A car changes its velocity from 45 km/h to 65 km/h in 3 s. Find the magnitude of its acceleration

Because momentum is a vector, a system's total momentum might be 0 if there are numerous masses. A system comprising two objects having the same amount of momentum and travelling directly toward one another, for example, will have a total momentum of zero.

Momentum is defined as a body's amount of motion. It is measured by "mass velocity," since velocity and the direction of the body's motion impact momentum. Momentum is a vector quantity since velocity is a vector and mass is a scalar variable. Momentum is defined as the product of mass and velocity. Because all objects have mass, they have momentum as they move - their mass is in motion. Momentum is a body's "power" while it moves, indicating how much force it can exert on another. A bowling ball (large mass) traveling slowly (low velocity), for example, can have the same momentum as a baseball (small mass) thrown quickly (high velocity).

Here,

Because momentum is a vector, the overall momentum of a system might be 0 if there are numerous masses. A system consisting of two objects having the same amount of momentum and travelling in the same direction, for example, will have a total momentum of zero.

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Torque is calculated using the following formula: Torque = (3*EMF2)/ (4*pi*Synchronous Speed*Reactance). When the rotor rotates at its fastest speed, the maximum running torque occurs.

It achieves mathematical equivalence between rotor reactance per phase and rotor resistance per phase. Torque is spelled with the letter T. This scenario is conceivable if the value of the denominator shown below equals zero. The maximum torque is thus produced when, while the motor is running, the rotor reactance per phase is equal to the rotor resistance per phase. When the value of sX 20 = R 2 is entered, equation (1) is transformed into the equation for maximum torque. The rotor's stationary reactance and maximum torque are inversely connected.

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(a) The maximum torque the crane can withstand is 16,691.2 N m.

(b) The maximum load of the crane is 956.1 N.

What is the maximum torque the crane withstand

The maximum torque the crane can withstand if the maximum load the crane can handle is 864 N is calculated as follows;

τ = rF x cosθ

where;

The maximum torque the crane can withstand is calculated as follows;

τ = 20 m x 864 N x cos (15)

τ = 16,691.2 Nm

The maximum load of the crane is calculated as follows;

F = τ  / rcosθ

F = ( 16691.2 ) / ( 20 x cos 29.2 )

F = 956.1 N

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Ceres has a radius of 476 kilometers, which is 1/13 the radius of Earth. If the Earth were the size of a nickel, Ceres would be the size of a poppy.

Ceres is the dwarf planet in the inner solar system. Ceres is a rock-and-ice object with a diameter of 950 km and is the smallest dwarf planet ever discovered. Ceres' mass is one-third the mass of the asteroid belt between the orbits of Mars and Jupiter. Ceres was discovered by the Italian astronomer Giuseppe Piazzi on January 1, 1801 and was classified as an asteroid at the time, but it was the first asteroid discovered.

As a planet, On August 24, 2006, the International Astronomical Union (IAU) decided to change Ceres to a "dwarf planet" along with Pluto, Sedna, and Makemake in the Kuiper belt.

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Answer:

Point C

Explanation:

At point c, he is moving at constant velocity.

change in velocity is zero, this acceleration is zero.

The highest order number that can be observed with a grating is determined by the equation:

mλ = d(sin θ + sin θi)

where m is the order number, λ is the wavelength of light, d is the spacing between the lines on the grating, θ is the angle of incidence, and θi is the angle of diffraction.

Given that the grating has 1555 lines/cm, and the wavelength of light is 565 nm, we can use this equation to find the highest order number:

mλ = d(sin θ + sin θi)

m = d / λ

m = 1555 lines/cm / (565 nm/1cm)

m = 2.76

The highest order number that can be observed with this grating is 2.76. It's noteworthy that the order number is a positive number and it will not be a whole number, this means that it's not possible to observe the order number exactly 2.76 but it's the highest possible number that can be observed.

Answer:

11

Explanation above

The term "rate of change" refers to the pace at which one quantity changes in respect to another. Rate of Change = Change of Y = Change of X = Change of Distance = Change of Time = 1608042=802=401.

How rapidly something changes over time is referred to as its rate of change, or ROC. Therefore, rather than the size of each change individually, it is the rate—or the acceleration or slowdown of changes. In finance, rate of change is employed to comprehend price returns and spot trend momentum.

A line's slope, rise over run, or change in over change in represent the rate of change for that line. A table's two points or a graph's slope triangle can be used to compute the slope.

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The Kinetic Energy for any of the object is 3802.5 J.

An object's kinetic energy grows as its mass does. The speed of the object is given by v. The relationship shown above shows that the kinetic energy of an item is directly proportional to the product of its mass and velocity.

Possible justification: Because of the strong relationship between kinetic energy and speed, an object's kinetic energy rises as its speed rises. Kinetic energy and speed have a nonlinear (square) proportional relationship (KE v2). 1.

The kinetic energy of an item increases by a factor of four as its speed doubles. 2. The kinetic energy of the object decreases by a factor of 4 as the object's speed is halved.

Here consider 45 kg = mass

v= 13 m/s

Here Kinetic Energy = ?

KE = 1/2mv^2

KE = 1/2(45)(13)^2

KE = 1/2(45)(169)

KE = 1/2(7605)

KE = 7605/2

KE = 3802.5 J

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The peak value is 176.77 volts. The crest value is another name for the peak value.

The stable Potential Difference value that would produce the same amount of heat in a given resistance in a given time as A.C. voltage when maintained across the same resistance for the same time is known as the root mean square, or R.M.S. value, of Alternating voltage.

Impedance and switching speed are increased to reach the peak voltage. Peak voltage is calculated along the horizontal axis, at the so-called crest of the waveform at the top of the waveform.

The waveform thus reaches a positive peak value at 90 degrees and a negative peak value at 270 degrees in one full cycle. The peak value of an alternating waveform is the highest value it can reach in a single cycle.

Given:

RMS value = 125 volts

Peak value = RMS value × √2

Peak value = 125 × √2

Peak value = 176.77 volts

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A solenoid is an electrical output device that converts electrical energy into a linear mechanical force.

A solenoid is a device that uses an electromagnet made of a wire coil to transform electrical energy into mechanical energy. Electric current is used to generate a magnetic field, which is then used to generate linear motion in the device.

A solenoid functions by creating an electromagnetic field around an armature, which is a movable core. The electromagnetic field causes that armature to move, and as it does, it opens and closes valves or switches, converting electrical energy into mechanical motion and force.

Electronic paintball markers, pinball machines, matrix printers, and fuel injectors are among the devices that frequently use electromechanical solenoids. Solenoids are even present in some residential doorbells, wherein the armature strikes metal chime bars while the coil is electrified.

What is electrical energy?

Electrical energy is the force that results from the transfer of electrons between two points. Current or electricity is the flow of charged particles along or through a medium such as a wire. The basic unit of electrical energy is the joule, also known as the watt-second. Electric energy is used in things like lightning, batteries, and even electric eels.

What is mechanical energy?

Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores as a result of its position. Renewable energy is also fueled by mechanical energy.

The combination of an object's stored energy (potential energy) and its kinetic energy (moving energy) results in mechanical energy. For example, turning a doorknob, breathing in and out, and hammering a nail.

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The complete question is-

A ___ is a device that converts electrical energy into a linear mechanical force.

The combined mass of the Cessna and passengers is 44.9 kg.

The quantity of matter in an object is expressed in terms of mass. It is typically measured in kilograms or grams, though other units such as pounds or ounces can also be used. Mass is distinct from weight, which is a measure of the force of gravity acting on an object. Mass is an inherent property of an object and does not depend on the environment or gravity, while weight is affected by gravity and can change depending on location.

The combined mass of the Cessna and passengers can be found by using the equation for potential energy, PE = mgh, where m is the combined mass, g is the h is the height, g is the gravitational acceleration. Rearranging the equation to solve for m, we get m = PE/gh. Plugging in the given values, we get m = 860 J/(2 km x 9.8 m/s2), which equals 44.9 kg. Therefore, the combined mass of the Cessna and passengers is 44.9 kg.

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The magnitude of a vector minus another vector B is not defined, as vectors have both magnitude and direction and cannot be subtracted from one another.

The magnitude of a vector minus another vector B is not defined, as vectors have both magnitude and direction and cannot be subtracted from one another. If you would like to find the difference between two vectors, you can subtract their components (x,y,z) individually.

Also you can find the distance between them by doing vector subtraction and then finding the magnitude of the resultant vector.

To describe the difference between two vectors A and B, you can subtract their individual components. For example, if vector A has components (x1, y1, z1) and vector B has components (x2, y2, z2), the difference between the two vectors would be described by the following:

(x1 - x2, y1 - y2, z1 - z2)

This resulting vector is often referred as A-B.

Alternatively, you can also find the distance between two vectors A and B by taking the Euclidean distance between their tail points, which is the square root of the sum of the squares of the differences of the x, y, and z components. This is known as the magnitude of the vector A-B.

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Answer:

2.9s

Explanation:

When object was dropped from some height, it displacement

h=v_i t+(at^2)/2=(gt^2)/2

So

t=√(2h/g)=√((2×42)/9.8)=2.9 s

The qubit, as opposed to the traditional bit, serves as the fundamental unit of information in quantum computing. This alternative system's key feature is that it allows for the coherent juxtaposition of ones and zeros.

A quantum bit, or qubit, is the binary digits or bit in classical computing's quantum counterpart. A qubit is the fundamental informational building block of a quantum computer, just as a bit is in a classical one.

Making better descisions is made possible by quantum computing's ability to process massive amounts of data, as shown in applications like fraud detection, facial recognition, and object recognition.

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The carbon-12 isotope's theoretical atomic mass is given here (6 protons and 6 neutrons). As a result, 1 mole of carbon is exactly equal to the atomic mass or weight of carbon, which is 12 grams.

Pure carbon(^-12) have 12 grams weigh exactly one mole, which is equal to 6.022 x 10^23 atoms in that amount of carbon. • Avogadro's Number is the number of particles in a mole (6.0221421 x 10^23).

To translate molecular weights into grams, there are three processes.

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The weight of the object of mass 50 kg on Earth is 490 N.

The amount of substance contained in a thing is defined as its mass. The kilogram is its SI unit (kg). The amount of force with which an object is attracted by the earth is defined as its weight. The SI unit of weight is Newton(N).

We have:

Mass of object (m)

m = 10 kg.

Gravitational acceleration on earth (g)  = 9.8m/s²

Weight(W)= mg  N

⇒ W = 50 kg × 9.8 m/s²

⇒ W = 490 N

Therefore, the weight of the object of mass 50 kg on earth is 490 N.

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Angular momentum is a vector quantity whose direction is perpendicular to the plane of revolution.

Angular momentum is the rotational equivalent of linear momentum in physics. It is an important physical quantity because it is a conserved quantity—in a closed system, the total angular momentum remains constant. Both the direction and magnitude of angular momentum are conserved. The property of any rotating object given by moment of inertia times angular velocity is defined as angular momentum. It is the property of a rotating body determined by the product of the rotating object's moment of inertia and angular velocity. An object's angular momentum is the product of its rotational inertia and angular velocity. The angular velocity of an object is the rate at which it turns.

Here,

Angular momentum is a vector quantity with a perpendicular direction to the plane of revolution.

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Answer:

Torque is zero when the angle between the force and the lever arm is [tex]0^{\circ}[/tex] or [tex]180^{\circ}[/tex].

Explanation:

Assume that the force in this question is applied on a lever. Let [tex]\theta[/tex] denote the angle between the force and the lever arm, and let [tex]r[/tex] denote the length of the lever arm.

The equation for the torque [tex]\tau[/tex] that this force [tex]F[/tex] exerts on the lever would be [tex]\tau = F\, r\, \sin(\theta)[/tex].

If [tex]0 \le \theta \le 180^{\circ}[/tex], [tex]\sin(\theta) = 0[/tex] either when [tex]\theta = 0^{\circ}[/tex] or [tex]\theta = 180^{\circ}[/tex].

Therefore, as long as neither the force [tex]F[/tex] nor the distance [tex]r[/tex] is zero, torque would be zero only if the angle [tex]\theta[/tex] is either [tex]0^{\circ}[/tex] or [tex]180^{\circ}[/tex].

Refer to the diagram attached. In torque calculations in general, [tex]\theta[/tex] is the angle between:

In the general case [tex]r[/tex] would measure the distance between this point and the axis of rotation.

Likewise, using the equation [tex]\tau = F\, r\, \sin(\theta)[/tex], torque would be zero when the angle [tex]\theta[/tex] is either [tex]0^{\circ}[/tex] or [tex]180^{\circ}[/tex].

According to the question,the electrostatic force between object 1 and object 2 is -1.35 x 10-4 N.

Electrostatic is a branch of physics that deals with the study of electric charges at rest. It focuses on the forces that are generated between particles that are charged due to the presence of electrical fields. It is also known as the study of static electricity. Electrostatic studies the behavior of charged objects in an electric field, and the forces exerted on them.

The electrostatic force between two objects can be calculated using Coulomb's law which states that the force between two objects is proportional to the product of their charges and inversely proportional to the square of the distance between them.

Using this law, the electrostatic force between object 1 and object 2 can be calculated using the following equation:

F = (kQ1Q2)/d2

Where k is the Coulomb's constant (8.99 x 109 N.m2/C2), Q1 and Q2 are the charges of objects 1 and 2, respectively, and d is the distance between the two objects.

In this case, the force between the two objects is:

F = (8.99 x 109 N.m2/C2)(-2.3 x 10-6 C)(-4.2 x 10-6 C)/(0.099 m)2

F = -1.35 x 10-4 N

Therefore, the electrostatic force between object 1 and object 2 is -1.35 x 10-4 N.

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The power of a hairdryer with a current of 4A and a resistance of 60Ω is 240W (watts).

Resistance is the opposition to the flow of electric current or the process of slowing down the flow of electric current. It occurs when electrons collide with atoms in a conductor, such as a wire. Resistance is measured in ohms and is determined by a material's electrical properties, like its cross-sectional area, length and type. Resistance can be used to control the amount of current in a circuit. It can also be used to convert electrical energy into thermal energy.

This is calculated by multiplying the current (4A) by the voltage (V = I x R, so V = 4A x 60Ω = 240V) and then multiplying the voltage by the current (240V x 4A = 240W). The power of a hairdryer is measured in watts and is the rate at which energy is used by the appliance. The higher the wattage, the more powerful the hairdryer will be.

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A solenoid is a device that converts electrical energy into a linear mechanical force.

With the assist of a plunger with an axial stroke which may move in either a push or a pull motion, linear solenoids transmit electrical energy into mechanical power. These transducers are composed of a coil of wire that is occasionally coiled around an iron core, and when a voltage is applied, it creates a magnetic field.

A long coil of wire with various turns is what constitutes a solenoid. It develops an internal magnetic field that is almost perfectly uniform when a current flows through it. Solenoids are widely applied as switches because they can transfer electric current into mechanical action. A solenoid's magnetic field is directly proportional to the product of the current that flows through the solenoid and the voltage applied to it. The product of the currents flowing around a solenoid and the number of spins per unit length of the solenoid generates the magnetic field in the core of the solenoid.

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A ___ is a device that converts electrical energy into a linear mechanical force.

The conservation of momentum principle states that the amount of momentum within a problem domain remains constant; momentum is neither created nor destroyed, but only changed by the action of forces as described by Newton's laws of motion.

The quantity of motion of the body is defined as momentum. It is measured by "mass velocity," because momentum depends on velocity, and it also depends on the direction of the body's motion. Momentum is a vector quantity because velocity is a vector and mass is a scalar quantity. Momentum equals mass multiplied by velocity. Momentum is defined as "mass moving." Momentum can be thought of as a body's "power" when it is moving, indicating how much force it can exert on another body. A bowling ball (large mass) moving slowly (low velocity), for example, can have the same momentum as a baseball (small mass) thrown quickly (high velocity).

Here,

According to the conservation of momentum principle, the amount of momentum within a problem domain remains constant; momentum is neither created nor destroyed, but is only changed by the action of forces as described by Newton's laws of motion.

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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?

Conduction, and radiation are the two mechanisms through which thermal energy is transferred. Conduction is the process of transferring heat energy from molecules in close proximity to one another.

Conduction is the method through which heat is transferred through solids without the actual particles moving. Convection is the process of heat transfer in fluids (liquids and gases) accompanied by actual particle movement.

Basically, heat transmission takes place when a body's temperature rises and falls. Three mechanisms, namely conduction, convection, and radiation, may be used to transport heat from one body to another. We need to understand the three ways that energy is transferred: convection, radiation, and conduction.

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The weight of the transformer is 138.46 N.

Weight can be calculated by dividing workdone by height

To calculate the weight of the transformer, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

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iv. Socioeconomic and political  whether or not the following are systems of power and meaning that anthropologists study through intensive fieldwork and the observation of people 's everyday lives

A subculture or group that has a common culture is the subject of ethnographic study, with the goal of creating detailed and comprehensive descriptions of the community. When doing an ethnographic study, the researcher will watch the group, describe, and then analyse the ingrained patterns.

The fundamental benefit of ethnography is that it allows the researcher to see a group's customs and culture up close. It is an effective strategy for learning firsthand about the behaviours and interactions of individuals in a certain setting.

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If two charged objects are moved from being one meter apart to being 3 meters apart. Electrostatic force and gravitational force will be weak.

The square of the distance between the two charges has a negative square root effect on the force's magnitude. The attraction or repulsion therefore weakens and drops to one-fourth of its initial value when the distance between the two charges is doubled.

According to Coulomb's law, the force exerted by two charged particles is directly proportional to the sum of their charges and inversely proportional to their distance from one another. As a result, doubling the distance would result in a 4-fold reduction in force.

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After then, the meteorite accelerates quickly to achieve its terminal speed, which is between 200 and 400 miles per hour (90 to 180 meters per second).

The meteorite then swiftly reaches its final velocity, which is between 200 and 400 miles per hour (90 to 180 meters per second). The terminal velocity is the speed at which the acceleration caused by gravity is precisely cancelled out by the deceleration caused by atmospheric drag.

Researchers first classify the sort of rock in their investigation before dating the meteorite to ascertain its origin. Nakhla indicated that it originated 1.3 billion years ago, a significant amount of time after the majority of other meteorites, which date from the Solar system's creation, 4.56 billion years ago.

Meteorites are priced and sold by the gram because they are so rare. Price is influenced by a number of factors, including demand, scarcity, supply, specimen size, specimen quality, and preparation effort. The average cost per gram of a common iron meteorite is between US$0.50 and US$5.00.

Therefore, the correct answer is option d) a typical meteorite's weight, surface area, and coefficient of drag.

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Answer: Answer below :)

Explanation:

No, it is an intensive property: the melting (and boiling) point of water does not change with the amount of water