How is the force of attraction dependent on the masses of objects and distance between them?

If all the energy stored in the capacitor is delivered in electric current, the voltage difference at which the current was delivered is 124V.

The voltage difference at which the current was delivered is equal to the voltage stored in the capacitor. In other words, if the capacitor is charged to a certain voltage, then the current delivered will be at that same voltage. So, the voltage difference is equal to the voltage stored in the capacitor in Volts.

The voltage difference at which the current is given by the formula:

V = sqrt(2E/Q)

Where, V is the voltage difference, E is the energy stored in the capacitor and Q is the capacitance of the capacitor. Thus, the voltage difference at which the current was delivered can be found by calculating the square root of two times the energy stored in the capacitor divided by the capacitance of the capacitor. This is given as:

V = sqrt(2E/Q)

Where, E = 1/2 × C × V² (energy stored in capacitor), C = 1.8 × 10^-3 F (capacitance of the capacitor), V = 120V (voltage of the capacitor)

Substituting the values above:

E = 1/2 × 1.8 × 10^-3 F × (120 V)^2 = 13.824 J

Therefore,

V = sqrt(2 × 13.824 J/1.8 × 10^-3 F) = sqrt(15360) = 124 V

Thus, the voltage difference at which the current was delivered is 124V.

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To prove that rock layers in one area match rock layers found in another area, geologists use the principles of stratigraphy, including fossil, lithologic, and chemical correlation techniques.

One way to prove that rock layers in one area match rock layers found in another area is by using the principle of stratigraphy, which is the study of rock layers (strata) and their relationships. Geologists can use several techniques to correlate rock layers between different locations, including:

Fossil correlation: If a particular fossil is found in two different rock layers at different locations, it is a good indicator that the layers are of the same age. This is because certain fossils only existed during specific time periods, and so if the same fossil is found in two different rock layers, it can be inferred that those layers were deposited during the same time period.

Lithologic correlation: Rocks can have unique characteristics that allow geologists to match them to other rocks of the same type. For example, sandstone can have unique grain sizes or shapes that can help identify it as coming from a specific location.

Chemical correlation: Some rocks have unique chemical compositions that can be used to match them to other rocks of the same type. For example, volcanic rocks can have unique isotopic signatures that can help identify them as coming from a specific volcano.

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A positive charge travelling from left to right would be deflected in an upward direction if the magnetic field is acting into the page. This is because a positive charge is affected by the magnetic field in the same direction as the right-hand rule. The right-hand rule states that if your thumb points in the direction of the magnetic field, your fingers curl in the direction of the deflection of the positive charge.
A positive charge traveling from left to right would be deflected upwards if a magnetic field is acting into the page. A magnetic field is a force that surrounds a magnet and other magnetic materials. The magnetic field's direction depends on the magnet's polarity. The magnetic field exerts a force on a moving charged particle. This force is known as the Lorentz force. The direction of the Lorentz force is perpendicular to both the magnetic field and the direction of the charged particle's motion.

As a result, a positively charged particle moving from left to right will be deflected upwards if the magnetic field is acting into the page. This is due to the right-hand rule of the magnetic force on a charged particle. The right-hand rule states that if the thumb of the right hand points in the direction of the charged particle's velocity and the fingers curl in the direction of the magnetic field, the palm points in the direction of the force on the charged particle.

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Explanation:

The reason behind using this mirror:

Concave mirrors reflect light falling on it to a single focal point. So the concave mirror used in solar cookers absorbs all the incident sunlight and reflects it to a single focal point.

Hopefully this helps! :)

Refraction is the bending of light as it passes from one medium to another with a different refractive index.

When light passes from a medium with a lower refractive index to one with a higher refractive index, it bends towards the normal (the imaginary line perpendicular to the surface of the boundary).

When it passes from a medium with a higher refractive index to one with a lower refractive index, it bends away from the normal. This bending of light is due to a change in its speed as it enters a new medium.

Refractive index is a measure of how much a material slows down light. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. The higher the refractive index, the more the material will bend light as it passes through it. Refractive index is an important property in optics and is used to calculate the angle of refraction when light passes through a boundary between two materials with different refractive indices.

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According to the Biot-Savart Law, the magnetic field of a wire depends on the distance from the wire and the amount of current flowing through the wire. The magnitude of the magnetic field is maximum when the point is equidistant from both wires in the same direction.

If there are two parallel current-carrying wires of equal radius, and they are equidistant from each other, then the magnetic field will be maximum in the central region that is equidistant from both wires. As the point moves closer to one of the wires and farther away from the other, the magnitude of the magnetic field will decrease. The magnetic field strength is also proportional to the current flowing through the wire.

When the current is increased, the magnetic field strength will also increase. This effect can be seen by bringing the two wires closer to each other while keeping the current constant. If the two wires are brought close enough, then they will attract each other, indicating the presence of a strong magnetic field.

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Answer:

To solve this problem, we can use vector addition. We can represent the velocity of the boat as a vector pointing east with magnitude 7 mph, and the velocity of the wind as a vector pointing northwest with magnitude 10 mph.

To add these two vectors, we can break the wind velocity vector into its x and y components, using trigonometry. Since the vector is pointing northwest, we know that it makes a 45 degree angle with both the x and y axes. Therefore, the x component is:

10 mph * cos(45) = 7.07 mph

and the y component is:

10 mph * sin(45) = 7.07 mph

Now we can add the x component of the wind velocity vector to the velocity of the boat, since they are both pointing in the same direction (east):

7 mph + 7.07 mph = 14.07 mph

The y component of the wind velocity vector is pointing north, while the velocity of the boat is pointing east, so we cannot simply add them. Instead, we can use the Pythagorean theorem to find the magnitude of the resultant vector:

sqrt(14.07^2 + 7.07^2) = 15.78 mph

The direction of the resultant vector can be found using trigonometry. The angle between the resultant vector and the east direction is:

tan^-1(7.07/14.07) = 26.56 degrees

Therefore, the boat is sailing at a speed of 15.78 mph in a direction that is 26.56 degrees north of east.

Explanation:

Answer: The mass of the object if it takes 726 watts of power to move an object 36 m in 14 s is 28.8 kg.

What is mass?

An object's inertia, a fundamental property, is measured by its mass, a fundamental indicator of the volume of substance inside the thing. Definitions of mass can seem circular since it since it  such a fund such a fundamental quantity and is challenging to define in terms of another.

It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram. While mass is typically thought of as an immutable feature of an item, relativistic mass must be taken into account when traveling at speeds close to the speed of light.

Given:

The Power, p = 726 watt

The Time, t = 14 sec

distance travelled, d = 36 m

Calculate the power by the given formula

p = W / t  

p = m * g * h / t  ( w = m * g* h)

726 = m * 9.8 * 36 / 14 ( g = 10 m/s^2)

m = 28. 8 kg

Therefore,  the mass of the object If it takes 726 watts of power to move an object 36 m in 14 s is 28.8 kg.

The paradox is this: if a horse pulls on a cart, and the cart pulls back on the horse with an equal magnitude force,  either possibly begin to move because the force balance.

The paradox mentioned here is resolved through the consideration of motion's relation to the interaction between objects. In order to move an object, force is required. When a force is applied to an object, it may either accelerate or decelerate. When a horse pulls a cart, the horse pulls with a force that is greater than the force the cart pulls back with, allowing the cart to move forward. However, the cart also pulls back on the horse with the same magnitude force, this force does not cause the horse to accelerate in the opposite direction. Instead, it is simply used to oppose the motion of the horse.

Therefore, both the cart and the horse can begin to move despite the force balance. The force balance is considered to be resolved in this situation since the force that the horse applies to the cart and the force that the cart applies back to the horse are not equal in nature, even though they are equal in magnitude.

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The magnetic field (B) and the area of the loop (A) are not provided in the student question, we cannot provide a specific value for the magnetic flux.

To find the magnetic flux through a loop when its plane is perpendicular to the magnetic field lines, we can use the following formula:
Magnetic Flux (Φ) = Magnetic Field (B) × Area of the loop (A) × cos(θ)
where θ is the angle between the magnetic field lines and the normal to the plane of the loop. In this case, since the plane of the loop is perpendicular to the field lines,

θ = 0 degrees.
Step 1: Calculate the cosine of the angle.
cos(0) = 1
Step 2: Find the area of the loop (A). This would depend on the shape and dimensions of the loop which are not provided in the student question.

Let's assume the area is already known.
Step 3: Determine the magnetic field (B). This value is also not provided in the student question but would be necessary to calculate the magnetic flux.
Step 4: Calculate the magnetic flux (Φ) using the formula:
Φ = B × A × cos(θ)
Step 5: Express the result to two significant figures and include the appropriate units (webers, Wb).

However, you can follow these steps to calculate the magnetic flux once you have the necessary information.

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In order to attain a center of mass at the origin, the coordinates of the 4.0 kg mass ought to be (-3 m, -2 m).

A point in a system of objects or particles that moves as if all the system's mass were concentrated there is known as the center of mass. It is the mass distribution-weighted average position of all the mass in a system.

The following formula can be used mathematically to determine the center of mass of a system containing n particles, each of which has mass mi and is located at a position vector:

R = (1/M) * (mi * ri), where M is the system's total mass and the sum is calculated across all n particles.

Solving for x and y, we get:

x = -3 m

y = -2 m

mass ought to be (-3 m, -2 m).

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The work done to slide the book across the table is 2.75 joules.

The work done is equal to the force applied multiplied by the distance moved in the direction of the force. In this case, the force applied to slide the book across the table is 5.5 N, and the distance moved is 0.50 meters.

Using the formula for work, we can calculate the work done as:

Work = Force x Distance

Work = 5.5 N x 0.50 m

Work = 2.75 J

Therefore, this means that the energy required to move the book across the table was 2.75 joules, and this energy was transferred from the person sliding the book to the book itself.

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The moment of inertia (I) of a bicycle wheel can be 0.124 kg*[tex]m^{2}[/tex]

The moment of inertia (I) of a bicycle wheel can be estimated using the equation for a thin hoop or ring:

I = M * [tex]R^{2}[/tex]

where M is the mass of the rim and tire, and R is the radius of the wheel.

Given the diameter of the wheel is 67 cm, the radius (R) is 67/2 = 33.5 cm, which is equivalent to 0.335 m. The combined mass (M) of the rim and tire is 1.1 kg.

Now, we can estimate the moment of inertia: I = 1.1 kg * [tex](0.335 m)^{2}[/tex] ≈ 0.124 kg*[tex]m^{2}[/tex].

The mass of the hub can be ignored because it's at the center and doesn't contribute significantly to the overall moment of inertia. The further away an object's mass is from the axis of rotation, the more it contributes to the moment of inertia.

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The number of electoral votes a state gets is determined by the number of senators and representatives it has in Congress.

Each state has two senators in the United States Senate, regardless of its population size. The number of representatives a state has in the United States House of Representatives is determined by its population size, as reported in the census.

The total number of electors in the electoral college is equal to the number of senators (which is 100, since there are 2 senators per state) plus the number of representatives (which is based on each state's population size and can range from 1 to 53).

For example, California, which has 2 senators and 53 representatives, has a total of 55 electoral votes, while Wyoming, which has 2 senators and 1 representative, has a total of 3 electoral votes.

This system ensures that each state has a minimum of 3 electoral votes, while larger states have more proportional representation based on their population.

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The Sun appears brighter than all the other stars because it is the closest star to Earth and also because of its relatively large size and brightness.

While the Sun is an average-sized star, it is much closer to Earth than any other star, with an average distance of 93 million miles. This proximity means that the Sun's light reaches Earth with much greater intensity than the light from more distant stars, making it appear much brighter. Additionally, the Sun's surface temperature of around 5,500 degrees Celsius makes it much brighter than most other stars, which have much cooler surface temperatures.

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The change in velocity (delta v) is equal to -8 m/s.

Delta v, the change in velocity, is calculated as the final velocity minus the initial velocity. In this case, the initial velocity is 3 m/s and the final velocity is -5 m/s, so we have:

delta v = final velocity - initial velocity

delta v = (-5 m/s) - (3 m/s)

delta v = -8 m/s

Therefore, the change in velocity (delta v) is equal to -8 m/s. This means that the football player's velocity decreased by 8 m/s over the course of 4 seconds, which corresponds to an acceleration of -2 m/s² (since acceleration is defined as the change in velocity divided by the time interval over which the change occurs).

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This route would indeed be pointed toward straight west at such an angle of 25.92 degrees. It applies the Pythagorean theorem, which says that within a right triangle, the hypotenuse's square root, which is the largest of the three, equals the product of the squares of the other sides.

Given:

[tex]D1=32km[/tex]  for Displacement 1 South

[tex]D2=72km[/tex] West for displacement two.

Inferred from the distance formula seems to be the shortest length.

D=80.06 m

that would be in that direction This route would've been pointed toward straight west at a 25.92 degree angle.

The Following Formula, or a [tex]2 + b 2 = c 2,[/tex] is really the source of the Distance Equation, where c seems to be the hypotenuse, or longest side, of a triangular shape, and a and b represent its other shorter ends of the spectrum (known as the legs of a right triangle).

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The possible wavelengths of the second type of visible light are λ = 700/(2n + 1). We do not need to know the slit spacing to answer this question.

Given that red light with a wavelength of 700 nm is passed through a two-slit apparatus. At the same time, monochromatic visible light with another wavelength passes through the same apparatus. As a result, most of the pattern that appears on the screen is a mixture of two colors.

However, the center of the third bright fringe of the red light appears pure red, with none of the other colors. We need to find the possible wavelengths of the second type of visible light. Therefore, for the third bright fringe of the red light, we have the path difference of, Δ = d sin θ = λ

Here, λ is the wavelength of light, d is the separation between the two slits, and θ is the angle between the central maximum and the third bright fringe. For the center of the third bright fringe of the red light, sin θ = λ/d = 700/2dFor the second type of visible light, the path difference of the bright fringe is Δ = (2n + 1)λ/2d

We know that most of the pattern that appears on the screen is a mixture of two colors, then the path difference must be the same for both types of light to have an overlap of fringes. Therefore, for both types of visible light,

Δ = (2n + 1)λ/2d700/2d = (2n + 1)λ/2d.

Here, we can cancel the 2d from both the numerator and the denominator.700 = (2n + 1)λλ = 700/(2n + 1). So, the possible wavelengths of the second type of visible light are λ = 700/(2n + 1). Therefore, we do not need to know the slit spacing to answer this question.

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If the moment of interia is 6.0 kg-m2 . 1.50 N-m the torque applied for the first two seconds.

As per the question statement, the moment of inertia is 6.0 kg-m².

Hence, to determine the torque applied for the first two seconds, we must know the angular acceleration.

Therefore, the angular acceleration is given by:

α=τ/I

Where α is the angular acceleration, τ is the torque, and I is the moment of inertia.

Substituting the given values, we get:

α=τ/I

⇒αI=τ

⇒τ=αI

The moment of inertia I is given to be 6.0 kg-m².

Further, the torque can be determined by calculating the angular acceleration α.

However, the angular acceleration is not provided in the question statement. Hence, we need to make some assumptions to determine α.

Let us assume that the angular acceleration is uniform i.e., constant.

Also, we assume that the initial angular velocity is zero.

Using these assumptions, we can calculate the angular acceleration as:

α=2θ/[tex]t^2[/tex]

Where θ is the angular displacement and t is the time interval.

Since the question statement does not provide the value of θ,

let us assume that the object has rotated by 90 degrees in the first 2 seconds.

Therefore, θ = 90° = π/2 radian.

Substituting the given values, we get:

α=2θ/[tex]t^2[/tex]

α=2π/[tex]2^2[/tex] =π/4\,rad/[tex]s^2[/tex]

Therefore, the angular acceleration α is π/4 rad/s².

Substituting this value along with the given moment of inertia I, we get:

τ=αI

τ=(π/4) x 6.0

τ=1.50\,N-m

Therefore, the torque applied for the first two seconds is 1.50 N-m, rounded off to two decimal places.

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Interference with the normal pattern of the electrical current is also referred to as arrhythmia.

Arrhythmia refers to an irregular heartbeat, meaning the heart beats too quickly, too slowly, or in an irregular manner. The heart's electrical signals are responsible for its rhythm. Arrhythmias are often caused by underlying heart disease.

These diseases include congenital heart disease, high blood pressure, coronary artery disease, heart valve disorders, cardiomyopathy, and many more. Heart disease, alcoholism, hyperthyroidism, electrolyte imbalances, caffeine consumption, smoking, and drug use can all cause arrhythmias.

Treatment for arrhythmias can range from simple monitoring to medication to surgery or pacemaker implantation.

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Astrology played an important part in the development of astronomy in ancient times, but it is not a science by modern standards. This statement best describes how modern astronomers view astrology.

While astrology was once an important part of early astronomy, modern science has demonstrated that there is no scientific evidence to support astrology's claims. Modern astronomy relies on empirical evidence, experimentation, and rigorous scientific methodology, and astrology does not meet these criteria. As such, astrology is not considered a science by modern astronomers, but rather a form of divination or belief system.

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A

1. Megan's average speed is  (400/seconds) m/s

The unit for average speed is meters per second (m/s).

2.

When Megan is traveling at a constant speed, the forward force on the bike is equal in magnitude and opposite in direction to the backward force on the bike according to Newton's Third Law of Motion.

B)

1.When Megan crouches down over the bike while traveling at a constant speed, the forward force on the bike remains the same, but the backward force on the bike decreases.

2. The explanation can be seen as the  forward force on Megan and her bike remains the same, as Megan's pedaling action is the same as before.

The backward force on Megan and her bike decreases because of the reduction in surface area facing the direction of motion resulting  in a net forward force on Megan and her bike, which increases their acceleration and speed.

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction.

In the  case of Megan, the forward force on the bike is generated by the pedaling action of Megan, while the backward force on the bike is due to air resistance and frictional forces acting against the motion of the bike.

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The minus 12000 N force acts on the 1800 kg object for 1.95 seconds in order to bring it to a stop from an initial velocity of 13 m/s.

Stationary refers to a state of rest or lack of motion.

We can use the following kinematic equation to solve for the time (t) that the force acts on the object:

vf = vi + at

Where

Using Newton's second law, we can find the acceleration (a) of the object:

F = ma

Where

a = F/m = -12000 N / 1800 kg = -6.67 m/s^2 (the negative sign indicates that the acceleration is in the opposite direction of the force)

Substituting the values into the kinematic equation:

0 = 13 m/s + (-6.67 m/s^2) × t

Solving for t:

t = 13 m/s / 6.67 m/s^2 = 1.95 s

Therefore, the minus 12000 N force acts on the 1800 kg object for 1.95 seconds in order to bring it to a stop from an initial velocity of 13 m/s.

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The separation between the center and the maximum or trough is known as the amplitude. The formula is x = A sin (t + ) or x += A cos (t + ), and the result is 1.02 mm.

These are a few illustrations of amplitude: The distance between a wave's peak and the still water's surface is how large of a wave it is. The density of air molecules at the core of a contraction or pulse of sounds would determine the height of a sound wave.

A periodic variable's amplitude indicates its change over a particular quarter (such as time or spatial period An non-periodic signal's magnitude was determined by its amplitude.

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It is more difficult to stop a sled carrying 2 people on than to stop a sled carrying 1 person if both have the same velocity because the sled carrying 2 people has more mass.

The greater the mass of an object, the greater the force required to change its velocity or stop it entirely.

What is the difference between mass and velocity? The difference between mass and velocity is as follows:

Mass is the amount of matter that an object possesses, whereas velocity is the rate at which an object changes position over time. Mass is a scalar quantity that represents an object's resistance to changes in motion, whereas velocity is a vector quantity that represents the rate and direction of motion.

Difficulty in stopping a sled with two persons. The sled with two people has more mass than the sled with one person. It is therefore more difficult to stop. When a sled is sliding on the snow, the force of friction between the sled's runners and the snow is what keeps it from slipping uncontrollably.

As the force of friction opposes the sled's motion, it generates a force that opposes the sled's forward movement. When there are two people on the sled, there is more mass and therefore more resistance to the opposing force created by the friction. Therefore, it is more difficult to stop a sled carrying two people than to stop a sled carrying one person.

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The speed of the small particle at point B is 4.63m/s and the particle is moving faster at point B than at point A.To solve the problem first, we calculate the kinetic energy at point A .

Kinetic energy = KEA=1/2mv²

Substituting thegivenvalues,

KEA=1/2×1.00×10⁻⁴×3.70² , KEA = 1.358×10⁻⁴J

Now, we calculate the electric potential energy at point A using the formula,U=-QV

Substituting the given values,U=7.00×10⁻⁶×140U = 0.00098 J

We then use the conservation of energy principle to calculate the kinetic energy and the electric potential energy at point B. Kinetic energy at point B = Kinetic energy at point A - Electric potential energy at point A + Electric potential energy at point B

KEB=1/2mv²=KEA+UA-UB1/2(1.00×10⁻⁴)vB² = 1.358×10⁻⁴+0.00098-UB

Substituting the given values,

1.00×10⁻⁴×vB²/2 = 1.358×10⁻⁴+0.00098-7.00×10⁻⁶×580vB² = 2.148×10⁻² vB = 4.63m/sB.

Is it moving faster or slower at B than at A?It's moving faster at point B than at point A. The speed at point B is 4.63 m/s, which is greater than the speed at point A, which is 3.70 m/s. The kinetic energy at point B is greater than the kinetic energy at point A, which implies that the particle is moving faster at point B than at point A. Therefore, the particle is moving faster at point B than at point A.

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If the intensity level by 10 identical engines in a garage is 100 dB,  the intensity level generated by each one of these engines is 90 dB. The correct answer is (b).

Here is a step-by-step explanation:
1. The intensity level (in decibels) of a combined sound is determined using the formula:Combined dB = 10 * log10(sum of the intensities of individual sounds).2. In this case, we have 10 identical engines producing the same intensity level, and their combined intensity level is 100 dB. Let x represent the intensity level of each engine. We can write the equation as:100 dB = 10 * log10(10 * intensity of one engine)

3. To find the intensity of one engine, we need to isolate x in the equation. First, divide both sides by 10:
10 = log10(10 * intensity of one engine)
4. Now, we can apply the inverse of the logarithm function, which is the power of 10 (10^x), to both sides:
10^10 = 10 * intensity of one engine
5. Divide both sides by 10:
10^9 = intensity of one engine

6. Finally, we need to convert this intensity back to decibels using the formula: x dB = 10 * log10(10^9)7. Apply the logarithm rule: x dB = 10 * 98. Calculate the value of x: x = 90 dB.So, the intensity level generated by each one of these engines is 90 dB.

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When two equal forces act on an object in opposite directions, they are known as balanced forces.

The balanced force is a system of forces that acts on an object without causing any change in motion. Balanced forces are those that do not change an object's speed or direction. If the forces acting on an object are balanced, the net force will be zero. When the net force is zero, the object is stationary or moving with a constant velocity.

Unbalanced forces are those that produce a change in an object's motion. Unbalanced forces are those that cause an object to speed up, slow down, or change direction. An object will only move if the net force acting on it is non-zero.

Two or more forces that are equal in size but opposite in direction are known as equivalent forces. When two or more equivalent forces are acting on an object, they cancel each other out, and the net force is zero.

Parallel forces are forces acting on an object in the same direction. When two or more parallel forces are acting on an object, they combine to form a resultant force that is equal to the sum of the individual forces. The direction of the resultant force is the same as that of the individual forces.

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Answer: D.

Miami-Dade

or Monroe (<-- If you have this option)

Explanation: ed mentum or plato
basically the most reddest county

Answer:

It takes exactly the same time to rise as it does to fall,

This is proven by the equation of conservation of energy.

Kinetic Energy + Potential Energ = a constant

At the top the bullet has only potential energy (in the vertical direction)

At the bottom the bullet has only kinetic energy in the vertical direction.

If the given relationship did not hold, a perpetual motion machine could be constructed that extracted excess energy from the round trip.