To understand electrical currents we need to understand

She moves at 6.5 m/s as her final speed after running 100 meters.

The velocity change of an object per unit of time is known as acceleration. Amounts of acceleration are measured in meters per second squared (m/s2), the SI unit of acceleration. For instance, due to Earth's gravity, a falling object accelerates at a rate of 9.8 m/s2.

A straight-line motion issue looks something like this. These formulas are used to determine the final velocity:

s = Vo*t + (1/2)*a*at2, and Vf = Vo + at

Where:

Vf = = final speed =?

1.4 m/s is the initial velocity, and 0.20 m/s is the acceleration.

100m displacement in 2 seconds.

the first equation is changed by:

100 = 1.4t + (1/2)*0.2*t^2\st = 25.388s

Vf = 1.4 + 0.2 can be used as a replacement in the second equation.

Vf = 6.5m/s

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To find the acceleration, angular momentum, torque, and angle of an object subject to a force and moving towards the origin, we need to know the velocity and force vectors of the object.

The acceleration of the object can be found by taking the derivative of the velocity vector with respect to time. If the object is moving towards the origin, the acceleration vector would be in the opposite direction of the velocity vector.

The angular momentum of the object about the origin can be found by taking the cross product of the position vector of the object and its velocity vector. The angular momentum is a vector quantity that is perpendicular to both the position and velocity vectors.

(c) The torque about the origin acting on the object can be found by taking the cross product of the position vector of the object and the force vector acting on it. The torque is a vector quantity that is perpendicular to both the position and force vectors.

The angle between the velocity of the object and the force acting on it can be found by taking the dot product of the velocity and force vectors and dividing by the magnitudes of both vectors. The angle between the two vectors is measured in radians and can be used to determine how much the force is affecting the velocity of the object.

It's important to note that all these calculations are vector calculations and they are all performed in three-dimensional space and require knowledge of vector calculus and physics.

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B. The springs stretched to double the original displacement, is the the statement that best describe the effect this had on the springs.

The displacement is the shortest distance in geometry and mechanics between the initial and final positions of a point P. From the starting position to the ending position of the point trajectory, it measures the length and direction of the net motion, or total motion, in a straight line. A displacement can be discovered by using the translation that joins the starting point and ending point.

Another way to define a displacement as a relative position is the relationship between a point's final position, or xf, and its starting position, or xi (resulting from motion). The corresponding displacement vector can be defined by the difference between the starting and final positions:

                                            [tex]$ s=x_{\textrm {f}}-x_{\textrm {i}}=\Delta {x}}$[/tex]

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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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According to the given information the velocity is .0148 m/s2 and the kinetic energy is 3.78 J.

The movement that an item or particle experiences with regard to time is expressed vectorially as velocity. One metre per second (m/s) is the accepted unit of flow speed (also known as speed).

The metric speed unit is the meter per minute (m/s). A different way to express velocity magnitude is in centimeters per second (cm/s).

vilocity = 5/(5.8×5.8)

            = 0.148

kinetic energy = 1/2mv^2

                        = 1/2 × (0343 × 0.148×0.148)

                        = 3.78 J

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The bike messenger's velocity will be 1 m/s.

Given as per the question is,

Distance between school and the blue house is 2160 meters

Time taken by the bike messenger is 36 minutes

Velocity is to be calculated.

Converting minutes into seconds,

36 minutes = 36 X 60 = 2160 seconds.

Velocity of an object can be calculated by the formula as,

Velocity = Distance/ Time

Substituting the values as per the formula above,

Velocity = 2160/2160 = 1 m/s

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The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 0.7, and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 0.9.

What is nucleus?

Nucleus is a fundamental subatomic particle which is present in the atoms of all chemical elements. It is composed of protons and neutrons and is the heaviest and most densely packed constituent of atoms. It is the core of an atom, and it is the positive charge that attracts the electrons, which are negatively charged particles. The nucleus is surrounded by a cloud of electrons which determine the properties of the atom and its chemical behavior. The size of the nucleus is typically around one hundred-thousandth of the diameter of the atom. It is held together by strong nuclear forces and has a diameter of around 10-15 femtometers.

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The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 1/2 and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 7/8.

The total number of identical nuclei present in the nucleus affects how likely it is that the nucleus will disintegrate per second in a radioactive sample. Each nucleus breaks down on its own, regardless of any external factors. Consequently, the likelihood of nuclei disintegrating is the same.

The expression for the disintegration equation is given by

N(t) = N₀[tex]e^{-\lambda t}[/tex]            .... (1)

The half-life of the particle for 5 hours is given by

N(5) = N₀/2

Substitute in equation (1) to get

N₀[tex]e^{-\lambda t}[/tex] = N₀/2

[tex]e^{-\lambda t}[/tex] = 1/2

λ = ln2/5

The half-life of a particle for 10 hours is given by

N(10) = N₀/4

N₀[tex]e^{-\lambda t}[/tex] = N₀/4

[tex]e^{-\lambda t}[/tex] = 1/2

λ = ln4/10

The probability of disintegration is given by:

P = N(5) - N(10)/N(5)

Substitute the values, to get

P = (N₀/2 - N₀/4)/(N₀/2)

= (N₀(2-1)/4)/ N₀(1/2)

= 1/2

The probability of element decay between 5 to 10 hours is 1/2.

Now, the half-life of a particle for 20 hours is given by

N(20) = N₀/16

N₀[tex]e^{-\lambda t}[/tex] = N₀/16

[tex]e^{-\lambda t}[/tex] = 1/16

λ = ln16/20

The probability of disintegration is given by:

P = N(5) - N(1\20)/N(5)

Substitute the values, to get

P = (N₀/2 - N₀/16)/(N₀/2)

= (N₀(8-1)/16)/ N₀(1/2)

= 7/8

The probability of element decay between 5 to 20 hours is 7/8.

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When the distance between the plates is decreased to 1.90 mm, the capacitance of the capacitor will increase and the energy stored in the capacitor will also increase.

However, since the voltage across the plates is not given, it is not possible to calculate the energy stored in the capacitor after the separation of the plates has been changed

The below equation gives the capacitance of a parallel-plate capacitor.

C = ε * A / d

Where ε is the dielectric constant of the material between the plates, A is the area of the plates and d is the distance between the plates.

The energy stored in a capacitor is given by the equation:

Energy = 1/2 * C * V^2

where V is the voltage across the plates and C is the capacitance

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The speed of the astronaut after launching our feline superhero is 1.4 m/s.

The speed of the astronaut is determined from the principle of conservation of linear momentum.

Pi = Pf

where;

86vₓ = 4.8 x (25 cos40)

86vₓ = 91.9

vₓ = 91.9 / 86

vₓ = 1.07 m/s

The vertical component of the speed;

86vy = 4.8 x (25 sin40)

86vy = 77.1

vy = 77.1 / 86

vy = 0.9 m/s

The resultant speed of the astronaut is calculated as;

v = √ ( vₓ² + vy² )

v =  √ ( 1.07² + 0.9² )

v = 1.4 m/s

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"At a yellow light, after checking to the rear, stop before entering the intersection or at the stop bar." If stopping safely is not possible, cautiously cross the junction.

Devices that are typically located at significant sites, such as busy junctions, are used to give out traffic signals in order to control the flow of traffic.

A yellow traffic light serves as a warning that the red signal will soon be shown. As a result, as soon as you notice a yellow light, you should begin to slow down in preparation for a red light. Additionally, if for some reason you are unable to stop, you should keep an eye out for any vehicles that may be approaching the intersection at the same moment.

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The situations is kinetic energy transformed into chemical energy by way of electrical energy is- wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.

Hence, option A  is correct.

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According to the question, the container's pressure increases but it doesn't double.

By dividing the force by the area, pressure is calculated. the use of force to oppose another force. a surface's area divided by a force applied over it. the force that the atmosphere's weight causes to be applied.

Holding a knife against a fruit piece will demonstrate pressure in an easy way. It won't cut surface of the fruit if you press the flat side of a knife against it. A sizable area is affected by the force (low pressure).

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In pan 1, when you spray the sand with water, the water will be absorbed by the sand and the sand will become more compact and dense. This is because water molecules will fill the spaces between sand particles and increase the weight of the sand.

In pan 2, when you set ice cubes on the sand, the ice cubes will begin to melt as they come into contact with the warmer sand. As the ice melts, the surrounding sand will become wet. The meltwater will also lower the temperature of the sand around the ice cubes.

The ice cubes will continue to melt until they are fully melted, and the water will be absorbed by the sand. The wet sand will be cooler than the dry sand. This process will cause a change in the temperature and moisture content of sand which can be observed and studied.

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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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Fortunately, even those who have the most severe instances of GBS eventually recover. Some people will still have some weakness when they recover.

The peripheral nervous system, or the network of nerves outside the brain and spinal cord, is mistakenly attacked by the body's immune system in the rare neurological illness known as Guillain-Barré syndrome (GBS). A person with GBS may experience anything from a very mild case with transient weakness to a nearly fatal paralysis that prevents them from breathing on their own.

Anyone can develop Guillain-Barré syndrome. Both sexes are equally prone to the illness, which can affect anyone at any age (although it tends to affect adults and elderly persons more frequently). One in 100,000 people are thought to be affected with GBS each year.

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According to the question, you would need to add a 40 µF capacitor in order to produce a total capacitance of 50 µF.

What is the capacitor?

An electrical component known as a capacitor stores energy in an electric field. It is made up of two metal plates separated by an insulator, such as air, paper, plastic, or ceramic. When a voltage is applied to the plates, a charge is stored in the electric field. This charge can then be released when the voltage is removed. Capacitors are used in a variety of applications, such as providing energy storage in power supplies, filtering signals in electronic circuits, and providing energy to motors in electrical devices. They can also be used to balance out electrical loads in a circuit, and provide a steady current for the circuit. Capacitors can vary in size, shape, and material depending on the application.

In this case, 90 µF + 40 µF = 130 µF, and 130 µF - 90 µF = 40 µF. Therefore, you would need to add a 40 µF capacitor to the 90 µF capacitor to achieve a total capacitance of 50 µF.

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The formula that shows the relationship between the surface area (S) and volume (V) for spheres is S = 4πr² and V = (4/3)πr³ where r is the radius of the sphere.

This formula shows that the surface area of a sphere is directly proportional to the radius squared, and the volume is directly proportional to the radius cubed. This means that as the radius of a sphere increases, the surface area and volume will increase at a much faster rate. For example, a sphere with a radius of 2 will have four times the surface area and eight times the volume of a sphere with a radius of 1.

The question is incomplete, hence the answer is general.

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Answer:

OC.Newton's third law of motion which states that,"every action has equal and opposite reaction."

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The study of computers and computing, encompassing the theoretical and algorithmic underpinnings, hardware and software, and applications for information processing, is known as computer science.

The study of algorithms and data structures, computer and network design, the modelling of data and information processes, and artificial intelligence are all included in the field of computer science. Since mathematics and engineering provide some of the underpinnings for computer science, it integrates concepts from those fields as well as queueing theory, probability and statistics, and electrical circuit design. As new algorithms, information structures, and computer architectures are conceptualised, designed, measured, and improved in computer science, extensive use of hypothesis testing and experimentation is also used.

Computer science is regarded as one of five distinct but related fields, including computer engineering, information systems,  information technology, and software engineering. This family has come to be known collectively as the discipline of computing.

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The formula x(t) = 4t3 + 6sin(t) provides the location of an item. Discover the object's acceleration at time t=2. The variation in velocity called the acceleration.

If x(t) = 4t3 + 6sin(t), then its derivative, v(t) = 12t2 + 6cos(t), provides the velocity (t). Then, the derivative of velocity, a(t) = 24t 6sin, gives the acceleration (t) Therefore, a(2) = 24 2 6sin(2) = 42 6sin(2) gives the acceleration at time t = 2. The overall change in velocity during the specified interval divided by the total amount of time required for the change is the definition of average acceleration over a particular period of time. It is represented as for a specific amount of time. Where is the average acceleration and v2 and v1 are the instantaneous velocities at time t2 and t1, respectively.

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The angular velocity of a point on the surface of the earth is [tex]7.3 * 10^{-5} rad/s[/tex]

What is angular velocity?

Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.

What is angular velocity and write its formula?

Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.

Every point on the earth's surface completes one circular orbit (centered at a point on the axis) in 1 day

1 day = 24x60x60

1 day=86400s

Angular velocity is given by :

[tex]w =2\pi /86400\\ w =7.3*10^{-5} rad/s[/tex]

Thus, [tex]7.3 * 10^{-5} rad/s[/tex] is the correct answer.

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Answer:

Explanation:

option 1 - A and B move with the same speed INCORRECT because the lines have different slopes

option 2 - B moves with non-uniform speed  INCORRECT because the line for B is straight

option 3 - A completes his journey early INCORRECT because A ends his journey at about 11:45 after going about 42 km. B finishes his journey at about 11:35.

option 4 - B overtakes A at 11:10 a.m.  CORRECT.  They meet at the 30 km mark at 11:10, which is where the lines intersect.

If the net force on the cart is 66.0 N, the acceleration of the cart is 1.46 m/[tex]s^{2}[/tex] .

The formula used in the second law of motion to explain the connections between force, mass, and acceleration is Mass + acceleration equals force. F = ma Calculating force in Newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s2) may all be done using this formula.

It is show that,

Mass of cart, m = 45 kg

Net force acting on cart, F = 66 N

Let a represent the rate of acceleration of the cart being pushed. Using Newton's second rule of motion, it can be calculated as follows:

F = ma

a = F/m

a = 66 N/45 Kg

a = 1.46 m/[tex]s^{2}[/tex]

So, the acceleration of cart is  = 1.46 m/[tex]s^{2}[/tex] .

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If the braking force is 10000 N, 90 meters is far the car travel before stopping.

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.

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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A revolving bar that pivots on a fixed point serves as the lever arm between F and the pivot point.

The pivot is the elbow, while the forearm acts as the lever arm. The biceps muscle exerts the effort and bends the forearm in spite of the forearm's weight and whatever additional weight the hand may be carrying. The weight is farther away from the pivot than the effort.

The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.

The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever arm generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.

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The same projectile needs the power to accelerate from rest to a launch speed of 2v at a time of 219.6 W.

power P = work/time

= ½mv² / t

P' = ½m(2v)²/t

= 4 * ½mv² / t

= 4 * P

so

P' = 4 * 54.9W

= 219.6 W  (or 220 W rounded off)

As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.

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The force between the charges are [tex]3844*10^{3} N[/tex]

                                              [tex]F = kQq/r^{2}[/tex]

Given, Q = q = 6.2 mC = [tex]6.2 * 10^{-3}[/tex]

           r = distance = 0.3m

           k = constant = [tex]9*10^{9}[/tex]

Putting these values in above equation we get F = [tex]3844*10^{3} N[/tex]

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The corresponding change in temperature on the Fahrenheit scale More than 5°F.

In the Celsius scale, a temperature change of 5 degrees K corresponds to a shift of 50 degrees C. This is due to the fact that a temperature change of one degree Celsius is equivalent to a temperature change of one degree Kelvin. Tk = TC +273.15. We can observe that the relationship between the two temperature scales is linear and that its slope is the same for each.

The degree Celsius, denoted by the symbol °C, is the unit of temperature in Celsius and is by definition equal in magnitude to the kelvin unit. A temperature difference or interval can be stated in either kelvin or degrees Celsius, and in both cases the numerical value of the temperature difference is the same. However, the relationship between the numerical value of a thermodynamic temperature represented in kelvin and a Celsius temperature expressed in degrees Celsius exists.

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the amplitude of the resultant is the amplitude of the two original waves times 1.85.

The waves add together as a result, and the amplitude at any place is equal to the sum of the amplitudes of the individual waves at that point.

The frequency of the wave produced by the superposition of two waves with comparable frequencies is equal to the average of the two. This wave's amplitude changes or beats at a frequency known as the beat frequency. By mathematically combining two waves, we can find the beat frequency.

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