a small object is released from rest and fall 1.00 x 10^2 feet near the surface of the earth neglect air resistance how long will it take to fall through

Answers

Answer 1

It will take 2.49sec to fall through the 1.00 × 10² feet mentioned.

What occurs if air resistance is disregarded?

When objects are stated to be falling freely, they are only being pulled downward by gravity and do not experience much air resistance. Under these conditions, all objects will fall with the same rate of acceleration, regardless of their mass.

A thing falls freely due to gravity.

The distance traveled when free falling is measured in height.

H= Hο −1/2gt

. were Hο is the initial height g is the acceleration due the gravity t is the time

Accepting the final height equal to zero

Hο =1/2gt²

t = √2Hο /g

= 32.17

2 ⁄

t = √2∗1.00∗10²/32.17

= 2.49 sec

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Question:

A small object is released from rest and falls 1.00 × 102 feet near the surface of the earth. Neglect air resistance.

How long will it take to fall through the 1.00 × 102 feet mentioned?

3.12 s

4.50 s

2.49 s

6.25 s

10.0 s


Related Questions

an auto moves 10 meters in the first second of travel, 10 more meters in the next second, and 10 meters during the third second. the acceleration of the auto in m/s2 is

Answers

When driving, a car travels 30 feet in the first second, 10 more in the second, and 10 miles in the third second, which is zero.

What occurs if acceleration is zero?

The item will move at a constant speed when there's no acceleration. We may examine Newton ’s law and the acceleration formula mathematically. We are aware that there is no force. The speed must be zero because we are aware that the mass could be zero.

Constant acceleration equals 1, right?

A change in velocity which does not alter over time is referred to as a constant acceleration. The average acceleration of an automobile remains constant even if it picks up 20 mph in one minute and then another 20 mph in the next.

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a bicycle racer sprints at the end of a race to clinch a victory. the racer has an initial velocity of 11.5 m/s when he was 300 m away from the finish line. he accelerates at the rate of 0.500 m/s/s for 7.00 s; and then the racer continues at the final velocity to the finish line. (a) what is his final velocity?

Answers

As a result, the racer's final velocity is 13.00 m/s after accelerating at 0.500 m/s2 for 7.00 s.

What is velocity?

Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change.

Here,

The final velocity can be found using the equation of motion,

vf = vi + at,

where vf is the final velocity, vi is the initial velocity (11.5 m/s), a is the acceleration (0.500 m/s^2), and t is the time for which the acceleration was applied (7.00 s).

Substituting the values we get,

vf = 11.5 + 0.500 * 7.00 = 13.00 m/s.

So, the racer's final velocity is 13.00 m/s as he accelerates at the rate of 0.500 m/s2 for 7.00 s.

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a capacitor is made by taking two sheets of aluminum foil, each 0.022 mm thick and placing between them a sheet of paper which comes from a ream of 500 sheets, the ream being 5.5 cm thick with sheets measuring 216 mm by 279 mm (the usual 81/2 by 11). what is the capacitance of the capacitor made this way if the dielectric constant of the paper is 3.7? (e0

Answers

So, if the dielectric constant of the paper is 3.7, the capacitance of the capacitor is 3.03 nano-farads.

What is capacitor?

A capacitor is a device that stores electrical energy in an electric field by collecting electric charges on two isolated surfaces. It is a two-terminal passive electrical component. Capacitance is the effect of a capacitor.

Here,

The capacitance of a parallel plate capacitor can be calculated using the formula:

C = ε0 * εr * A / d

Where:

ε0 = 8.854 x 10⁻¹² (permittivity of free space)

εr = 3.7 (relative permittivity of paper)

A = (216 x 10⁻³ m) x (279 x 10⁻³ m) = 0.0608 m² (surface area of one plate)

d = 0.022 x 10⁻³ m (distance between the plates)

Substituting the values, we get:

C = 8.854 x 10⁻¹² x 3.7 x 0.0608 / 0.022 x 10⁻³

C = 3.03 x 10⁻ ⁹F(Farads)

So, the capacitance of the capacitor is 3.03 nano-farads if the dielectric constant of the paper is 3.7.

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no attempt no attempt 33% part (a) if the musical notes a and c are played together (frequencies of 220 and 264 hz)?

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When musical notes A and C with frequencies of 220 Hz and 264 Hz are performed simultaneously, a phenomenon known as interference occurs.

What is frequency?

The frequency of a repeated event is the number of occurrences per unit of time. It is separate from angular frequency and is sometimes referred to as temporal frequency. The unit of frequency is hertz, which equals one occurrence every second. The frequency difference between notes A and C is 44 Hz, which can result in a complex sound wave with a variety of harmonic overtones. Many factors will influence the exact form of the interference pattern, including the strength and phase of the original waves, the distance between the listener and the source of the sound, and the existence of any additional sound waves in the surroundings.

Here,

This happens because the sound waves created by each note interact with one another, either enhancing or canceling out at different places in space. The resultant wave pattern combines the two original waves to generate a new waveform with its own distinct frequency and amplitude.

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What happens to the volume of gas when temperature increases at constant pressure?

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The volume increases as the temperature increases, and decreases as the temperature decreases. The gas expands in volume as the temperature rises. The kinetic energy of the gas's molecules increases with temperature. They make greater direct contact with the container's surface.

What is the gas volume formula?

PV = nRT

These equations are variations of the ideal gas law, PV = nRT, in which P is the gas's pressure, V is its volume, n is the gas's number of moles, T is the gas' kelvin temperature, and R is the ideal (universal) gas constant.

How does volume effect the rise in temperature?

This implies that a gas's volume and Kelvin temperature are inversely related. Consider it this way: If you want to expand a gas's volume while maintaining its pressure, the only method to do so is to raise the gas' temperature.

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This applet shows the results of releasing a frictionless block and a rolling disk with equal masses from the top of identical inclined planes.This applet shows the same situation, but it also shows, through bar graphs that change with time, the way that the energy is transformed as the box and the disk go down the inclined plane.Assume that the box and disk each have mass m , the top of the incline is at height h , and the angle between the incline and the ground is θ (i.e., the incline is at an angle θ above the horizontal). Also, let the radius of the disk be RHow much sooner does the box reach the bottom of the incline than the disk?Express your answer in terms of some or all of the variables m , h , θ , and R , as well as the acceleration due to gravity g.

Answers

The time difference between the box and disk reaching the bottom of the incline can be expressed as: Δt = [tex](h/g) \times (sin(\theta) / (cos(\theta) - (R^2/2m)))[/tex]

What does gravitational acceleration entail?

The acceleration that an item experiences as a result of the gravitational pull of a celestial body, such as the Earth, is known as acceleration due to gravity. On Earth's surface, the acceleration brought on by gravity is roughly 9.8 m/s2. The letter g is often used to represent it.

Do various planets have different gravitational values?

Yes, various planets have varying values for gravity. The mass of the planet and the separation between the object and the planet's center determine how strong the gravitational attraction is.

Δt =[tex](h/g) \times (sin(\theta) / (cos(\theta) - (R^2/2m)))[/tex]

Where g denotes the acceleration due to gravity.

The time difference Δt represents the time advantage that the box has over the disk in reaching the bottom of the incline.

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which of the following statements is true in regard to matter supplying energy? multiple choice question. matter must be moving faster than the vibrating particles it contains. matter must be at rest (not moving). matter can be moving or at rest. matter must be in motion.

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The correct option is "Matter can be moving or at rest."

The ability of matter to produce energy is unaffected by its state of motion or rest. Regardless of whether the matter is in motion or at rest, energy can be stored in it as thermal or potential energy. For instance, the height of a stationary object at the top of a cliff gives it potential energy, whereas a moving thing has kinetic energy. The kinetic energy of matter's particles, which can be transferred to other objects through thermal energy, is also closely correlated with temperature. Therefore, the matter has the ability to produce energy whether it's moving or not.

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the magnitude of a vector can be different in different coordinate systems.T/F

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A vector cannot have a distinct direction in one coordinate system from another. Even if a vector's magnitude is not zero, it can still have a component value of zero.

If so, what sets them apart from one another?

The coordinates of the start and end points of a vector are the same (0, 0). The eigenvector for A is what is known as this vector. The position vector of each point in the reference frame can be used to represent that point. A point's position vector and coordinates are same.

What does the vector coordinate system mean?

A coordinate vector, or tuple, is a description of a vector used in linear algebra that characterizes the matrix in terms of a specific ordered basis. A simple example would be a position in a three-dimensional Cartesian system with the axes as the basis, such as (5, 2, 1).

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explain the need to develop and use alternative energy sources

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Alternative energy helps us to be able to preserve the environment.

Why do we need alternative energy?

The majority of the world's energy supply currently comes from finite, non-renewable sources such as coal, oil, and natural gas. These resources are being depleted at an alarming rate, and it is expected that they will eventually run out.

Alternative energy sources, such as wind, solar, and hydropower, are clean and produce little or no greenhouse gas emissions. This helps to reduce air and water pollution, protect wildlife and natural habitats, and preserve the planet for future generations.

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a hair dryer operates at 120 volts. after operating for 5.2 minutes and drawing 3 amperes of current, how much energy (in kj) has it consumed ?

Answers

After operating for 5.2 minutes and drawing 3 amperes of current, the hair dryer consumed 112.32 kilojoules of energy.

You must determine the total quantity of charge that has traveled through the hair dryer in order to determine the amount of energy it uses. By dividing the current by the time, one may determine this.

I = 3 A for current

Time, T, is 5.2 minutes, or 5.2 seconds multiplied by 60. = 312 s

Charge: Q = I x T = 3 x 312 s, or 936 Coulombs.

Multiply the charge by the voltage to get the amount of energy used:

[tex]E = V \times Q, $or $120 V \times 936 C,\\ = 112320 J. (joules)[/tex]

Lastly, divide by 1000 to convert from joules to kilojoules:

E (in kJ) is equal to 112320 J/1000, or 112.32 kJ.

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During fission, some of the nuclear mass is converted intoSelect one:a. critical mass.b. energy.c. heavier nuclei.d. protons.

Answers

Energy is your answer

Pls mark me brainliest

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ich of the following materials would you choose for optimal performance in the charge storage layer of a capacitor? which of the following materials would you choose for optimal performance in the charge storage layer of a capacitor? material a: high dielectric constant low electrical resistivity material b: low dielectric constant high electrical resistivity material c: low dielectric constant low electrical resistivity material d: high dielectric constant high electrical resistivity question at position 2 2 3 points

Answers

"Material A: high dielectric constant low electrical resistivity is best for optimal performance."

A capacitor is a device used to store electrical energy and it consists of two conductive plates separated by a dielectric material. The choice of material for the charge storage layer is important for determining the performance of the capacitor. The dielectric constant is a measure of a material's ability to store electrical energy and the electrical resistivity is a measure of a material's ability to conduct electrical current. For optimal performance in the charge storage layer of a capacitor, material A is the best choice as it has a high dielectric constant and low electrical resistivity. This means that the material has a high ability to store electrical energy and a low resistance to electrical current, making it ideal for use in a capacitor. Material B would not be an optimal choice for a charge storage layer as it has a low dielectric constant and high electrical resistivity, meaning that it is not an efficient material for storing electrical energy and has high resistance to electrical current.

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which pair of diagrams represents the best orientation for the x axis to analyze the emitted waves and the reflected waves separately?

Answers

The difference in frequency between the waves that are emitted directly and the waves that are reflected by the paused fish moving straight towards the ship with a speed of 4.95 m/s is 73.45 Hz.

Sound waves will propagate in a straight line until they hit an obstacle, such as the seabed. When the sound waves hit an obstacle, some of the waves will be reflected in the ship as echoes. The time it takes for a sound wave to travel down to the bottom and back up is carefully measured.

The original frequency of sonar, f = 22 kHz = 22000 Hz

The speed of sound in water, V = 1482 m/s

The speed of the whale towards the ship, Vw =4.95m/s

The apparent frequency reflects his back,

f' = f ( V+Vw)/V

f' = 22000(1482+4.95)/1482

f' = 22073.5 Hz.

So, the change in frequency is

f'-f = 22073.5-22000

f'-f = 73.45 Hz.

So, the change in frequency is 73.45 Hz

Your question is incomplete but most probably your full question was:

The sound source of a ship’s sonar system operates at a frequency of 22.0 kHz. The speed of sound in water (assumed to be at a uniform 20°C) is 1482 m/s. What is the difference in frequency between the directly radiated waves and the waves reflected from a whale traveling straight toward the ship at 4.95 m/s? Assume that the ship is at rest in the water.

Which pair of diagrams represent the best orientation for the x-axis to analyze the emitted waves and the reflected waves separately?

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which quantity, the electric field strength or the electric potential, decreases faster with increasing distance? why?

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E (electric field strength) varies as the inverse of distance squared, whereas potential only varies as the inverse of the distance. E = kQ/ r² and V = kQ/r .

As a result, the field strength decreases faster with increasing distance.

Yes, Electric potential may be zero at a point even when the electric field strength is not zero at that point. The case of the electric dipole will help us understand this concept. At the midpoint of the charges of the electric dipole, the electric field due to the charges is non-zero, but the electric potential is zero.

An electric field is a property associated with each point in space when the charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, which is also known as electric field strength, electric field intensity, or simply the electric field. Knowing the value of an electric field at a specific point is all that is required to predict what will happen to electric charges near that point.

Instead of viewing the electric force as a direct interaction between two electric charges separated by space, one charge is considered the source of an electric field that extends outward into the surrounding space.

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a child throws a baseball directly upward. what are the signs of the velocity and acceleration of the ball immediately after the ball leaves the child's hand?

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The sign of the velocity of the ball immediately after it leaves the child's hand is positive because it is moving upwards, away from the ground. At this moment, the ball's velocity is increasing as it continues to move upwards, so the sign of its acceleration is also positive.

The acceleration of the ball at this moment is the acceleration due to gravity, which is a constant downward acceleration of approximately 9.8 m/s². Therefore, the sign of the acceleration of the ball immediately after it leaves the child's hand is positive. Velocity is a vector quantity that describes the rate of change of an object's position. It is calculated as the displacement of an object divided by the time taken for that displacement to occur, and it has units of length per unit time (e.g., meters per second). Velocity has both magnitude and direction, and it is used to describe the motion of objects in physics and engineering.

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two common primary structures of proteins are alpha helices and beta sheets.True or False?

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It is the true statement. Two standard primary structures of proteins are alpha helices and beta sheets. Proteins are long chains of amino acids that fold into specific shapes, which are determined by their primary structure.

What does the primary structure of protiens determine?

The primary structure of a protein determines its overall shape and function. Alpha helices and beta sheets are two of the most common secondary structures that are formed from the linear sequence of amino acids in the primary structure.

What are alpha helices?

Alpha helices are coiled structures that resemble a spiral staircase, while beta sheets are flat structures that form a pleated sheet. These structures provide stability and rigidity to the protein.

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incident solar radiation is the definition of group of answer choices insolation. solar constant. interference. inception.

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The radiating solar energy that strikes the earth's surface incidentally is known as "global radiation" on a surface (W m2).

What brings about isolation?

The term "insolation" refers exclusively to radiation that enters the earth's atmosphere before reaching the surface. The heat is produced by sun energy, which is also known as solar radiation. The solar energy that reaches the surface of the earth is known as insolation.

What transpires with isolation?

Energy Conversion: Evaporation of water or sublimation of ice can convert solar radiation into latent heat, which is a form of stored potential energy. III. Terrestrial Radiation - Insolation is eventually reradiated to the atmosphere either into space after being received by the Earth's surface.

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muscle up lab for physics can someone help me with this question please. why might the horsepower for two activities using the same muscle group (running up the stairs and jumping or arm curls and push ups) yield different amounts of power?

Answers

Answer:

Work

Explanation:

The amount of work you put into the activities can affect different amounts of power. Since power is work/time and work is force/displacement, it depends on the amount of work you put into it to alter the power.

Sowwy if my explanation is wack :C

question neglecting air friction effects, what path does the package travel as observed by the pilot?

Answers

The correct answer is the United States why I lie .

the sink–float method is often used to identify the type of glass material found at crime scenes by determining its density. several different types of glass of known density are placed into solutions of varying densities. determine whether each glass piece will sink, float, or do neither when immersed in the given solution.

Answers

The different type of glass of known density placed in various liquid will sink, float or neither sink or float all depend on the difference in the density of glass and water.

What will have a glass of different density placed in different density of solution?

The glass will sink:

a solution of alkali zinc borosilicate with a density of 2.46 g/mL and a density of 2.57 g/mL.

3.05 g/mL of potash soda lead is present in a solution with a density of 1.65 g/mL.

In a solution with a density of 2.16 g/mL, there is potash borosilicate with a same density of2.16 g/mL.

The glass will float:

Alkali strontium in a solution with a density of 2.34 g/mL and a density of 2.26 g/mL.

The glass will neither sink or float:

In a solution with a density of 2.62 g/mL, soda borosilicate has a density of 2.27 g/mL.

What causes an object to sink or float?

The subject will sink if the force acting of the weight is larger than an upwards force of the water on it. The thing will rise if the converse is true because rising is the contrary of sinking.

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The sink–float method is often used to identify the type of glass material found at crime scenes by determining its density. several different types of glass of known density are placed into solutions of varying densities. determine whether each glass piece will sink, float, or do neither when immersed in the given solution.

1) alkali zinc borosilicate with a density of 2.57 g/mL in a solution with a density of 2.46 g/mL.

2) soda borosilicate with a density of 2.27 g/mL in a solution with a density of 2.62 g/mL.

3) alkali strontium with a density of 2.26 g/mL in a solution with a density of 2.34 g/mL.

4)potash borosilicate with a density of2.16 g/mL in a solution with a density of 2.16 g/mL.

5) potash soda lead with a density of 3.05 g/mL in a solution with a density of 1.65 g/mL.

a large moving ball collides with a small stationary ball. the momentum is ______

Answers

A large moving ball collides with a small stationary ball. The momentum... of the large ball decreases, and the momentum of the small ball increases. A 75 kg person walking around a corner bumped into an 80 kg person who was running around the same corner.

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Select True or False for the following statements about electric field lines.
(a) Electric field lines do not begin or end in a charge free region except at infinity.
(b) Electric field lines may cross.
(c) Electric field lines make circles around positive charge.
(d) Electric field lines point outwards from positive charge.
(e) Electric field lines point inwards towards negative charge.
(f) Where the electric field lines are dense the electric field must be weak.
(g) A positive point charge released from rest will initially accelerate.

Answers

1) A things along the way charge will initially accelerate down an E-field line when it is released from rest: TRUE.

When the force of the electrostatic potential that generates the field is applied to the electric field lines, they all point in the exact direction that will produce a positive test charge.

2) E-Field lines encircle positive charges in circles: FALSE.

With the exception of infinity, E-Field lines begin with positive charges and end with negative charges.

3) E-field lines are oriented inward and toward electrostatic repulsion: TRUE

Negative charges attract positive charges, therefore the positive test charging will move in the direction of the negative charges as the E-field lines move along trajectory that would include a positive drug test charge.

4) E-Field vector may intersect: FALSE

If they crossed, it would imply that the electric potential may be developing variably at the exact spot, which is not conceivable because the E-Field seems to be the gradient of both the electrostatic attraction (thus they have always had the direction of the highest change of potential).

5) Positive charges have E-Field lines pointing outward: TRUE

According to the previous explanation, the E-field traces follow the path that a positive test charges would take if it were to produce the field. As a result, if a positive charge creates the field, the analysis suggests would move away from it, and the field lines would then point outward.

6) The E-field must really be weak when the E-field margins are dense: FALSE

According to tradition, the density of the E-field lines indicates the strength of the field as the E-field arcs are inversely correlated with the charge that generates the field.

7) Except at infinity, E-field fibers do not start or finish in a zone that is free of charges. TRUE.

E-field lines can begin in a location that is devoid of charges since they start at positively charged ions and end at negative charges, with the exception of infinity.

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if the cart's mass is 3.2 kg , the applied force is 12.8 n , and the friction force is 7.0 n , find the cart's acceleration. express your answer to two significant figures and include the appropriate units.

Answers

The cart's acceleration can be calculated using the equation a = (Fnet)/m, where Fnet is the net force acting on the cart and m is the mass of the cart.

In this case, F_net = 12.8 N - 7.0 N = 5.8 N, and m = 3.2 kg. Plugging these values into the equation yields a = 5.8 N / 3.2 kg = 1.81 m/s^2. Rounding to two significant figures gives a = 1.8 m/s^2.

The acceleration of an object can also be affected by friction. Friction is a force that opposes the motion of an object and is proportional to the normal force (the force perpendicular to the surface the object is moving on).

This means that the larger the normal force, the larger the friction force. If the friction force is large enough, it can reduce or even cancel out the net force, resulting in a lower acceleration or even no acceleration at all.

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if the universe is expanding at the speed of light will we ever be able to see anything beyond what we currently see?

Answers

Nothing can move at speeds more than 300,000 km/s. Only massless particles, like the photons that make up light, are able to move that quickly. because it would need an endless quantity of energy to do so.

Further than the speed of light, what else is there?

Thus, somewhat strangely, de Rham claims that the only thing that can travel beyond the speed or light is light itself, but only when it is not in the space vacuum. It is interesting to note that light will never travel faster than 186,282 miles per second regardless of the medium.

What exists beyond the cosmos?

By definition, nothing exists outside the universe if it is infinite. The idea of a finite expanding cosmos suggests that there would be a limit or edge dividing it from something further away.

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what physical property denotes the color of a powdered mineral?

Answers

The term "streak" refers to a physical characteristic that describes a mineral's hue.

What factors into a mineral's powdered color?

The streak of a mineral refers to the color of the material when it is in powdered form. A streak plate is an unglazed piece of porcelain that is used to locate a mineral's streak. The streak is the mark that was left here on streak plate.

What shade is the powder made of minerals?

The term "streak" refers to a mineral's powder color. This phrase refers to the procedure used to inspect a mineral's powder known as the "streak test." To inspect the powder left behind, a sample of the stone is swiped across a "streak plate."

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a 27 pound meteorite struck a car, leaving a dent 23 cm deep in the trunk. if the meteorite struck the car with a speed of 460 m/s, what was the magnitude of its deceleration, assuming it to be constant?

Answers

The magnitude of the deceleration of the 27 pound meteorite when it struck the car can be calculated using the formula v²/2d, where v is the initial velocity (460 m/s) and d is the distance traveled (23 cm). This gives a deceleration value of 4.57 x 10⁻² m/s².

Deceleration is the process of decreasing the speed of an object or the rate of change in speed. It is the opposite of acceleration, which is defined as the rate of change in speed or the change in velocity. Deceleration can be caused by several factors, such as friction, air resistance, or a decrease in motor power. Deceleration can also occur naturally due to the laws of physics, as an object in motion will eventually slow down due to gravity and other natural forces. Deceleration is important in many applications, such as controlling the speed of a vehicle and ensuring safety on the roads.

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Why might the Earth's inner core have stopped and perhaps reversed course?

Answers

The Earth's inner core is thought to have stopped and perhaps reversed its rotation due to complex interactions between the inner and outer cores. The Earth's inner core is solid and surrounded by a liquid outer core.

What is the reason behind inner core's change in rotation?

The exact reason for the inner core's change in rotation is not yet fully understood, but some scientists believe it could be related to changes in the Earth's magnetic field or variations in the flow of the liquid outer core.

What is the significance of inner core rotation?

Some scientists believe that the inner core's rotation may play a role in the evolution of the Earth's magnetic field and the stability of the Earth's core.

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An astronaut stands on the edge of a lunar crater and throws a half-eaten Twinkie™ horizontally with a velocity of 5.00 m/s. The floor of the crater is 100.0 m below the astronaut. What horizontal distance will the Twinkie™ travel before hitting the floor of the crater? (The acceleration of gravity on the moon is 1/6th that of the Earth).

Answers

Answer:

33.35 meters

Explanation:

The horizontal distance traveled by the Twinkie™ can be calculated using the following equation:

d = v0 * t

Where v0 is the initial horizontal velocity, and t is the time it takes for the Twinkie™ to reach the floor of the crater. To find t, we can use the equation for the vertical motion of the Twinkie™:

y = v0y * t - (1/2) * g * t^2

Where v0y is the initial vertical velocity, g is the acceleration due to gravity on the moon (1/6th that of the Earth), and y is the vertical distance from the astronaut to the floor of the crater (100 m). Since the Twinkie™ was thrown horizontally, the initial vertical velocity is 0, so the equation simplifies to:

100 = - (1/2) * (1/6 * 9.8) * t^2

Solving for t:

t = sqrt(100 * 2 / (1/6 * 9.8)) = sqrt(100 * 2 * 6 / 9.8) = sqrt(1200 / 9.8) = 6.67 seconds

Finally, we can use the horizontal velocity and the time to calculate the horizontal distance traveled by the Twinkie™:

d = v0 * t = 5.00 m/s * 6.67 s = 33.35 m

So the Twinkie™ will travel 33.35 meters horizontally before hitting the floor of the crater.

a conducting sphere of radius 0.5 m has charge per area 3 mc/m2 distributed uniformly on its surface. there is no unbalanced charge on the sphere except on the surface. what is the total charge on the sphere?

Answers

The total charge on the sphere is determined by multiplying the charge per area by the surface area of the sphere.

The surface area of a sphere with a radius of 0.5m is 4πr², so the total charge on the sphere is 4π * 0.5² * 3mc/m², or 6mc.

In addition to the total charge, the electric field around a sphere with a uniform charge distribution can be calculated using Gauss's Law. Specifically, the electric field at a distance r from the center of the sphere is given by the equation E = σ/2εo, where εo is the permittivity of free space.

This equation states that the electric field is proportional to the charge per area and inversely proportional to the distance from the center of the sphere.

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light of wavelength 447 nm from a he-ne laser passes through a circular aperture and is observed on a screen 2.0 m behind the aperture. the diameter 'of the central bright area is 26.6 cm. what is the diameter of the aperture?

Answers

The light of wavelength 447 nm from a He-Ne laser passes through the circular aperture and  observed on the screen 2.0 m behind the aperture. The diameter of the aperture is  8.2 × 10⁻⁶ m.

The expression is as follows :

Diameter, D = 2.44 × d × λ / D'

Where

λ = wavelength = 447 × 10⁻⁹  m

d = 2 m

D' = 26.6 cm = 0.266 m

D = 2.44 × d × λ / D'

D = ( 2.44 × 447 × 10⁻⁹  × 2 ) / 0.266

D = 8.2 × 10⁻⁶ m

Thus , the diameter of the aperture is  8.2 × 10⁻⁶ m.

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