two charged dust particles exert a force of on each other. what will be the force if they are moved so they are only one-eighth as far apart?

By using the kinematic equation that relates the distance traveled by an object to its initial velocity, final velocity, acceleration, and time the car travels a distance of 450 meters while slowing down from 30 m/s.

A kinematic equation is a mathematical equation that relates the motion of an object to its position, velocity, acceleration, and time. These equations are derived from the principles of classical mechanics and are used to describe the motion of objects in a variety of physical contexts.

The most commonly used kinematic equations are those that describe the motion of an object with constant acceleration, which can be derived from the equations of motion of a particle under constant acceleration. These equations are:

To calculate the distance covered by the car while slowing down:

Using Kinematic equation,

d = (v_f^2 - v_i^2 ) / (2a)

where:

d is the distance traveled

v_i is the initial velocity

v_f is the final velocity

a is the acceleration

In this case, the car is slowing down, so the acceleration is negative. We can calculate the acceleration using Newton's second law:

F_net = ma

where F_net is the net force, m is the mass of the car, and a is the acceleration. Solving for a, we get:

a = F_net / m = 9500 N / 1000 kg = 9.5 m/s^2 (in the opposite direction of the initial motion)

Now we can substitute the values into the kinematic equation:

d = (v_f^2 - v_i^2) / (2a) = (0 m/s - 30 m/s)^2 / (2(-9.5 m/s^2)) = 450 m

Therefore, the car travels a distance of 450 meters while slowing down from 30 m/s.

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The system's natural frequency is 100rad/s.

The system's driving frequency is 10rad/s.

The natural frequency (ωn) of a system is the frequency at which the system will vibrate when the damping of the system is negligible and the system is disturbed from its equilibrium.The natural frequency of the system is given by the following equation:

[tex]\omega n[/tex] =[tex]\frac{2\pi}{T}[/tex]

where T is the period of oscillation.Hence, the system's inherent frequency is

[tex]\omega n = \frac{2\pi}{0.02\pi} \\= 100 rad/s[/tex]

The driving frequency (ωd) is the frequency at which an external force must be applied to the system in order to cause it to vibrate at the natural frequency of the system. The driving frequency of the system is given by the following equation:

[tex]\omega d = \frac{2\pi}{b}[/tex]

where Tb is the beat period. Therefore, the driving frequency of the system is

[tex]\omega d = \frac{2\pi}{0.2\pi} \\= 10 rad/s[/tex]

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Answer:

120 Newtons

Explanation:

Weight of an object is given by the relation

W = mg

where

W = weight

m = mass of the object

g = gravitational force or freefall acceleration

Given the numbers:
m = 75 kg

g = 1.6 m/s²

W = 75 x 16 = 120 kg m/s² or 120 Newtons

The energy of the sun originally came from the gravitational collapse of a nebula.

A nebula is a massive cloud of gas and dust known. When it gravitationally collapses, it causes the materials within it to heat up and, eventually, form a protostar. This protostar will continue to heat up and increase in pressure until nuclear fusion began in its core. This fusion of hydrogen atoms into helium releases a tremendous amount of energy, which is what powers the sun and gives it its heat and light.

So, the answer is the energy of the sun originally come from the collapse of a nebula.

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The velocity of puck 1 after the collision is 15 m/s to the east.

The total momentum of the system before the collision is equal to the total momentum of the system after the collision.

The momentum of each puck can be calculated as:

p = m * v

where

p is the momentum (in kg*m/s)

m is the mass (in kg)

v is the velocity (in m/s)

The total momentum of the system before the collision is:

p_total_before = p1_before + p2_before = m1 * v1_before + m2 * v2_before

where subscripts 1 and 2 refer to pucks 1 and 2, respectively, and "before" refers to the velocity before the collision.

Substituting the given values, we get:

p_total_before = (0.1 kg) * (15 m/s) + (0.1 kg) * (-12 m/s) = 0.3 kg*m/s

The total momentum of the system after the collision is:

p_total_after = p1_after + p2_after = m1 * v1_after + m2 * v2_after

where "after" refers to the velocity after the collision. We are given that puck 2 is going 15 m/s to the east, so the velocity of puck 2 before the collision is -12 m/s to the west, and the change in velocity is:

Delta_v2 = v2_after - v2_before = 15 m/s - (-12 m/s) = 27 m/s

The momentum of puck 2 is conserved during the collision, so we have:

p2_before = p2_after

m2 * v2_before = m2 * v2_after

v2_after = v2_before = -12 m/s

Substituting the given values and solving for the velocity of puck 1 after the collision, we get:

p_total_after = m1 * v1_after + m2 * v2_after

0.3 kg*m/s = (0.1 kg) * v1_after + (0.1 kg) * (-12 m/s)

v1_after = (0.3 kgm/s + 1.2 kgm/s) / (0.1 kg)

v1_after = 15 m/s

Therefore, the velocity of puck 1 after the collision is 15 m/s to the east.

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Bulb C goes out, Bulb A shines brighter (due to higher current), and Bulb B goes out (because to insufficient current) ( due to no current )

The term "electric current" is frequently used to describe how much electricity flows through a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A). As more electricity passes across the circuit, the ampere value increases.

Starting a car, turning on a light, using an electric stove, watching TV, shaving with an electric razor, playing video games, using a phone, and charging a mobile phone are examples of current electricity.

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The Van Allen belt is formed when High-energy particles from the Sun get trapped in Earth's magnetic field

The Van Allen belts are fields in outer space caused by Earth's magnetism. Magnetic striping is evidence of seafloor unfurling. The inner Van Allen belt is located usually between 6000 and 12 000 km (1 - 2 Earth radii [RE]) above Earth's surface, although it formed dips much near the South Atlantic Ocean. The outer radiation belt covers altitudes of roughly 25 000 to 45 000 km (4 to 7 RE).

Space scientist James Van Allen and his team at the University of Iowa were the first to locate the radiation belts, now also mention to as "The Van Allen Belts."

So we can conclude that The Van Allen belts were first discovered in 1958

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High-energy particles from the Sun get trapped in Earth's magnetic field.

option A.

The Van Allen belts are formed due to the interaction of charged particles from the solar wind with Earth's magnetic field. High-energy particles from the Sun get trapped in Earth's magnetic field, creating two belts of charged particles that encircle the planet.

The inner belt is made up of highly energetic protons, while the outer belt consists of energetic electrons. The charged particles are trapped by the magnetic field and follow magnetic field lines that are shaped like a torus (doughnut) around the Earth. This creates the Van Allen belts, which can extend several thousand kilometers into space and protect the Earth from the harmful effects of charged particles in the solar wind.

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If the index of refraction of a material is 2, it means that, 1/2 as fast in air as it does in the material. The correct answer is d.

The index of refraction of a material is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. So, an index of refraction of 2 means that light travels half as fast in the material as it does in a vacuum.

It does not have any direct relation to the speed of light in air, which has an index of refraction very close to 1, and which is commonly used as a reference medium.

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--The complete question is, If the index of refraction of a material is 2, this means that light travels,

a. 2 times as fast in the material as it does in air.

b. 2 times as fast in vacuum as it does in the material.2 times as fast in the material than it does in vacuum.

c. 2 times as fast in air as it does in vacuum.

d. 1/2 as fast in air as it does in the material.--

When the system is at rest, there are 2 forces acting on the 9 kg block.

An object experiences a push or pull as a result of interaction with another object. A force is exerted on each object when two of them come into contact. The newton, represented by the letter N, is the SI unit of force.

There are two different types of forces: contact forces and non-forces. A few examples of forces are nuclear force, gravitational force, frictional force, magnetic force, electrostatic force, spring force, and others.

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They experience the same size force. Both car and dump truck will experience the force of same magnitude. The main difference is the change in acceleration which is greater for smaller car.

Collision is when two or more objects collide with each other, either directly or indirectly. In physics, collision is defined as the interaction between two or more bodies, where the total kinetic energy of the two bodies before the collision is greater than the sum total of the entire kinetic energy of the two bodies after the collision.

Collisions can involve two or more objects and can be elastic or inelastic. Elastic collisions involve objects that bounce off of each other and inelastic collisions involve objects that stick together after the collision. Collisions can also involve two or more particles, where the particles interact and exchange energy, momentum and angular momentum.

Both car as well as the dump truck will experience the force of same magnitude.

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a) Gravity: This is a long-range force and the agent of the force is the Earth. b) Air Resistance: This is a contact force and the agent of the force is the air molecules. c) Normal Force: This is a contact force and the agent of the force is the ground.

Air resistance, also known as drag, is a type of frictional force that acts upon objects when they move through a fluid, such as air or water. Air resistance occurs when the air molecules surrounding an object collide with the object’s surface, resulting in a resistive force that opposes the object’s motion. The magnitude of air resistance is dependent on the object’s shape, size, mass, speed, and altitude. Objects with a large surface area, such as parachutes, are more affected by air resistance than objects with a smaller surface area. Air resistance increases with an object’s speed and is stronger at higher altitudes, where the air is thinner. The effects of air resistance can be seen in everyday objects, such as an airplane or a car, and can be reduced by altering an object’s shape or by decreasing its speed.

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The resolution limit of an optical system depends on both (a) The wavelength of light and (b) The diameter of the aperture. These two factors determine the diffraction limit, which is the smallest distance between two points that can be resolved by the optical system.

The wavelength of light affects the resolution limit because shorter wavelengths are able to resolve smaller details than longer wavelengths. The diameter of the aperture also affects the resolution limit because a larger aperture allows for more light to enter the system, which can improve the resolution.

The distance to the object being viewed (option c) and the distance from the aperture to the light detectors (option d) do not affect the resolution limit of an optical system. These factors may affect the overall image quality, but they do not determine the smallest distance between two points that can be resolved by the system.

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Magnitude of the electric field at a point 1 m from the particle is 400 N/C.

The magnitude of the electric field produced by an isolated charged point particle follows an inverse-square law, meaning that the field strength decreases as the distance from the particle increases. The electric field strength E is proportional to the inverse of the square of the distance r from the particle:

[tex]E = k*1/r^2[/tex]

We can use this relationship to solve the problem. If the electric field strength at a point 2 m away from the particle is 100 N/C, then we can write:

[tex]100 N/C = kQ/2^2[/tex]

where k is the Coulomb constant and Q is the charge of the particle. Rearranging this equation to solve for Q, we get:

[tex]Q = (100 N/C)(2^2/k)[/tex]

At a point 1 m from the particle, the distance is halved, so the electric field strength will be:

[tex]E = kQ/1^2 = kQ[/tex]

Substituting the value of Q we just calculated, we get:

[tex]E = (100 N/C)(2^2/1^2k) = 400 N/C[/tex]

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If the electric field between the plates of a given air-filled capacitor is weakened by removing charge from the plates, the capacitance of that capacitor does not change.

Capacitance is the amount of charge that can be stored at a given voltage by an electrical component called a capacitor.

C=Q/V

The unit of capacitance is the Farad (F)

C = εA/d,

C is capacitance; ε is permittivity, a term for how well dielectric material stores an electric field; A is the parallel plate area; and d is the distance between the two conductive plates.

electric field between two parallel conducting plates depends on the electric potential or voltage of the two plates and the distance between the two plates. So, the electric field E=Vd E = V d where d is the distance between the two charged plates.

The force on the charge is the same no matter where the charge is located between the plates. This is because the electric field is uniform between the plates.

If the electric field between the plates of a given air-filled capacitor is weakened by removing charge from the plates, the capacitance of that capacitor does not change.

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The current in the circuit is  ≈ 2.07 amperes (A)

A current circuit is a closed path through which electric current can flow. It typically consists of a power source, such as a battery or generator, a load, such as a light bulb or motor, and conductive wires or other components that connect the power source and load to form a complete path for the current to flow.

The current in the circuit can be calculated using the formula:

current = charge / time

In this case, the charge moved around the circuit is 60 coulombs and the time taken is 29 seconds. Thus, the current in the circuit is:

current = 60 coulombs / 29 seconds

current ≈ 2.07 amperes (A)

Therefore, The current in the circuit is  ≈ 2.07 amperes (A)

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While radiologists do review all the images in a study, they will typically give more attention to the area of interest in order to provide an accurate diagnosis and ensure that the patient receives the best possible care.

When a radiologist reads an MRI or CT scan, they typically review all the images in the study, not just the area of interest. This is because other areas of the body may contain important incidental findings that could impact a patient's overall health and require further investigation or treatment.

The radiologist will typically focus their attention on the area of the body that has been requested for imaging. They will thoroughly examine the relevant region, and looking for any abnormalities, injuries, or other issues that may be present.

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When two sources of waves with the same frequency are active, the path length difference must be equal to some whole multiple of the wavelength plus one half the wavelength for the waves to interfere destructively.

This is because in order for two waves to interfere destructively, they must be exactly out of phase with each other. When waves are out of phase, the crest of one wave lines up with the trough of the other, resulting in a cancellation of the waves. This occurs when the path length difference between the two waves is equal to an odd multiple of half wavelengths. For example, if the distance between the two sources is exactly one wavelength, then the waves will interfere constructively, resulting in a stronger wave. However, if the distance is increased to one and a half wavelengths, then the waves will interfere destructively, resulting in a weaker or canceled wave. This pattern repeats for all odd multiples of half wavelengths.

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Amplitude is a term used to describe a physical characteristic of some energies that is related to the height of wave peaks.

The term "amplitude" in physics refers to the strongest variation or oscillation, such as a wave or signal. It acts as a gauge for the magnitude of the change or displacement relative to rest.It just serves to represent the size or strength of a wave or signal. The relationship between a sound wave's amplitude and loudness is inverse. In terms of light, it corresponds to the intensity of the light wave.

The definition of amplitude is given as an energy measurement that is used to describe waves. An energy pulse travelling through a medium, or across empty space in the case of electromagnetic radiation, is referred to as a wave. A wave's amplitude may be thought of as a measurement of the energy it has transmitted; the more energy a wave has, the bigger its amplitude. Depending on the kind of wave, several answers can be given when asked what the amplitude of a wave is.

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The minimum possible diameter of the spot on the wall is approximately 3.05e-4 mm or 2.03e-3 m.

The minimum possible diameter of the spot on the wall, also known as the diffraction spot or Airy disk, can be calculated using the formula:

d = 2.44 * λ * L / D

where λ is the wavelength of the light, L is the distance between the aperture and the wall, and D is the diameter of the aperture.

In this case, we are not given the wavelength or distance L, but we are given the diameter of the aperture, which is 0.4 mm or 4e-4 m. We can assume a typical visible light wavelength of 500 nm or 5e-7 m and a distance L of 1 m for this calculation.

d = 2.44 * 5e-7 m * 1 m / 4e-4 m

d = 3.05e-7 m or 3.05e-4 mm

Therefore, the minimum possible diameter of the spot on the wall is approximately 3.05e-4 mm or 2.03e-3 m.

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Answer:

Resonance is a phenomenon that occurs when the frequency at which an external force is applied to an object is equal to the natural frequency of vibration of that object.

In physics, resonance is a common occurrence in mechanical, electrical, and acoustical systems.

The acceleration of a particle oscillating in a simple harmonic motion is always in the opposite direction to its velocity.

The velocity is at its greatest point and the acceleration (a) has zeroed out at the equilibrium position. Simple harmonic motion can be distinguished by its variable acceleration, which is always pointing in the direction of the equilibrium position and is inversely proportional to the displacement from the equilibrium position.

It is a specific kind of periodic motion with two extremes as its boundaries. Simple pendulum oscillation and the spring-mass system are two examples. The object will continue to oscillate around a fixed point between two extreme points.

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A Hilbert-transform filter is used to generate an SSB signal.

A Single Sideband (SSB) signal is generated by filtering one sideband of a modulated signal and suppressing the other sideband and the carrier signal. The most common way of generating an SSB signal is by using a Hilbert-transform filter.

This filter is used to shift the phase of the modulated signal by 90 degrees, effectively converting the upper sideband to the lower sideband, or vice versa. By filtering out one of the sidebands, the SSB signal can be generated. Therefore, option C is the correct answer.

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--The complete question is, What type of digital signal processing filter is used to generate an SSB signal?

A. An adaptive filter

B. A notch filter

C. A Hilbert-transform filter

D. An elliptical filter--

The law of conservation of energy states that energy cannot be created or destroyed, but it can be changed from one form to another. Therefore, option c is the correct answer.

explain about law of conservation of energy ?

This law is one of the most fundamental principles of physics and states that the total amount of energy in a closed system remains constant over time, even though it may be transformed from one form to another (such as from potential to kinetic energy).

This law is based on numerous observations and experiments, and it has important implications for understanding the behavior of physical systems, including the ability to predict the outcomes of many physical processes.

The law of conservation of energy states that energy cannot be created or destroyed, but it can be changed from one form to another. Therefore, option c is the correct answer.

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By measuring the height of the waveform in the time domain or the magnitude of the frequency components in the frequency domain, the amplitude (a) of the modulated waveform may be calculated.

A lower frequency message signal modulates a high-frequency carrier wave in amplitude modulation (AM), creating a modulated waveform. The carrier frequency (fc), the modulating frequency (fm), the modulation index (m), and the amplitude (a) may all be recognised in the frequency domain representation of an AM waveform (a).

The frequency in the middle of the band that the modulated waveform occupies is known as the carrier frequency (fc). Usually, this is the frequency domain representation's highest frequency component.

Finding the frequency difference between the sidebands of the modulated waveform will reveal the modulating frequency (fm). Namely, the modulating frequency is the product of the carrier frequency and the frequency, divided by two.

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Therefore, the answer to this question is that it cannot be determined without more information.

The answer to this question can be determined by comparing the velocity of the two objects.

The formula for momentum is:

We can rearrange this formula to solve for velocity:

We can plug in the given values:

For the other object, we do not have enough information to determine its velocity. We would need to know its mass and momentum in order to calculate its velocity and compare it to the horse's velocity. Without this information, we cannot determine which object is moving faster. Therefore, the answer to this question is that it cannot be determined without more information.

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Answer:

[tex]2\; {\rm \Omega}[/tex].

Explanation:

The lower case "[tex]r = 1\; {\rm \Omega}[/tex]" in the circuit diagram indicates that the internal resistance of this [tex]12\; {\rm V}[/tex]-battery is [tex]1\; {\rm \Omega}[/tex].

In practice, the rated [tex]12\; {\rm V}[/tex] voltage drop across this battery is split across not just the resistors in the external circuit, but also across the internal resistance of the battery.

The voltameter in this circuit measures the voltage drop across the [tex]3\; {\rm \Omega}[/tex] resistor and the unknown resistor [tex]R[/tex]. The voltage drop across the internal resistance and the other resistor (a total of [tex]1\; {\rm \Omega} + 4\; {\rm \Omega} = 5\; {\rm \Omega}[/tex]) would be [tex]12\; {\rm V} - 6\; {\rm V} = 6\; {\rm V}[/tex].

Divide the voltage drop by the resistance to find the current:

[tex]\begin{aligned}I &= \frac{V}{R} \\ &= \frac{6\; {\rm V}}{5\; {\rm \Omega}} = 1.2\; {\rm A}\end{aligned}[/tex].

Since this circuit is serial, current would be the same everywhere in the circuit. Given that voltage drop across the [tex]3\; {\rm \Omega}[/tex] resistor and the unknown resistor is [tex]6\; {\rm V}[/tex], the resistance of that part of the circuit would be:

[tex]\begin{aligned}\frac{6\; {\rm V}}{1.2\; {\rm A}} = 5\; {\rm \Omega}\end{aligned}[/tex].

Subtract the [tex]3\; {\rm \Omega}[/tex] from the resistance to find the value of [tex]R[/tex]:

[tex]R = (5\; {\rm \Omega} - 3\; {\rm \Omega}) = 2\; {\rm \Omega}[/tex].

Force magnitude when elevator is traveling at constant velocity is, 637 N. Force magnitude does the scale read when the elevator slows to a stop is,  429 N (downward force). Force magnitude when elevator starts downward again is, 208 N.

Force magnitude when elevator is traveling at constant velocity, 65 kg x 9.8 m/s^2 = 637 N (upward force)

When the elevator slows to a stop with an acceleration of magnitude 2.0 m/s^2, the net force acting on the student is the sum of the gravitational force and the force exerted by the scale.

Net force: (65 kg) x (2.0 m/s^2) = 130 N (downward force)

Force magnitude when elevator slows to a stop: 637 N - 130 N = 507 N (upward force)

When the elevator starts moving downward again with an acceleration of magnitude 2.0 m/s^2, the net force is difference between the gravitational force and the force exerted by the scale,

Net force: (65 kg) x (9.8 m/s^2 - 2.0 m/s^2) = 429 N (downward force)

Force magnitude when elevator starts downward again: 637 N - 429 N = 208 N (upward force)

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When two particles, groups of particles, or solid objects move in the same direction and get close enough to each other to interact, they collide.

Even though the particles are travelling swiftly in all directions, collisions between them occur more frequently than in gases because of the closer proximity of the particles.

The equation relating velocity and radius is [tex]= \omega =\frac{v}{r}[/tex]

Because the equation can also be used to determine angular velocity

[tex]\omega = 2 \pi[/tex]f we can set the equations equal and solve for the velocity.

[tex]\frac{v}{r} = 2 \pi f[/tex]

[tex]v= 2 \pi f r[/tex]

Since we are given the radius of  [tex]5000 m[/tex] And the frequency of [tex]2Hz[/tex], we can calculate the velocity. (Frequency can be found by the number of times an object travels around a full circle in one second).

[tex]V = 2 \pi (2hz) ( 5000 m) = 2 \pi \times 10^4\frac{m}{s}[/tex]

As an alternative, we can calculate the collider's circumference using its radius.

[tex]C = 2\pi r = 2\pi 5000= 10000\pi[/tex]

Every second, the particle does two full rotations.

[tex]v = \frac{d}{t} = \frac{2(10000\pi )m10^4\frac{}{}}{1s}= 2\pi\times 10^4 \frac{m}{s}[/tex]

Therefore, [tex]2\pi\times 10^4 \frac{m}{s}[/tex]  is the velocity of particle while travelling.

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(a) The maximum tidal range (spring tide) occurs during a new moon and full moon phases because the sun and moon's gravitational pulls are aligned and amplified.

(b) The minimum tidal range (neap tide) occurs at first-quarter and third-quarter moons because the sun and moon's gravitational pulls are at right angles.

(a) As the sun and moon's gravitational pulls are aligned and amplified during the new moon and full moon phases, the maximum tidal range, or spring tide, occurs during these periods. With the moon and sun on opposing sides of the Earth, the sun, moon, and Earth are all in a straight line during a new moon. Due to the moon's proximity to Earth, its gravitational pull on the planet is at its greatest. Due to its alignment with the moon and Earth, the sun's gravitational pull also contributes to this. A broader tidal range results from the seas bulging due to this alignment, which also generates higher peak tides and lower low tides.

(b) As the sun and moon's gravitational pulls are at right angles during the first and third quarters of the moon, the shortest tidal range, or neap tide, occurs at these periods. With the sun and moon on opposing sides of the Earth, the sun, Earth, and moon make a straight angle during a first-quarter moon. The gravitational pull of the sun partially cancels out the gravitational pull of the moon on Earth, reducing the tidal range. When the moon is quartered, the same thing takes place. There is a narrower tidal range at these periods because the high tides are lower and the low tides are higher.

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