If you throw a baseball horizontally with an initial speed of 25.0 m/s from a height of 1.90 m, how long (in s) will it take the ball to hit the ground?

Answers

Answer 1

Here the total time of flight is used to determine how long it will take the ball. it takes 5s to the ball to hit the ground.

Calculation

u = 25 m/s

h= 1.90 m

so tine of ascent = v= u + at

so u = gt so we have t =u/g

putting up the values we have,

t = 2.5 s

so total time of flight = 5s = time taken by the ball to hit the ground.

How is drop by height determined?

An object is said to be in free fall if there are no external forces acting on it other than gravity, which has the determined constant value of g = -9.8 m/s2. The object’s height, or h, is equal to ½ gravity times the square of the falling time. Horizontal projectile motion equations

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Related Questions

The primary coil of an ideal transformer has 100 turns and its secondary coil has 400 turns. if the ac current in the secondary coil is 2 a, what is the current in its primary coil?

Answers

According to the given statement The current in the primary coil is 8 A.

Definitions of primary coil:

Coil that is a component of an electrical circuit and which, when its current changes, causes a current to flow through a nearby circuit. primary and primary winding are synonyms kind of coil. Device that adds inductance to a circuit and is made of of a spiral of insulated wire.

Why is a primary coil used?

AC electricity enters the primary coil here Where the current is induced to carry out any sort of energy transfer is in the secondary coil. In this instance, a light bulb is lit by the current. Transformers come in a variety of designs.

Here,

Number of turns in the primary , np = 100 turns

Number of turns in the secondary , ns = 400 turns

Current in the secondary , Is = 2 A

let the current in the primary coil be Ip

Ip * nP = Is * ns

100*np = 400*2

np = 8 A

The current in the primary coil is 8 A.

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For an object being launched at ground level at a tilted non-zero initial velocity, is the velocity zero anywhere? are the horizontal or vertical components of the velocity zero at any point?

Answers

The correct answer No the velocity is not zero anywhere For an object being launched at ground level at a tilted non-zero initial velocity, and horizontal or vertical components of the velocity is zero at maximum height .

Because velocity is a vector (it has magnitude and direction), the overall velocity of an object can be calculated by adding the x and y components: v2 = vx2 + vy2. Meters are used to express horizontal and vertical distances (m). The horizontal velocity component (vx) describes the effect of velocity on horizontal displacement of the projectile.

The vertical velocity component (vy) describes the effect of velocity on vertical displacement of the projectile. The vertical component of a projectile's velocity is momentarily zero (vy = 0 m/s) when it reaches maximum height. The horizontal component of its velocity, however, is not zero.

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A doctor measures the temperature of a patient
to be 101°F. What is this temperature in kelvins?
(A) 38.3 K
73.8 K
311 K
(C)
214 K
(E) 346 K
(B)
(D)
-please help I’m too lazy to do the math

Answers

Answer: 311.483

Explanation:

(101°F − 32) × 5/9 + 273.15 = 311.483K

State the Second Law Of
Motion

Answers

It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

A physics student places an object 6.0 cm from a converging lens of focal length 9.0 cm. what is the magnitude of the magnification?

Answers

The magnitude of the magnification for converging lens is 3

Converging lens is convex lens whereas diverging lens is a concave lens.

Given:

distance of object from converging lens = 6.0 cm

focal length = 9.0 cm

To Find:

magnitude of the magnification

Solution: Magnification is the ability of a microscope to produce an image of an object at a scale larger (or even smaller) than its actual size.

Magnification (m) = h / h' Here, h is the height of the object and h' is the height of the object. Besides, it can also be related to the object distance and image distance. So, it can be written as: m = -v/u

Using the formula for magnitude of magnification

1/f = 1/d° + 1/di

M = - d1/d° = 3

Hence, magnitude of the magnification is 3

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At speeds over 30 mph, you should maintain a following distance of at least ________ behind the vehicle ahead of you.

Answers

At speeds over 30 mph, you should maintain a following distance of at least three full seconds behind the vehicle ahead of you.

As a general rule and common sense at a speed of 30 mph you can leave three full seconds so that you can achieve a prudent distance between the car you are driving and the car in front in order to be able to perform some kind of maneuver if an accident or unforeseen event occurs.

To count the full three seconds you can use the technique of counting the Mississippis as follows: Mississippi one, Mississippi two, Mississippi three.

What is an accident?

An accident is an unexpected event that generally causes damage, injury or negative consequences.

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Infrared radiation has wavelengths ranging from about 800 nm to 1 mm. What is the corresponding frequency of radiation of a wavelength of 970 nm?.

Answers

By using electromagnetic waves, the frequency of radiation is 3.09 x 10¹⁴ Hz.

We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as

c = λ . f

where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.

From the question above, we know that

λ = 970 nm = 970 x 10¯⁹ m

By substituting the given parameter, we can calculate the frequency of radiation

c = λ . f

f = c / λ

f = 3 x 10⁸ / 970 x 10¯⁹

f = 3.09 x 10¹⁴ Hz

Hence, the frequency of radiation is 3.09 x 10¹⁴ Hz.

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When bill butcher of port city brews discusses shelf space and the way that a merger could increase the leverage potential of large brewers, he is discussing which competitive force?

Answers

He is discussing Bargaining Power of Buyers competitive force.

What do you understand by  leverage?

The employment of various financial instruments or borrowed cash, or leverage, is an investing strategy that aims to improve an investment's potential return. The level of debt a company utilizes to finance its assets is another definition of leverage.

It offers a range of funding options so that the company can reach its desired earnings. Leverage is a crucial investing strategy because it enables businesses to establish a ceiling for the growth of their operations.

Leverage can be used, for instance, to support financially a new business. Purchasing fixed assets or borrowing money in the form of a loan from another business or person can serve as examples of leverage.

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The hydrogen stored inside a large weather balloon has a mass of 135.5 g. what is the volume of the balloon (l) if the density of hydrogen gas is 0.089 g/l?

Answers

The volume of balloon will be 1522.5 cubic liter.

We have a hydrogen stored inside a large weather balloon of given mass and density.

We have to calculate the volume of balloon.

How is density and mass of body related ?

The density and mass of body are related as follows -

M = ρV

where -

ρ - Density of Object.

M - Mass of Object.

V - Volume of Object.

According to the question →

Using the formula discussed above -

M = ρV

V = M/ρ

V = 135.5/0.089

V = 1522.5 cubic liter.

Hence, the volume of balloon will be 1522.5 cubic liter.

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Find the vector v with the given magnitude and the same direction as u. magnitude direction v = 4 u = 1, 1

Answers

The vector v with the given magnitude and the same direction as u. magnitude direction v = 4 u =< 1, 1>

=4/[tex]\sqrt2{^{2} }[/tex] i + 4/[tex]\sqrt2{^{2} }[/tex] j

What is vector?

Vector, in physics, a quantity that has both magnitude and the direction. It is a typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity’s magnitude. Although vector has magnitude and direction, it does not have the position. That is, as long as its length is not changed, vector is not altered if it is displaced parallel to itself.

In contrast to vectors, ordinary quantities that have a magnitude but not a direction are called the scalars. For example, displacement, velocity, and acceleration are vector quantities, while the speed (the magnitude of velocity), time, and mass are scalars.

To qualify as a vector, a quantity having magnitude and direction must also obey certain rules of the combination.

Therefore,

A vector a with given magnitude in the direction of b, is given by:

(||a||.b)/||b||

||u||=[tex]\sqrt{1^{2}+1^{2} }= \sqrt{2^{2} }[/tex]

||v||=4

[4(1+1)]/[tex]\sqrt{2^{2} }[/tex]= 4/[tex]\sqrt2{^{2} }[/tex] i + 4/[tex]\sqrt2{^{2} }[/tex] j

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Crystal lake, inc., has a total debt ratio of 0.36. what is its debt-equity ratio?

Answers

When the total debt ratio is 0.36, the debt-equity ratio is 0.5625.

What does debt-to-equity ratio mean?

The debt-to-equity ratio is a financial metric that shows how much debt and shareholder equity were utilized to finance the assets of a company. The ratio, often known as risk, gearing, or leverage, is closely related to leveraging. The debt-equity ratio serves as a gauge for how equally creditors and owners or shareholders contributed to the capital used by the company. The debt-equity ratio is the simple ratio of all long-term debt and equity capital in the company. The debt-to-equity ratio is calculated by dividing a company's total liabilities by the sum of its shareholders' equity. For the majority of businesses and industries, a desirable debt-to-equity ratio is around 2.0. A high debt-to-equity ratio shows that a business is using more market capital to finance its operations, whereas a low debt-to-equity ratio shows that the business is making better use of its assets and using less market capital. The debt-to-equity ratio is often higher in the capital industries.

Total Debt ratio = Debt/Asset

Hence, Debt=0.36*Total Assets

Assets = Debt*Equity

Hence Equity=(1-0.36)*Total Assets=0.64*Total Assets

So, Debt-Equity Ratio=Debt/Equity

=0.36Total assets/0.64Total assets

=0.5625

⇒Debt-Equity Ratio=0.5625

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If you subtract vector 3.7 cm at 45° North of East from vector 4.5 cm at 57° West of North using a scale drawing, what is the resultant vector?

Answers

The resultant vector is 5.2 cm at a direction of 12⁰ west of north.

Resultant of the two vectors

The resultant of the two vectors is calculated as follows;

R = a² + b² - 2ab cos(θ)

where;

θ is the angle between the two vectors =  45° + (90 - 57) = 78⁰a is the first vectorb is the second vector

R² = (3.7)² + (4.5)² - (2 x 3.7 x 4.5) cos(78)

R² = 27.02

R = 5.2 cm

Direction of the vector

θ = 90 - 78⁰

θ = 12⁰

Thus, the resultant vector is 5.2 cm at a direction of 12⁰ west of north.

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Ernest rutherford was an important early researcher in nuclear physics. In one experiment, he observed that particles with a positive charge deflected when passing through a thin sheet of gold foil. What conclusion did rutherford make in this observation?.

Answers

Gold foil experiment

Ernst Rutherford conducted the Gold Foil Experiment in which α particles (doubly charged Helium Atoms) were bombarded on a thin gold foil. This experiment led to the discovery of the nucleus.

1) Most of the particles passed through undeflected

⇒ this meant that most of an atom is empty space

2) Some Alpha particles were deflected by some small angles

⇒ Since alpha particles are positively charged species , they can only be deflected if there are some positively charged atoms present that would repulse these particles.

3) A few ( about 1/20000 particles) bounced back

⇒There is a heavy mass of positively charged species in the atom , and since the alpha particles bounced back , this mass of positively charged species must have been highly dense.

Therefore, from these observations and inferences Rutherford concluded that most of an atom is empty space and there is a mass of positively charged particles in the center of the atom called the nucleus which contains protons. The electrons revolve around this nucleus at high speeds.

The mass of the atom is concentrated in the nucleus and is very small in size , making it highly dense.

Two organ pipes, open at one end but closed at the other, are each 1.03 m long. one is now lengthened by 2.00 cm. find the frequency of the beat they produce when playing together in their fundamental

Answers

The frequency of the beat they produce when playing together in their fundamental is 82.29 Hz

From the question we are told that:

Initial pipe length L 1 = 1.03 m

Final pipe length L 2 = 1.03 + (2 x 10^-2) = 1.05 m

The frequency of a repeated event is its number of instances per unit of time. It is also sometimes referred to as ordinary frequency to contrast angular frequency with ordinary frequency and temporal frequency to stress the comparison to spatial frequency.

Generally the equation for Frequency f is mathematically given by

F = v/λ

λ = 4 L and V = speed of sound in air = 343 m/s

F = v/4*1/L1 - 1/L2 = 343/4*1/1.03 - 1/1.05

F = 82.29 Hz

Hence, Frequency of the beat produce is 82.29 Hz

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One of the fundamental general safety guidelines with respect to hot work is to keep the work area clear of combustibles for at least from the hot work area

Answers

One of the fundamental general safety guidelines is to keep the work area clear of combustibles for at least 35 feet from the hot work area.

Hot works or combustible works such as welding, heating or cutting should be done at a location which is far away form any combustible material.

Prior to start working in such a location make sure there are no hazardous or combustible material around such as fire, ignition source or electric spark.

All precautionary measures must be taken to confine heat, fire or spark so that they don not come into contact with nay combustible object.

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Can you articualte the different elemants of a software architecture and solutions at a basic level ?

Answers

In essence, yes. Despite the fact that the majority of people believe software architecture and design to be distinct.

What is software architecture?

A system's architecture outlines its main parts, their connections (structures), and how they work together. There are several contributing variables to software architecture and design, including business strategy, quality attributes, human dynamics, design, and IT environment.

Software Architecture and Software Design can be divided into two separate stages: Software Architecture and Software Design. The functional needs in architecture cast and separate nonfunctional considerations. Functional needs are fulfilled in design.

A system's architecture acts as a blueprint. It establishes a communication and coordination mechanism among components and offers an abstraction to control the complexity of the system.

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Water has a ph of 7. ph is defined as the negative log of the hydrogen ion concentration [h ]. explain why water is assigned a ph of 7.

Answers

Answer: Concentration of H+ =10^-7; log of 10^-7=7 so pH=7

Explanation:

Lamar walks 20 m to the west, and then 20 m to the east. it takes him 40 seconds to do this. what is his average velocity?

Answers

Lamar's average velocity is 1 m/s

We know that,

Average Velocity = Total distance travelled / Total time taken

Given that,

Distance travelled west = 20 m

Distance travelled East = 20 m

Total time taken = 40 s

Total distance travelled = 20 + 20 = 40 m

Average Velocity = 40 / 40 = 1 m/s

Average velocity is total rate of change of displacement.

Therefore, Lamar's average velocity is 1 m/s

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Chebyshev's theorem states that the proportion of values is at least 1-1/k2. what is the meaning of k?

Answers

k is the number of standard deviations greater than one that that proportion of observations will be discovered within.

What does Standard Deviation mean?

A standard deviation measures the spread of data in relation to the mean.

A low standard deviation suggests that the data is concentrated around the mean, whereas a high standard deviation shows that the data is spread.

A standard deviation near 0 suggests that data points are close to the mean, whereas a high or low standard deviation indicates that data points are above or below the mean, respectively.

The curve on top of Image 7 is more spread out and hence has a higher standard deviation, whereas the curve below is more grouped around the mean and thus has a smaller standard deviation.

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If you have to change the composition of a substance to measure that property, it is a
physical property.

O True

O False

Answers

Answer:

False

Explanation:

Physical properties can be measured without changing the composition of the substance. Physical properties of matter include color, hardness, malleability, solubility, electrical conductivity, density, melting point, and boiling point.

However, the chemical properties have to be measured by changing the composition of the substance.

Have a lovely rest of your day! :)

False.







Is correct answer

Venus is observed to orbit the sun every 0.62 years. what is the semi-major axis of venus's orbit in au?

Answers

Venus is observed to orbit the sun every 0.62 years so the semi-major axis of venus's orbit is 0.73 au.

What do you mean by orbit?

Celestial mechanics uses curved trajectory objects to describe orbits, such as a planet's orbit around a star, a natural satellite's orbit around a planet, or an artificial satellite's orbit around a planet, moon, asteroid, or Lagrange point. A circle, a whole circle's revolution, or a range of experiences are all examples of what is meant by an orbit. As an example, consider the earth's orbit around the sun. An illustration of how long an orbit or full circle around takes is the 365 days it takes the earth to travel around the sun. The planets are kept in their orbits by the gravity of the Sun. Since no other force in the Solar System can halt them, they remain in their orbits.

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An object is 10 cm away from a plane mirror. How far is the object from its image.​

Answers

Answer:

20cm

It is one of the characteristics of a plane mirror that, the distance of the plane mirror from the object is equal to its distance from the image. Therefore, given distance between object and mirror = 10cm. Distance between mirror and image = 10cm. Thus, the distance between object and image = 10 + 10 = 20cm.

Explanation: :0

A football is thrown on a long pass. compared to the ball's initial vertical velocity, the vertical component of its velocity at the highest point is __

Answers

A football is thrown on a long pass. compared to the ball's initial vertical velocity, the vertical component of its velocity at the highest point is less

What is velocity?

Velocity is defined as a vector measurement of the rate and the direction of motion, simply, velocity is the speed at which something moves in one direction. The speed of a car traveling north on a major freeway and the speed a rocket launching into the space can both be measured using velocity.

The SI units for the velocity are m/s (meters per second), but velocity may also be expressed in any units of distance per time, and the other units include miles per hour (mph), kilometers per hour (k/h), and kilometers per second (km/s).

At highest point the velocity of football is 0 as it is neither moving up or moving down for a moment so it is less than initial velocity. Magnitude of initial and final velocity is maximum in projectile motion.

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An object that is dropped from a height H falls with a constant acceleration of g. The final
speed, v, just before it reaches the ground can be expressed as v = sqrt(2gh). By how much does the height need to change double the final velocity?

Answers

The height has to change by a factor of 1.

What is the height?

We can obtain the height from which the object falls using the equations of kinematics under gravity. We can see that the object was dropped from a height thus u = 0 m/s.

We can the write;

v= √2gh

h1 = v^2/2g

When the final velocity is doubled, we have;

2v= √2gh

h2 =4v^2/2g

h2 = 2v^2/g

The height changes by;

2v^2/g - v^2/2g = v^2/g

Thus the height has to change by a factor of 1.

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A proton is suspended in the air by an electric field at the surface of a planet whose gravitational acceleration is g = 10.2 m/s2. what is the strength of this electric field?

Answers

The strength of this electric field is 10.64×10⁸ N/C.

Electric field strength is a quantitative expression of the intensity at a particular location of a electric field.

It is a vector quantity.

Electrostatic force on the  charge :

[tex]F_{e} = mg[/tex]          (equation1).

m = mass

g = gravity

electrostatic force of a charge on an electric field :

[tex]F_{e} = Eq[/tex]           (equation2).

E = magnitude of electric field

q = charge

using equation 1 and 2 we get

Eq = mg

m = 1.67×10⁻²⁷ kg

g = 10.2 m/s²

q = 1.6 ×10⁻¹⁹

E = mg/q

     =  1.67×10⁻²⁷ kg ×10.2 m/s² /  1.6 ×10⁻¹⁹ C

     E= 10.64×10⁸ N/C

The strength of this electric field is 10.64×10⁸ N/C.

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the energy flux associated with solar radiation incident on the outer surface of the earth's atmosphere has been accurately measured and is known to be 1368 w/m2 . the diameters of the sun and earth are 1.39 × 109 and 1.27 × 107 m, respectively, and the distance between the sun and the earth is 1.5 × 1011 m.

Answers

The emission power of sun is 3.868 * [tex]10^{26}[/tex] W

We know that,

Energy flux on earth = Emission power of sun / 4 π [tex]r^{2}[/tex]

where,

r = Distance between sun and earth

Given that,

Energy flux on earth = 1368 W / [tex]m^{2}[/tex]

Diameter of sun = 1.39 * [tex]10^{9}[/tex] m

Diameter of earth = 1.27 * [tex]10^{7}[/tex] m

r = 1.5 * [tex]10^{11}[/tex] m

Emission power of sun = 1368 * 4 * 3.14 * ( 1.5 * [tex]10^{11}[/tex] [tex])^{2}[/tex]

                                      = 1368 * 2.828 * [tex]10^{23}[/tex]

Emission power of sun = 3.868 * [tex]10^{26}[/tex] W

Energy flux is the rate of transfer of energy through a surface. The unit of total rate of energy transfer is W = J / s. The unit of specific rate of energy transfer is W / [tex]m^{2}[/tex] = J / [tex]m^{2}[/tex] s

Therefore, The emission power of sun is 3.868 * [tex]10^{26}[/tex] W

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If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery in 1.50 hours. What is the average velocity?

Answers

The average velocity is 1 km/hr.

What is average velocity?

Velocity is the speed of a body in a given direction.

Velocity can also defined as the displacement of body with time.

The average velocity will be be the ratio of the total displacement with time.

Average velocity = displacement/time

Taking the right direction as positive and the direction to the left as negative:

displacement of the body = (4.0 - 2.5) km

displacement of the body = 1.5 km

Average velocity = 1.5 km/ 1/5 hours

Average velocity = 1 km/hr

In conclusion, the average velocity is obtained from the displacement and time taken.

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In a 5.00 km race, a runner runs at a steady 3.0 m/s. what is their time for the race?

Answers

The runner that runs in a 5.00 km race at a steady 3.0 m/s takes 27.78 min to finish the race

The formula and procedure we will use to solve this problem is:

v = x/t

Where:

x = distancet = timev = velocity

Information about the problem:

x = 5.00 km v =3.0 m/st = ?

By converting the distance units from (km) to (m) we have:

5.00 km * (1000 m / 1 km) = 5000 m

Applying the velocity formula and isolating the time, we get:

v = x/t

t = x/v

t = 5000 m / 3.0 m/s

t = 1666.67 s

By converting the time units from (s) to (min) we have:

1666.67 s * (1 min / 60 s) = 27.78 min

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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A liquid mixture of water and alcohol has density off 900 kg per metre cubic find the mass of alcohol in one litre of the mixture. .

Answers

The mass of alcohol in one litre of the mixture is 371g

Calculation and Explanation

Let us assume the alcohol to be ethyl alcohol (C2H5OH) with the temperature being 20°C.

Given we have assumed this, the density of water and ethyl alcohol becomes,

ρa=789.45g/L

ρw=998.23gL

and then it is given that the density of the solution is ρs=900gL

We know that,

ρ= m/v

⇒ m=ρv

⇒m=ρs Vs = 900g

Then we see that the sum of the mass of ethyl alcohol and water is the same as 900g

But we are interested in finding the values keeping the volume as 1L

hence, Va +Vw =1

⇒ Vw = 1-Va

Then we know that

900g=Va(789.45g/L)+(1−Va)(998.23g/L)

so solving the equation for ethyl alcohol, we have.

Va = 0.4705 L

then to get the mass of ethyl alcohol,

ma= ρaVa

ma= (789.45g/L) (0.4705L)

ma= 371g

Thus, the mass of alcohol (ethyl alcohol) as calculated is 371g.

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The energy associated with swinging a bat is a type of kinetic energy.
a. true
b. false

Answers

Option a) True, the energy associated with swinging a bat is a type of kinetic energy.

What is kinetic energy?

In the terms of physics, the energy that a body or a particle possesses due to its motion is said to the kinetic motion.

It is also defined as the work that is required in order to accelerate a body from rest to the stated velocity.

If work is done on an object by applying a net force on the body of that object, the speed of the object changes and it thereby gains kinetic energy.

The body after gaining this energy tries to maintain it until and unless its speed changes.

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Why did Walter Mitty imagine himself facing a firing squad? Evaluate what he was sayingabout his life with such a statement. What conclusion from the study of mesopotamia can be used in irrigation practices today?. As an initial transaction in a new margin account, a customer buys 100 shares of abc at $35. the customer must deposit? Say a pill existed that made people selfless. after taking it they were only interested in others, not themselves. under the coordination definition of economics:______. A poll was taken in a town with a population of 15,000. The poll asked for an opinion of the city council's performance for the past year. The number ofpeople who thought that the council had done well was 9,500. What percent of the population voted favorably? (Round to the nearest tenth if necessary) Consider the percentages for the named modalities.do you see anything odd about them? Read each statement regarding food and beverages in the lab and determine if each is true or false. 2.10.2: Math functions Compute: z = y/|x| Let , which represents the set of points on and inside an in the xy-plane. find two specific examples two vectors, and a vector and a scalar to show that h is not a subspace of . What is the volume of a gold nugget that weighs 2.20 kg? the density of gold is 19 g/cm3. expressthe speed10mper second askm per hour What would be the average tax rate for a person who paid taxes of $4,864.14 on a taxable income of $39,870? There is a step missing from the equation below. Which equation is the missing step solve the similtaneous equations y=9-x y=2x^2+4x+6 A nurse is preparing to turn a client who is unable to mobilize independently. which action best ensures the safety of both the client and the nurse? Communism exhibits all the characteristics of a ______ system. a) laissez-faire b) command c) mixed market Identify the segment bisector of __XY A smoothie calls for 4/6 of a peach, 1/2 of a banana, and 2/6 of a kiwi. how much fruit will be in the smoothie? How does the resolution of lizabeths conflict in ""marigolds"" develop the theme?. Hart, Attorney at Law, experienced the following transactions in Year 1, the first year of operations: 1. Accepted $36,000 on April 1, Year 1, as a retainer for services to be performed evenly over the next 12 months. 2. Performed legal services for cash of $54,000. 3. Purchased $2,800 of office supplies on account. 4. Paid $2,400 of the amount due on accounts payable. 5. Paid a cash dividend to the stockholders of $5,000. 6. Paid cash for operating expenses of $31,000. 7. Determined that at the end of the accounting period $200 of office supplies remained on hand. 8. On December 31, Year 1, recognized the revenue that had been earned for services performed in accordance with Transaction 1.