The vectors 2i+3j+k and 3i+2j+k have a cross product of i+j-5k.
The cross product of two vectors in three dimensions is a binary operation. The result is a vector that is perpendicular to both vectors. The two vectors a and b are combined to form the symbol A B.
There are two vectors: 3i+2j+k and 2i+3j+k.
Finding the cross product of two separate vectors is required.
i(3×1 -2×1) -j(2×1 -3×1)+k(2×2-3×3)
= i(3-2)-j (2-3) +k (4-9) (4-9)
=i+j-5k
Any two vectors' cross product will always show how far apart they are from one another in a given direction. cross product of two vectors, always in three dimensions. Any two or three vectors can be crossed to always produce a vector.
The result of two vectors is therefore =i+j-5k.
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Correct Question:
What will be the cross product of the vectors 2i + 3j + k and 3i + 2j + k?
Which example provides a complete scientific description of an object in motion? question 7 options: the hiker followed the north trail a distance of two kilometers in thirty minutes. The tiger had to run at 50 kilometers per hour across the field to catch the zebra. The hockey player sent the puck flying toward the north goal to score the winning point. The vibration of the jackhammer broke through the south-facing rock in under 10 seconds.
Answer: Thus, the correct option for this question is D.
What do you mean by Motion?
--A Motion may be characterized as a type of phenomenon through which an object or thing may change its position with respect to the time duration.
-- Physically, it may be defined in terms of displacement, velocity, acceleration, speed, etc.
--The vibration of the jackhammer broke through the south-facing rock in under 10 seconds describes the process of oscillation.
-- The hockey player sent the puck flying toward the north goal to score the winning point illustrating the force.
--The tiger had to run at 50 kilometers for an hour across the field to catch the zebra deals with the motion but in future. But now, a tiger is in the rest state.
Therefore, the correct option for this question is D.
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What is kinetic energy Mcq?.
The energy a thing has when it is moving is known as kinetic energy. Kinetic energy is calculated using the following formula: K.E. m = particle mass and v = velocity.
We can see from the following formula that kinetic energy depends on mass and velocity. The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force.
After the work is finished, energy is transferred to the item, which then moves at a new, constant speed. A particle or an item that is in motion has a sort of energy called kinetic energy. If energy is transferred via work.
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Correct Question:
What is kinetic energy ?.
Sunlight is reflected, absorbed, and transmitted by earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches earth's surface? select the two correct answers. (1 point).
Sunlight is reflected, absorbed, and transmitted by Earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches Earth's surface is Ultraviolet Light and Visible Light.
What is solar radiation?The three forms of solar radiation—visible, ultra violet, and infrared—are separated based on their wavelength and intensity.
Visible radiationSince radiation is visible to people, it has a name. It focuses a lot of the energy from the sun and is the most basic type of electromagnetic radiation.
Ultraviolet radiationThe least quantity of solar energy is present in ultraviolet rays. Because of its shorter wavelength, it is not visible.
Infrared radiationNearly 50% of solar energy is included in infrared radiation, which is likewise invisible to humans. It is longer than light since its length ranges from 780 nanometers to 1 millimeter.
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The complete question is as follows:
Sunlight is reflected, absorbed, and transmitted by Earth's atmosphere. Which are the chief constituents of the electromagnetic energy that reaches Earth's surface? Select the two correct answers.
Radio Waves
Ultraviolet Light
Far Infared (lower energy Infared)
Near Infared (higher energy Infared)
Visible Light
determine the magnitude and coordinate direction angles of the resultant force
It's important to have a clear understanding of vector sum and trigonometry concepts to be able to determine the magnitude and coordinate direction angles of the resultant force.
The vector sum can be found by adding the vectors head-to-tail, which means that the tail of one vector is placed at the head of the next vector. The vector sum is known as the Resultant force.
To find the magnitude of the resultant force, we use the Pythagorean theorem, which states that the magnitude of the vector is equal to the square root of the sum of the squares of the vector's components. In other words,
|R| = √(Fx^2 + Fy^2 + Fz^2)
To find the direction angles of the resultant force, we use the trigonometric functions. The coordinate direction angles are the angles between the positive x, y, and z-axes and the projection of vector onto the xy, yz, and xz planes.
The angle with the x-axis is arctan(Fy/Fx)
The angle with the y-axis is arctan(Fz/Fx)
The angle with the z-axis is arctan(Fz/Fy)
It's worth noting that these angles are measured in a counterclockwise direction and that these angles are not unique, you can add or subtract multiples of 360° to get the same vector.
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What is the SI unit of gravitational force and gravity?.
The SI unit of measurement for gravity is called a newton since it is a force (N). The force required to accelerate a body with a mass of 1 kg by 1 m/s² is known as a newton.
The weight of an object determines how much gravitational pull it has on the Earth. An object's weight is the force acting on it in a gravitational field, and its mass is regarded as a measure of that object's inertia. The acceleration caused by gravity connects the two forces when they are applied to Earth's surface. Fg = mg.
The work (or energy expended) by a force of one newton (N) operating over a distance of one meter is equivalent to one joule (m). A force of one newton causes a mass of one kilogrammes (kg) to accelerate by one meter per second (s) per second. So, one joule is equivalent to one newton metre.
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a trolley A of mass 2kg at 5 meter per second collide with a stationary trolley B of mass 3kg after the collision the two travel together at 2 meter per second find (a) what is the momentum of A before the collision (b) what is the momentum of A after the collision (c) what is the kinetic energy of A before collision (d) what is the kinetic energy of each trolley after collision (e) during the collision A kinetic energy gained by B is less than the kinetic energy gained by A, how much kinetic energy is un accounted for?
a) The momentum of trolley A before the collision is (2 kg) * (5 m/s) = 10 kg*m/s.
b) The momentum of trolley A after the collision is (2 kg) * (2 m/s) = 4 kg*m/s.
c) The kinetic energy of trolley A before the collision is 1/2 * (2 kg) * (5 m/s)^2 = 25 J.
d) The kinetic energy of trolley A after the collision is 1/2 * (2 kg) * (2 m/s)^2 = 2 J. And the kinetic energy of trolley B after the collision is 1/2 * (3 kg) * (2 m/s)^2 = 3 J.
e) The amount of kinetic energy that is unaccounted for is the difference between the initial kinetic energy of trolley A and the final kinetic energy of trolley A and trolley B. This is 25J - (2J + 3J) = 20 J.
It's important to note that the total momentum of the system is conserved during the collision, meaning that the momentum of trolley A before the collision is equal to the total momentum of trolley A and B after the collision. Also the total kinetic energy of the system is not conserved during the collision as some of the energy is transferred to internal energy of the system and other forms of energy.
can you draw a gaussian surface that offers a simple way to compute the electric field surrounding a charged dipole?
Yes, it is possible to draw a Gaussian surface to compute the electric field around a charged dipole.
To do so, draw a closed surface that encloses the charges of the dipole and apply Gauss' Law. This will allow you to calculate the electric field at any point on the surface.
The Gaussian surface should be chosen so that it encloses both charges from the dipole, and should be large enough to ensure that the electric field is uniform across the surface. The electric field can then be calculated by using Gauss' Law, which states that the total electric flux through the surface must be equal to the charge enclosed by the surface divided by the permittivity of free space.
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A force of 20.0 N is applied to a 3.00 kg object for 4.00 seconds. Calculate the impulse experienced by the object
The impulse experienced by the object is 80.0 N-second.
What is impulse?In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. It is often stated in Newton-seconds or kilograms per second and is denoted by the symbol J.
Mass of the object = 3.00 kg
Time interval = 4.00 seconds
Force applied = 20.0 N
Hence, the impulse experienced by the object is = 20.0 N × 4.00 seconds
= 80.0 N-second.
So, the impulse experienced by the object is 80.0 N-second.
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Whole grains, like oats, barley, and wheat, are good sources of the b-complex vitamins. These foods are also considered very good sources of energy. Why would whole grains be good sources of energy?.
Whole grains, like oats, barley, and wheat, are good sources of the b-complex vitamins. These foods are also considered very good sources of energy, would whole grains be good sources of energy they are rich in complex carbohydrates which can be broken down for energy, and their B-complex vitamins are involved in metabolic processes that release this energy.
What is carbohydrates?A substance is a good source of energy if it is rich in complex carbohydrates.
Carbohydrate rich food substances that produce energy when broken down.They are the main stay for power in the body.Vitamin B-complex helps in carbohydrate metabolism.Deficiency of this vitamin hinders the rate at which metabolism of carbohydrate occurs.Therefore, the listed grains are good sources of energy.To know more about B-complex vitamins refer to:
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The complete question is as follows:
Whole gratis heats, barley, and wheat, are good sources of the B-complex vitamins. These foods are also considered very good sources of energy Why would whole grains be good sources of energy?
A They are rich in fats which are broken down and stored in the body through processes that require B-complex vitamins,
B They are rich in complex carbohydrates which provide energy, and their B-complex vitamins are important for transporting
these carbohydrates to cells that need energy
C They are rich in fats which can only be transported to energy producing cells with the help of B-complex vitamins
D They are rich in complex carbohydrates which can be broken down for energy, and their B-complex vitamins are involved in metabolic processes that release this energy
What are the 4 methods in finding the solution of a quadratic equation?.
A quadratic equation may be solved using a variety of approaches, including factorization, completing this same square, quadratic formula, as well as graphing.
A quadratic equation may be solved using a variety of approaches, including factorization, completing this same square, quadratic formula, as well as graphing. These were the four general approaches for solving a quadratic problem.
Quadratic equations seem to be polynomial equations with degree one of these in one variable of the form f (x) = an x 2 + b x + c where a, b, c, R and. It is the generalized case of a quadratic equation in which is referred to as the leading coefficient and therefore is referred to as the absolute term of f. (x).
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The star Betelgeuse is about 600 light-years away. If it explodes tonight, approximately when can it be observed?
The star Betelgeuse is about 600 light-years away. If it explodes tonight, approximately: we won't know about it until 600 years from now.
What is light-years?Rather than measuring time, a light-year measures distance (as the name might imply). The distance a light beam travels in a single Earth year is measured in "light-years," which is roughly equivalent to 6 trillion miles (9.7 trillion kilometers).
Because the cosmos is expanding, the light that goes the farthest is stretched the most, resulting in the object that emitted that light being farther away. The expanding cosmos is the reason we can see things up to 46.1 billion light-years away. According to a common model of the Universe, some of the most recently discovered objects may be more than 13 billion light years away.
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if you are measuring the electrical potential difference from a rectangular 9v battery, which setting should you choose for the multimeter?
If you are measuring the electrical potential difference from a rectangular 9v battery, you would choose a DC setting.
The correct setting to measure the electrical potential difference from a rectangular 9v battery is the DC volts setting on a multimeter.
This is because the battery produces Direct Current (DC) voltage, which is measured in volts (V).
When using the multimeter, you should ensure that the negative and positive leads are connected to the correct terminals on the battery, and that the multimeter is set to the correct voltage range.
This will ensure accurate readings from the battery.
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a form of energy conversion that captures heat energy from within Earth
Geothermal energy is heat that occurs deep within the earth. Geothermal energy is a clean, renewable resource that can be used for heat and electricity.
Humans can harvest geothermal energy in the following ways. A geothermal power plant uses heat from deep underground to generate steam and generate electricity. Geothermal heat pumps use heat from near the surface to heat water or heat buildings. Geothermal power plants uses the steam to generate electricity. The steam comes from reservoirs of hot water several miles or more underground. The steam spins turbines and drives generators to generate electricity. These are the features of geothermal energy within the earth.
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Avan of ma1200kg wa moving at a velocity oc 8m/ whenit wa involved in a head on colliion with alorry moving in oppoite direction. Auming that the van top after colliion ? what i momentum after colliion and what i change momentum
The momentum of the van after the collision will be -9600 kg m/s.
What is momentum?Momentum is a concept in physics that is used to describe an object's resistance to changes in motion. It is based on the principle of inertia, which states that an object will remain in a state of rest or constant motion unless acted upon by an outside force. Momentum is calculated by multiplying the mass of an object by its velocity. Momentum is a vector quantity, meaning that it has both magnitude and direction. Momentum is also conserved, meaning that the total momentum of any closed system remains constant.
Momentum is a measure of an object's mass multiplied by its velocity. Before the collision, the momentum of the van was 9600 kg m/s (1200 kg x 8 m/s). After the collision, both vehicles will be travelling in the opposite direction, meaning that the momentum of the van will be the same as before, but in the opposite direction. Therefore, the momentum of the van after the collision will be -9600 kg m/s. The change in momentum, or delta momentum, of the van after the collision is the difference between the before and after momentum, or 9600 kg m/s.
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What is the formula of linear momentum Class 9?.
P = mv is the equation for linear momentum. Conservation of momentum refers to the fact that the overall amount of momentum remains constant.
Where does momentum exist in the real world?Momentum underpins almost all motion-based actions. This principle of physics is crucial. Momentum is a word frequently used in sports. It will be challenging to stop a team that is moving forward, for example.
What is the meaning of momentum?exclusive nouns Momentum is referred to as a momentum. force, speed, or impulse, as to a material entity or series of events: The car accelerated down and accelerated.
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What unit should be used for the lever arm moment of force?.
Because moment of force (bending moment) and torque are equal to a force times a rotation distance (moment arm or lever arm), their SI unit is N*m.
A lever arm time is defined?The distance between the force's line of action and the centre of moments, also known as the second arm or lever arm, is perpendicular. Moment: M = (F) = Force x Length (d) The exact location in which the force induces rotation may be the Center of Moments.
The fundamental lever equation is what?image outcome
Levers are devices that allow for the application of a small force over a longer distance at one end while applying a high force over a shorter distance at the other.
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What do you mean by lever arm?.
Lever arm, noun (plural lever arms (physics) the separation between the axis and the force application point.
How might a lever arm look like?What else do we mean by a lever arm image,
Class 3 levers include bent arms. Elbow serves as the pivot, and the forearm serves as that of the lever arm. The forearm is bent by the biceps muscle against the gravity of the wrist and any load that the hand may be holding.
The lateral force of a beams is what?In a segment of reinforced concrete, the lever arm is the distance between the couple's lines of action that provide compressive and tensile force.
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Two tiny conducting spheres are identical and carry charges of -20.0 °C and +50.0 °C. They are separated by a distance of 2.50 cm. (a) What is the magnitude of the force that each sphere experiences, and is the force attractive or repulsive? (b) The spheres are brought into contact and then separated to a distance of 2.50 cm. Determine the magnitude of the force that each sphere now experiences, and state whether the force is attractive or repulsive.
The magnitude of the force that each sphere before contact and after contact are 1.438 x 10^16 N and 3.23 x 10^ 15 N respectively.
What is the implementation of Coulomb's law for charges at two points?According to Coulomb's law, the force of attraction or repulsion between two charged substances is inversely proportional to the square of the distance between them and directly proportional to the product of their charges. It operates along the track that unites the two charges, that are conceived of as point charges.
Q1 => -20.0 C
Q2 => +50.0 C
Distance d => 2.5cm => 0.025m
a) F= k x Q1 Q2/d2
=> 8.99 x 10^9 N.m^2/C^2 x 20 x 50/(0.025)^2
=>1.438 x 10^16 N
The force is attractive since the charges have opposite signs.
b) The charge on each sphere after contact:
=> Q= Q1 + Q2/2 => -20 + 50/2 => +15 C
Magnitude of force => F = k x Q^2/d2
=> 8.99 x 10^9 x 15^2/(0.025)^2
=> 3.23 x 10^ 15 N.
What do point charges mean?a charge of electricity that is considered to originate at a single location and so has neither area nor volume.
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Which of the following has the highest energy?
1) light with a long wavelength
2) light with an intermediate wavelength
3) light with a short wavelength
4) it is impossible to tell with the given information
The highest energy is the light with a short wavelength. Red has the least value since it has the shorter wavelengths of all visible light. Violet light has the shortest wavelength of all visible light, giving it the most energy. The longest wavelength and lowest energy are found in radio waves.
What is the coefficient of gravity?.
The gravitational coefficient (g = 9.8) is a metric used in physics to express the intensity of gravitational interactions between mass-containing objects. In the real world, this amount never changes.
On Earth, gravity (or the acceleration brought on by gravity) equals 9.81 meters per second squared due to the size of the planet and the distance between its surface and its center. The gravitational constant of the Earth is 9.8 meters per second squared.
The acceleration due to gravity is 9.81 meters per second squared. The gravitational constant, denoted by the capital G, is a physical empirical constant that is used to compute the gravitational effects in both Sir Isaac Newton's law of universal gravitation and Albert Einstein's theory of general relativity.
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Is reduce latency and improve performance good?.
Reducing server latency means your web resources load faster and improve overall page load times for your visitors.
High latency causes time delays and makes the game unenjoyable. Low latency is ideal as it means you can experience/performance smoother gameplay. In general, acceptable latency (or ping) is 40-60 milliseconds (ms) or less, but speeds over 100ms usually mean noticeable delays while gaming. Low\reduced latency means there is a strong and reliable network connection, reducing the chance of connection loss or delays. Latency refers to the delay in time, so good network latency means low latency. Longer response time (higher latency).
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Calculate the resultant of two forces that act on a point, as indicated in the diagram. (193 N 355") F. - 200 N 40⁰ F₁ = 150 N 25°
The free-body diagram should have coordinate axes. Make x and y components out of the forces acting on the item. The x and y components of all forces should be added to determine the x and y components of the resultant force. Finally, using its x and y components, determine the magnitude and direction of the resulting force.
How to find the resultant force?The resultant force can be calculated using Newton's Second Law if we are aware of an object's mass (m) and the acceleration (a) that the forces acting on it cause. Indeed, Newton's Second Law states that the force F alone is what causes an object with mass m to accelerate.
F = ma
Our outcome force is this force F. Thus, we can write:
R = ma
Which implies that the resultant force R has the same direction as a and an amount equal to the product of ma.
For instance, if five forces are applied to a 1.5 kilogram box, causing it to accelerate to a north-west speed of 2.0 m/s2, the resulting force will be focused in that direction and have a magnitude of 1.5 kg x 2.0 m/s2 = 3.0 N.
To find the force that results from the forces acting on an item, we frequently need to know the acting forces.
According to experiments, the resultant force R is the vector sum of the forces that are acting on an object at the same time (F1, F2,... ):
R = F1 + F2 + ...
The forces have been represented as vectors, which is more complicated because vectors have a magnitude and a direction that we need to take into account when computing the total. Note that this is not only the sum of the force magnitudes.
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What is Newton's 3 law formula?.
The formula of Newton's third law is given by T = m g, where T is tension, m is mass, g is acceleration due to gravity. It is given by the statement, every action has equal and opposite reaction.
Every time one body exerts force on another, the receiving body experiences an opposing force that is both equal to and greater than the applied force.
If object A exerts a force on object B, then object B is required to exert an equal and opposite force on object A.
Some of the examples are bouncing a ball, firing a gun, sitting on a chair, movement of a rocket, etc.
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a body of mass 150 g thrown vertically upwards from the ground of velocity 15 m per second at a height of 40 m the initial kinetic energy of the body is?
The initial kinetic energy of the body is 16.875 kg m² / s²
What is Kinetic Energy?The equation for kinetic energy states that it is the product of the magnitude of the velocity squared, or speed squared, and 1/2 the mass of the item. It is defined as the effort required to accelerate a mass-determined body from rest to the specified velocity.
Examples showing how kinetic energy is changed into and out of different forms of energy may help people better understand kinetic energy.
Calculate the initial kinetic energy of the body -
Conserving he energy, we get
Kinetic energy = 1/2 × m × v²
M = 150g = 0.150 kg
v = 15m/s
⇒K. E = 1/2 × 0.150 × 15²
⇒ K.E. = 16.875 kg m² / s²
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What are the three parts of a proof?.
Induction proofs always include three components. The foundation, inductive hypothesis, and inductive step are these.
What Makes a Two-Column Proof?1) Mathematical statements are written in the first column.
2) You should list the justifications for your statements in the second column.
3) The sentences are numbered and are presented in a logical sequence.
Any evidence must have both statements and reasons, which are its two essential parts. The statements are the assertions you make throughout your proof that lead to the conclusion that you are trying to support. a methodical explanation that leads to a conclusion concerning a geometric assertion using definitions, axioms, postulates, and previously established theorems. Direct proofs and indirect proofs are the two main categories of proof.
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what events generate the p wave, qrs complex, and t wave?
The P wave results from atrial depolarization. The QRS complex is a result of ventricular depolarization and indicates the start of ventricular contraction. signals the beginning of ventricular relaxation.
What does a neuron depolarize?The opening of sodium channels within in the plasma membrane of neurons causes depolarization, a rapid rise in potential that is an all-or-nothing event. The opening of sodium potassium channels is what causes the subsequent repolarization, or return to resting potential.
What takes place during depolarization?Its gated sodium ion channel on the neuron's membrane quickly open during in the depolarization phase, letting sodium ions (Na+) from the outside flood inside the cell. The nerve's intrinsic charge drops from -70 mV towards -55 mV when the sodium ions enter the cell fast.
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When unraveling the unit circle, the sine function creates a relationship between the.
The sine function establishes a connection between the vertical distance and y-axis when the unit circle is unraveled.
How are a sine wave and a circle connected?
We can visualize the sine wave's shape by rotating a line in a circle. The vertical distance between the circle's center and the line's end serves as our gauge for the sine wave's amplitude. The speed at which the line is spinning determines the frequency of the sine wave that results.The relationship between the x- and y-axes is established by the cosine function. The sine and cosine functions can be applied to any set of real numbers. These distances are computed using the vertical distance ratio.To learn more about the sine function, go to:
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What will happen to 4G phones when 5G comes?.
The functionality of 4G devices will not change. While they invest in the rollout of 5G, mobile companies are expected to keep existing 4G network operational.
Your smartphone could be a 3G device if it is older than a few years.To find out if your cell operator intends to phase down its 3G services, check with them.
With the introduction of fifth generation, or "5G," technology, cellular network are getting an upgrade. Consumers may anticipate new apps and enhanced user experiences, just as in prior generations.
Beyond mobile phones, significant improvements in connection made possible by 5G could enable applications such as telemedicine and aiding local communities in managing resources like traffic lights and water supply. A increasing number of connected devices will be supported by 5G, which is anticipated to boost the effectiveness and quality of all the goods and services that customers already use and enjoy. Other possible uses include self-driving automobiles, virtual reality, and augmented reality. Find out more about what to anticipate once 5G arrives:
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What is the rate of acceleration of the object between 0 and 4 seconds?.
Between 0 seconds and 4 seconds, the object rate of acceleration is 1 m/s². Thus, the correct answer is D.
The rate of acceleration of an object can be calculated by using the formula:acceleration = (final velocity - initial velocity) / time.In this case, the initial velocity is 1 m/s, the final velocity is 5 m/s, and the time is 4 seconds. Therefore, the calculation would be:
acceleration = (5 - 1) / 4 acceleration = 1 m/s²This means that the object is accelerating at a rate of 1 m/s² between 0 and 4 seconds. This can also be visualized as the object's velocity increasing by 1 m/s every second.
This question should be provided with answer choices, which are:
A. 1 m/sB. 0 m/s²C. -1 m/s2D. 1 m/s2The correct answer is D.
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600 joules of work is used to lift a box from the ground to a height of six meters.
The work that would have been done if a lever with a 12 metre effort arm and a 6 metre load arm had been used is 50 J. As a result, option A is the correct answer.
What is the work done by the lever?A lever is a simple machine that facilitates and accelerates work. When a lever is used, a small amount of effort is required to overcome a large load.
When the output force exceeds the input force, the machine's efficiency increases.
The formula for calculating a machine's efficiency is
Eff = (output force / input force) x 100%.
The output force is calculated as
F (out) = load x distance moved by load.
The input force is calculated as
F (input) = effort x distance moved by effort.
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is calculated as;
work = ( 600 × 6 ) / ( 12 x 6 )
work = 50 J
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Complete question:
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load
arm of 6 meters? († point)
O 50 J
O 100 J
O 600 J
0 72 J