Calculate the height of a cliff if it takes 2. 35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8. 00 m/s.

By unit conversion, the area of rectangular field park is 619.59 m².

We need to know about unit conversion to solve this problem. The unit conversion can be used to convert a unit to another unit. It can be defined as

a = xb

where a is unit a, b is unit b and x is the constant of conversion.

From the question above, we know that

w = 58.5 ft

l = 114 ft

Convert the width and length to meter (1 ft = 0.3048 m)

w = 58.5 ft

w = 58.5 x 0.3048 m

w = 17.83 m

l = 114 ft

l = 114 x 0.3048 m

l = 34.75 m

Find the area

A = w x l

A = 17.83 x 34.75

A = 619.59 m²

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The amine contains an odd number of N atom because the mass spectrum of an amine shows a parent peak with an odd mass for the molecular ion.

The m/z ratios of the ions contained in a sample displayed against their intensities form a mass spectrum. The mass spectra of amines are dominated by alpha-cleavage, which results in an alkyl radical on a resonance stabilized nitrogen containing cation.

Each peak in a mass spectrum shows a component of unique m/z in the sample, and heights of the peaks denote the relative abundance of the various components in the sample. Multiple alpha-cleavages are possible for secondary and tertiary amines.

Therefore, the  amine contains an odd number of N atom because the mass spectrum of an amine shows a parent peak with an odd mass for the molecular ion.

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Agatha requires (c) 10 hours of sleep each night.

Children in middle school ideally require average 9-12 hours of sleep each night. If the number of hours of sleep each night is compromised, it will show effect on the concentration and health of the child.

Because sleep is crucial to your physical health, it is crucial that you receive enough of it every night. For instance, your heart and blood arteries are able to recover and repair themselves as you sleep. An increased risk of heart disease, renal disease, high blood pressure, diabetes, and stroke has been related to chronic sleep deprivation. For the brain and body to operate properly the following day, doctors and specialists advise children to receive at least 9 to 12 hours of sleep each night.

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The initial velocity of the car just before the brakes were applied is 17.80 m/s

From the question given above, the following data were obtained:

The initial velocity of the car can be obtained as illustrated below:

v² = u² + 2as

0² = u² + (2 × -7.2 × 22)

0 = u² + (-316.8)

0 = u² - 316.8

Collect like terms

u² = 0 + 316.8

u² = 316.8

Take the square root of both side

u = √316.8

u = 17.80 m/s

Thus, we can conclude that the initial velocity of the car before the brakes were applied is 17.80 m/s

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The acceleration experienced is  -4 m/s.

Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity. The direction of an object's acceleration is given by the direction of the net force acting on that object. Acceleration is the name we give to the process of changing velocity. Velocity is both speed and direction, so there are only two ways to accelerate.

Velocity is the rate of change of displacement. Acceleration is the rate of change of velocity. Velocity is a vector quantity because it consists of both magnitude and direction. Since acceleration is the rate of change of velocity, it is also a vector quantity.

initial velocity =   22.0 M/S

final velocity = 14 m/s

time to change the velocity = 2 second

v = u + at

at = u - v

a= - [tex]\frac{u - v}{t}[/tex]

a = - [tex]\frac{22 -14}{2}[/tex]

a = -8/2

a = -4 m/s

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If it moves at given speed, the car travels, d = 540 km in 3 hours.

s = d / t

where,

s is speed

d is distance

t is time

So given data are :

s = 180km/h

t = 3 hour

d = ?

Now putting values,

speed = distance / time

180km/h = d / 3 h

d = 180 km/h x 3 h

d = 540 km

A scalar quantity, speed is defined as the size of the change in an object's position over time or the size of the change in an object's position per unit of time. Speed is calculated as Distance x Time. Time is calculated as Time = Distance / Speed. Distance is calculated as Distance = Speed x Time.

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Answer: GoodMorning: ) ✨

kilogram (kg)

The SI unit of mass is the kilogram (kg).

Explanation:

Hope this helps: )

Considering the definition of weight, the mass of the horse is 295 kg.

Mass is the amount of matter that a body contains and weight is the action exerted by the force of gravity on the body.

The mass of an object will always be the same. Instead, the weight of the object will vary according to the force of gravity acting on it.

Weight is calculated as the product of the object's mass and the value of the gravitational acceleration:

W= m×g

In this case, you know:

Replacing in the definition of weight:

2891 N= m× 9.8 m/s²

Solving:

m=2891 N÷ 9.8 m/s²

m= 295 kg

Finally, the mass of the horse is 295 kg.

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The volume of 0.154 liters expressed in gallons is: 0,0406 gallons

To solve this problem the we have to do the conversion of units with the given information.

Information about the problem:

By converting the volume units from  (liters) to miles per hour (gallons) we have:

v = 0.154 liters * 1 gallon/3.785 liters

v = 0,0406 gallons

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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The time taken by her to reach a speed of 2.28m/s is 1.37 s whereas, the acceleration on break to stop in 0.86s is 4.47 m/s².

( a ) To find the time we use the formula,

a = Δv / Δt

where,

a is acceleration,

Δv is change in speed

Δt is time

So with this putting the given value,

We have,

1.66m/s² =  2.28m/s / Δt

Δt = 2.28m/s / 1.66m/s²

Δt = 1.37 s

( b ) Again using same formula for acceleration

a = Δv / Δt

So,

a =  2.28m/s / 1.37 - 0.86s

a =   2.28m/s / 0.51 s

a = 4.47 m/s²

The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is also a vector quantity.

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(a)The time has taken by a commuter to reach a speed of 2.28m/s is (t)= 1.37 s. (b) If she then brakes to a stop in 0.86s,Theamount of acceleration is (a)=   2.65 m/s².

The term velocity defines that how much distance a particle covered in a given time. The term acceleration defines that change in velocity in a particular time.

( a ) To calculate the time we use the formula, v=u+at

As the particle start from rest so, u= initial velocity would be zero.

The equation becomes, v=at

t=v/a

where, we are given

a= acceleration  of the car =1.66m/s²,

v= speed of the car= 2.28m/s

We have to calculate the time=t

So now we put the given value in the above equation, We have,

t=v/a

Or, t = 2.28m/s / 1.66m/s²

Or, t = 1.37 s

According to the calculation we can say that, The time has taken by a commuter to reach a speed of 2.28m/s is (t)= 1.37 s

( b ) To calculate the acceleration we use the formula, v=u+at

As the particle start from rest so, u= initial velocity would be zero.

The equation becomes, v=at

a=v/t

where, we are given

v= speed of the car= 2.28m/s

t= The time take to break=0.86 s

We have to calculate the acceleration=a

So now we put the given value in the above equation, We have,

a=v/t

Or, a =  2.28 /0.86

Or, a = 2.65 m/s²

According to the calculation we can say that, If she then brakes to a stop in 0.86s,Theamount of acceleration is (a)=  2.65 m/s²

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By using power, the maximum current is (c) 5 mA.

We need to know about power to solve this problem. Power is the energy dissipated because of resistance. The magnitude of power is proportional to current and voltage. It can be determined as

P = I . V

where P is power, I is current and V is voltage.

By using Ohm's Law, power also can be calculated using resistance.

P = I² . R

where R is resistance.

From the question above, we know that

P = 2 W

R = 80 kΩ = 80,000 Ω

By substituting the following parameters, we get

P = I² . R

2 = I² . 80,000

I² = 2 / 80,000

I² = 25 x 10¯⁶ A

I = 5 x 10¯³ A

I = 5 mA

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The approximately time that takes to stop the stunt driver once she hit the cushion is: 0.4 s

To solve this exercise, the formulas and procedures to be applied are:

Where:

Information about the problem:

Applying the force formula and isolating the acceleration, we get:

F = m * a

a = F/m

a = -2500 N /50kg

a = -2500 kg * m/s² / 50 kg

a = -50 m/s²

Applying the time formula we get:

t = (vf – vi) / a

t = (0 m/s – 20 m/s) / 50 m/s²

t = (– 20 m/s) / -50 m/s²

t = 0.4 s

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

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The height of a cliff is 8.26 m

We changed this for our required

[tex]y_{0}[/tex] = - [tex]V_{0}[/tex]t - 1/2 ^2                (1)

Now, t = 2.35s

a = -9.8 m/[tex]S^{2}[/tex]

Substitute this value in equation (1)

[tex]y_{0}[/tex] = - [tex]V_{0}[/tex]t - 1/2 ^2  

[tex]y_{0}[/tex] = -(8.00m/s) (2.355) - 1/2 (-9.8m/s) [tex]2.35^{2}[/tex]

[tex]y_{0}[/tex] = 8.26 m

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It takes 15.17s time to reach its top speed.

Vo = 0m[tex]s^{-1}[/tex]

Its top speed v = 76.5 km/h

= 21.25 m/s

acceleration of the train = 1.4 m/[tex]s^{2}[/tex]

Then

V = Vo +at

21.25 = 0+ 1.4t

t = 21.25/ 1.4 = 15.17 s

The rate at which an object’s velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations.

The direction of the net force applied on the item determines the object’s acceleration.

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The sprinter's changing speed, as well as the speed of any other moving object or person, is displayed on a velocity-time graph. The slope of the graph line on a velocity-time graph is used to represent acceleration.

Velocity's rate of change with time, both in terms of speed and direction. A point or object going straight ahead is accelerated when it accelerates or decelerates. m/s2 is the unit of acceleration. The term "constant acceleration" refers to the pace at which a particle's velocity changes.

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Neither are Strong acid.

In the solution, solid acids entirely separate into ions. For instance, hydrochloric acid is a solid acid.

It totally ionizes, forming hydrogen and chloride ions. Nitric acid and sulfuric acid are also components of strong acids.

A solid or strong acid is one that has completely dissociated into ions. It is a weak acid if it does not dissociate completely.

Chloric acid, hydrobromic acid, hydrochloric acid, hydroiodic acid, nitric acid, perchloric acid, and sulfuric acid are the seven major acids that make up strong acids. These are referred to as strong acids since they can totally dissociate in water.

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Answer:

A rotating magnetic field is produced and the rotor begins rotating and the induction motor starts.

Explanation:

[tex]\huge\qquad\underline{{\tt Answer : }} -[/tex]

As the name suggests, the induction motor is started by connecting it directly to three-phase supply. In this method, the motor draws a high starting current (about 4 to 7 times of the rated current) and at low power factor. Therefore, DOL starting is suitable for relatively small motors (up to 10 kW)

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At least twice a day, the storage of vaccines must be checked.

The recommended range for refrigerator temperatures is 2°C to 8°C (36°F to 46°F). All vaccine storage containers must be visually checked at least twice a day to ensure that the temperature is being maintained or verified as appropriate. In order to safeguard people and communities from illnesses that can be prevented by vaccination, proper vaccine storage and handling procedures are crucial. From the time a vaccine is made until it is given out, everyone is accountable for its quality.

Thus, twice a day, the vaccine storage devices must be monitored. 

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Moving from the element with atomic number 10 to atomic number 11 on the periodic table, the following which are true include the following:

A. reactivity increases

C. neon has another shell (energy level, orbit), meaning the atom will be larger.

E. valence electrons in sodium are farther from the nucleus

F. atomic number 11 does not have a full electron shell.

This is referred to as the tabular arrangement of elements into rows which is referred to as period or column which is referred to as group.

The reactivity increases in this scenario and atomic number 11 does not have a full electron shell because there is one valence electron which means it doesn't have stable octet configuration.

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Both the ships will see the other ship with the same velocity i.e, 0.999c m/s.

To calculate the velocity of one ship as seen by the other ship, we need to use the velocity transformation formula derived from Lorentz transformation:

V = {v1 - v2/1-(v1)(v2)} x c

Here v1 and v2 are the velocities of the two ships

As the ships are heading towards each other v1 = -v2 = 0.999c

Putting this value in the above equation

V = 0.999c + 0.999c/1 - (0.999c)(0.999c) x c = 0.999c m/s

Hence, both the ships will see the other ship with the same velocity i.e, 0.999c m/s.

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It is feasible for a human to be heterozygous for the following gametic combinations if three genes on three distinct chromosomes are involved:

If chromosome 1 is present, the person can create 2 different types of gametes. Regarding chromosome number 2, there are also two types. The resulting equation is:

There are 2n different types of gametes, where n is the total number of chromosomes. So,

2^3 = 8.4X10^6 different gametes.

The thread-like components known as chromosomes are found in the nucleus of both animal and plant cells.

Protein and a single molecule of deoxyribonucleic acid make up each chromosome (DNA). DNA is passed down from parents to children and contains the precise instructions that give each kind of living thing its individuality.

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The zone in the map that has the greatest amount of land area suitable for people to live is zone B.

The equator is the imaginary line that divides the earth horizontally into two equal halves of North and South zones.

The countries that are located close to the equator include the following:

Ecuador, Colombia,

From the map, the zone with the greatest amount of land area suitable for people to live is the zone closest to the equator which is zone B.

The temperature of these areas are close to moderate through out the year.

The zone B also contains land mass that is part of the largest continent which is Asia.

Therefore, the zone in the map that has the greatest amount of land area suitable for people to live is zone B.

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It will take them 16000000 years to drift 480 Km apart

In this context, rate is defined as distance per unit time Mathematically, it can be expressed as:

Rate = distance / time

From the question given, the following data were obatined:

The time taken to drift can be obtained as follow:

Rate = distance / time

3 = 48000000 / time

Cross multiply

3 × time = 48000000

Divide both side by 3

Time = 48000000 / 3

Time = 16000000 years

Thus, it will take 16000000 years to drift 480 Km apart

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The power used in the problem above if to took one minute to lift the load is W / 60 Watts

W = F * d

P = W / t

W = Work done

F = Force

d = Distance

t = Time

P = Power

t = 1 min

t = 60 seconds

P = W / 60 ( or ) F * d / t

Power is the work done rate with respect to time. Its unit is Watts. 1 watt = 1 Joule / Second. It is denoted by P.

Therefore, the power used is W / 60 Watts

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The charge on the particle must be 2.68 x 10^5 C.

Electric force and Force of gravity

The given mass of the particle, m = 1.45 g = 0.00145 kg

Acceleration due to gravity = 9.8m/s²

Electric field strength, E = 530 N/C

The electric force on the particle is therefore given by;

F = qE, where,

q =charge,

F= force = mg

E is the electric field

For a particle to be stationary this force must be equal to force due to gravity, that is mg force

Hence, qE = mg

q = mg/E.

q = (0.00145 ×9.8)/530

The charge on the particle is, therefore; 2.68 x 10^5 C.

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The equation represents how the kinetic energy (KE) of a system relates to its gravitational potential energy (GPE) and total mechanical energy (ME) is: KE = ME - GPE; option D

The law of conservation of energy states that in a system, the total energy is conserved. This means that energy is nether created nor destroyed but can be transformed from one form to another.

The total mechanical energy in a system is composed of two parts:

gravitational potential energy, and kinetic energy

Mathematically;

Thus the equation represents how the kinetic energy (KE) of a system relates to its gravitational potential energy (GPE) and total mechanical energy (ME) is KE = ME - GPE

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A caiman swims 190 meters at a speed of 10 m/s and it then enters a stream and slows to 2 m/s for 270 meters and then the average speed of this cousin of the crocodile is 2.98 m/s.

The overall distance the object covers in a given amount of time is its average speed.

A scalar value represents the average speed thus it means that it has no direction and is thus by the magnitude.

The distance travelled is divided by the time taken and it is the formula for calculating average speed.

The alternative formula is to add into the initial and final speeds altogether and divide by two if you have the values.

The entire distance travelled is then divided by the total time interval to determine the average speed.

d1 = 190m

d2 = 270m

v1 = 10m/s

v2 = 2m/s

average speed = total distance/total time

t1 = 190/10 = 19s

t2 = 270/2 = 135s

so average speed = (190+270)/ (19+135)

= 460/154

=2.98 m/s

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Amine hydrochloride salt of ethyl amino benzoate will be ionic in nature

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The correct question is:

What is the dominant intermolecular force that determines the solubility of the amine hydrochloride salt of ethyl 4-aminobenzoate in water?

a)ion-ion

b)ion-dipole

c)London dispersion

d)hydrogen bonding

 The overall reaction order for the reaction that has the rate law: rate = k[o2] [no ]2 is 3.

The rate law (also known as the rate equation) for a chemical reaction is an expression that provides a relationship between the rate of the reaction and the concentrations of the reactants participating in it.

Now,

The Rate equation is

Rate=  K[A]^m [B]^n

K = Rate constant.

m = order with Respect To A

n =  order with Respect To B.

m +n =  over all order of Reaction

R = K[NO2]^2 [O2]^1

Overall order = 2+1 =3 .

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1. The speed of the source is 34m/s, using Doppler effect.

2. The location of the source at that time ([tex]t_{1}[/tex]) is 3.466s.

3. The time ([tex]t_{2}[/tex]) for sound to travel 58.92 m is 0.173s.

4. Tthe distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex]) is 65m.

A wave's frequency changes in response to an observer moving in respect to the wave source, which is known as the Doppler effect or Doppler shift. It has the name of Christian Doppler, an Austrian physicist who first reported the phenomena in 1842.

Mathematically it is written as;

[tex]f' = \frac{(v+v_{0}) }{(v -v_{s}) } f[/tex]

1. Using doppler effect,

u = 340(440/440-1) m/s

u = 34m/s

Therefore, the speed of the source is 34m/s.

2. y = [tex]u^{2}[/tex]/2g

y = [tex]34^{2}[/tex]/2×9.8

y = 58.92m

So, [tex]t_{1}[/tex] = u/g       (Using u obtained above from Doppler effect)

[tex]t_{1}[/tex] = 34/9.8

[tex]t_{1}[/tex] = 3.466s

Therefore, the location of the source at that time ([tex]t_{1}[/tex]) is 3.466s.

3. [tex]t_{2}[/tex] = 58.92 / 340

[tex]t_{2}[/tex] = 0.173s.

Therefore, the time ([tex]t_{2}[/tex]) for sound to travel 58.92 m is 0.173s.

4. d = [tex]\frac{1}{2}gt^{2}[/tex]

d = [tex]\frac{(9.81)(3.639^{2}) }{2}[/tex]

d = 65m.

Therefore,  the distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex]) is 65m.

The complete question is: A physics student drops a vibrating 440-hz tuning fork down the elevator shaft of a tall building. when the student hears a frequency of 400 hz, how far has the tuning fork fallen?

1.Find the speed of the source from Equ. 15-332.

2.Find the location of the source at that time ([tex]t_{1}[/tex])

3. Find the time ([tex]t_{2}[/tex]) for sound to travel 58.92 m.

4.Find the distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex])

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