Show all work and answer all 4 parts. Projectile motion. 20 points. Thank you.

Answer:

Distance 50m

final velocity 20ms^-1

\(s = ut + \frac{1}{2} a {t}^{2} \\ = 0 \times t + \frac{1}{2} \times 4 \times {5}^{2} = 50m\)

\(v = u + at \\ v = 0 + 4 \times 5 \\ v = 20ms^{ - 1} \)

Answer:

El chorro golpea el edificio a una altura de 15.943 metros con respecto al suelo.

Explanation:

El chorro de agua exhibe un movimiento parabólico, dado que este tiene una inclinación inicial y la única aceleración es debida a la gravitación terrestre. Las ecuaciones cinemáticas que modelan el fenómeno son:

Distancia horizontal (en metros)

\(x = x_{o} + v_{o}\cdot t \cdot \cos \theta\)

Donde:

\(x_{o}\) - Posición horizontal inicial, medida en metros.

\(t\) - Tiempo, medido en segundos.

\(v_{o}\) - Velocidad inicial, medida en metros por segundo.

\(\theta\) - Angulo de inclinación del chorro de agua, medido en grados sexagesimales.

Distancia vertical (en metros)

\(y = y_{o} + v_{o}\cdot t \cdot \sin \theta + \frac{1}{2}\cdot g \cdot t^{2}\)

Donde:

\(y_{o}\) - Posición vertical inicial, medida en metros.

\(g\) - Constante gravitacional, medida en metros por segundo al cuadrado.

Partiendo de la primera ecuación, se despeja el tiempo:

\(t = \frac{x - x_{o}}{v_{o}\cdot \cos \theta}\)

Si \(x = 31\,m\), \(x_{o} = 0\,m\), \(v_{o} = 40\,\frac{m}{s}\) and \(\theta = 33^{\circ}\), entonces:

\(t = \frac{31\,m-0\,m}{\left(40\,\frac{m}{s} \right)\cdot \cos 33^{\circ}}\)

\(t = 0.924\,s\)

La altura máxima se calcula por sustitución directa de términos en la segunda ecuación. Si \(y_{o} = 0\,m\), \(v_{o} = 40\,\frac{m}{s}\), \(t = 0.924\,s\) y \(g = -9.807\,\frac{m}{s^{2}}\), entonces:

\(y = 0\,m + \left(40\,\frac{m}{s} \right)\cdot (0.924\,s)\cdot \sin 33^{\circ} + \frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right) \cdot (0.924\,s)^{2}\)

\(y = 15.943\,m\)

El chorro golpea el edificio a una altura de 15.943 metros con respecto al suelo.

Answer:  

Exothermic Reaction  

Explanation:  

ENDOTHERMIC REACTION: A chemical reaction is considered endothermic if the energy is absorbed during the reaction. In other words, if the energy is required by the reactants to proceed with the reaction, then the reaction is endothermic.

The value of enthalpy change ΔH is positive in such reactions showing intake of energy.

EXOTHERMIC REACTION: A chemical reaction is considered exothermic if the energy is released during the reaction. In other words, if the energy is produced as a product of the reaction, then the reaction is exothermic.

The value of enthalpy change ΔH is negative in such reactions showing the release of energy.

Since, the value of ΔH = -125 KJ, is negative for the given reaction.

Therefore, it would be considered as Exothermic Reaction.

The irrigation frequency is approximately 88.89 and the irrigation period is 3000 hours.

I. To determine the localized ETc (crop evapotranspiration) at peak demand for matured grape plantation, we can use the following formula:

ETc = ETo × Kc × Kr × Groundcover

Given:

ETo (reference evapotranspiration) at peak demand = 6.5 mm/d

Kc (crop coefficient) = 1.2

Kr (reduction coefficient) = 0.94

Groundcover = 80% (0.8)

Calculating:

ETc = 6.5 × 1.2 × 0.94 ×0.8

ETc = 5.11744 mm/d

Therefore, the localized ETc at peak demand for the matured grape plantation is approximately 5.12 mm/d.

II. To calculate the peak net and gross water requirements for mango plantation on sandy soil, we use the formula:

Net Requirement = ETc / Ks

Gross Requirement = Net Requirement / EU

ETc (localized ETc) = 5.12 mm/d

Ks (soil water stress coefficient) = 0.91

EU (water use efficiency) = 85% (0.85)

Calculating Net Requirement:

Net Requirement = 5.12 / 0.91

Net Requirement = 5.62 mm/d

Calculating Gross Requirement:

Gross Requirement = 5.62 / 0.85

Gross Requirement = 6.62 mm/d

Therefore, the peak net water requirement for mango plantation on sandy soil is approximately 5.62 mm/d, and the peak gross water requirement is approximately 6.62 mm/d.

b. To determine the number of emitters per plant, we can use the following formula:

Number of emitters = Wetted area per plant / Wetted area per emitter

Tree spacing = 6 m x 6 m

Percent wetted area (Pw) = 50%

Wetted area for sandy soil = 2 m²

Calculating Wetted area per plant:

Wetted area per plant = Tree spacing ×Tree spacing ×Pw

Wetted area per plant = 18 m²

Calculating Number of emitters per plant:

Number of emitters per plant = Wetted area per plant / Wetted area per emitter

Number of emitters per plant = 18 / 2

Number of emitters per plant = 9 emitters

Therefore, the number of emitters per plant is 9.

c. To determine the irrigation frequency and irrigation period, we need to consider the effective rooting depth, soil available moisture content, manageable allowable depletion, and drip emitter discharge.

Effective rooting depth = 1000 mm

Soil available moisture content = 15 cm/m

Manageable allowable depletion = 25% (0.25)

Drip emitter discharge = 0.005 m³/h

Calculating Irrigation Frequency:

Irrigation Frequency = Effective Rooting Depth / (Soil Available Moisture Content × (1 - Manageable Allowable Depletion))

Irrigation Frequency = 1000 / (15 × (1 - 0.25))

Irrigation Frequency = 1000 / (15 × 0.75)

Irrigation Frequency = 1000 / 11.25

Irrigation Frequency ≈ 88.89

Calculating Irrigation Period:

Irrigation Period = Wetted Depth / Drip Emitter Discharge

Irrigation Period = 15 / 0.005

Irrigation Period = 3000 hours

Therefore, the irrigation frequency is approximately 88.89 and the irrigation period is 3000 hours.\

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Answer:

Dispersion

Explanation:

dispersion

[diˈspərZHən, diˈspərSHən]

NOUN

the action or process of distributing things or people over a wide area.

"some seeds rely on birds for dispersion"

the state of being dispersed over a wide area.

"the general dispersion of Hellenistic culture"

ecology

the pattern of distribution of individuals within a habitat.

(Dispersion)

another term for diaspora.

a mixture of one substance dispersed in another medium.

physics

the separation of white light into colors, or the separation of any radiation according to wavelength.

statistics

the extent to which values of a variable differ from a fixed value such as the mean.

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Answer:

Acid rain results when sulfur dioxide (SO2) and nitrogen oxides (NOX) are emitted into the atmosphere and transported by wind and air currents. The SO2 and NOX react with water, oxygen, and other chemicals to form sulfuric and nitric acids. These then mix with water and other materials before falling to the ground.

Explanation:

The question is incomplete as it does not have the options which are:

deciduous forest

taiga (boreal forest)

temperate rainforest

tropical rainforest

Answer:

Taiga (boreal forest)

Explanation:

A Biome refers to the habitat which is occupied by flora and fauna living in similar conditions.  These biomes are distinguished based on many features like precipitation, temperature and many other physical factors.

In the given question, the biome which receives an annual rainfall of 35 to 100 cm annually and is mostly covered by the coniferous trees is known as "Taiga biome" which is also known as Boreal forest.

The Taiga biome is one of the largest terrestrial biomes which is present in Eurasia and North America. The biome is characterised by the conifers trees and therefore is also known as the Coniferous trees.

Thus, Taiga (boreal forest) is the correct answer.

Answer: Taiga(boreal forest)

Explanation:

A decrease in one's ability to hear high-pitched, high frequency sounds is known as high-frequency hearing loss.

The term hearing has to do with the ability to pick out sounds. It is the ability to comprehend the meaning of sounds which may be disconnected or coherent.

Hearing occurs both at low and high frequency. The loss of hearing depends on what area of the ear that has been affected. Thus, if the inner ear of a person has been affected, there is a decrease in one's ability to hear high-pitched, high frequency sounds which is known as high-frequency hearing loss.

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Answer:

Writing Electron Configurations. When writing an electron configuration, first write the energy level (the period), then the subshell to be filled and the superscript, which is the number of electrons in that subshell. The total number of electrons is the atomic number, Z

Answer:

it's answer is B

A planet is round because of gravity. A planet's gravity pulls equally from all sides. Gravity pulls from the centre to the edges like the spokes of a bicycle wheel. This makes the overall shape of a planet a sphere, which is a three -dimensional circle

Hope it helps you

Answer:

The not alligator side.

Obviously the middle, both sides will be shallow, so the middle will most likely  be the deepest part.

Explanation:

Answer:

To find the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius, we need to know the size of the temperature interval between the ice point and the steam point, as well as the size of the temperature interval between the ice point and 75 degrees Celsius.

The size of the temperature interval between the ice point and the steam point can be calculated using the formula:

T = (S - I)/R

Where T is the size of the temperature interval, S is the length of the thermometric liquid above the steam point, I is the length of the thermometric liquid above the ice point, and R is the size of the temperature interval per unit length of the thermometric liquid.

Since the ice and steam points of the thermometer are 192mm apart, we know that S - I = 192mm. We also need to know the value of R in order to calculate T.

Once we know the size of the temperature interval between the ice point and the steam point, we can use this value to calculate the size of the temperature interval between the ice point and 75 degrees Celsius.

Let's assume that the size of the temperature interval per unit length of the thermometric liquid, R, is 0.5 degrees Celsius per millimeter. With this value of R, the size of the temperature interval between the ice point and the steam point can be calculated as follows:

T = (192mm - 0mm)/0.5 degrees Celsius/mm = 384 degrees Celsius

Now that we know the size of the temperature interval between the ice point and the steam point, we can use this value to calculate the size of the temperature interval between the ice point and 75 degrees Celsius.

The size of the temperature interval between the ice point and 75 degrees Celsius is 75 degrees Celsius - 0 degrees Celsius = 75 degrees Celsius.

We can now use the size of the temperature interval between the ice point and 75 degrees Celsius, along with the size of the temperature interval per unit length of the thermometric liquid, R, to calculate the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius:

I = (75 degrees Celsius)/(0.5 degrees Celsius/mm) = 150mm

Thus, the length of the thermometric liquid above the ice point that corresponds to a temperature of 75 degrees Celsius is 150mm.

Answer: electrostatic force

Explanation:

electrostatic forces pull or push on objects without touching them, which is how when you rub some materials together they can result in something called a 'charge', being moved from point A to point B.

The process of acquiring information, monitoring, and detecting the characteristics of any phenomenon or an object is called Remote Sensing. This is done by measuring the radiation emitted or reflected by the said object or phenomenon from some distance. Remote Sensing is typically done via a satellite or an airplane to collect data on Earth and other planets in space.

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Unguarded live parts operating at 30,000 volts located above a working space must be elevated at least 9.5' above the working space.

The voltage is the potential difference between the end of the conductor.
The place where electricity supply wires and power stations are present, the lives must protected. They must live far above the working space.

Thus, it must be 9.5' above the working space.

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Exergonic reactions are chemical reactions that release energy. They provide living systems with the necessary energy for various processes. Two examples of exergonic reactions that provide energy for living systems are cellular respiration and ATP hydrolysis.

1. Cellular respiration: This is a series of exergonic reactions that occur in the cells of organisms to convert glucose and oxygen into carbon dioxide, water, and energy in the form of ATP (adenosine triphosphate). This energy is then used for cellular activities, such as movement, growth, and reproduction.

2. ATP hydrolysis: ATP is an energy-rich molecule that powers various cellular processes. When ATP is hydrolyzed, it breaks down into ADP (adenosine diphosphate) and inorganic phosphate, releasing energy in the process. This energy is utilized by cells to perform work, such as muscle contraction and active transport.

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Answer:

The geosphere consists of the solid Earth and the atmosphere consists of the gaseous components in the air. Thus, the answer is C.

Explanation:

Answer:

C

Explanation:

Answer:

2

Explanation:

To find force it's force = mass times acceleration so to find mass you would divide force by acceleration

Explanation:

VT= 10 v

IT = V/R = 10/5= 2 A

RT= 5 ohm

PT = 20w

\( {i}^{2} \times r = {2}^{2} \times 5 = 20watts\)

Answer:

v = 0.363 m/s

Explanation:

Given that,

The table is 0.55m tall and the tennis ball lands 0.12m away from the table.

Here, u = 0 (at rest) for initial vertical velocity as it rolls off the edge of a table.

Let t is the time to fall from the vertical height. So,

\(h=ut+\dfrac{1}{2}at^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\times 0.55}{9.8}} \\\\t=0.33\ s\)

It can be assumed to find the initial horizontal velocity of the tennis ball. It can be given by :

\(v_x=\dfrac{x}{t}\\\\v_x=\dfrac{0.12}{0.33}\\\\v_x=0.363\ m/s\)

Hence, the initial horizontal velocity is 0.363 m/s.

Answer:

2 4

Explanation:

because

The theory that explains how our eyes collect light instead of emitting invisible intelligence-gathering probes was proposed by Alhazen, also known as Ibn al-Haytham, an Arab scientist during the Islamic Golden Age.

The theory in question was put forward by Alhazen, an influential Arab scientist who lived during the 10th and 11th centuries. Alhazen, also known as Ibn al-Haytham, made significant contributions to the understanding of optics and vision.

One of Alhazen's major works, "Kitab al-Manazir" (The Book of Optics), presented his theories on vision and light. In this book, he argued against the prevailing belief that the eyes emitted invisible rays to perceive objects. Instead, Alhazen proposed that vision occurs when light reflects off objects and enters the eyes, where it is then collected by the visual system.

Alhazen's work challenged the previous theories of vision put forth by ancient Greek philosophers, such as Euclid and Ptolemy. His emphasis on empirical observations and experimental methods marked a significant shift in scientific thinking.

Alhazen's theory of vision, which highlighted the passive nature of the eyes in collecting light rather than emitting rays, laid the foundation for our modern understanding of how light interacts with the visual system and how we perceive the world around us.

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Answer:

4s

Explanation:

Using the formula of motion as follows:

V = u + at

Where;

V = final velocity (m/s)

U = initial velocity (m/s)

a = acceleration (m/s)

t = time (s)

Based on the provided information, v = 160m/s, u = 100m/s, a = 15m/s², t = ?

V = u + at

160 = 100 + 15t

160 - 100 = 15t

60 = 15t

t = 60/15

t = 4seconds.

Therefore, the time it takes for the plane to complete this increase in speed is 4s.

The speed of the skydiver is 14 m/s after falling 10 m.

Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.

In another words:

change in kinetic energy = - change in potential energy

final kinetic energy - initial kinetic energy = initial potential energy - final potential energy

⇒ mv²/2 - 0 = mgΔh

⇒ v = √(2gΔh)

= √( 2 × 9.8 × 10) m/s

= 14 m/s.

Hence, her speed is 14 m/s after falling 10 m.

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Answer:

The quantity which have both magnitude and direction is called vector quantity

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

Example:- Force, velocity acceleration displacement etc.

Answer:

suppose frequency of sound = 100Hz

then wavelength = speed/ frequency

= 340/100= 3.4 m

Answer:

Atomic clocks are the most accurate time and frequency standards known, and are used as primary standards for international time distribution services, to control the wave frequency of television broadcasts, and in global navigation satellite systems such as GPS.

The rotating dot illusion is a visual phenomenon where staring at a pink dot rotating in a circle can cause various perceptions, such as the dots appearing to vibrate, transforming into one green dot, a series of blue dots, a yellow dot, or even disappearing.

The rotating dot illusion is a result of the brain's interpretation of visual information and the persistence of vision. When we stare at the center of the rotating dot illusion, our visual system tries to make sense of the continuous motion and fill in the missing information. This can lead to various perceptual effects.

The perception of the dots vibrating can occur due to the contrast between the rotating pink dot and the stationary background. The rapid motion of the rotating dot and the fixated stare can create an illusion of movement in the surrounding dots, giving the impression of vibration.

The transformation of the dots into different colors, such as a green dot, a series of blue dots, or a yellow dot, is likely a result of afterimages and color adaptation. Staring at the rotating dot for an extended period can lead to temporary retinal fatigue and cause color receptors to become less responsive. When shifting attention to a blank area or a neutral background, the brain may perceive contrasting colors or an absence of color, resulting in the appearance of different colored dots or even the disappearance of the dots altogether.

Overall, the rotating dot illusion demonstrates how our visual system can be influenced by motion, color adaptation, and the brain's interpretation of incomplete visual information, leading to fascinating perceptual experiences.

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