two forces are applied to a 12 kg cart on a frictionless surface as shown. at a certain instant, force a is 77 n to the right, and force b is 15 n to the left. what is the acceleration of the cart at this instant, in m/s2?

The dragster's change in velocity due to the parachute can be calculated using the kinematic equation:

Δv = aΔt

where Δv is the change in velocity, a is the acceleration, and Δt is the time interval during which the acceleration occurs. In this case, the dragster is initially travelling east, so its velocity is positive, and the parachute applies a force in the opposite direction, resulting in a negative acceleration.

Given that the acceleration is -10 m/s² (westward) and the time interval is 4.5 seconds, we can calculate the change in velocity as:

Δv = (-10 m/s²) x (4.5 s) = -45 m/s

Therefore, the dragster's change in velocity due to the parachute is -45 m/s (westward). This means that the dragster's velocity is reduced by 45 m/s in the westward direction over the 4.5-second interval during which the parachute is deployed.

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The change in velocity due to the parachute is -45 m/s east

What is velocity ?

Velocity is a vector quantity that describes the speed and direction of motion of an object. In other words, velocity is the rate at which an object changes its position in a specific direction.

Velocity is expressed in units of distance per time, such as meters per second (m/s) or kilometers per hour (km/h)

Velocity is different from speed, which is also a measure of the rate of motion but only describes how fast an object is moving, without taking into account the direction of motion.

we will use the formula :-

change in velocity = acceleration x time

where acceleration is the rate at which the dragster slows down, and time is the duration for which it slows down.

Here, the dragster is travelling east, and the parachute applies a force in the opposite direction (west), causing it to slow down. So, the acceleration is -10 m/s^2 (negative because it's in the opposite direction to the velocity).

The time for which the dragster slows down is 4.5 seconds.

Therefore, the change in velocity due to the parachute is:

change in velocity = acceleration x time

change in velocity = (-10 m/s^2) x (4.5 s)

change in velocity = -45 m/s east

Note that the velocity is negative because the dragster is slowing down, and it's still travelling east (i.e., in the positive direction).

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Option 2) is true. If the mass of the black hole doubles, then the Schwarzschild radius of the black hole also doubles.

The Schwarzschild radius of a black hole depends on its mass. When the mass of the black hole changes, its Schwarzschild radius is also affected. Specifically, if we double the mass of a black hole, the Schwarzschild radius of the black hole also doubles. The Schwarzschild radius is defined as the distance from the center of a black hole at which an object would need to be in order to escape its gravitational pull. It is represented by the equation Rs = 2GM/c² where Rs is the Schwarzschild radius, G is the gravitational constant, M is the mass of the black hole, and c is the speed of light.

The formula implies that Schwarzschild radius depends on the mass of the black hole.Therefore, if the mass of the black hole doubles, then the Schwarzschild radius of the black hole also doubles. Hence, option 2 is the correct statement.

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The mass of a particular bar of gold-pressed latinum on the moon is 100 grams.

Gold-pressed latinum (GPL) is a kind of currency in the Star Trek world. Latinum, a rare silver-colored liquid, is pressed between gold layers to make GPL, which is valued in the Federation as a rare and valuable resource. The value of GPL is measured in amounts of gold. It can be used in various types of exchange and trade.

The mass of a particular bar of gold-pressed latinum when it is brought to the moon is the same as its mass on Earth. The bar's mass will stay the same no matter where it is located because mass is a constant property of an object. Mass is a measure of an object's resistance to acceleration in response to a force. It is a measure of how much matter is contained in an object.

As a result, if an object has a mass of 100 grams on Earth, it will have the same mass on the moon or any other location in the universe. Therefore, the mass of a particular bar of gold-pressed latinum when it is brought to the moon is 100 grams.

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Answer:

The power of water transferred each hour through a 500m high dam if 500m² are cleared every hour is approximately 4.41 GW

Explanation:

To answer this question, we need to know the density of water, the gravitational acceleration, and the efficiency of the dam. Let's assume that the density of water is 1000 kg/m³, the gravitational acceleration is 9.81 m/s², and the efficiency of the dam is 100%.

The power of water transferred each hour through the dam is given by the formula:

Power = Flow rate x Density x Gravity x Height x Efficiency

where Flow rate is the volume of water that passes through the dam each second, Density is the density of water, Gravity is the gravitational acceleration, Height is the height of the dam, and Efficiency is the efficiency of the dam.

First, let's calculate the flow rate:

Flow rate = Area x Velocity

where Area is the cleared area of 500m² and Velocity is the speed of water passing through the dam.

Assuming that the water is moving at a constant speed, we can use the formula:

Velocity = Height / Time

where Time is the time it takes for the water to pass through the dam.

Since the height of the dam is 500m and we want to know the power transferred each hour, we can convert the time to seconds as follows:

Time = 1 hour / 3600 seconds per hour = 0.000277778 hours

So, the velocity of the water is:

Velocity = 500m / 0.000277778 hours = 1,800,000 m/s

Now we can calculate the flow rate:

Flow rate = 500m² x 1,800,000 m/s = 900,000 m³/s

Finally, we can calculate the power of water transferred each hour through the dam:

Power = Flow rate x Density x Gravity x Height x Efficiency

Power = 900,000 m³/s x 1000 kg/m³ x 9.81 m/s² x 500m x 1

Power = 4,405,500,000 watts or approximately 4.41 GW

Therefore, the power of water transferred each hour through a 500m high dam if 500m² are cleared every hour is approximately 4.41 GW.

The speed of the spacecraft in a circular orbit around Mars at an altitude of 200 km is approximately 3,543.62 m/s, and the period of the orbit is approximately 6,867.97 seconds or 1.91 hours.

To calculate the speed of a spacecraft orbiting Mars in a circular orbit, use the formula: v = √(GM/R)

Where: v = speed of the spacecraft in meters per second

G = gravitational constant 6.674 × 10⁻¹¹ N m²/kg²

M = mass of Mars (6.39 × 10²³ kg)

R = radius of the orbit (200 km + the radius of Mars, 3,389 km)

Substituting in the values, we get:

v = √((6.674 × 10⁻¹¹ N m²/kg²) × (6.39 × 10²³ kg) / (3.5895 × 10⁶ m))

v ≈ 3,543.62 m/s

Therefore, the speed of the spacecraft in a circular orbit around Mars at an altitude of 200 km is approximately 3,543.62 m/s.

The formula to calculate the period of a circular orbit is T = 2πR/v

Where: T = period of the orbit in seconds

R = radius of the orbit in meters (200 km + 3389.5 km = 3589.5 km = 3.5895 × 10⁶ m)

v = speed of the spacecraft in meters per second

Plugging in the values, we get:

T = 2π(3.5895 × 10⁶ m) / (3,543.62 m/s)

T ≈ 6,867.97 seconds

The period of the orbit is approximately 6,867.97 seconds or 1.91 hours.

Therefore, the speed of the spacecraft in the circular orbit is 3,584 m/s and the period of the orbit is 6,867.97 seconds.

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Answer:

Work is negative on the way up and positive on the way down.

Explanation:

Work is positive if displacement and the force are in the same direction.

Work is negative if displacement and the force are in opposite directions.

(Note that work is zero if displacement is perpendicular to the force.)

In this question, the gravity on the object points downwards at all times.

On the way up, the position of the object is above where it was launched. Hence, displacement would point upwards.

Since the direction of gravity is opposite to that of displacement on the way up, the work on the object would be negative.

In contrast, displacement of the object points downward on the way down. Since displacement is in the same direction as the force of gravity, the work on the object would be positive.

The quantities that are usually conserved for a comet orbiting the sun are:
Speed: The speed of a comet remains constant unless it is acted on by an outside force.
Total Mechanical Energy: The sum of the kinetic and potential energies of a comet remain constant in a closed system.
Kinetic Energy: The energy of a comet due to its motion.
Angular Momentum with Respect to the Center of the Ellipse: The angular momentum of a comet with respect to the center of its orbit remains constant.
Acceleration: The acceleration of a comet is zero unless acted upon by a force.
Gravitational Potential Energy: The potential energy of a comet due to its gravitational attraction to the sun remains constant.
Angular Speed: The angular speed of a comet remains constant unless it is acted upon by a force.
Linear Momentum: The momentum of a comet is conserved, meaning that its momentum remains the same unless acted upon by a force.
Angular Momentum with Respect to the Sun: The angular momentum of a comet with respect to the sun remains constant.

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Answer:

6° because some heat is released out of surrounding. if 100 over six which is equal to sixtenn point four

The most accurate measure of the density of platinum would be obtained through the measurement of its mass and volume, and then calculating its density using the formula: Density = Mass / Volume.

Platinum's density can be determined most precisely by measuring its mass and volume, then applying the formula Density = Mass / Volume to determine both of those quantities. It is crucial to employ the most precise and accurate tools available to guarantee the highest level of accuracy in these measurements. Accurate measurements could be taken using the following methods: Calculate the platinum sample's mass using an analytical balance that has a high degree of accuracy. To prevent any loss or contamination, the balance should be calibrated before use, and the sample should be handled carefully. The volume of the platinum sample should be measured using a method like water displacement or a volumetric flask.

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The types of energy in a wave come from the elevation of the wave (potential) and the motion of the water particles in their orbits (kinetic).

Energy is the ability to do work. The energy of a wave is measured by its amplitude or wave height. The more energy a wave has, the higher its amplitude. The energy of the wave is the sum of the potential energy and kinetic energy of the water molecules that make up the wave.

A wave has potential energy, which is the energy it possesses due to its position. When a wave is high, it has a lot of potential energy, which can be used to do work. Potential energy is converted to kinetic energy when the wave moves.

The water particles that make up the wave are in motion. This motion is referred to as kinetic energy. The energy is generated when the wave is in motion. The faster the wave moves, the more kinetic energy it has. Kinetic energy is converted to potential energy when the wave is at its peak.

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The wheels make approximately 47.65 revolutions during the 5.10 s period.

What is Linear Speed?

Linear speed, also known as tangential speed, is the distance traveled by an object in a circular path per unit of time, measured in units such as meters per second (m/s) or kilometers per hour (km/h). It is the magnitude of the velocity vector of an object moving in a circular path at a constant speed, and is perpendicular to the centripetal acceleration vector.

The linear speed of the wheels is equal to the velocity of the car:

v = 17.0 m/s

The circumference of the wheels is:

C = 2πr = 2π(0.48 m) = 3.01 m

The angular speed of the wheels is related to the linear speed by:

ω = v/r

Therefore, the initial angular speed of the wheels is:

ω₀ = v/r = 17.0 m/s / 0.48 m = 35.42 rad/s

The final angular speed of the wheels after accelerating for 5.10 s at a constant rate of 2.10 m/s² is given by:

ω = ω₀ + αt

where α is the angular acceleration of the wheels. Since the wheels are assumed to roll without slipping, the linear acceleration of the car is equal to the angular acceleration of the wheels:

α = a/r = 2.10 m/s² / 0.48 m = 4.38 rad/s²

Substituting the given values into the equation for angular speed, we have:

ω = 35.42 rad/s + (4.38 rad/s²)(5.10 s) = 58.64 rad/s

The number of revolutions made by the wheels during this period is equal to the change in the angle of rotation of the wheels:

Δθ = ωt

Substituting the given values, we have:

Δθ = (58.64 rad/s)(5.10 s) = 299.58 rad

The number of revolutions is equal to the angle of rotation divided by 2π:

n = Δθ / 2π = 299.58 rad / 2π ≈ 47.65 revolutions

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The battery can sustain a current of 1.1 A for approximately 57 minutes. Thus, the correct option will be D, 57 minutes.

Energy is the ability of a system to perform work. The unit of energy in the SI system is the joule (J). A joule is equal to the work done when a force of one newton is applied over a distance of one meter.In this case, we have a 1.4 V battery storing 5.3 kJ of energy.

Using the equation,

Energy = Power × Time

We can derive the expression,

Time = Energy/Power

where, Energy = 5.3 kJ = 5,300 J,

Power = Voltage × Current = 1.4 V × 1.1 A = 1.54 W

Substituting the values,Time = 5,300 J/1.54 W

Time = 3441.56 s = 57.36 minutes

Therefore, the battery can sustain a current of 1.1 A for approximately 57 minutes.

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The average density of a neutron star which has a mass of about 1.5 Msun is 3.57x10¹⁴ kg/cm³ to two significant figures.

The average density of a neutron star is calculated by dividing the mass of the neutron star by its volume. The formula is given as:-

P = M/V, where P is the density, M is the mass, and V is the volume.

The volume of a sphere is given by the following formula:-

V = 4/3πr³, where r is the radius.

Substituting the given values, we get:-

V = 4/3π(10 km)³ = 4/3π(10,000 m)³ = 4/3π(1x10¹⁰ cm)³ = 4/3π(1x10³⁰ cm³) = 4.19x10³⁰ cm³

Now, we can calculate the density:-

P = M/V = 1.5 Msun / 4.19x10³⁰ cm³ = 3.57x10¹⁴ kg/cm³

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The force of gravity between two magnets is really considerably smaller than the magnetic force, despite the fact that two magnets correctly aligned would attract and stay together firmly.

Any two mass-containing things in the cosmos are subject to the basic natural force of gravity. According to the formula F = G * m1 * m2 / r2, where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them, the gravitational force between two objects varies in strength depending on their masses and the distance between them. The magnetic fields of two magnets are what create the force between them. Two magnets are aligned properly and it causes them to stick together tightly.

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The current in the battery increases and the magnetic field generated is stronger, which causes a larger induced current in the wire loop. This current will also be in the opposite direction of the battery current.

A circuit with a battery and a variable resistor near a loop of wire will cause an induced current in the loop when the resistance of the resistor is decreased. This is known as electromagnetic induction, which occurs when the current in the loop of wire changes, generating a changing magnetic field. This magnetic field then causes a current in the nearby wire loop. In this case, when the resistance of the resistor is decreased,

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Answer:

6n

Explanation:

Given:

Force acting by student 1 = 10 N

Force acting by student 2 = 4 N

Find:

Net force acting on the board

Computation:

Net force acting on the board = Force acting by student 1 - Force acting by student 2

Net force acting on the board = 10 N - 2 N

Net force acting on the board = 6 N

"Precipitation occurs due to condensation of water molecules in the air into droplets and they fall to the ground due to gravity."

One of the stages of the water cycle is precipitation. Clouds are areas of the sky with enough water content for drops to condense, and they are where precipitation originates. Therefore, precipitation follows mist. Although clouds are the source of all precipitation, not all clouds generate precipitation.

When cloud droplets or crystals become too dense to continue floating in the atmosphere, precipitation starts to descend from the clouds. If droplets do not become sufficiently dense, precipitation will not occur, and if the cloud is sufficiently heated by the Sun, it may even disperse. But for there to be a place for precipitation to come from, clouds do need to develop.

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The torque due to the weight of one side of the broom is equal to the weight of the side multiplied by its distance from the balance point. The torque due to the weight of the other side of the broom is equal to its weight multiplied by its distance from the balance point. Therefore, if the weights of the two sides are equal, the torque exerted around the balance point is the same for both sides.

The torque due to the weight of one side of the broom exerted around the balance point is equal to the torque exerted by the weight of the other side of the broom around the balance point.

What is torque?

Torque is a measure of the twisting force acting on an object, usually resulting in rotation. The torque of an object can be calculated by multiplying the force applied to it by the distance between the force and the object's pivot point. Torque equation: τ = F x where, τ = Torque F = Applied force (perpendicular to r) r = Distance between the pivot point and the applied force.

What is the balance point?

The balance point is the location at which an object is perfectly balanced, with its weight equally distributed on either side of the pivot point. The balance point is located at the center of mass of an object. The torque due to the weight of one side of the broom exerted around the balance point is equal to the torque exerted by the weight of the other side of the broom around the balance point. Since the broom is balanced, its weight is evenly distributed on either side of the pivot point, resulting in equal and opposite torques on each side.

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The proportional equation that matches the context of a 33-inch candle burning down in 12 hours is b = 2.75t.

A candle that is 33 inches long is called a 33-inch candle. Candles are a popular decorative item that is commonly used for lighting, as decoration for weddings, and parties, or to create an aromatic atmosphere. B represents the length of the candle that has burned away at any time given in hours, t.

To find the proportional equation for b in terms of t that matches the context of a 33-inch candle burning down in 12 hours, the following steps should be followed:

Identify the given informationThe length of the candle (l) = 33 inchesThe time taken for the candle to burn down (t) = 12 hours

Determine the rate of burning The rate of burning of the candle is given by l/t. Therefore, the rate of burning = 33/12 = 2.75 inches per hour.

The proportional equation for b in terms of t is given by b = rt where r is the rate of burning. Therefore, b = 2.75t.

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Answer:

V = X i + Y j        expression of vector in terms of unit vectors i andj

V = 12.0 i + 9.00 j

V = (12.0^2 + 9.00^2)^1/2 = 15.0      magnitude of resultant vector

Note this is a multiple of a 3, 4, 5 right triangle

5 is the magnitude of a 3, 4, 5 right triangle the given vector is 3X the 3, 4, 5 triangle or 15

Yes, melting lead into a liquid to form pellets is a physical change.

This is because the chemical composition of lead remains the same even after it has been melted and then solidified into pellets. In other words, the molecular structure of lead does not change during the melting process, but only the physical state of the material changes from a solid to a liquid and then back to a solid. This type of change is reversible and can be undone by cooling the lead pellets to their solid state. Therefore, melting lead to form pellets is an example of a physical change rather than a chemical change.

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--The complete Question is, Is lead melting into liquid to form pellets a physical change? --

The total horizontal distance traveled by the bullet in 4 seconds is: 320 meters.

Using the rounded horizontal velocity of 80 m/s.

To calculate this, we use the equation distance = velocity × time, which would be 80 m/s × 4 s = 320 m.

Horizontal velocity refers to the component of projectile motion that is horizontal. The horizontal velocity of a projectile is the velocity at which it is moving horizontally. In the absence of air resistance, the horizontal velocity of a projectile remains constant throughout its motion. A horizontal velocity can be positive or negative. It is positive when the projectile is moving to the right and negative when it is moving to the left.

The formula to calculate the total horizontal distance traveled by a bullet in 4 seconds is given below.

Total horizontal distance traveled = (horizontal velocity) × (time taken)

Substitute the value of the horizontal velocity, which is rounded in the question, in the above formula to calculate the total horizontal distance traveled by the bullet. This will give you the required answer.

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The sections 2 and 4 of the track will the sled experience an unbalanced force which is frictionless surface.

As we see from the diagram the track is a frictionless surface where the sled will move. In section 1 and 3, the sled will experience a balanced force because the gravitational force pulling the sled down is equal to the normal force of the track pushing the sled up. While in section 2 and 4, however, the sled will experience an unbalanced force because the gravitational force pulling the sled down will be greater than the normal force of the track pushing the sled up. This will cause the sled to accelerate and move faster. Hence section 2 and 4 will experience an unbalanced force.

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The electric potential from a certain point charge when the distance is halve for the same charge will be V/2. Thus, the correct option will be C.

According to the Coulomb's law, the electric field is the gradient of the electric potential. And, the electric potential V is given by:V = kQ/r, where Q is the charge, r is the distance between the charge and the point where the potential is being calculated, and k is Coulomb's constant. Here, the electric potential at a distance d from a certain point charge is V relative to infinity.

The electric potential (relative to infinity) at half the distance for the same charge is the distance r/2, so:

V' = kQ/r

2V' = kQ/(d/2)

V' = 2kQ/d

V' = V/2

Therefore, the electric potential at half the distance for the same charge is V/2.

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Photodetectors that rely on the external photoelectric effect are known as photoemissive detectors (sometimes spelled photoelectric detectors).

A photocathode of some kind is present in such a device, where incident light is partially absorbed to produce photoelectrons, which are released into free space.

The light reflected off of particles by a light beam inside the sensor chamber is used by smoke detectors to detect smoke. When there are no particles in the sensing chamber, the beam's light does not hit the light detector, signaling that everything is in order.

Ionization smoke alarms detect smoke from rapidly blazing fires, while photoelectric smoke detectors are best for detecting smoke from smoldering fires.

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The structure that would have helped to protect the brain from the external force when the rock hit Cesar are as follows: Dura mater and Cerebrospinal fluid.

What is the central nervous system? The central nervous system (CNS) is responsible for processing incoming stimuli from the peripheral nervous system and producing a coordinated response. It includes the brain and the spinal cord.

The brain is the largest component of the CNS, comprising 2% of the body's weight but consuming about 20% of its oxygen and nutrients. It consists of three main parts: the brainstem, the cerebellum, and the cerebrum.

The brainstem is responsible for regulating critical functions like respiration, circulation, and digestion; the cerebellum controls motor coordination, and the cerebrum is the area of the brain responsible for sensory perception, emotion, and movement.

What is external force? External forces, also known as contact forces, are forces that act on an object as a result of its interaction with its surroundings. Forces that do not require contact to take effect, such as gravitational and magnetic forces, are not considered external forces.

Examples of external forces are gravity, air resistance, tension, and friction. Dura mater and Cerebrospinal fluid as the structure that would have helped to protect the brain from the external force when the rock hit Cesar. When a rock hits Cesar, the external force created by it must be transferred to the skull, and ultimately the brain.

However, several protective features of the head help to reduce the severity of the impact. The brain is protected by two main structures: the dura mater and the cerebrospinal fluid.

The dura mater is the outermost layer of the meninges, which is a protective membrane covering the brain and spinal cord. It acts as a cushion, absorbing some of the external force generated by the impact.

Cerebrospinal fluid is a clear liquid that flows throughout the central nervous system, filling the space between the brain and the skull. It acts as a shock absorber, reducing the impact's intensity by distributing the force more evenly.

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The time required for the ball to travel downward at the feet per second will be 32 feet per second will be 1.5 seconds.

The ball is thrown upward in the air, and its height above the ground after seconds is feet. To find the time when the ball will be traveling downward at feet per second. In order to find the time when the ball will be traveling downward at feet per second, it is required to find the velocity of the ball when it reaches the maximum height.

In order to find the velocity, we need to differentiate the given function of height with respect to time. Now let's differentiate the given function of height with respect to time. Differentiating the function of height with respect to time, we get:

h(t) = -16t² + 48t + 64 = -16(t - 3)² + 160

Differentiating h(t) with respect to time, we get:

h(t) = -32t + 48

We know that the ball is thrown upward, so the initial velocity is 48 feet per second, and the acceleration is -32 feet per second per second. The ball is at maximum height when the velocity becomes 0.

So,

0 = -32t + 48

32t = 48

t = 1.5 seconds

Hence, the time when the ball will be traveling downward at 32 feet per second is 1.5 seconds.

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The correct option is D, These best convection currents are easily visible.

Convection is a mode of heat transfer that occurs through the motion of fluids, such as gases or liquids. When there is a temperature difference between two fluid regions, hotter regions tend to expand and become less dense, causing them to rise and cooler regions to sink. This process creates a flow of fluid, which carries heat away from the hotter region and toward the cooler one.

Convection plays a vital role in many natural phenomena, such as weather patterns, ocean currents, and the movement of magma in the Earth's mantle. It is also used in various engineering applications, such as cooling, heating, and fluidized bed reactors.

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Complete Question:

Which of these best describes convection currents?

A. extremely fast

B. unpredictable

C. slow-moving

D. easily visible

Answer:

well first u divide the numbers