A catapult launches a projectile with an initial velocity of 20.0 m/s at an angle of 40.0° above the horizontal.
What are the magnitudes of the horizontal and vertical components of the velocity at t = 1.10 s?

Answer: s(5) = -200,  v(5) = -90

              s(10) = -900, v(10) = -190

Explanation:

Position: s(t)

Velocity:  s'(t) = v(t)                ⇒      \(s(t)=\int {v(t)} \, dt\)

Acceleration     v'(t) = a(t)      ⇒      \(v(t)=\int {a(t)} \, dt\)

We are given that acceleration a(t) = -20   and velocity v(t) = 10

\(v(t)=\int {a(t)} \, dt\\\\v(t)=\int{-20}\, dt\\\\v(t)=-20t + C \\\\v(t)=10\quad \longrightarrow \quad C=10\\\\v(t)=-20t+10\)

\(s(t)=\int {v(t)} \, dt\\\\s(t)=\int {(-20t+10)} \, dt\\\\s(t)=-10t^2+10t\\\\\)

(a) Input t = 5 into the s(t) and v(t) equations

   s(5) = -10(5)² + 10(5)           v(5) = -20(5) + 10

          =  -250  +  50                     = -100   +  10

          =       -200                          =        -90

(b) Input t = 10 into the s(t) and v(t) equations

     s(10) = -10(10)² + 10(10)           v(10) = -20(10) + 10

            =  -1000  +  100                     = -200   +  10

            =       -900                          =        -190

Answer:

D

D

C

C

Explanation: BRAINLIEST ME

A hollow steel shaft is to transmit 4200 n.m of torque and is to be sized so that the torsional stress does not exceed 120 Mpa

If the inside diameter is 70 percent of the outside diameter, what size shaft should be used?

Answer:

the preferred outer diameter  of the hollow steel shaft obtained a little bit higher than 61.67 mm is 80 mm

the preferred inner diameter of the hollow steel obtained a little bit lower than 56 mm is 50 mm

Explanation:

From above;

let the inside diameter be \(d_i\)

let the outside diameter be \(d_o\)

Then

\(d_i\) = 70%  \(d_o\)

\(\dfrac{d_i}{d_o} = \dfrac{70}{100}\)    

\(\dfrac{d_i}{d_o} =0.7\)   ------ (1)

to determine the outer diameter of the hollow steel shaft by using the equation of the torque, we have:

\(T = \dfrac{\pi}{16} \times \tau \times d_o^3 ( 1 - (\dfrac{d_i}{d_o})^4)\)

where;

\(\tau\) = torsoinal shear stress = 120 MPa

\(4200= \dfrac{\pi}{16} \times 120\times 10^6 \times d_o^3 ( 1 - 0.7)^4)\)

\(4200= 0.19635 \times 120\times 10^6 \times d_o^3 (0.7599)\)

\(4200=17904763.8 \ d_o^3\)

\(d_o^3 = \dfrac{4200}{17904763.8}\)

\(d_o^3 = 2.3457 \times 10^{-4}\)

\(d_o =\sqrt[3]{2.3457 \times 10^{-4}}\)

\(d_o =0.06167 \ m\)

\(d_o =0.06167 \ m \times (\dfrac{1000 \ mm}{1 \ m})\)

\(d_o =61.67 \ mm\)

From the tables of A-17 of sized and Renard Numbers,

the preferred outer diameter  of the hollow steel shaft obtained a little bit higher than 61.67 mm is 80 mm

However, from equation (1)

\(\dfrac{d_i}{d_o} =0.7\)   ------ (1)

replacing the value of \(d_o\)

\(\dfrac{d_i}{80} =0.7\)

\(d_i = 80 \times 0.7\)

\(d_i = 56 \ mm\)

From the tables of A-17 of sized and Renard Numbers,

the preferred inner diameter of the hollow steel obtained a little bit lower than 56 mm is 50 mm

Answer:Take into account the the Earths gravity is 9.8 meters a second

Explanation:

Gravity pulls down on the ball at g=-9.81 m/s^2. Up is positive, down is negative.The ball started at a certain initial velocity of Vi m/s. Time it took is t=4s. Final velocity is Vf=0 m/s, because at the highest point the ball stops moving.

Vf=(g*t)+Vi

Rearrange for Vi.

Vi=Vf-(g*t)

Vi=0-(-9.81*4)=39.24 m/s (upward)

Think about it this way for the non-mathematical approach. The ball stops at the top. The initial velocity gets reduced by 9.81 m/s every second, and reaches 0 m/s at the top. It took 4 seconds, so 9.81*4 is equal to the initial upward velocity.

Explanation:

Acc=change in velocity/time

a=30-0 / 6

a =30/6

a = 5m/s^2

In an NP-transistor (NPN transistor), the base is typically made of p-type semiconductor material, while the emitter and collector are made of n-type semiconductor material.

To switch the transistor "ON" and allow current to flow through it, the base-emitter junction needs to be forward-biased. This means that the base terminal should have a higher positive potential than the emitter terminal.

By applying a small positive potential to the base (relative to the emitter) and a large NP-transistor to the collector, the base-emitter junction is forward-biased, allowing current to flow through the transistor and switching it "ON".The correct answer is (A) Applying large negative potential to the collector and small positive potential to the base.

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Answer:

10m/s

Explanation:

a = v- u/ t

=> v = at + u

= -2 × 5 + 20

= 10m/ s. ( 72 km/ h = 20 m/ s)

Answer:

1)The reactants are unlit charcoal, and the products are charcoal that has already burned and released its energy.

2)sugar + oxygen → carbon dioxide + water + energy

3)iron + oxygen → rusted iron + energy

4)an endothermic reaction, because ice absorbs heat to become liquid water

5)The temperature of the reactants is greater than the temperature of the products.

Explanation:

100%

One statement that is not true is that UV radiation is a type of electromagnetic radiation. It is also a type of ionizing radiation. UV radiation is actually a form of non-ionizing radiation.

UV radiation, or ultraviolet radiation, is a type of electromagnetic radiation that falls between visible light and X-rays on the electromagnetic spectrum. It is often categorized into three types: UVA, UVB, and UVC. Unlike ionizing radiation, such as X-rays and gamma rays, which have enough energy to remove tightly bound electrons from atoms or molecules, UV radiation lacks the necessary energy to ionize atoms or molecules. Instead, it primarily interacts with the outermost electrons of atoms or molecules, leading to chemical reactions and causing biological effects.

UV radiation is commonly associated with sunlight and has various effects on living organisms and materials. It can cause sunburn, premature aging of the skin, and an increased risk of skin cancer. Exposure to excessive UV radiation can also damage the eyes and impair the immune system. It is important to protect oneself from excessive UV exposure by wearing sunscreen, protective clothing, and sunglasses.

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The electric field has an angle of 0 degrees and a magnitude of 2546.35 N/C.

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field. Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. E = F/Q is the formula for the electric field. Volts per meter is the SI unit for the electric field. The Newton's per coulomb unit is the same as this one. Newton is a unit of force and Coulomb is a unit of energy in these derived units.

Here,

E=kq/r^2

r= 5 x r^2 = 7.07 cm or .0707 m

E=(9 x 10^9)(1 x 10^-9)/(.0707)^2

= 1800.5 N/C

Now to find the x component,

cos 45 = x/1800.5

x= 1273.18 N/C

Now just multiply by 2 to accommodate both charges,

E=2546.35 N/C in direction of 0 degrees

The electric field has a magnitude of 2546.35 N/C and an angle of 0 degrees.

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it takes the man 160 seconds or 2 minutes and 40 seconds to row back upriver to reclaim his hat.

The speed of the river's current is 1 m/s, and the canoe's speed relative to the water is 4 m/s downstream. Thus, the man paddles a canoe in a long, straight section of the river. The speed of the man relative to the bank is 4 - 1 = 3 m/s upstream.

The distance that the hat floats downstream during the eight-minute interval is equal to the product of the speed and time:

distance = speed x time= 1 m/s x (8 x 60 s) = 480 m.

The man must paddle back upstream to recover the hat. Since the distance to the hat is 480 meters, he will have to paddle 480 meters upstream. Let's use the formula for velocity and distance;

time = distance / velocity

In this instance, since he is paddling upstream, his velocity is the difference between the speed of the canoe relative to the water and the velocity of the river's current. Thus, his velocity is 4 - 1 = 3 m/s.

Using the formula, we obtain:

time = 480 m / 3 m/s

time = 160 s

Therefore, it takes the man 160 seconds or 2 minutes and 40 seconds to row back upriver to reclaim his hat.

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Groin is a short artificial projection of durable material placed at a right angle to the shore in an attempt to slow longshore transport of sand from a beach.

Males who experience groyne pain or swelling should take note because these symptoms could be warning signs for a variety of illnesses, including a hernia or swollen lymph nodes in the male groyne area. Knowing what these disorders are and being able to spot problems when they occur are crucial because they can range from kidney stones to malignancies. This is not just concerning for any male who is feeling unusual pain or swelling, but depending on the severity of the symptoms, it might also be a sufficient excuse to see your doctor. A feeling of discomfort, weight, or pressure in the groyne area is what is known as groyne pain. Groin discomfort can have a variety of causes, including tendonitis, malignancy, and hernias.

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Answer:

electrical energy to mechanical energy.

Explanation:

It could be observed that the number of electrons escaping the film is increased.

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Answer:

Magnitude and direction describe velocity

However if there is only magnitude its mean it is speed.

Fun : probably you have seen speed movie. It could not have director because if speed is directed then it will be velocity lol..

A new asteroid, similar to the size of the asteroid that hit the Earth at the end of the Cretaceous period, which handily obliterated the then-dominant species (dinosaurs being one of them), will now hit the populated, modern, civilized Earth.

In the previous impact, all life wasn’t wiped out. Many species were adversely affected, but many survived, and indeed, thrived due to the absence of the then-dominant species being removed.

Certainly in our modern world, and how much we depend on global agriculture, there would be a massive die-off of many people (not necessarily just by the direct hit of the comet impact, but by the after effects as well).

It would cause a massive crater, and eject global-cooling debris into the atmosphere, and sterilize the impact site. Agriculture would be brought to its knees, and major famines would occur.

A report made 4 years ago indicated that life re-established itself in the impact zone (of the Cretaceous impacting asteroid) after 30,000 years (which the article considered exceeding rapid). 30,000 years of anything would not recover fast enough in the modern day. If you think about it, ALL of modern human history happened within the last 10,000 years (and you could argue that is was much less than that).

I do think that some life would survive (using the impact from the asteroid at the K-T boundary as an analog), but these conditions are different:

Since the impact site is unknown, densely populated centers are at risk - however if it hit in exactly the same place, the population of Mexico and Central America and the Southern Tier of the US could be eliminated (approx 300,000,000 people) just from the blast effects and impact debris.

Population of the earth went from zero humans (in the prior impact) to over seven billion living today.

Simple systems are flexible and resilient and would most likely survive. Complex systems would collapse and would be the hardest to rebuild. Food production will continue in certain regions. Food distribution will be severely affected. Disease and pestilence would re-emerge, and public health would suffer, adding to the death toll.

Military adventurism would increase (the “have-nots” vs “haves”). Social order may get shoved back to our tribal roots.

Would it be a total loss? How much life would survive?Difficult to predict - it could go either way.

Think about this: How long would it take to recover? I don't think we could or would recover. Just as in the earlier strike, there would be no going back.

If an asteroid hits earth undoubtedly it impacts badly on earth because it might be able to wipe the living on the affected region. Similarly problems like temperature and light drop, atmospheric pollutants, suffocations etc. will be happened.

Any spatial objects made of rocks, gaseous and dust particles which are moving through the space are called asteroids. If such an asteroid hits earth, it might causes serious impacts including tsunami, earth quakes etc.

Dust and smoke rising in the atmosphere as a result of an asteroid impact hinder sunlight from reaching our planet, resulting in a decrease in global temperature.

Many living beings could die as a result of this incident. A small city might be destroyed if an asteroid the size of an apartment strikes Earth. A 20-story building-sized asteroid might wipe out a small nation if it were to strike Earth.

In addition to learning more about the solar system, asteroids are studied by scientists primarily to determine their overall number as well as their paths and physical characteristics. Naturally, we would wish to avoid an asteroid that is headed in our direction.

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Answer:

15 kg ball

Explanation:

Answer:

1.01 × 1013 picometres

Explanation:

multiply the length value by 1e+9

Shaft the simplest device used to transmit a torque from one plane to a parallel plane.

What is Shaft?

A spinning machined component known as a shaft is utilized in machines to transfer power from the machine's source to its many components. The shaft's cross-section is typically round. One of the most crucial components of every machine is it. Because the machine won't be able to convey power without shafts. Power is transferred via the shafts from one rotating element to another supported by or connected to it. As a result, they experience torque from power transfer and bending moment from the responses of the members they support. Axles, which likewise support rotating elements but do not transfer power, are to be distinguished from shafts.

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Answer:

papi sus

Explanation:

The velocity at a certain location from a flat plate can be calculated using the boundary layer theory and the Blasius solution for laminar flow or the turbulent boundary layer equations for turbulent flow.

To determine the velocity at a specific point from a flat plate, you will need to consider the flow type (laminar or turbulent), fluid properties, and the distance from the plate.

For laminar flow, use the Blasius solution, which states that the velocity profile u(y) is a function of y (distance from the plate) and the Reynolds number Re_x (based on the distance x along the plate).

For turbulent flow, use the turbulent boundary layer equations, considering factors like the velocity gradient, shear stress, and fluid viscosity. Analyze the given conditions to choose the appropriate formula and calculate the velocity at the desired location from the flat plate.

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Regardless, it's safe to say that it will take more than (a) 12 hours or (b) 3 days, but less than 6 months for a full moon to become a new moon.

If you see a full moon at midnight, it will take about two weeks until there is a new moon. This is because the lunar cycle is approximately 29.5 days long, and the full moon occurs around halfway through this cycle. Therefore, it takes about 14-15 days for the moon to reach the opposite phase, which is a new moon. It's important to note that the exact timing may vary slightly depending on the specific phase of the moon and the timing of its orbit.

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The advantages of using fiber optic cabling for a network are Immunity to electromagnetic interference and Greater cable distances without a repeater.

The advantages of using fiber optic cabling for a network, as opposed to other types of cabling are:

Immunity to electromagnetic interference: Fiber optic cabling is immune to electromagnetic interference (EMI) because it transmits light instead of electrical signals. This makes fiber optic cabling ideal for use in environments with high levels of EMI, such as near power lines or in industrial settings.

Greater cable distances without a repeater: Fiber optic cabling can transmit data over greater distances without the need for signal boosters or repeaters. This is because the light signals used in fiber optic cabling do not degrade as quickly as electrical signals do over distance. This means that fiber optic cabling can be used to connect devices that are far apart without a loss in signal quality.

Fiber optic cabling is a type of networking cable that is used to transmit data over long distances at high speeds. It consists of a thin strand of glass or plastic fiber that is surrounded by protective insulation and sheathing. The fiber is designed to transmit light signals, which carry the data that is being transmitted.

One of the primary advantages of fiber optic cabling over other types of cabling, such as copper cabling, is its immunity to electromagnetic interference (EMI). EMI is a type of interference that can cause data transmission errors, distortions, or even complete loss of data. It is caused by electromagnetic waves that are produced by various electrical devices, such as motors, generators, and power lines. Since fiber optic cabling transmits data using light signals instead of electrical signals, it is immune to EMI. This makes it an ideal choice for use in environments with high levels of EMI, such as near power lines, in industrial settings, or in areas with high radio frequency interference.

Another advantage of fiber optic cabling is its ability to transmit data over greater distances without the need for signal boosters or repeaters. Copper cabling, on the other hand, is subject to signal degradation over distance, which means that signal quality decreases as distance increases. This means that copper cabling is limited in terms of the distance it can transmit data without the need for signal boosters or repeaters. Fiber optic cabling, on the other hand, can transmit data over much greater distances without the need for signal boosters or repeaters, because the light signals used in fiber optic cabling do not degrade as quickly as electrical signals do over distance. This makes fiber optic cabling ideal for use in large buildings, campuses, or even across entire cities.

In conclusion, fiber optic cabling has several advantages over other types of cabling, such as immunity to electromagnetic interference (EMI) and the ability to transmit data over long distances without the need for signal boosters or repeaters. These advantages make fiber optic cabling an ideal choice for use in a wide range of applications, including telecommunications, data centers, and industrial settings.

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The spring constants of the string and nylon thread are: higher compared to the spring, as they demonstrate greater resistance to stretching under the same applied force.

When a moderate force is applied, both string and nylon thread stretch but only a small amount, whereas a spring stretches much further. To compare their spring constants, we need to understand Hooke's Law, which states that the force applied is proportional to the displacement of the object (F = kx). Here, k is the spring constant and x is the displacement.

A higher spring constant (k) means that the object is more resistant to stretching, while a lower spring constant indicates that the object is more easily stretched. In this case, the string and nylon thread have higher spring constants compared to the spring since they stretch less under the same force. The spring, which stretches much further, has a lower spring constant.

In conclusion, the spring constants of the string and nylon thread are higher compared to the spring, as they demonstrate greater resistance to stretching under the same applied force. This is evident in the smaller displacements observed when pulling the string and thread compared to the more significant stretching of the spring.

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1. Five major external forces that affect organizations are economic, social, cultural, demographic, and technological. Economic factors such as inflation and interest rates can impact a company's profitability and purchasing power. Social factors like changing consumer preferences and lifestyles can influence demand for products and services.

Cultural factors like values and beliefs can shape consumer behavior and market trends. Demographic factors such as population size and age distribution can affect target markets.

Technological factors like advancements in automation or digitalization can disrupt industries and create new opportunities. These external forces shape the business environment and organizations must monitor and adapt to them to stay competitive.

2. Gathering competitive intelligence is crucial for businesses because it provides valuable insights about their competitors' strategies, strengths, weaknesses, and market position.

By understanding the competitive landscape, businesses can identify opportunities and threats, make informed decisions, and develop effective strategies.

Competitive intelligence helps businesses stay ahead of their competitors, anticipate market trends, identify emerging technologies, and improve their own products or services. It allows businesses to benchmark their performance, evaluate their competitive advantage, and identify areas for improvement.

Ultimately, gathering competitive intelligence empowers businesses to make proactive and strategic decisions that can lead to sustainable growth and competitive advantage.

3. In business, various economic variables need to be monitored as they have significant impacts on strategy applications. Some important economic variables include GDP (Gross Domestic Product), inflation rate, exchange rates, interest rates, consumer spending, unemployment rate, and industry-specific factors like raw material prices or energy costs.

Monitoring these variables helps businesses understand the overall economic conditions, identify market opportunities, and assess potential risks. For example, a high inflation rate may impact pricing strategies, while a favorable exchange rate can benefit export-oriented businesses.

By monitoring economic variables, businesses can adapt their strategies accordingly and make informed decisions to navigate the dynamic business environment.

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Answer:

i cant see it just put the question

Explanation:

Answer:

0.00000004 gigaseconds

Explanation:

Answer:

Displacement (km)

Explanation:

The y axis is the vertical axis pointing up and down. This is labeled as the the displacement (km) in the graph.

Answer:

She needs 254 cms

Explanation:

1 meter = 100 cms

10 meters x 100 = 1,000 cm

1,000cm - 746cm = 254 cms

Answer:

Ionic bonding

Explanation:

Since Ca is a metal and O is a nonmetal, they will experience ionic bonding. This means that Ca will "donate" two of its valence electrons to O. This will give both Ca and O a complete octet.

Answer:

CaO

Explanation:

Depending on the element "a" stands for, there is not enough info to conclude how these elements would bond. however, if they are typed out correctly then one possible bond would be CaO. I am assuming that the C and O represent Carbon and Oxygen.