what shape does a bloodstain make when it falls perpendicular

Answers

Answer 1

When a bloodstain falls perpendicular to a surface, it forms a circular shape. Bloodstain Pattern Analysis (BPA) is a method used in forensic science to interpret patterns in bloodstains that are found at crime scenes.

Bloodstain patterns may provide vital clues about the crime scene, which may then be used to reconstruct what happened. A forensic scientist may use various techniques to examine bloodstain patterns.

There are four primary components of bloodstain pattern analysis, which are:-

The bloodstain itself- The pattern of the bloodstain- The surface that the bloodstain landed on- The position of the bloodstain relative to other objects

The interpretation of bloodstain patterns necessitates the use of scientific principles and research from physics, biology, and mathematics. In addition, bloodstain pattern analysis is used in combination with other forensic techniques, such as DNA analysis and forensic ballistics.

A bloodstain pattern can provide a wealth of information about a crime scene. The size and shape of a bloodstain may be used to reconstruct the crime.

The pattern of blood spatter may indicate the location of the assailant, the victim's position, and the type of weapon used in the attack.

Finally, bloodstains can also be used to determine the amount of blood lost by a victim, which may help medical personnel treat the victim's injuries more effectively.

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Related Questions

the amount of energy available to do work is called:

Answers

Answer:

Gibbs, free energy

Explanation:

Please Help Me!!!!!!!​

Please Help Me!!!!!!!

Answers

Answer:

Ice is less dense than water

Explanation:This is due to ice's density being less than liquid water's density.It happens that the lattice arrangement allows water molecules to be more spread out than in a liquid, and, thus, ice is less dense than water.

So this answer is A

Blood flows through a coronary artery that is partially blocked by deposits along the artery wall. Through which part of the artery is the flux (volume of blood per unit time) largest? A. The narrow part B.The wide part C.Same in both

Answers

When blood flows through a coronary artery that is partially blocked by deposits along the artery wall, the flux (volume of blood per unit time) is highest through the wide part of the artery. Therefore, the correct option is B.

The flux is a measurement of the flow of fluid per unit area over time. The rate of flow of the fluid depends on the volume of fluid and the cross-sectional area of the tube. Therefore, the wider the part of the artery, the larger the cross-sectional area, and the larger the volume of blood that can pass through the artery per unit time. This is because the narrow part of the artery has a smaller cross-sectional area and can not handle as much blood as the wide part. Hence, the flux is largest through the wide part of the artery.  Same in both A and C is not the correct answer because the flux would not be the same in both the narrow and wide part of the artery because the narrow part would restrict the flow of blood.

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Fossil fuels store energy from the sun as

question 5

Fossil fuels store energy from the sun asquestion 5

Answers

Answer:

Fossil fuels store energy from the sun as

Explanation:

2. A quantity of gas is trapped by a piston in a cylinder with thin metal walls. The piston is free to move
without friction within the cylinder.
a) The air in the freezer is at atmospheric pressure, which is 1.0 × 105Pa. The area of the piston in
contact with the air in the freezer is 2.4 × 10–3m2
.
i. Calculate the force exerted on the piston by the air in the freezer.
ii. When the cylinder is first placed into the freezer, the temperature of the gas in the cylinder decreases
and the air pushes the piston into the cylinder. Calculate the work done on the piston by the air in the
freezer as the air pushes the piston at distance of 0.021m into the cylinder.
b) The initial temperature of the cylinder and the gas is 21°C and, in the freezer, the temperature of the
cylinder decreases to –18°C. The thermal capacity of the cylinder is 89J/ °C. Calculate the change in
the internal energy of the cylinder.

Answers

a)

i. The force exerted on the piston by the air in the freezer is 240 N.

ii. The work done on the piston by the air as it pushes the piston 0.021 m into the cylinder is 5.04 J.

b) The change in the internal energy of the cylinder is 3486 J.

a)  

i. To calculate the force exerted on the piston by the air in the freezer, we can use the formula:

Force = Pressure * Area

Given:

Pressure (P) = 1.0 × \(10^5\) Pa

Area (A) = 2.4 ×\(10^(^-^3^) m^2\)

Substituting these values into the formula, we have:

Force = (1.0 × 10^5 Pa) * (2.4 ×\(10^(^-^3^) m^2)\)

      = 240 N

ii. To calculate the work done on the piston by the air in the freezer as the air pushes the piston, we can use the formula:

Work = Force * Distance

Given:

Force = 240 N

Distance (d) = 0.021 m

Substituting these values into the formula, we have:

Work = (240 N) * (0.021 m)

     = 5.04 J

b) To calculate the change in the internal energy of the cylinder, we can use the formula:

ΔU = mcΔT

Given:

Initial temperature (T1) = 21°C = 21 + 273 = 294 K

Final temperature (T2) = -18°C = -18 + 273 = 255 K

Thermal capacity (c) = 89 J/°C

Substituting these values into the formula, we have:

ΔU = (89 J/°C) * (294 K - 255 K)

   = 3486 J

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the primary si unit for the magnetic field strength is

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The primary SI unit for magnetic field strength is the Tesla (T). The Tesla is defined as the amount of magnetic field that exerts a force of one Newton on a current-carrying conductor per meter of length, when the conductor is placed perpendicular to the magnetic field.

It is named after the Serbian-American inventor and electrical engineer, Nikola Tesla. The Tesla is a large unit, so smaller units like the Gauss (G) are also commonly used to express magnetic field strength, where 1 Tesla is equal to 10,000 Gauss.

The Tesla is widely used in scientific and engineering applications to quantify and measure the strength of magnetic fields produced by magnets, electric currents, and other sources.

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does increasing the magnitude of a uniform magnetic field through which a charge is traveling necessarily mean increasing the magnetic force on the charge? does changing the direction of the field necessarily mean a change in the force on the charge?

Answers

Since the magnetic force and velocity are orthogonal, the velocity only changes in direction but not in magnitude . Circular motion is the end consequence. The force is in the opposite direction from the right-hand rule and has a negative charge.

Uniform In circular motion, an object moves in two dimensions with a constant speed in a fixed circular direction; however, because the object's direction changes at every point, the velocity also changes, and the direction at each point is always the tangent.

In physics, magnetic force is referred to as an object's maximal size and direction. Both vector and scalar values use magnetic force as a common factor. We understand that by definition

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Answer: The velocity simply changes in direction, not magnitude, as the magnetic force and velocity are orthogonal.

Explanation: The velocity simply changes in direction, not magnitude, as the magnetic force and velocity are orthogonal. The resultant motion is circular. The force has a negative charge and is directed in the opposite direction from the right-hand rule.

Uniform In a circular motion, an item moves in two dimensions with a constant speed in a fixed circular direction; yet, because the object's direction varies at each point, the velocity also alters, and the direction at each point is consistently the tangent.

As an object's maximum size and direction, the magnetic force is referred to in physics. Magnetic force is a factor that is present in both scalar and vector values. We comprehend that by nature.

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A projectile is fired into the air at a 35o angle to the horizontal and an initial velocity of 120 m/s. what are the x and y components of the velocity vector?

Answers

Answer:

See below

Explanation:

X component = 120 * cos 35° =  98.298 m/s

Y component = 120 * sin 35° = 68.829 m/s

Any object launched into space with only gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. The x and y components of the velocity vector are 98.298 m/s and 68.829 m/s.

When a particle is thrown obliquely close to the Earth's surface, it travels along a curving route while experiencing constant acceleration. Always pointing in the direction of the Earth's center is this curving path. Such a particle's motion is referred to as projectile motion, and its trajectory is known as the projectile's trajectory.

The components of the projectile are:

X component = 120 × cos 35° =  98.298 m/s

Y component = 120 × sin 35° = 68.829 m/s

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A vibrating guitar string makes very little sound if it is not mounted on the guitar body. Why does the sound have greater intensity if the string is attached to the guitar body? (a) The string vibrates with more energy. (b) The energy leaves the guitar at a greater rate. (c) The sound power is spread over a larger area at the listener's position. (d) The sound power is concentrated over a smaller area at the listener's position. (e) The speed of sound is higher in the material of the guitar body. (f) None of these answers is correct

Answers

The sound has greater intensity if the string is attached to the guitar body as the sound power is spread over a larger area at the listener's position.  

A sound wave is  basically  delivered by a vibrating object. As a guitar string vibrates, it sets encompassing air particles into vibrational movement. The frequency at which these air particles vibrate is rise to the frequency of vibration of the guitar string. The back and forward vibrations of the surrounding air particles make a pressure wave that voyages outward from its source. This pressure wave comprises compressions and rarefactions. The compressions are regions of high pressure, where the air particles are compressed into a little region of space. The rarefactions are districts of low pressure, where the air particles are spread and separated. This substituting design of compressions and rarefactions is known as a sound wave. A guitar string vibrating by itself does not deliver a really loud sound. The string itself disturbs exceptionally small air since its little surface zone makes exceptionally small contact with encompassing air particles. In any case, in case the guitar string is joined to a bigger object, such as a wooden sound box, at that point more air is aggravated. The guitar string forces the sound box to start vibrating at the same frequency as the string. The sound box in turn powers surrounding air particles into vibrational movement. Since of the huge surface range of the sound box, more discuss particles are set into vibrational movement. This produces a more capability of hearing a sound.

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An aircraft has a liftoff speed of 33 m/s. What minimum constant acceleration does this require if the aircraft is to be airborne after a take-off run of 240 m

Answers

Answer:

2.27 m/s²

Explanation:

Recall that one of the equations of motion can be expressed as

v² = u² + 2as

where

v = final velocity = takeoff speed = 33m/s

u = initial velocity = rest = 0 m/s

a = acceleration ( we are asked to find this)

s = distance traveled = length of takeoff run = 240m

substituting the known values into the equation above,

v² = u² + 2as

33² = 0² + 2a(240)

1089= 480a

a = 1089/480

a = 2.27 m/s²

ANSWER

2.27 m/s^2

EXPLANATION

We can use the general relationship from kinematics:

vf^2 = vi^2 + 2as

where:

s = distance;

a = acceleration;

vi = 0m/s is the initial velocity;

vf=33ms is the final velocity.

So:

33^2 = 0^2 + 2 ⋅ a ⋅ 240

a= 1089/480

= 2.27m/s^2

write T if the statement is True and F if it is false and correct the false statement.
1) mechanical wave is an electric perturbation.
2)5×10^14Hz is a wave exists in the visible light.
3)gamma rays used in medicine ha lower frequency than ultraviolet.
4) infrared waves have waves length smaller than visible length.​

Answers

Answer:

1=f 2=t 3=f 4=t

Explanation:

You start driving north for 9 miles, turn right , and drive East for another 40 miles. At the end of driving, what is your staight line distance from your starting point?

Answers

Answer:

41 miles

Explanation:

Also, the straight line distance from your starting point is technically called your displacement.

PLS HELP. PLEASE. What is the role of DNA in determining an organism’s traits?
Answer using these words: DNA, chromosome, gene, allele, dominant, recessive

Answers

Answer:

DNA contains the instructions needed for an organism to develop, survive and reproduce. To carry out these functions, DNA sequences must be converted into messages that can be used to produce proteins, which are the complex molecules that do most of the work in our bodies

In the writing of ionic chemical formulas, what factor is "crossed over" in the crossover rule?

Answers

In the writing of ionic chemical formulas the value of each ion's charge is crossed over in the crossover rule.

Rules for naming Ionic compounds

Frist Rule
The cation (element with a negative charge) is written first in the name then the anion(element with a positive charge) is written second in the name.
Second rule
When the formula unit contains two or more of the same polyatomic ion, that ion is written in parentheses with the subscript written outside the parentheses.
Example: Sodium carbonate is written as Na₂CO₃ not Na₂(CO)₃
Third rule
If the cation is a metal ion with a fixed charge then the name of the cation will remain the same as the (neutral) element from which it is derived (Example: Na+ will be sodium).
If the cation is a metal ion with a variable charge, the charge on the cation is indicated using a Roman numeral, in parentheses, immediately following the name of the cation (example: Fe³⁺ = iron(III)).
Fourth rule
If the anion is a monatomic ion, the anion is named by adding the suffix -ide to the root of the element name (example: F = Fluoride).

The oxidation state of each ion is also important, thus in the crossover rule, the value of each ion's charge is crossed over.

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An 420 kg car accelerates from 0 to 50 m/s^2 in 4.3 s.
What is the acceleration of the car and what is the force produced by the
car?

Answers

The acceleration of the car is \(11.63 m/s^2.\) The force produced by the car is 4,876.4 Newtons.

How to calculate the force and acceleration?

To find the acceleration of the car, we can use the formula:

acceleration = (final velocity - initial velocity) / time

In this case, the initial velocity is 0 m/s, the final velocity is 50 m/s, and the time is 4.3 s. Substituting these values into the formula, we get:

acceleration = (50 m/s - 0 m/s) / 4.3 s =\(11.63 m/s^2\)

Therefore, the acceleration of the car is\(11.63 m/s^2.\)

To find the force produced by the car, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:

force = mass x acceleration

In this case, the mass of the car is 420 kg, and the acceleration is 11.63 m/s^2. Substituting these values into the formula, we get:

\(force = 420 kg \times 11.63 m/s^2 = 4,876.4 N\)

Therefore, the force produced by the car is 4,876.4 Newtons.

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when hot iron nail is kept in cold water, the temperature of iron is reduced, whereas the temperature of water is increased why?​

Answers

Answer:

...

Explanation:

when a very hot iron meets cold water there is a very fast transfer of energy, and the water begins to heat up.

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if the current in the long straight wire is increasing, what current is induced in the circular loop?

Answers

If the current in a long straight wire is increasing, the current is induced in the circular loop will be generated in the nearby circular loop.

Faraday's Law states that the electromotive force (EMF) induced in a circuit is proportional to the rate of change of magnetic flux passing through it. As the current in the straight wire increases, the magnetic field around it strengthens, and the change in magnetic flux through the circular loop causes an induced current. The direction of this induced current is determined by Lenz's Law, which states that the induced current will flow in such a way as to oppose the change in magnetic flux causing it.

In this case, as the magnetic field due to the straight wire increases, the induced current in the circular loop will flow in a direction that generates a magnetic field opposing the increase in the straight wire's magnetic field. The magnitude of the induced current depends on the rate of change of the magnetic field, the loop's size, shape, and distance from the straight wire, as well as the resistance of the loop's material. If the current in a long straight wire is increasing, the current is induced in the circular loop will be generated in the nearby circular loop.

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All circular motions are usually periodic but all periodic motions are not circular why

Answers

All periodic motions are not circular bcox they aren't similar to each other as u know the motion repeats the periodic table and also repeats itself of the tym perform the motion of the periodic...

Answer:

t is usually seen that all circular motions are usually periodic

Explanation:

but all periodic motions are not circular

this can be proved by an example for example when vehicles runs in uniform speed of motion then its speed is called periodic motion

where is his speed might not be called circular motion

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An inductor is connected across an oscillating emf with a peak current of 2.00 A. If the peak emf ℰ0 is doubled, what is the peak current?
2.00 A
4.00 A
1.00 A
1.41 A

Answers

An inductor is made up of two terminals and an insulated wire coil that either loops around air or around a core substance that boosts the magnetic field.


The relationship between peak current and peak emf in an inductor is given by:

I0 = ℰ0 / XL

where I0 is the peak current, ℰ0 is the peak emf, and XL is the inductive reactance.

Since the inductor is connected across an oscillating emf, we can assume that the frequency is constant. Therefore, the inductive reactance remains constant.

If the peak emf is doubled, then the peak current is given by:

I0' = (2ℰ0) / XL

I0' = 2(I0)

I0' = 2(2.00 A) = 4.00 A

The peak value of a sine wave is given by the root-mean-square (rms) value divided by the square root of 2:

I0peak = Irms / √2

For a sine wave with a peak current of 2.00 A, the rms current is:

Irms = 2.00 A / √2 = 1.41 A

Therefore, if the peak emf is doubled, the peak current will be:

I0peak' = Irms / √2

I0peak' = 1.41 A / √2 = 1.41 A

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In an RLC series circuit, which of the following does the quality factor of the circuit depend on? (Select all that apply.)

- Width of the resonance
- L
- R
- C

Answers

L

R

C...

On the values of the inductance (L), resistance (R), and capacitance (C). The L, R, and C values determine the resonance frequency of the circuit.

What is the Quality Factor(Q) of an RLC Circuit?

The quality factor (Q) of an RLC series circuit is a measure of how underdamped the circuit is. It is defined as the ratio of energy stored in the circuit to energy lost per cycle. In an RLC series circuit, the Q factor depends on the values of the inductance (L), resistance (R), and capacitance (C). The L, R, and C values determine the resonance frequency of the circuit, as well as the damping of the oscillations at that frequency.

The value of L determines the amount of energy stored in the circuit's magnetic field. A higher value of L results in a higher Q factor.

The value of R determines the amount of energy lost in the circuit due to resistance. A lower value of R results in a higher Q factor.

The value of C determines the amount of energy stored in the circuit's electric field. A higher value of C results in a higher Q factor.

The width of the resonance, which is the difference between the frequency at which the circuit is resonant and the frequency at which the circuit's impedance is half the resonant impedance is also dependent on the Q factor, as the Q factor is inversely proportional to the width of the resonance.

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now assume that a strong, uniform magnetic field of size 0.55 t pointing straight down is applied. what is the size of the magnetic force on the wire due to this applied magnetic field? ignore the effect of the earth's magnetic field. express your answer in newtons to two significant figures.

Answers

The size of the magnetic force on the wire due to the applied magnetic field of 0.55 T pointing straight down is 0.55 N (to two significant figures).

The magnetic force on a current-carrying wire is given by the equation F = I * L * B * sinθ, where F is the magnetic force, I is current, L is the length of the wire, B is the magnetic field, and θ is the angle between the current and the magnetic field.

In this case, the wire is carrying a current of 12 A (as given in the previous question), the length of the wire is 0.5 m (also given in the previous question), and the magnetic field is 0.55 T (given in the current question). Since the wire is perpendicular to the magnetic field, sinθ is equal to 1.

Plugging in these values into the equation, we get F = 12 * 0.5 * 0.55 * 1 = 0.55 N, rounded to two significant figures. Therefore, the size of the magnetic force on the wire due to the applied magnetic field is 0.55 N.

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25 POINTS!!!
Copy this concept map, and then use vocabulary terms from the previous page to complete the concept map.

VOCAB
Mechanical wave
Electromagnetic wave
Transverse wave
Longitudinal wave
Frequency
Amplitude
Refraction
Radio wave
Infrared wave
Ultraviolet wave
Transparent
Translucent
Opaque
Intensity
Compression
Rarefaction
Pitch
Decibel

25 POINTS!!!Copy this concept map, and then use vocabulary terms from the previous page to complete the

Answers

Muchos mecanismos de un gran encaje solo invierte y eso te ayudará muchísimo

An ideal gas undergoes isothermal compression, which reduces its volume by 1800 m3. The final pressure and volume of the gas are 1477.5 torr bar and 2140 cm3, respectively. Calculate the original pressure of the gas in (a) torr, (b) Pa.

Answers

The original pressure of the gas is approximately 1.758 torr.

To calculate the original pressure, we use Boyle's Law equation, which states that the product of initial pressure and volume is equal to the product of final pressure and volume for an isothermal process. By rearranging the equation and substituting the given values, we can solve for the original pressure. The result is approximately 1.758 torr.

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Which is heavier?
A kilogram of steel?
or
A kilogram of feathers?

Answers

Answer: below

Explanation: 1kg of steel is slightly heavier than 1 kg of feathers. 1 kg of feather will displace more air as the density of feather is very less comparitively. More the volume displaced more is the upthrust and less the apparent weight.

1 kg of steel is slightly heavier than 1 kg of feathers because 1 kg of feathers will displace more air as the density of the feather is comparatively much lower where the volume displaced is greater, buoyancy is reduced and the apparent weight is less.

What is Buoyancy?

Buoyancy is defined as the tendency of an object to float in a liquid, where all liquids and gases in the presence of gravity exert an upward force, which is known as buoyant force, on any object immersed in them. resulting from a difference in pressure acting on opposite sides of an object immersed in a still fluid.

When we compare 1 kg of steel to 1 kg of feather, steel is slightly heavier as feather will displace more air as density of feather is comparatively much less where displacement is more, buoyancy is less and obviously Weight decreases.

Thus, 1 kg of steel is slightly heavier than 1 kg of feathers

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1. A wave on a rope has a wavelink of 2.0m And a frequency of 2.0 Hz. What is the speed of the wave?
2. If 10 waves pass by a dark on a lake every 16.0 seconds, What is the frequency of the wave?
3. What is the wavelength of an Earthquake wave if it has a speed of 5.0 km/s and a frequency of 10Hz?
4.The speed of light is 3.0 X 10^8 m/s. Red light has a wavelength of 7.0 X 10^-7 m. What is the frequency of red light?
5. And ocean waves moving towards the shore at a speed of 5m/s. If the frequency is 2.5Hz, what is the wavelength of the wave?

Answers

Answer:

1. 4

2.0.625HZ

3.500

4. 428274940000000 or 4.2*10^14

5. 2

Explanation:

omnicalculator.com/physics/wavelength

What is a vector?
A. A quantity that does not indicate a direction. B. The direction of a vector. C. A quantity with magnitude and a direction. D. A measurement of distance.

Answers

Answer:

C. A quantity with magnitude and a direction.

Explanation:

A vector can be defined as a quantity with magnitude and direction. Some examples of vector quantities are velocity, position, displacement, force, torque, acceleration.

For example, given the following data;

Time, t = 18.5secs

Final velocity = 78m/s

Initial velocity = 0

Substituting into the equation;

\(a = \frac{78 - 0}{18.5}\)

\(a = \frac{78}{18.5}\)

Acceleration, a = 4.22m/s²

Therefore, the acceleration of the object is 4.22m/s² due North.

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)

\(a = \frac{v - u}{t}\)

Where,

a is acceleration measured in \(ms^{-2}\)

v and u is final and initial velocity respectively, measured in \(ms^{-1}\)

t is time measured in seconds.

Answer:

C. A quantity with magnitude and a direction.

Explanation:

Vector Quantity

A physical Quantity, which has magnitude, direction and units But must follow the traingle law of vector addition

a board that is 20.0 cm wide, 5.00 cm thick, and 3.00 m long has a density 350 kg/m3. the board is floating partially submerged in water of density 1000 kg/m3. what fraction of the volume of the board is below the surface of the water? a) 0.350 b) 0.650 c) zero d) 0.200 e) the answer depends on which edge of the board is vertica

Answers

The fraction of the volume of the board below the surface of the water is 0.35. Option A is correct.

To determine the fraction of the volume of the board below the surface of the water, we can compare the densities of the board and the water.

The board has a density of 350 kg/m³, and the water has a density of 1000 kg/m³.

When an object floats in a fluid, it displaces an amount of fluid equal to its own weight. For the board to float, the weight of the water displaced by the submerged portion of the board must be equal to the weight of the board itself.

Let's calculate the weight of the board first;

Weight of the board = Volume of the board × Density of the board

The volume of the board is calculated by multiplying its dimensions:

Volume of the board = Length × Width × Thickness

Given;

Length = 3.00 m

Width = 20.0 cm = 0.20 m

Thickness = 5.00 cm = 0.05 m

Density of the board = 350 kg/m³

Volume of the board = 3.00 m × 0.20 m × 0.05 m = 0.03 m³

Weight of the board = 0.03 m³ × 350 kg/m³ = 10.5 kg

To find the fraction of the volume below the surface of the water, we need to determine the volume of water displaced by the submerged portion of the board. This volume can be calculated using Archimedes' principle:

Volume of water displaced = Weight of the board / Density of water

Given;

Density of water = 1000 kg/m³

Volume of water displaced = 10.5 kg / 1000 kg/m³ = 0.0105 m³

Finally, the fraction of the volume of the board below the surface of the water can be calculated as;

Fraction = Volume of water displaced / Volume of the board

Fraction = 0.0105 m³ / 0.03 m³ = 0.35

Therefore, the fraction of the volume of the board below the surface of the water is 0.35.

Hence, A. is the correct option.

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Number of atoms present in 1 mole of oxygen atom

Answers

Answer:

1 mole of every substance has 6.022 × 10^23 particles. This is called Avagadro's constant

A radio station operating at a frequency of 1500 KHz = 1.5 X 10' Hz (near the top end of the AM broadcast band) has two identi- cal vertical dipole antennas spaced 400 m apart, oscillating in phase. At distances much greater than 400 m, in what directions is the intensity greatest in the resulting radiation pattern? (This is not just a bypothetical problem. It is often desirable to beam most of the radiated energy from a radio transmitter in particular directions rather than uniformly in all directions. Pairs or rows of antennas are often used to produce the desired radiation pattern.)

Answers

The wavelength is  \(\rm \( \lambda = 200 \, \text{m} \)\) and \(\rm \( D = 400 \, \text{m} \)\).

Given that the frequency f is 1500 kHz = \(\(1.5 \times 10^6\)\) Hz and the distance between the dipole antennas D is 400 m.

1) First, let's find the wavelength \((\(\lambda\))\):

\(\[ \lambda = \frac{v}{f} \]\)

Where v is the speed of light \((\(3 \times 10^8\) m/s)\) and f is the frequency:

\(\rm \[ \lambda = \frac{3 \times 10^8 \, \text{m/s}}{1.5 \times 10^6 \, \text{Hz}} \\= 200 \, \text{m} \]\)

Now that we have the wavelength, we can proceed to analyze the radiation pattern:

In the far-field region (at distances much greater than D = 400 m, the interference pattern of the two identical vertical dipole antennas can be analyzed using the concept of constructive interference.

The condition for constructive interference is that the path difference between the two antennas is an integer multiple of the wavelength.

Mathematically, this can be expressed as:

\(\rm \[ D \sin(\theta) = n \lambda \]\)

Where D is the distance between the antennas, \(\( \theta \)\) is the angle with respect to the line connecting the antennas, \(\( \lambda \)\) is the wavelength, and n is an integer (0, 1, 2, ...).

Solving for \(\rm \( \sin(\theta) \)\):

\(\rm \[ \sin(\theta) = \frac{n \lambda}{D} \]\)

Substitute the values

\(\rm \( \lambda = 200 \, \text{m} \)\) and

\(\rm \( D = 400 \, \text{m} \)\).

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if a horse runs around a 1900 meter circular track once in 95 seconds, what is the velocity, in m/s, of the horse?

Answers

The velocity of the horse is 20 meters/second.

To find the velocity of the horse, we can use the formula:

velocity = distance / time

In this case, the distance is 1900 meters and the time is 95 seconds. Plugging in these values into the formula, we get:

velocity = 1900 meters / 95 seconds

Simplifying, we find that the velocity of the horse is:

velocity = 20 meters/second

Speed is the speed and the bearing of movement of an item. Speed is a basic idea in kinematics, the part of traditional mechanics that depicts the movement of bodies. Velocity. As a shift in course happens while the dashing vehicles turn on the bended track, their speed isn't steady.

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