt
where d is the distance between the plate
a is the acceleration of the electron
t is the time taken by the electron
v is the velocity of the electron.
Let us find the acceleration of the electron
a = E/m
where E is the electric field of the electron
m is the mass of the electron
a = 3 x 10³ / 9.1 x 10⁻³¹
= 3.27 x 10³³m/s²
Let us substitute the known values in the distance equation, we get
d = 1/2at² + vt
0.15 = 1/2 x 3.27 x 10³³ x t² x 0t [ the initial velocity of the electron is zero]
t² = 2 x 0.15 / 3.27 x 10³³
= 0.3 / 3.27 x 10³³
= 0.0917 x 10⁻³³
= √ (0.0917 x 10⁻³³)
= 1.12 x 10⁻¹⁷ s
Therefore, the time taken by the electron is 1.12 x 10⁻¹⁷ s
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to an order of magnitude, how many piano tuners reside in new york city? the physicist enrico fermi was famous for asking questions like this one on oral ph.d. qualifying examinations.
It is estimated that there are about 500-1000 piano tuners in New York City.
What is estimation?Estimation is the process of predicting an approximate value based on available data. It is used in a wide range of fields, such as engineering, economics, statistics, and business. Estimation involves making a judgment based on available information and using methods to calculate an approximate value. Estimation is important in many different situations, such as predicting the potential cost of a project or forecasting an expected outcome of a decision. Estimations can also be used to identify trends and prepare forecasts. Estimation involves analyzing data and considering different factors to make a reasonable prediction. This process can help organizations make informed decisions and take appropriate action.
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It is estimated that there are about 500-1000 piano tuners in New York City.
What is magnitude?Magnitude in physics is simply described as "distance or amount." It shows how an item moves while it is in motion, whether that movement is absolute, relative, or of a certain magnitude. It is used to describe the scope or magnitude of something. Magnitude is a broad term used in physics to describe size or distance. The contrast between the speeds of an automobile and a bicycle, for instance, may be explained using the magnitude. Additionally, it may be used to describe the length a certain thing has traveled or the magnitude of an object's quantity.
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How is Faraday's law of electromagnetic induction used? (in things like security alarms etc.)
Answer:
helps us predict how a magnetic field would interact with an electric circuit to produce an electromotive force
Explanation:
Horses with the greatest linear speed on a merry-go round are located:
a. near the center
b. near the outside
c. anywhere
Horses with the greatest linear speed on a merry-go round are located near the outside.
The measurement of a moving object's actual distance traveled is called linear speed. Linear speed is the rate of motion of an object along a straight line.
The carousel ( merry-go-round) is a delicate balance of motion and forces, in spite of all its beauty and outward appearance of simplicity. One full circuit is completed by each horse in precisely the same amount of time. In the same length of time, the horses inside the carousel must travel a greater distance than the horses outside. As a result, the horses outside move more quickly along a straight line than those inside the hub. Therefore, a rotating object's linear speed is higher on its outside edge than it is closer to the axis.
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a hooke's law spring is mounted horizontally over a frictionless surface. the spring is then compressed a distance d and is used to launch a mass m along the frictionless surface. what compression of the spring would result in the mass attaining double the kinetic energy received in the above situation? a hooke's law spring is mounted horizontally over a frictionless surface. the spring is then compressed a distance d and is used to launch a mass m along the frictionless surface. what compression of the spring would result in the mass attaining double the kinetic energy received in the above situation? 2.00 d 1.73 d 1.41 d 4.00 d
The mass would gain twice the kinetic energy it did in the scenario above if the spring were compressed by 14.1 cm.
Do you mean by kinetic energy?A particle or perhaps an item that is currently motion has a type of energy called kinetic energy. An item acquires kinetic energy when work, which involves the transmission of energy, is performed on it by exerting a net force.
A spring's energy reserve is proportional to the square of the compression, x.
PE of compression = 0.5kx^2 where k is a constant to do with how easy it is to compress the spring.
So 0.5d^2 gives a KE of value Q
If you double Q you get 2Q and get 0.5D^2 where D is the new compression
So 0.5d^2/0.5D^2 = Q/2Q
d^2/D^2 = 1/2 which means that D^2 = 2d^2 or D = d(sqrt2)
Therefore, the new compression is roughly 1.414 times that of the old one.
Easiest method for recalling is that KE is proportional to sqrt(d)
To double KE you need to compress the spring sqrt2 times as much as before.
Hope this helps.
PE of spring = stored energy = (1/2)kx^2 = (1.2)mv^2
So kx^2 = mv^2
x^2 = (m/k)v^2
x is proportional to v
If x is doubled, v is doubled, and the KE is quadrupled.
the distance would then be ? 2*d or 1.41d = 1.41(10) = 14.1 cm
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Derive an expression for the torque applied by the adult rider (on the left) in terms of given quantities and variables available in the palette. Assume counterclockwise is positive.
The torque applied by the adult rider can be represented by the following expression: Torque = force x distance from the axis of rotation, in terms of quantities and variables.
In this case, the force applied by the adult rider is the force exerted by the rider on the pedal, and the distance from the axis of rotation is the distance between the pedal and the axis of rotation (the center of the wheel). Let's assume the force exerted by the adult rider on the pedal is represented by the variable F_rider, and the distance between the pedal and the axis of rotation is represented by the variable r. Torque = F_rider x r. It's important to note that the torque is also affected by the angle between the applied force and the radius vector. In this case, we assumed that the rider is applying force in a direction that is perpendicular to the radius vector. Also, the direction of rotation that is positive is assumed to be counter clockwise.
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if there is a and - charge near each other and they are moved further apart, work must be done and the result is strong electric potential energy. what would be a good analogy to this process in the case of gravity?
A good analogy to this process in the case of gravity would be carrying a heavy object up a flight of stairs. Work must be done and energy is expended to move the object further away from the ground.
What is the move ?
The move is a change of direction or position, usually from one place to another. It can involve anything from a simple walk to a large and complex relocation. In the context of sports, it means a technique used by a player to gain an advantage over an opponent. In dance, it is a gesture or step that is part of a larger routine. In business, it can mean a strategic shift in direction taken by a company in order to improve its performance or gain a competitive edge. Moves can also be used in the context of decision-making, where one assesses the pros and cons of different options before settling on the best option.
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Classify the characteristics as qualities of either acids or bases. acid base dissolves some metals ITI sour flavor turns litmus paper blue turns litmus paper red bitter flavor feels slippery
The acids are sour flavour, dissolves some metals and turns litmus paper red.
The bases are bitter flavour, feels slippery and turns litmus paper to blue.
What is acid and base?The German word for acid, sauer, describes its sour flavour. Since hydrochloric acid, which is used to digest food, can harm cells, our stomachs require a special lining to shield it from this acid. Acids are something we're all familiar with; they're present in tomatoes, citrus fruits, and vinegar. There are numerous varieties of salts in chemistry, and acids react with most metals, including magnesium, to produce hydrogen gas.
When two substances come into contact, corrosive substances will cause a chemical reaction that will damage or destroy the other substances.
On contact, bases feel slick. This is due to their ability to alter protein structure. Because it begins to harm the proteins in your skin, a strong base can result in severe chemical burns.
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compare compass needle deflection under the wire with charge flowing into the risis wirth deflection under the wire with charge flowing out of the resistor
A compass needle is used to detect magnetic fields and will be deflected when placed near a wire that carries an electric current.
When charge flows into a resistor, the current flowing through the resistor generates a magnetic field in the clockwise direction as seen from the end of the wire through which the current is flowing. This will cause the compass needle to be deflected in the clockwise direction.
When charge flows out of a resistor, the current flowing through the resistor generates a magnetic field in the counter-clockwise direction as seen from the end of the wire through which the current is flowing. This will cause the compass needle to be deflected in the counter-clockwise direction.
In summary, when charge flows into the resistor, the compass needle will be deflected in the clockwise direction, and when charge flows out of the resistor, the compass needle will be deflected in the counter-clockwise direction.
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the windpipe of a typical whooping crane is about 5.0 ft. long. what is the lowest resonant frequency of this pipe, assuming it is closed at one end? assume a temperature of 37c.
The lowest resonant frequency of this pipe is approximately 58 Hz.
What is frequency?
Frequency is a measure of how often a particular event occurs or a certain value appears in a set of data. It is usually expressed as a number of occurrences or a percentage of the total. Frequency is a useful concept in statistics and probability theory as it can provide insight into the underlying data and help to draw conclusions about the data.
The speed of the sound is:
[tex]$v =331 \sqrt{1 + \frac{T}{273} }[/tex]
[tex]$v =331 \sqrt{1 + \frac{37}{273} }[/tex]
v = 352.72 m/s
The length of the pipe is:
L = 5.0 ft = 1.524 m
The wavelength is:
λ = 4L
= (4)(1.524)
= 6.096 m
[tex]$f = \frac{v}{\lambda}[/tex]
[tex]$ f =\frac{352.72}{6.096}[/tex]
a mass on a spring completes 8 oscillations in 4.0 s. determine the period of its simple harmonic motion.
The time period of its simple harmonic motion is 0.5 second, if the mass on a spring completes 8 oscillations in 4 seconds.
The time period of a wave is defined as the time required to complete one one oscillation or cycle. One oscillation is when a wave particle repeats its position in a path. On the other hand number of oscillation in one second is called frequency.
A motion in which restoring force in a body is directly proportional to the distance of the body from its mean position, is called simple harmonic motion.
As per the question statement, time required to complete 8 oscillation = 4.0 sec
Then, time required to complete 1 oscillation = 4/8 = 0.5 second.
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Which of the following is the best description of the events of anaphase I?Homologous chromosomes randomly separate and migrate to opposite poles.
Homologous chromosomes arbitrarily divide and move to opposing poles throughout Ana-phase I of meiosis, which is the best way to describe what happens.
What do the Earth's poles do?Either of the two sites on Earth in which the rotation axis crosses the surface is referred to as a geographical pole. "Poles" are the parts of magnets with the strongest magnetic fields. Numerous magnet poles will either repel, pull, or attract one another.
Which pole is stronger?A magnet's south and north poles are equally powerful. The capacity of a magnet to generate a magnetic flux and to pull or push other magnetically or superconductors is referred to as its strength. The power of a magnet is not reliant on its magnetic field.
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The illumination lights in an operating room use a concave mirror to focus an image of a bright lamp onto the surgical site. One such light has a mirror with a focal length of 15.0 cm. Use ray tracing to find the position of its lamp when the patient is positioned 1.0 m from the mirror (you'll need a careful drawing to get a good answer).
The position of its lamp when the patient is positioned 1.0 m from the mirror is 17cm.
The mirror is the concave radius of curvature of mirror R = 30 cm
Distance between the mirror and the patient = 1.2 m
We need to find out the distance of lamp from the mirror.
Focal length = radius/2
Focal length= 15cm
Using formula:
[tex]1/s+1/s'=1/f[/tex]
On solving:
[tex]1/s=s'-f/fs'[/tex]
[tex]s=fs'/s'-f\\s=15*120/120-15\\s=17cm[/tex]
What is the formula for calculating focal length?
The focal length is half the radius of curvature and is as f=R2 where f is the focal length, and R is the radius of curvature.
How do you apply the thin lens equation?
To predict exactly what a lens will do, we can use the thin lens equation: (1/do) + (1/di) = 1/f. In this equation, do is the object distance or the distance of the object from the center of the lens. Di is the image distance or the distance to the image that the lens produces from the center of the lens.
Therefore, the position of its lamp is 17cm.
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1. a bus is driving along a straight stretch of road. the bus driver, named ray, has
a cup of water resting on the dashboard. suddenly ray has to slam on the brakes.
part 1: what is most likely to happen to the water in the cup? part 2:using your
knowledge of newton's laws of motion explain why this will happen. please be
sure to answer both parts of the question.
Due to the inertia of motion, this will happen. Water continues to travel because of inertia while the bus and cup come to stop as a result. As a result, water continues to move and spills.
What exactly is the inertia of motion, for instance?The resistance a body offers to continue moving uniformly unless another force acts on it is known as the inertia of motion. For instance, when a moving bus suddenly stops, the passengers slump forward because of the inertia of motion.
Who defined Newton's first, second, and third laws of motion?According to the first law, a force must be applied to an object before it may affect its motion. According to the second law, an object experiences a force equal to its mass times its acceleration. According to the third law, when two things interact, they exert forces on one another that are both equal in strength and directed in the opposite direction.
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A horizontal force acts on a block sliding on a horizontal surface. the force of kinetic friction between the block and the surface is 0.5 n. if the direction of the applied force is reversed, which is true?
If the direction of the applied force is reversed on a block sliding on a horizontal surface, the force of kinetic friction between the block and the surface will also be reversed.
The force of kinetic friction will now act in the opposite direction of the applied force, and its magnitude will remain the same (0.5 N). As a result, the net force acting on the block will be the difference between the applied force and the force of kinetic friction, which will determine the block's acceleration. The block will slow down and eventually stop moving, as the force of kinetic friction will be greater than the applied force in this case.
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Your question is incomplete, but most probably, the complete question is:
A horizontal force acts on a block sliding on a horizontal surface. The force of kinetic friction between the block and the surface is 0.5F. If the direction of the applied force is reversed, which is true?
The magnitude of the net force on the block increases.
The magnitude of the acceleration of the block remains the same.
The kinetic energy of the block increases.
The velocity of the block remains the same.
suppose you drop an object out of the window of a building and wait for it to hit the ground. how does the halfway point in distance compare to the halfway point in time? please explain.
It travels below half the distance in 1⁄2 the time required to reach the surface while remaining above the window-to-ground halfway point.
What is the straightforward meaning of time?The amount of time that something happens, undergoes a procedure or stays the same: duration.: a non-spatial continuum where events succeed one another in time from the past through the present to the future
How does science define a time?time is a continuum without spatial dimensions that can be measured or quantified. Time is a philosophically intriguing concept that is also the focus of mathematical research.
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the two graphs in (figure 1) are for two different vertical mass/spring systems.Part AWhat is the frequency of system A?Express your answer using two significant figures.Part BWhat is the first time at which the mass of system A has maximum speed while traveling in the upward direction?Express your answer using two significant figures.Part CWhat is the period of system B?Express your answer using two significant figures.Part DWhat is the first time at which the mechanical energy of system B is all potential?Express your answer using two significant figures.Part EIf both systems have the same mass, what is the ratio kA/kB of their spring constants?Express your answer using two significant figures.
The frequency of system A determined based on given graph is 0.25
What is the system's period?The interval between two consecutive cycles is referred to as the period, also known as the periodic time, of a periodic oscillation of a quantity. Time, or T, is defined as the period of oscillation, with T = 2 or T = 2/. The formula f = 1/T = /2 gives the reciprocal of the period, or the frequency f, in oscillations per second.
Based on the graph:
In system A; 3 wavelength in 12 secs
for time for 1 wavelength => 12/3 = 4 sec
Thus, frequency => 1/t = 1/4 => 0.25
What is the wave speed equation?The wavelength and frequency components of the wave speed formula are given by the equation: v = f. where v denotes the wave's speed. The wave's frequency is f.
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A pulse of a wave train travels along a stretched string and reaches the fixed end of
the string. It will be reflected back with :
A aphase change of 180° with velocity reversed
B the same phase as the incident pulse with no reversal of velocity
Cc aphase change of 180° with no reversal of velocity
D__ the same phase as the incident pulse but with velocity reversed
A wave train pulse moves along a slinky until it reaches the string's fixed end. It will return with a 180° phase shift and the opposite velocity.
What does velocity mean?The dislocation that an objects or particle experiences with regards to the time is expressed vectorially as velocity. The metres per second (m/s) is the accepted unit of fluid velocity (usually known as speed).
What is the SI unit for velocity?The velocity is the rate at which a given displacement changes. By figuring out the displaced to total time ratio, this could be calculated. The same as for speed, "m/s" is the SI unit for velocity.
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A rock is thrown and it takes 6 seconds to hit the ground how High did it travel
When a rock is thrown and it takes 6 seconds to hit the ground, it travelled 176.4 meters.
What is acceleration of free fall?
Acceleration of free fall is the acceleration at which a body falls when only the gravitational forces of the earth is acting upon it. It is represented by the letter g, and its value on the earth's surface is 9.8 m/s².
Time taken to hit the ground by the rock: Δt = 6 seconds.
Hence, it travelled a height of = 1/2 × gΔt²
= 1/2 × 9.8 × 6² meter
= 176.4 meters.
Hence, , it travelled 176.4 meters.
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which of the following wavelength regions cannot be studied with telescopes on the ground?
A) radio waves
B) X rays
C) ultraviolet
D) both B and C
E) both A and C
Radio waves and X- rays wavelength regions cannot be studied with telescopes on the ground.
The longest wavelengths of the electromagnetic spectrum, which are present in radio waves, are often found at frequencies of 300 gigahertz and lower. While the wavelength for 30 Hz is 10,000 kilometers, it is 1 mm for 300 GHz.An X-ray or, much less frequently, an X-radiation is a penetrating kind of high-energy electromagnetic radiation. The majority of X-rays have wavelengths in the range of 10 picometers to 10 nanometers, which corresponds to energy of 145 eV to 124 keV and frequency of 30 petahertz to 30 exahertz.
X-ray(s) can be spelled in English as x-ray(s), xray(s), and X ray (s). Although the most common use of X-rays is to check for fractures (broken bones), there are other applications as well.
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what is the speed vfinal of the electron when it is 10.0 cm from charge 1? Two stationary positive point charges, charge 1 of magnitude 4.00 nC and charge 2 of magnitude 1.80 nC , are separated by a distance of 58.0 cm. An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges. What is the speed vfinal of the electron when it is 10.0 cm from charge 1? Express your answer in meters per second.
According to the question,
The speed of the electron when it is 10.0 cm from charge 1 is 11.33 m/s.
What is the electron?
The electron is a subatomic particle that carries a negative electric charge. It is the lightest of all the particles that make up matter. Electrons are found in all atoms, and they are responsible for chemical bonding between atoms. Electrons are found in a cloud surrounding the nucleus of an atom, and they are always moving. The size of the electron is much smaller than the size of the nucleus. Electrons travel in orbits around the nucleus, and each orbit has a certain amount of energy. Electrons are also involved in many physical and chemical reactions, such as the production of heat, light and electricity. Electrons play an important role in the structure of atoms, and they are essential for life as we know it.
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A highway curves to the left with radius of
curvature of 36 m and is banked at 25 ◦
so
that cars can take this curve at higher speeds.
Consider a car of mass 1091 kg whose tires
have a static friction coefficient 0.87 against
the pavement.
How fast can the car take this curve without
skidding to the outside of the curve? The
acceleration of gravity is 9.8 m/s
2
.
Answer in units of m/s.
Velocity at which the car can take the curve without skidding to the outside of the curve is approximately 29.5 m/s.
How do we determine the velocity of the car without skidding outside the curve?To determine the speed at which the car can take the curve without skidding to the outside of the curve, we need to calculate the maximum force of static friction that can act on the car as it goes around the curve.
The maximum force of static friction can be found using the formula:
f_max = friction_coefficient * f_norm
where f_max is the maximum force of static friction, friction_coefficient is the coefficient of static friction between the tires and the pavement (0.87), and f_norm is the normal force acting on the car.
The normal force can be found by calculating the centripetal force acting on the car as it goes around the curve, which can be found using the formula:
f_cent = m * a_cent
where f_cent is the centripetal force, m is the mass of the car (1091 kg), and a_cent is the centripetal acceleration, which can be found using the formula:
a_cent = v² / r
where v is the velocity of the car and r is the radius of the curve (36 m).
Substitute the value of a_cent in the formula for f_cent
f_cent = m * (v² / r)
Also we know that the maximum force of static friction is equal to the normal force acting on the car
f_max = f_norm = m * (v² / r)
Now we know friction_coefficient * f_norm = m * (v² / r)
so we can substitute the value of friction_coefficient and m and r
0.87 * m * g * sin(25) = m * (v² / 36)
v = √(0.87 * 9.8 * 36 * sin(25))
v = 29.5m/s
Therefore, the velocity of the car without skidding outside the curve is 29.5m/s
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particles on an x axis: q 3.20 1019 c at x 3.00 m and q 3.20 1019 c at x 3.00 m. what are the (a) magnitude and (b) direction (relative to the positive direction of the x axis)
The magnitude of the charged particles will be 1.38 x 10-10N/C
A charged particle in physics is a particle that has an electric charge. It might be an ion, such as a molecule or atom having an excess or shortage of electrons in comparison to protons. It could also be an elementary particle like as an electron, proton, or another one that is thought to have the same charge (except antimatter).
By symmetry, the vertical components of each field (caused by the two charges) cancel.
When d and y are set to 3 and 4 meters, respectively, the horizontal components (both pointing in the direction of -x) sum up to a magnitude of
Ex.net = 2lqld 4лε (d² +y²)³/2
2(8.99 × 10°N.m²/C²)(3.20 × 10-19℃)(3.00 m) [(3.00 m)2 + (4.00 m)2] 3/2
= 1.38 x 10-10N/C.
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Consider an ideal spring that has an unstretched length l_0. Assume the spring has a constant k. Suppose the spring is attached to an cart of mass m that lies on a frictionless plane that is inclined by an angle theta from the horizontal. Let g denote the gravitational constant The given quantities in this problem are l_0, m, k, theta, and g. a) The spring stretches slightly to a new length l>l_0 to hold the cart in equilibrium. Find the length l in terms of the given quantities. b) Now move the cart up along the ramp so that the spring is compressed a distance x from the unstretched length l_0. Then the cart is released from rest What is the velocity of the cart when the spring has first returned to its unstretched length l_0? c) What is the period of oscillation of the cart?
The length of the spring in equilibrium is l = l0 +(mgsin(theta)/k in terms of the given quantities
a) The length of the spring in equilibrium can be calculated using the spring's force equation, F = -k(l-l0).The force exerted by gravity on the cart is mgsin (theta), which must be equal to the force exerted by the spring in order to achieve equilibrium. Setting these two forces equal to each other and solving for l gives:
l = l0 +(mgsin(theta)/k
b) When the cart is released from rest, it will have potential energy stored in the spring. This potential energy can be converted into kinetic energy as the spring expands. The velocity of the cart when the spring has first returned to its unstretched length can be found using the conservation of energy. The potential energy stored in the spring when the cart is released is (1÷2) kx2, and the kinetic energy at the point when the spring returns to its unstretched length is (1÷2) mv². Setting these two equal to each other and solving for v gives:
sqrt(2kx÷m) = v
c) The period of oscillation of the cart is the time it takes for the cart to complete one full oscillation. T = 2pisqrt(m/k) can be used to calculate it.
2pisqrt(m÷k) = T
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A 500 N fruit cellar runs up a flight of stairs, 15 M high, and 14 seconds. Calculate the power generated by the fruit seller. Round to one decimal.
Answer:
Explanation:
The power is calculated by the equation Power = Work/Time.
Work = Force x Distance
Work = 500 N x 15 m = 7500 Nm
Time = 14 seconds
Power = 7500 Nm/14 s = 535.7 W (rounded to one decimal).
What are the x- and y-components of the velocity vector shown in the figure?
Part A
Express your answer with the appropriate units.
ANSWER: vx =
Part B
Express your answer with the appropriate units.
ANSWER: vy =
The x- and y-components of the velocity vector shown in the figure are -50m/s and -86.6m/s respectively.
A velocity vector is defined as the rate of position change of an object. The magnitude of a velocity vector gives the speed of an object while the vector direction gives its direction. The horizontal velocity component (Vx) refers to the influence of the velocity in displacing the projectile horizontally. The vertical velocity component (Vy) refers to the influence of the velocity in displacing the projectile vertically.
The Vx = VcosƟ and Vy = VsinƟ where Ɵ is the angle between the velocity vector and x-axis
In the given case, V = -100m/s
Vx = VcosƟ = -100cos60 = -50 m/s
Vy = VsinƟ = -100sin60 = -86.6 m/s
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A stone was thrown horizontally at a speed of 5.0m/s from the top of a cliff 78.4 m high
a. how long does it take the stone to hit the bottom of the cliff
b. how far from the base of the cliff does the stone strike the ground
c. what are the horizontal and vertical components of velocity of the stone as it hits the ground
The time taken to reach ground will be 4 sec, stone hits 20 meters from base of cliff, and final velocity in Y axis is 39.2 m/s.
What is the definition of a velocity simple?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
Given:
Speed of stone = 5.0 m/s
Hight = 78.4 m
(a).
The stone is horizontally thrown, the initial vertical velocity will be zero.
[tex]h=u_y(t)+\frac{1}{2} gt^2[/tex]
[tex]78.4=0(t)+\frac{1}{2} (9.8)t^2[/tex]
[tex]78.4=4.9t^2[/tex]
[tex]t^2=16[/tex]
[tex]t=4sec[/tex]
(b).
Now, Range (R) will be,
[tex]R=u_x(t)[/tex]
[tex]R=5*4[/tex]
[tex]R=20 meters[/tex]
(c).
The horizontal component of velocity will still remain 5 m/s because there is no acceleration in X axis.
But in Y axis, we can say,
[tex]u_y=u_x+gt[/tex]
[tex]u_y=0+9.8(4)[/tex]
[tex]u_y=39.2m/s[/tex]
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I'LL GIVE A BRAINLIST FOR SHOWING WORK
What is the difference in momentum between a 50 kg runner moving at 3 m/s and a 3000 kg truck moving at a speed of 1 m/s?
The momentum of the runner:
momentum = mass x velocity = 50 kg x 3 m/s = 150 kg*m/s
The momentum of the truck:
momentum = mass x velocity = 3000 kg x 1 m/s = 3000 kg*m/s
The difference in momentum between the runner and the truck:
difference in momentum = momentum of truck - momentum of runner = 3000 kgm/s - 150 kgm/s = 2850 kg*m/s
So, the difference in momentum between the 50 kg runner moving at 3 m/s and the 3000 kg truck moving at a speed of 1 m/s is 2850 kg*m/s
True or False?
If the cart is moving on the positive x axis, the x-component of velocity must be positive.
The given statement is false, the cart is moving on the positive x axis, the x-component of velocity must be positive. The magnitude and the direction both define it.
What exactly is speed?The definition of velocity is the change in displacement with respect to time. Speed is a vector quantity. This element is time-based. The x and y components of velocity at any angle are determined.
Given both magnitude and direction, velocity is a vector quantity. The relationship between displacement and velocity is known as the velocity dependence.
The cartesian coordinate, however, specifies the displacement direction. In contrast to an object moving along a negative x-axis, the cart moves along a positive x-axis and has a positive velocity.
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