Match the property of a sound wave to the correct definition.

The Reynolds number of the baseball is 2.15 × 10⁹, the drag force acting on the baseball is 2.18 N and the type of flow around the baseball is turbulent.

Given, The circumference of a baseball, C = 914 in

The weight of the baseball, w = 514 oz

The velocity of the baseball, V = 95 mph The Reynolds number, R can be calculated using the formula, R = \(\frac{\rho VD}{\mu}\)

Where ρ is the density of air, D is the diameter of the baseball, and μ is the dynamic viscosity of air.

At standard conditions of temperature and pressure, the density and dynamic viscosity of air are ρ = 1.2 kg/m3 and μ = 1.8 × 10⁻⁵ kg/m s, respectively.

The diameter of the baseball can be found using the relation, C = πD ⇒ D = \(\frac{C}{\pi}\)

Putting in the values, D = \(\frac{914}{\pi}\) = 291.2 in.

Now, converting D to meters, D = 291.2/39.37 = 7.39 m.

Now, substituting the given values in the Reynolds number equation, R = \(\frac{1.2 × 7.39 × 95 × 0.3048}{1.8 × 10^{-5}}\)= 2.15 × 10⁹

The type of flow can be determined from the Reynolds number. For R > 2 × 10⁵⁰⁰⁰, the flow is considered turbulent, while for R < 2 × 10⁵, the flow is considered laminar.

In this case, R > 2 × 10⁵, hence the flow around the baseball is turbulent.

The drag force, F can be found using the formula,F = \(\frac{1}{2}ρVC_{d}A\)

Where Cd is the drag coefficient and A is the cross-sectional area of the baseball.

The cross-sectional area of the baseball is given by, A = \(\frac{\pi D^2}{4}\)

Substituting the values, A = \(\frac{\pi (291.2)^2}{4 × 39.37^2}\) = 0.408 m²

Now, the drag coefficient can be estimated using the Reynolds number, for which the drag coefficient chart is given. From the chart, Cd ≈ 0.35.

Substituting the given values, F = \(\frac{1}{2}ρVC_{d}A\)= \(\frac{1}{2} × 1.2 × 95 × 0.3048 × 0.35 × 0.408\)= 2.18 N

Hence, the drag force acting on the baseball at 95 mph is 2.18 N.

Therefore, the Reynolds number of the baseball is 2.15 × 10⁹, the drag force acting on the baseball is 2.18 N and the type of flow around the baseball is turbulent.

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D. The specific heat of a gas can be measured at constant pressure.

By definition, the specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.

Water has a high specific heat, which means that it takes more energy to raise the temperature of water than other substances.

For gaseous substances, their specific heats can be measured at constant pressure.

Using the above as a guide, we have the following:

The accurate statement about specific heat is (d)

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the work done on the object is 20000 J.

The conversion factor from horsepower to watts is 1 hp = 746 watts.

Therefore, the Ford Shelby GT 500's horsepower of 760 hp can be converted to watts as follows:

760 hp × 746 watts/hp = 567760 watts

To convert horsepower to watts, you simply need to multiply the number of horsepower by the conversion factor of 746 watts/hp.So, the numeric answer for 760 hp in watts is 567760.

According to the work-energy principle, the work done on an object is equal to the change in kinetic energy. Mathematically, the work-energy principle can be represented as follows:

W = ΔKHere, W represents the work done on the object, and ΔK represents the change in kinetic energy of the object.

The change in kinetic energy can be calculated using the following formula:

ΔK = (1/2)mvf² - (1/2)mvi²

Here, m represents the mass of the object, vi represents the initial velocity of the object, and vf represents the final velocity of the object. In this case, the object is initially at rest (vi = 0), so the formula can be simplified to

:ΔK = (1/2)mvf²

Now, we can use the following kinematic equation to calculate the final velocity of the object:

vf² = vi² + 2ax

Here, a represents the acceleration of the object, x represents the displacement of the object, and vi represents the initial velocity of the object. Plugging in the given values, we get:

vf² = 0 + 2(10 m/s²)(30 m - 10 m)vf² = 400 m²/s²vf = 20 m/s

Now, we can plug in the values of m and vf to calculate the change in kinetic energy:

ΔK = (1/2)(100 kg)(20 m/s)²ΔK = 20000 JSo, the numeric answer for the work done on the object is 20000 J.

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Answer:

Explanation:

vf=0

vi = 17

a = -0.8

Δx = ?

vf^2 = vi^2 + 2 a Δx

Δx = (vf^2 - vi^2) / 2a

Δx = (0-17^2) / 2 (-0.8)

Δx = 180.625 m

Answer:

d = 120 [m]

Explanation:

In order to solve this problem, we must use the theorem of work and energy conservation. Where the energy in the final state (when the skater stops) is equal to the sum of the mechanical energy in the initial state plus the work done on the skater in the initial state.

The mechanical energy is equal to the sum of the potential energy plus the kinetic energy.  As the track is horizontal there is no unevenness, in this way, there is no potential energy.

E₁ + W₁₋₂ = E₂

where:

E₁  = mechanical energy in the initial state [J] (units of Joules)

W₁₋₂ = work done between the states 1 and 2 [J]

E₂  = mechanical energy in the final state = 0

E₁ = Ek = kinetic energy [J]

E₁ = 0.5*m*v²

where:

m = mass = 60 [kg]

v = initial velocity = 12 [m/s]

Now, the work done is given by the product of the friction force by the distance. In this case, the work is negative because the friction force is acting in opposite direction to the movement of the skater.

W₁₋₂ = -f*d

where:

f = friction force = 36 [N]

d = distance [m]

Now we have:

0.5*m*v² - (f*d) = 0

0.5*60*(12)² - (36*d) = 0

4320 = 36*d

d = 120 [m]

Answer:

1,600 km

Explanation:

since the acceleration due to gravity reduces by 36%, it means that (1 - 36%) of acceleration still remains:

g' = 64g/100

using the acceleration formula:

g' = g x [R² / (R + height)²]

64g/100 = g x [R² / (R + height)²]

64/100 = R² / (R + height)²

√(64/100) = √[R² / (R + height)²]

8/10 = R / (R + height)

8 (R + height) = 10R

8R + 8height = 10R

8height = 2R

height = 2R / 8 = R / 4

R = 6,400 km

height = 6,400 km / 4 = 1,600 km

Answer:

Answer:

Paul found that fast food burgers cause penguins to lose weight.

Explanation:

Answer:

It is important to use renewal resources because we use so many non- renewable resources that we may lose the ability to make a lot of things like gasoline or power for our cities.

Answer:

the shortest path between two points is displacement..

Explanation:

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Answer: I believe his brother, Mike, who is 6'2, will have the longer shadow.

Answer: A.

Explanation:

Solar eclipse happens when Sun casts a shadow directly on Earth and the Moon. Option A is correct.

A solar eclipse occurs when the Sun throws a shadow directly on Earth and the Moon.

When the Sun throws a shadow directly on the Earth and the Moon, it is called a solar eclipse.

Hence,option A is correct.

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The following statement “Adams and Leverrier predicted the position of Neptune, based on its perturbation analysis of uranus.” is True.

Adams and Leverrier independently predicted the position of Neptune based on their observations of the perturbations in the orbit of Uranus. In the mid-19th century, astronomers noticed that Uranus was not moving exactly as predicted by Newtonian mechanics, suggesting the presence of an unknown celestial body influencing its orbit.

Using mathematical calculations and perturbation analysis, John Couch Adams (an English mathematician) and Urbain Le Verrier (a French mathematician) separately predicted the existence and approximate position of Neptune. Their predictions led to the actual discovery of Neptune in 1846.

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Answer:

10

Explanation:

if you put 10 your right

Explanation:

for the car question

the answer is

that the box on the roof will slip forward when the car hits the wooden box

because the box on the car roof is in motion

when the car hit the wooden block

the wooden block will try to stop the car

due to which the speed of the car will be decelerated but the box will try to continue its motion so it will move forward due to inertia of the box

and the answer for the 2nd question is that

the sand bucket will provide more resistance to the change in motion because along with the bucket the sand will also try to not change their state of rest so due to their inertia the sand bucket will provide more resistance than the simple bucket

Answer:

The answer is A good luck :P

Answer:

A

Explanation:

The light Bounces off because it is reflecting off glass or anything else

The frequency of these waves is approximately 25 Hz.

Given the following information:nHuge waves in the ocean, are studied by scientists and researchers. Ships have reported waves with a height of 25 meters high! These waves are said to be about 25 meters long. Assuming that these waves travel at speeds of 6.5 m/s, determine their frequency.

The equation needed to solve for velocity is: Velocity = wavelength x frequency

Step 1: Rearrange the formula and solve for frequency as follows: frequency = velocity / wavelength

Step 2: We are given the velocity of the wave, which is 6.5 m/s. We can also calculate the wavelength using the formula: Velocity = wavelength x frequency

Rearranging the formula to solve for wavelength: wavelength = velocity / frequency ..wavelength = 6.5 m/s / 25 m (since the wavelength is given as 25 meters)wavelength = 0.26 m

Now that we know both the velocity and wavelength, we can substitute them into the formula:f = v / λf = 6.5 m/s / 0.26 mf ≈ 25 Hz . Therefore, the frequency of these waves is approximately 25 Hz.

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If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.

option D is the correct answer.

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is calculated as follows;

1,000 ---------- 0 time

500 ----------- 10.4 hours

125 ------------- 20.8 hours

Thus, from the calculation done above, we can see that If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.

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Answer:

Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

Explanation:

ples give a crown

The time required for the container to move 2.25 metres down the ramp is roughly 0.104 seconds.

From part (f), we have determined the final velocity of the package to be 1.38 m/s. Using this value along with the distance traveled (Δx = 2.25 m), we can calculate the time elapsed using the kinematic equation:

Δx = (vf² - vi²) / 2a

Substituting the values, we get:

2.25 = (1.38² - 0) / (2 * 0.087)

Solving for time (t), we get:

t = 2.25 * 0.087 / 1.897

t ≈ 0.104 seconds

Therefore, the time elapsed when the package travels a distance of 2.25 m down the ramp is approximately 0.104 seconds.

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Answer:

kinetic energy

Explanation:

The normal force on the first box from the table will stay at 75 N even after a second box is placed on top of it.

The normal force is a contact force that is determined by the weight of the object, as well as the interaction between the two surfaces in contact. The regular force that the table normally applies to the first box will stay unchanged because the weight of the box has not changed.

The normal force, which is equivalent in strength to gravity's force and acts in the opposite direction, is a force that is perpendicular to the surface of contact. The box is prevented from dropping through the table's surface by this reactionary force.

In other words, the normal force is equivalent to the object's weight, which in this instance is 75 N.

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Answer:

you have to match the letters in the picture to the list of energy types

Answer: A process occurs in which a system's potential energy increases while the environment does work on the system. The kinetic energy of a system decreases while its potential energy and thermal energy are unchanged.

Explanation: When a process occurs, the potential energy of the system increases while the environment does some work on the system. In this case, the kinetic energy of the object decreases while the potential energy and thermal energy of the system remains unchanged. This is because kinetic energy is used in doing work.

Just copy and paste. Hope this helps :D

Answer:

Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.

In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.

The vertical pressure applied on each square meter of the coal seam can be calculated using the formula g * depth * density. If the coal is extracted using a room and pillar method, the vertical stress on the remaining coal can be determined based on the given dimensions.

a) To calculate the vertical pressure on each square meter of the coal seam, we use the formula: vertical stress = g * depth * density. Given that the depth is 170 m and the density of the overlying rocks is \(2600 kg/m^3\), the vertical stress can be calculated as follows: vertical stress = \(9.8 m/s^2\) * \(170 m * 2600 kg/m^3\). By performing the calculation, the answer can be obtained.

b) Extracting the coal using the room and pillar method with 4.3 m by 4.3 m pillars and 4.7-meter-wide rooms or entries between the pillars will result in vertical stress on the remaining coal. The vertical stress can be calculated using the same formula as in part A but with the new dimensions provided. Using Excel can simplify the calculation process and provide the answer quickly.

c) Considering another coal seam located 300 m underground with a maximum vertical stress-bearing capacity of 20 MPa, the dimensions of the pillars and entries should be determined for maximum recovery. To calculate the dimensions, we need to consider a \(9 m^2\) grid, as mentioned in part b. By using the formula from part b, the vertical stress on the remaining coal can be calculated, and the dimensions can be determined accordingly.

d) When designing the pillars, several factors should be taken into account that can affect their load-bearing capacity. Some of these factors include the geological characteristics of the rock and coal formations, the presence of natural fractures or faults, the stability of the surrounding strata, the stress redistribution during mining, and the potential for roof collapse or pillar failure. Proper consideration and analysis of these factors are crucial to ensure the safe and efficient design of pillars in underground mining operations.

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Speed = Wavelength * Frequency

Answer:

Although the wave slows down, its frequency remains the same, due to the fact that its wavelength is shorter. When waves travel from one medium to another the frequency never changes.

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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Force on the particle is defined as the application of the force field of one particle on another particle. The magnitude and direction of the electrical force will be 4.05×10⁴N towards the north.

Force on the particle is defined as the application of the force field of one particle on another particle. It is a type of virtual force.

The given data in the problem is

q₁ is the negative charge = 6 µC=6×10⁻⁶ C

q₂ is the positive charge = 3 µC=3×10⁻⁶ C

r is the distance between the charges=0.002 m

\(F_E\) is the electric force =?

The value of electric force will be;

\(\rm F_E= \frac{Kq_1q_2}{r^2} \\\\ F_E= \frac{9\times 10^9\times 6\times 10^{-6}\times3\times10^{-6}}{(0.002)^2}\\\\ \rm F_E=4.05\times10^4\;N\)

Hence the magnitude and direction of the electrical force will be 4.05×10⁴N towards the north.

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Answer:

DDDD

Explanation: