15 POINTS!
Match the scientists with their inventions or discoveries.

1 .
Oersted
batteries
2 .
Westinghouse
magnetism/electricity
3 .
Faraday
induced currents
4 .
Edison
light bulb
5 .
Volta
alternating current electricity

The MJ used per person is 580MJ when traveling alone in a car uses 3.6mj of energy per kilometer and if four people go on a trip of 400 miles.

Given the total distance travelled (d) = 400miles

The energy used per kilometer = 3.6MJ

We know that 1 mile = 1.61km

Then 400 miles = 400 x 1.61 = 644km

Given 1km = 3.6MJ

Then 644 km = 644 x 3.6 = 2318MJ

The energy that the car uses per person per for 400 miles is calculated as the division of the total energy used (2318 MJ) and the number of occupants (four).

energy per person = 2318/4 = 580MJ

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Answer:

F = G Mm/r²

Explanation:

Gravitational force is given by the product of the gravitational constant and the product of masses of both objects, divided by the square of the distance between them.

If you know, there is a gravitational force that acts between EVERY object in the universe, but how big is it? Well, Newton wanted to figure that out too!

When Newton was trying to formulate a relationship between the gravitational force that acts between two objects, he found that the gravitational force is directly proportional with the product of the masses of the objects, and inversely proportional to the square of the distance between them.

We get now F ∝ Mm/r²
To get rid of the proportionality sign, all we have to do is multiply the quantity on the right with a constant. This is the Gravitational constant (G), which was found out experimentally. The value of G is (6.6743 ± 0.00015) × 10−11 m3 kg−1 s−2

Now, our equation is F = G Mm/r²

To solve problems based on this, you have to find the values of either
1. Mm
2. r or r²
3. F
While given the rest of the values. I doubt if they would ask, but best try to remember the value of G. You can even be asked to formulate the unit of G, which is not hard as all you have to do is take G to the other side of the equation and solve it using the SI unit of other quantities.

I would always recommend Khan academy for any sort problems in theoretical understanding, so you can probably check that out.

Hope this helps you :)
Please reach out if you have any doubts on the same topic

The magnitude of the electric field on the axis of the disk at a distance of 11.3 cm from the disk's center is [tex]6.62 x 10^4 N/C.[/tex]

Yes, an electric field can affect a magnetic field. Electric and magnetic fields are closely related and can interact with each other to produce electromagnetic phenomena.

According to Maxwell's equations, a changing electric field creates a magnetic field, and a changing magnetic field creates an electric field. This means that the presence of an electric field can cause a change in a magnetic field, and vice versa.

The given numerical can be solved:

E = k * Q / (2 * R * h)

Replacing the given values, we get:

E = [tex](8.99 x 10^9 N \times m^2 / C^2) \times (196 x 10^-9 C) / (2 \times 0.103 m \times 0.113 m) = 6.62 x 10^4 N/C[/tex]

So the magnitude of the electric field on the axis of the disk at a distance of 11.3 cm from the disk's center is[tex]6.62 x 10^4 N/C.[/tex]

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Its value on Earth is 9.8 m/s2. In those other words, the acceleration of gravity at sea level on the surface of the earth is 9.8 m/s2. Discussing the acceleration of gravity, that location has an impact on the value of g.

velocity of the ball. Horizontal Range r=(ucosθ).t where t is time of flight. Substituting given values77=5.2×ucosθ⇒ucosθ=775.2=14.807ms

At a given speed, something or someone is moving. If you know how far something has traveled and how long it took to get there, you can calculate its average speed. By the distance being divided by the time, one may calculate speed. Knowing the units of distance and time is a prerequisite for calculating the units of speed.

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Answer:

Moving-iron instruments are generally used to measure alternating voltages and currents.

Explanation:

In moving-iron instruments the movable system consists of one or more pieces of specially-shaped soft iron, which are so pivoted as to be acted upon by the magnetic field produced by the current in coil.

The statement in the question is: "the mechanical stage lower knob causes the stage to move up and down." Therefore, the correct answer to the multiple-choice question is "up and down."

While the mechanical stage lower knob may also have additional functionalities, such as moving the stage right and left or back and forth, the statement in the question only mentions the up and down movement.

A mechanical knob that moves back and forth typically refers to a control or switch that can be turned or toggled in opposite directions to activate or deactivate a function or adjust a setting.

For example, a volume control knob on a stereo system can be turned clockwise to increase the volume and counterclockwise to decrease it. A light switch can be flipped up to turn on the light and flipped down to turn it off. A thermostat might have a knob that can be turned to adjust the temperature setting higher or lower.

The back and forth motion of a mechanical knob allows for easy manipulation of a device or machine, providing a tactile way to interact with it and make adjustments to its function or settings.

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Additional distance will the airplane travel during the second second of its motion will be 2.44 m.

Acceleration is defined as the rate of change of the velocity of any object with respect to the time.

The additional distance the airplane will travel during the second second of its motion can be calculated using the equation for average velocity:

v = v₀ + at

where v₀ is the initial velocity (in this case, 0 m/s), a is the acceleration (constant and unknown), and t is the time elapsed (in this case, 2 seconds).

v = v₀ + at

1.11 m = 0 m/s + a * 1 s

a = 1.11 m/s²

d = v₀ t + 0.5at²

d = 0 m/s * 2 s + 0.5 * 1.11 m/s² * (2 s)²

d = 2.44 m

So, the airplane will travel an additional 2.44 meters during the second second of its motion.

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The refrigerator use 1000 J energy in each second with a performance coefficient 0.25, a refrigerator draws 200 j from the cold reservoir every second.

The ratio of effort (energy) required to usable heating or cooling provided is known as the coefficient of performance, or COP, of a heat pump, refrigerator, or air conditioning system. More COPs translate into greater effectiveness, less energy (power) usage, and hence cheaper operational costs.

We know that,

Coefficient of performance(COP) = Q/W = 0.25 (Given)

Q =  removal of energy from the cold reservoir = 200 J (Given)

W = work done in each second

Hence,

W = Q/COP = 200/0.25 = 800

Now the total energy in use (E) = removal of energy + work done

Hence,

E = Q+W = (200 + 800) J = 1000 J.

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An object is 10 m above the ground and is moving at 10 m/s. it has only potential energy.

The above statement is False.

Potential energy is the power held in reserve by a moving object.

The mass of the item determines the gravitational potential energy

(PEgrav = m•g•h), whereas the spring constant and the length of the spring's compression or stretch determine the elastic potential energy (PEelastic = 0.5•k•x2).

The mass of an object determines how much gravitational potential energy it has.

An object will possess more potential energy the higher it is.

Like the equation states that

PEgrav = m•g•h, meaning that PE and height are closely correlated.

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The linear speed of the tip is 0.5174 times the speed of sound or 51.74% of the sound’s speed.

A physical device, like a microphone, can be used to measure the sound pressure, or the amplitude of the spectrum components can be used. The total sound level of the signal is given by the square roots of the amplitudes of all the spectral components added together.

Hertz are used to measure frequency (Hz). This refers to the number of pressure waves per second that would pass a fixed place in the case of sound. It is also the same as the frequency at which the sound-transmitting particles vibrate every second. A sound with a frequency of 10 Hz would cause 10 waves to pass a given location in 1 second.

a) Angular velocity, ω = 350 rev/min

= 350 rev/60 s = 5.833 rev/s

1 rev = 2π rad

5.833 rev/s = 2 π x 5.833 rad/s

= 36.652 rad/s

Acceleration = r ω²

= 4.8 x (36.652)²

= 6448.14 m/s²

b) velocity = rω

= 4.8 x 36.652

= 175.93 m/s.

V tip/V sound = 175.93/340 = 0.5174

= 51.74%

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The magnitude of the electrostatic force between the two charges is found to be 0.096N.

The 7.10 nC charge is located 1.67 m away from a 4.22 nC point charge.

The force between the objects will be equal, it means that the electrostatic force between them will be equal measured from any charge in a particular medium.

The formula for the force is,

F = KQ₁Q₂/d²

Where,

Q₁ and Q₂ are the magnitude of the charges,

K is the constant,

d is the distance between them,

Putting values,

F = 9 x 10⁹ x 7.10 x 4.22 x 10⁻¹²/(1.67)²

F = 0.096N

So, the electrostatic force between them is 0.096N.

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Never attempt to bypass an electrical load with a fused jumper wire.

A jumper wire is an electric cable used to link distant printed circuit board electric circuits. It is possible to short-circuit and jump to the electrical circuit by connecting a jumper wire to the circuit.

Jumper cables are two separate wires with enough capacity and alligator clips on the ends to connect a car's dead battery. Every automobile owner should have jumper cables on hand since they will prevent stress and save time in the event of an emergency.

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truck is moving at approximately 3369.48 kilometers per hour. Speed = (2 * frequency shift * speed of light) / (outgoing frequency + returning frequency)

The Doppler effect is the change in frequency of a wave due to the motion of the source relative to the observer.

where the speed of light is approximately 299,792,458 meters per second.

Plugging in the given values, we get:

Speed = (2 * 18,100 Hz * 299,792,458 m/s) / (97,000,000,000 Hz + 18,100,000 Hz)

Speed = (937,188 m/s)

Converting the speed from meters per second to kilometers per hour:

Speed = (937,188 m/s) * (3600 s/hr) / (1000 m/km)

Speed = 3369.48 km/hr

So the truck is moving at approximately 3369.48 kilometers per hour.

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The supplied statement states that the sphere seems to have a density of 750 kg/m³.

Any physical object in touch with another one has the ability to exert forces on it. We refer to these friction coefficient by various names depending on the kind of contact surfaces. If a ribbon, thread, cable, or string is one among the objects exerting the force, that force is referred to as tension.

Here,

Let V be the sphere's volume

and the density of the spehere is p

density of water , pw = 1000 Kg/m^3

Tension in the rope , T = p * V * g/3

want the sphere to be in balance

T + Weight = buyoant force

p * V * g/3 + p * V * g/3 = pw * V * g/3

p/3 + p = 1000

p = 1000/(4/3)

p = 750 Kg/m^3

The density of the sphere is 750 Kg/m^3

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The complete question is-

A sphere completely submerged in water is tethered to the bottomwith a string. The tension in the string is one-third the weight ofthe sphere.What is the density of the sphere in kg/m^3?

"Constant returns to scale" refers to a situation where an increase in all inputs leads to a proportional increase in output.

In the context of "constant returns to scale," the term "constant" refers to the proportionality between the increase in inputs and the increase in output. If an increase in inputs results in a proportional increase in output, it is referred to as "constant returns to scale.

" This means that the relationship between inputs and outputs remains unchanged, regardless of the size of the inputs. The term "constant" in this context refers to the fact that this relationship is constant and does not change over time.

"Constant returns to scale" describes a situation where an increase in all inputs of a production process leads to a proportional increase in output. In other words, if inputs are doubled, output will also double, maintaining the same average cost per unit of output.

This property is useful in analyzing the behavior of large-scale production processes and determining the optimal level of inputs for maximum efficiency.

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Answer:

[tex]\huge\boxed{\sf P = 2592\ Ns}[/tex]

Explanation:

Mass = m = 162 kg

Velocity = v = 16 m/s

Momentum = P = ?

P = mv

Put the given data in the above formula.

P = (162)(16)

P = 2592 Ns

[tex]\rule[225]{225}{2}[/tex]

To double the potential, you need to move the point where the potential is being calculated a distance of 1.41 times the original distance from the charge.

The potential of a point charge is given by the formula V = k * q / r, where k is the Coulomb constant (8.99 x 10^9 N m^2/C^2), q is the charge, and r is the distance from the point charge to the point where the potential is being calculated. If you want the potential to double, you need to find the new distance, r', such that:

V' = 2 * V = 2 * k * q / r

Solving for r':

r' = r * sqrt(2) = r * 1.41

Charge refers to a property of matter that determines its interaction with other charged objects. It is a basic physical property of matter that determines its behavior in an electric or magnetic field. There are two types of charges, positive and negative. A positive charge has a surplus of electrons, while a negative charge has a deficit of electrons. These charges can either attract or repel each other based on their type of charge.

Charge is a conserved quantity in the universe, meaning that the total amount of charge in a system remains constant, it cannot be created or destroyed. In electrical circuits, charge is typically carried by electrons, which flow through conductors. The flow of charge creates an electric current, which can be used to power electrical devices. In addition, charge also determines the behavior of particles in a magnetic field, such as the deflection of a charged particle in a cathode ray tube.

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As the distance between the plates increases, the electric field decreases, which leads to a decrease in the capacitance. In other words, increasing the distance between the plates makes it harder for the capacitor to store electrical energy.

Capacitance is the ability of a capacitor (two metal plates separated by a non-conducting material) to store electrical energy. If the distance between the two plates of a capacitor is increased, the capacitance will decrease.

Capacitance and electric current are related in that capacitance can store and release electrical energy, which can result in an electric current flowing through a circuit.

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Standing waves in water are produced most often by periodic water waves reflecting from a barrier. So, option B is correct alternative.

Nodes and antinodes serve as the defining features of standing waves. The particle's amplitude of vibration is greatest at its antinodes and least at its nodes. Different patterns can be created by the vibration of a string. Each pattern is known as a harmonic because it correlates to a specific frequency's vibration. The fundamental frequency, also known as the first harmonic, is the frequency at which the string vibrates at its lowest level and produces a standing wave. The frequency of each harmonic is determined by the wave's wavelength and speed.

Standing waves have the following traits:

1) The standing waves remain still. No direction is affected by the disturbance.

2) Nodes, or points of zero amplitude, and antinodes, or places of greatest amplitude, are characteristics of standing waves.

3) There won't be any energy flowing through the medium at all.

4) At the node and antinodes, respectively, the pressure change is greatest.

5) Any particle in the medium oscillates with a period that is identical to the component waves.

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Outputs the idea that the combined influence of two or even more forces can be larger than sum of those forces' individual effects is encouraged by an open system. The term "outputs synergy" refers to this.

High entry and exit barriers are two examples. as in telecommunications and electricity. Entry barriers are high while departure barriers are modest. for instance, consulting and instruction. Entry barriers are low, but exit barriers are significant. Among others, hotels and ironworks.

Fostering entails caring for something. Crayons could be given to each kid in order to encourage creativity in the classroom. A child can also reside temporarily in your house if you foster them.

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The correct question

An open system fosters the idea that two or more forces combined create an effect that is greater than the sum of their individual effects.

It would take her 200 metres at a speed of 2.64 metres per second to cross the river in 75.76 seconds. She drifts downstream for that period of time at a rate determined by her speed relative to the beach, or 2.64 m/s * 75.76 s = 198.6 m. Mary would therefore be 1.4 metres away from where she had planned to land.

The most often used unit of speed in daily life is the kilometre per hour (km/h), or miles per hour in the US and the UK. The SI's unit of speed is indeed the metre per second (m/s) (mph). If you are aware of how far an object travels in a specific amount of time, you can calculate its speed. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

You muscles lack strength, intimidation, and might without speed. only for decoration and to help friends who are carrying heavy stuff. The good news is that you may boost your speed with the right kind of fitness training. Knowing that not everything needs to be done at the same pace is a very helpful life lesson. Going quickly can occasionally result in the least amount of productivity. Understanding how to slow down helps you appreciate life more, create a better life plan, and, in the long run, increases your productivity.

In addition to her rowing speed of 2.4 m/s to the north, Mary also experiences a relative speed of 2.4 m/s to the east when she is facing due north. Her speed in relation to the coast is therefore V = (2.4 + 1.12) = (5.7 + 1.21) = (6.0) = 2.64 m/s.

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From a location 1.20 meters above the circular path, a particle flows horizontally is uniform circular motion upward into the air at a speed of 13.5 m/s.

The orbits of the planets are approximately round. Comets have varied shaped orbits. They are extremely irrational or "squashed." They resemble thin ellipses more than they do circles. The moon is one of the satellites that orbits the Earth, but its distance from the planet is not constant.

An electron encounters a force that is opposite to the magnetic field's direction and velocity if it moves toward a region with a constant magnetic field (B). Similar to a centripetal force, this force The electron's travel force has a propensity to curve and follow a circular path.

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In the projectile motion, if air resistance is ignored, the horizontal motion is at constant velocity.

When an item is moving, its velocity is the rate at which it is changing position as seen from a certain point of view and as measured by a specific unit of time.

If air resistance is ignored, then there is no acceleration in the horizontal direction in projectile motion. Hence the particle moves with constant velocity in the horizontal direction.

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In the projectile motion , if air resistance is ignored , the horizontal motion is at

This indicates the astronaut is moving backward at a rate of 0.092 m/s.

The principle of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act on the system. In this case, the astronaut and the wrench form a closed system, so their total momentum before the throw must equal their total momentum after the throw.

Here,

Before the throw, the total momentum of the system is 0, because the astronaut is motionless. After the throw, the total momentum of the system is given by the momentum of the astronaut in the opposite direction to the throw, plus the momentum of the wrench in the direction of the throw.

The momentum of the astronaut can be calculated as the product of the astronaut's mass and velocity:

p = m * v where m is the mass of the astronaut, and v is the velocity of the astronaut.

The momentum of the wrench can be calculated as the product of the wrench's mass and velocity:

p = m * v

where m is the mass of the wrench, and v is the velocity of the wrench.

By conservation of momentum, the total momentum before the throw must equal the total momentum after the throw, so we can write:

0 = (100 kg * v) + (2 kg * 4.6 m/s)

Solving for v, we get:

v = (-2 kg * 4.6 m/s) / 100 kg = -0.092 m/s

This means that the astronaut moves backward at a speed of 0.092 m/s.

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A student plots data for the velocity of a body versus the time on a graph and the area under the curve on the graph may be identified as average speed.

Average speed is a key component in determining how long a journey will take. In essence, average speed serves as a tool for calculating the rate of travel time and distance. It is clear that the pace will fluctuate throughout the travel, making determining the average speed even more crucial. The average speed of a vehicle or item can be determined in a number of ways. The following lists the average speed finder that is most frequently used.

Of all the methods for determining average speed, this is the most popular and one of the simplest. It is most preferable in situations where the object's speed remains constant during the voyage, meaning it never rises nor falls.

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The motorist was driving to lunch in a car he knew had no working headlights. On the way there he was struck by another driver who had driven 20 m.p.h. exceed the speed limit posted on that road section. He suffered injuries and his car was badly damaged. Jurisdiction makes it a misdemeanor to drive a vehicle that does not have operating headlights. If a rider brings an action against another driver and the above facts are established, he will prevail because the other driver violated the speeding statute, and the motorist’s damages will not be reduced despite his violation of the headlight statute (option B)

The motorist will recover all of his damages because the other driver’s violation of the statute constituted negligence per se. A clearly stated duty created by a criminal statute may replace the more general duty of care if the proponent of the statutory standard shows that (i) he is in a class intended to be protected by the statute, and (ii) the statute was designed to prevent the type of harm that was suffered. Here, the motorist can establish that the statutory standard regarding speeding should be applied against the other driver because the speed limit was posted, the motorist, as a fellow driver, is in the class intended to be protected by the statute, and it was designed to prevent accidents such as that which occurred.

The question is incomplete, it should be:

A motorist was driving to a luncheon in a car that he knew did not have operating headlights. On the way there he was rear-ended by another driver who had been driving 20 m.p.h. over the speed limit posted on that stretch of road. He suffered personal injuries and his car was extensively damaged. The jurisdiction makes it a misdemeanor to drive a vehicle that does not have operating headlights.

If the motorist brings an action against the other driver and the above facts are established, will he prevail?

(A) Yes, because the other driver violated the speeding statute, but the motorist’s damag- es will be reduced because of his violation of the headlight statute.

(B) Yes, because the other driver violated the speeding statute, and the motorist’s damages will not be reduced despite his violation of the headlight statute.

(C) No, because the motorist’s violation of the headlight statute constitutes negligence per se.

(D) No, because the motorist has not estab- lished that driving 20 m.p.h. over the speed limit created an unreasonable risk of injury to others.

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At a point x distance from a point charge Q, the ratio between the strength of the electric field and the strength of the electric potential will be 1/x.

The electric field can be calculated from the electric potential if it is known at all points in a given area of space. The electric field is represented in vector calculus notation as E = grad V, where grad V is the electric potential's gradient.

The equation specifies how much force will be exerted on a wire carrying current I and having length L in a magnetic field. is the angle formed by the wire and the magnetic field in the equation F=ILBsin. Considering that the field and curve are perpendicular to the force,

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Using energy concepts, The speed of m3 after it moves down 4.5 m is 66.15 m/s.

Mass of the objects;

m1= 5 kg

m2= 10 kg

m3=15 kg

Distance: h = 4.5m

The change in gravitational potential energy of the mass must same with the change in kinetic energy of the mass. So:

(m3-m1) ×g×h=(15-5) ×9.8×10^-2×4,5 =½×(m1+m2+m3) ×v²

=10×9.8×10^-2×4, 5=0, 5 × (5+10+15) ×v²

v= 66.15 m/s

Batteries and human fatigue are both affected by energy. Energy is the ability to do business (work) and experience change. These changes can be in the form of changes in position, changes in motion, changes in temperature, changes in the state of matter, even changes in living things, such as growth and development are also included in it.

If the energy runs out, then an object will not be able to do work (effort). Humans can feel tired after doing activities, because humans use energy. So, humans rest and consume food and drink to restore lost energy.

In international units, the unit of energy is the joule. In addition, to express energy in the form of heat (heat), calories and kWh are used to express electrical energy.

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