What is the excess charge on a conducting sphere of radius R=0.15m if the potential of the sphere is 1500V and V=0 at infinity?A2.5μCB2.5nCC2.5mCD25nC

0.5 Astronomical Units are the maximum and minimum distances between the comet and the sun.

We are asked to determine the perihelion distance of Halley's comet. To do that we will use the following formula:    

P = a( 1- e )

where,

P = perihelion distance

a = distance of the semi-major axis

e = eccentricity

To determine the distance of the semi-major axis we will use Kepler's third law

[tex]T^{3}[/tex] = [tex]a^{3}[/tex]

Now, we substitute the value of "T":

[tex]\sqrt[3]{(67years)}^2[/tex]= a

Solving the operations:

16.5AU = a

Now we substitute this value in the formula for the perihelion:

P = (16.5AU)(1 - 0.97)

Solving the operations:

P = 0.5AU

Therefore, the perihelion distance is 0.5 Astronomical Units.

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Acceleration with mass and distance formula is Acceleration = net force/mass.

Acceleration is a change in the motion of an object, such as Mccoy speeding up on his skateboard. When an object is acted on by an unbalanced force, it accelerates. The greater the net force, the greater its acceleration, but mass also influences acceleration.

The greater the acceleration for the given magnitude of force, the smaller the mass. These relationships are summarised by Newton's second law of motion. This law states that an object's acceleration equals the net pressure placed on it divided by its mass.

It is frequently easier to measure an object's mass and acceleration than for the net force exerted on it. A balance can be used to measure mass, but instead, average acceleration can also be calculated using velocity and time.

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The struck ball's speed is 4.12 m/s, and the smallest angle between its direction of motion and the positive x-axis after the collision is 28.3°.

Let's first analyze the conservation of momentum in this collision. Since the collision is perfectly elastic and the surface is frictionless, the momentum of the system (which consists of both balls) is conserved. Therefore, we can write:

m1v1i + m20 = m1v1cos(37°) + m2v2cos(θ)

0 + m1v1i = m1v1sin(37°) + m2v2*sin(θ)

where;

We can simplify these equations using the fact that the masses of the two balls are equal (m1 = m2 = m), which gives:

5m = 4mcos(37°) + vcos(θ)

0 = 4msin(37°) + vsin(θ)

We have two unknowns (v and θ), so we need another equation to solve for both. Since the collision is perfectly elastic, we also have conservation of kinetic energy. We can write:

(1/2)m5^2 = (1/2)m4^2 + (1/2)mv^2

Simplifying this equation gives:

25 = 8 + v^2

v = √17 m/s = 4.12 m/s

Now we can use the first two equations to solve for θ. Dividing the second equation by the first equation, we get:

tan(θ) = -4*tan(37°)/17

θ = -28.3° or 151.7°

The smallest angle between the direction of motion of the second ball and the positive x-axis is 28.3°. This is the absolute value of the negative solution, since angles are measured counterclockwise from the positive x-axis.

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The blueshift spectrum reveals how far away an object is from the Earth.

Any decrease in wavelength (increase in energy) with a commensurate rise in frequency of an electromagnetic wave is referred to as a blueshift. This causes a hue to shift towards the blue end of the spectrum in visible light.

As an object moves away from us, the light it emits is known as redshift; when an object moves towards us, the light it emits is known as blueshift. Astronomers use redshift and blueshift to determine how far an object is from Earth; the notion is critical in documenting the expansion of the cosmos.

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77 F can be converted to C and the value after conversion is 25 C.

The conversion F into C can be done as follows:

As per the given details in the question:

Temperature is Fahrenheit = 77

Temperature is Celsius = to be calculated

The conversion formula used for converting Fahrenheit into Celsius is:

The formula to be used is: (F − 32) × 5/9 = C

Substituting the values in the equation:

(77-32)x 5/9

45x5/9 = 25 C

After conversion of Fahrenheit into Celsius is 25 C.

Temperature can be explained as the degree of coldness and hotness. Temperature has various degrees like Kelvin, Celsius, Fahrenheit.

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Answer:

Keratinocytes are the predominant cell type of epidermis and originate in the basal layer, produce keratin, and are responsible for the formation of the epidermal water barrier by making and secreting lipids.

Answer:

Keratinocytes, which are cells in the epidermis, produce keratin, which helps create a protective barrier on the skin's outer layer [1]. As the keratinocytes produce keratin, they start to die, leading to the death of the skin cells.

The direction of acceleration of the flea is 0.0376 degrees relative to the vertical.

The net force on the flea can be found by vector addition of the forces F1 and F2:

Fnet = F1 + F2

The forces F1 and F2 are given as:

F1 = 1.2 × 10^-5 N (straight down)

F2 = 0.515 × 10^-6 N (parallel to the ground)

We can resolve F1 into its horizontal and vertical components. The vertical component of F1 is equal and opposite to the weight of the flea, which is given by:

W = mg

= (6 × 10^-7 kg) × (9.8 m/s^2)

= 5.88 × 10^-6 N

Therefore, the vertical component of F1 is -5.88 × 10^-6 N (upwards), and the horizontal component of F1 is zero.

The forces F2 and the vertical component of F1 are both parallel to the ground, so their vector sum is simply the sum of their magnitudes:

Fnet = F1v + F2

= (-5.88 × 10^-6 N) + (0.515 × 10^-6 N)

= -5.365 × 10^-6 N

The negative sign indicates that the net force is upwards, opposite to the direction of the flea's motion.

Now, we can use Newton's second law of motion to find the acceleration:

Fnet = ma

Rearranging this equation, we get:

a = Fnet/m

Substituting the values of Fnet and m, we get:

a = (-5.365 × 10^-6 N) / (6 × 10^-7 kg)

= -8.942 m/s^2

The negative sign indicates that the acceleration is upwards, opposite to the direction of the flea's motion.

Finally, we can find the direction of the acceleration relative to the vertical using trigonometry. The vertical component of the acceleration is given by:

aV = -a sin θ

where θ is the angle between the direction of acceleration and the vertical. Rearranging this equation, we get:

sin θ = -aV / a

Substituting the values of aV and a, we get:

sin θ = (-5.88 × 10^-6 N) / (-8.942 m/s^2)

= 0.000656

Taking the inverse sine, we get:

θ = 0.0376 degrees

Therefore, the direction of acceleration of the flea is 0.0376 degrees relative to the vertical.

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Viscosity is the drag force applied by the layer of liquid on a body.

When a liquid settles down it usually forms a layer by layer structure in it.

When another body of any shape goes between these layer a drag force is applied on the body in the direction opposite to the motion of the body. This drag force is what we call the viscosity of the liquid.

The viscosity depends on the compressive and adhesive forces present in the particle of the liquid. It also depends on the density of the liquid.

If the body has higher density than it is expected to have a higher viscosity in it.

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The weight on Phobos will be 0.3135 N

We know that weight is defined as:

W = mass*gravitational acceleration.

Here we know that the mass of the person is 55 kilograms, and we also know that the gravitational acceleration on phobos is:

g = 0.0057 m/s²

Then the weight will be

W = 55kg*0.0057 m/s² = 0.3135 N

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Answer:

True

Explanation:

Instantaneous velocity can be positive when a body is moving forward, it can be zero when the body is at rest and it can be negative when the body is moving in a negative direction making the acceleration negative.

Hope this helps.

The soccer ball is moving at a speed of approximately 10.84 m/s just before it hits the player's chest.

The conservation of energy means that there is not any loss of energy but energy changes from one form to another.

To solve this problem, we can use the principle of conservation of energy, which states that the total energy in a system is conserved. In this case, we can assume that the system consists of only the soccer ball.

The initial energy of the soccer ball is given by its kinetic energy:

KE₁= 0.5 x m  x  v₁²

Where m is the mass of the soccer ball and v₁ is its velocity just after being kicked by the goalkeeper.

The final energy of the soccer ball just before it hits the player's chest is given by its potential energy and kinetic energy:

KE₂ + PE₂= m x  g x h₂ + 0.5 x m x v₂²

Where h₂ is the height of the player's chest above the ground, g is the acceleration due to gravity (9.81 m/s²), and v₂is the velocity of the soccer ball just before it hits the player's chest.

Since energy is conserved, we can equate the initial energy to the final energy:

KE₁ = KE₂ + PE₂

Substituting the expressions for KE₁and KE₂+ PE₂, we get:

(0.5 x m x v₁²) = (m x g x h₂) + (0.5 x m x v₂²)

Simplifying and solving for v2, we get:

v₂ = √(v₁² - 2 x g x (h₂ - 0.8))

Substituting the given values, we get:

v₂ = √((33 m/s)² - (2 x 9.81 m/s²) x (1.4 m - 0.8 m))

v₂= 10.84 m/s

Therefore, the speed of the soccer ball will be 10.84 m/s just before it hits the player's chest.

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The center of mass of a human body may lie within or outside the body. Therefore, the correct option is (d) may lie within or outside the body.

The center of mass of a human body is located at a point that may lie within or outside the body.

The center of mass is the point where the mass of a system is concentrated, and it depends on the distribution of mass within the system. In a human body, the distribution of mass varies depending on factors such as body composition, posture, and movement.

For example, the center of mass of a person standing upright with their arms at their sides will be located within the body, whereas the center of mass of a person performing a backflip will temporarily move outside the body during the maneuver.

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The foundation of science is the idea that natural events are explained by natural causes, that these reasons can be inferred from evidence in the natural world, and that these causes are consistent.

Physics is the study of how the universe's building blocks interact with the elements that make up matter. Quantum mechanics is used to study exceedingly small things, whereas general relativity is used to study the whole cosmos.

The study of matter, including its fundamental components, mobility, and behaviour in both space and time, as well as the related ideas of energy and force, is the primary goal of the area of natural science known as physics. Physics is one of science's most fundamental disciplines, and one of its main goals is to understand how the universe functions.

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48 Fahrenheit in Celsius is 8.89 degree Celsius. Fahrenheit and Celsius are related in that they are both units of temperature measurement.

The calculation to convert from Fahrenheit to Celsius is as follows:

[tex]C = (F - 32) * 5/9[/tex]

Therefore, for 48 Fahrenheit, the Celsius calculation would be:

[tex]Celsius = (48 - 32) * 5/9[/tex]

[tex]Celsius = 16 * 5/9[/tex]

Celsius = 8.89

Rounded up, this would be 8.9 degrees Celsius.

The calculation to convert from Fahrenheit to Celsius takes the Fahrenheit temperature, subtracts 32 from it, and then multiplies the result by 5/9. This conversion formula takes into account the difference between the two temperature scales, with Fahrenheit being the higher temperature scale and Celsius being the lower temperature scale.

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The potential energy of the block decreases by equal amounts in equal times. Option D is the answer.

When the block is dropped from a high tower and is falling freely under the influence of gravity, the only force acting on it is the force of gravity. This force does work on the block as it falls, converting the potential energy of the block due to its position to kinetic energy as it gains speed.

The potential energy of the block is given by its position above the ground and is equal to mgh,

where m is the mass of the block,

g is the acceleration due to gravity,

and h is the height of the block above the ground.

As the block falls, its height decreases, and hence its potential energy also decreases. This potential energy is converted to kinetic energy, given by (1/2)mv^2, where v is the speed of the block.

Since the force of gravity is constant, the block experiences a constant acceleration, and its speed increases at a constant rate. This means that the kinetic energy of the block increases by equal amounts in equal times (c) and the potential energy of the block decreases by equal amounts in equal times (d).

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Answer:

coz it rotates at the same speed that it rotates around the Earth. The moon completes one full rotation on its axis in the time it takes to orbit the Earth. That means the same side is always turned toward us.

Explanation:

The final velocity of the coupled freight cars after the collision is -1.0 m/s, which means that they are moving to the left with a speed of 1.0 m/s.

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system of objects is conserved if there are no external forces acting on the system. In this case, the two freight cars are the system, and the collision is assumed to be perfectly elastic, which means that the total kinetic energy of the system is conserved as well.

Let the positive direction be to the right, and the negative direction be to the left. Then, the initial momentum of the system is:

p_initial = m1v1 + m2v2

= 6000 kg * 2.0 m/s + (-3000 kg) * 3.0 m/s

= 6000 kgm/s - 9000 kgm/s

= -3000 kg*m/s

where m1 and v1 are the mass and velocity of the loaded car, and m2 and v2 are the mass and velocity of the empty car. The negative sign indicates that the momentum of the empty car is in the opposite direction to that of the loaded car.

After the collision, the two freight cars will move together as a single unit with a common velocity v_final. Since the total momentum of the system is conserved, we can write:

p_final = (m1 + m2) * v_final

where m1 + m2 is the total mass of the system. Setting the initial and final momenta equal and solving for v_final, we get:

v_final = p_initial / (m1 + m2)

= (-3000 kg*m/s) / (6000 kg + 3000 kg)

= -1.0 m/s

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The moon experiences a gravitational force from Earth that is parallel to its motion. In one Earth day, the moon completes one orbit of the planet. The moon's same side is constantly facing Earth.

The Moon rotates or spins at the same pace as the Earth and completes one orbit of the planet in 27 Earth days. From our vantage point, the Moon appears to orbit us every 29 days because Earth is orbiting the Sun and revolving on its axis.

Due to tidal locking, which synchronizes the moon's rate of spin with its rate of revolution, the moon maintains the same face towards Earth (the time needed to complete one orbit). As a result, the moon revolves precisely once every

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The conversion of 99.4 °F(Fahrenheit) is equivalent to 37.44 °C.

A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).

Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.

To convert Fahrenheit (°F) to Celsius (°C) we have to first subtract 32 from Fahrenheit and then multiply it by .5556 or 5/9.

We have to convert 64 degrees Fahrenheit (°F) to Celsius (°C),

We can use the following formula:

°C = (°F - 32) x 5/9

As per the given information,

°F = 99.4

By placing the value 99.4 for °F, we get:

°C = (99.4 - 32) x 5/9

°C = 37.44 (rounded to two decimal places)

Therefore, 99.4 °F is equivalent to 37.44 °C.

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The correct statements from the list are:

Low-density hot gases produce emission spectra.

Emission spectra have dark lines.

The size of an electron's orbit depends on its energy.

Electrons will move to higher orbits when an atom absorbs enough energy.

Hot solids emit continuous spectra.

An absorption spectrum is a pattern of dark lines or gaps in a continuous spectrum that is produced when light passes through a cooler gas or a cloud of gas. This pattern is caused by the gas absorbing certain wavelengths of light from the continuous spectrum.

Each element or molecule has a unique absorption spectrum, as they absorb different wavelengths of light based on the energy levels of their electrons. The absorption spectrum can be used to identify the presence of certain elements or molecules in a sample, as well as to study the physical and chemical properties of the gas.

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The magnitude of the electrostatic force on sphere B due to sphere A is also 2.4 N, because the forces are equal in magnitude but opposite in direction as they form an action-reaction pair.

First by Coulomb's Law, the electrostatic force F between two point charges Q1 and Q2, separated by a distance r, is given by

F = k * (Q1 * Q2) / r^2

Where k is the Coulomb constant, which has a value of 9 × 10^9 N·m^2/C^2.

In this case, we have two spheres A and B, with charges +2 * 10^-6 C and +1 * 10^-6 C, respectively. The electrostatic force on A due to B is given as 2.4 N.

To find the electrostatic force on B due to A, we can use Coulomb's Law and the fact that the force between the two spheres is an action-reaction pair, meaning that the forces on A and B are equal in magnitude but opposite in direction. Therefore, the magnitude of the electrostatic force on B due to A is also 2.4 N.

We can see this by rearranging Coulomb's Law as:

F = k * (Q1 * Q2) / r^2

=> Q2 = (F * r^2) / (k * Q1)

where

Substituting the values given, we get:

Q2 = (2.4 N * (1 m)^2) / (9 × 10^9 N·m^2/C^2 * 2 × 10^-6 C) = 0.133 C

Therefore, the magnitude of the electrostatic force on sphere B due to sphere A is also 2.4 N, because the forces are equal in magnitude but opposite in direction as they form an action-reaction pair.

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The crown is not made up of pure gold as its density which is calculated is observed to be less than that of the pure gold.

The formula for an object's density is ρ = m/v.

where,

m is mass

v is volume

Mass of the crown is given as 1 kg.

When submerged in water, its mass becomes 0.92 kg.

So, volume of water displaced is 0.08 L.

Density of pure gold is given as, ρ gold = 19.3 kg/L

The amount of water that is displaced has the same volume as the crown. Let us calculate the density of crown,

ρ crown = m/v = 1/0.08 = 12.5 kg/L

Comparing the above obtained value with the density of pure gold we have, ρ crown < ρ gold.

Thus, the crown is not made up of pure gold.

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Reducing the number of cows we raise for meat would probably be the most effective way to reduce the amount of methane released into the atmosphere

If farmers generated more food from plants and less from livestock, or if they moved to more productive cattle herds, methane emissions from agriculture would probably be reduced. Moreover, emissions from landfills might be recorded.

According to estimates, the agricultural sector is responsible for 40% of all human-caused methane emissions. Avoiding the burning of fields after harvest, modifying livestock feed to reduce methane emissions, and routinely draining rice paddies are all examples of reduction techniques. a fossil fuel.

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The pressure drop in a 3/8-inch liquid line with a 40-foot vertical lift is 20 psig.

option B

When extracting oil from low pressure systems, 130 degrees Fahrenheit should be utilised since a greater temperature will result in less refrigerant being present in the oil.

Rupture discs are employed when a pressure relief device has to open completely and instantly. These devices are also employed when a relief device's leakage must be "zero."

The rupture disc in question has a burst pressure of 30 PSI at a temperature of 130 °C.

Temperature has a big impact on how well a rupture disc performs since the thin metal rupture element's physical strength fluctuates with temperature. The pressure of the vapour created by the evaporation of a fluid (or solid) over a sample of the fluid (or solid) in such a closed container is known as the vapour pressure of a liquid, also known as the equilibrium pressure of a vapour over its liquid (or solid).

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A freely suspended magnet will rotate and eventually come to rest in a particular orientation because of the Earth's magnetic field. The Earth acts like a giant magnet with its magnetic field lines running from its magnetic north pole to its magnetic south pole.

A magnetic field is a physical field that is created by moving electric charges or by magnetic materials. The magnetic field is a vector field, which means that it has both magnitude and direction. The magnitude of the magnetic field at a given point in space is proportional to the strength of the magnetic force that a moving charged particle would experience at that point.

The magnetic field is typically represented by lines of force, which are imaginary lines that indicate the direction and strength of the magnetic field. The lines of force form closed loops around a magnetic material or a current-carrying conductor.

Magnetic fields have many important applications in physics, including in the study of electromagnetism, quantum mechanics, and astrophysics. They are used in many devices such as motors, generators, and MRI machines. Understanding magnetic fields are crucial to understanding the behavior of charged particles in a wide range of physical systems.

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Each capacitor's capacitance will decrease in the following order:

C> B> A> D.

An object that stores electrical energy is a capacitor. By building up electric charges on two nearby surfaces that are isolated from one another, a capacitor is a device that stores electrical energy in an electric field.

A passive electrical component having two terminals is a capacitor. Capacitance refers to a capacitor's effect. Faraday is the SI unit for capacitance (F).

C = ε₀ K A/ d

where the capacitor's area is A, the electric permittivity is 0, and the distance between the plates is d

The capacitance is inversely proportional to the distance and directly proportional to the cross-sectional area of the plates.

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Note: the full question is

Four parallel plate capacitors are constructed using square plates, and each has a dielectric inserted between the plates.

Sort the capacitance of each capacitor from highest to lowest.

Capacitor A: long side

l, distance between plates D, dielectric constant

Capacitor B: side length l

2, the distance between the plates D 2, the dielectric constant 4k.

Capacitor C: side length 2l, distance between plates D, dielectric constant 2k.

Capacitor D: side length l, plate spacing 2D, dielectric constant 2k.

99.6°F is equivalent to 37.6°C.

A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).

Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.

To convert Fahrenheit (°F) to Celsius (°C) we have to first subtract 32 from Fahrenheit and then multiply it by .5556 or 5/9.

We have to convert 99.3 degrees Fahrenheit (°F) to Celsius (°C),

We can use the following formula:

°C = (°F - 32) x 5/9

As per the given information,

°F = 99.6

Substituting the value 99.3 for °F, we get:

°C = (99.6 - 32) x 5/9

= 67.6 x 5/9

= 37.6

Therefore, 99.6°F is equivalent to 37.6°C.

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The James Webb Space Telescope sees further back in time, helps study exoplanet atmosphere and study formation of stars.

The James Webb Space Telescope is an exciting new space telescope that is set to launch in December 2021. It will be the largest and most powerful telescope ever launched into space, and it will be able to make some amazing discoveries about the universe. Here are a few things you could tell your 9-year-old about the James Webb Space Telescope:

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Ranking the objects from smallest to largest circular velocity, we have:

c. a 15-kg object orbiting Earth at the same distance as the Moon (1,022 m/s).

a. a 5-kg object orbiting Earth halfway to the moon (1,681 m/s).

b. a 10-kg object orbiting Earth just above Earth's surface (7,905 m/s).

The circular velocity of an object in orbit depends on its mass, the mass of the central body, and the distance between them. The formula for the circular velocity is V = sqrt(GM/R), where G is the gravitational constant, M is the mass of the central body, and R is the distance between the two objects.

a. The distance between the 5-kg object and Earth is halfway to the Moon, which is about 384,400 km. Therefore, the distance between the object and Earth is 384,400/2 = 192,200 km. Using the formula above, the circular velocity of the object is V = sqrt((6.67x10^-11 m^3/kg/s^2) x (5.97x10^24 kg) / (1.92x10^8 m)) = 1,681 m/s.

b. The distance between the 10-kg object and Earth is just above Earth's surface, which is about 6,378 km. Using the formula above, the circular velocity of the object is V = sqrt((6.67x10^-11 m^3/kg/s^2) x (5.97x10^24 kg) / (6.38x10^6 m)) = 7,905 m/s.

c. The distance between the 15-kg object and Earth is the same as the Moon's distance, which is about 384,400 km. Using the formula above, the circular velocity of the object is V = sqrt((6.67x10^-11 m^3/kg/s^2) x (5.97x10^24 kg) / (3.84x10^8 m)) = 1,022 m/s.

The given question is incomplete, the complete question is

Rank the following objects, in order of their circular velocities, from smallest to largest

a. a 5-kg object orbiting Earth halfway to the moon

b. a 10-kg object orbiting Earth just above Earth's surface

c. a 15-kg object orbiting Earth at the same distance as the Moon

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