how fast is the surface area of a horse increasing at a time when the horse weighs 350 kg and is gaining weight at the rate of 200 kg per year

Answers

Answer 1

Given:
The weight of the horse = 350 kg Rate of weight gain = 200 kg/year

Let us consider the height, length and the girth of the horse be h, l, and g respectively and let the surface area be S.

So, S = 2lw + 2lh + 2wh ; where w, l, and h are the width, length, and height respectively.

Now, differentiate S with respect to time (t).

\(dS/dt = 2w(dl/dt) + 2h(dh/dt) + 2l(dw/dt)\)

On solving we get,\(dS/dt = 2gl(dh/dt) + 2hg(dw/dt) + 2lw(dg/dt)\)

On substituting the given values, we get,

\(dS/dt = 2g × 200 (l) + 2h × 0 + 2l × 0dS/dt = 400gldS/dt = 400 × (2.4) [g = 2.4 m (assumed)]dS/dt = 960 m²/year\)

Therefore, the surface area of the horse is increasing at the rate of 960 m²/year when the horse weighs 350 kg and is gaining weight at the rate of 200 kg per year.

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Related Questions

If a neutral material like fur is rubbed on another neutral object like a rubber ball what is the resulting charges of the objects?

A) The balloon becomes negatively charged and the fur becomes positively charged.

B) They both remain neutral.

C) They both become negatively charged.

D) The balloon becomes negatively charged and the fur stays neutral.

E) They both become positively charged.​​

Answers

B is the right answer I hope I helped

If a neutral material like fur is rubbed on another neutral object like a rubber ball then the balloon becomes negatively charged and the fur becomes positively charged. The correct option is A.

What is static electricity?

When two or more bodies come into touch and then break apart, static electricity results. The transport of electrons from one atom to another is caused by this interaction between surfaces.

When the positive and negative charges are out of balance, static electricity is produced.

While electrons like to hop all over the place, protons and neutrons don't move around very much. A negative charge is present when an object (or person) possesses more electrons.

The animal fur lacks electrons while the rubber balloon has an abundance of them.

The rubber balloon has an overabundance of negative charge due to its extra electrons. The absence of electrons on animal fur also gives it a positive charge.

Thus, the correct option is A.

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a psychologist studies if internet uses causes isolation
A) experimental
B) correlational
C) Descriptive​

Answers

A) experimental because he isn’t sure and is testing out

Plants are able to release water back into the atmosphere by a process called _____.

Answers

Answer:

Also, water also makes its way into the atmosphere via a process called transpiration in which plants release water into the air from their leaves that was pulled up from the soil through roots. Collectively, the water evaporated from the land and from plants is called evapotranspiration.

Explanation:

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3. What is the magnitude of the impedance in Ω of a 0.50 μF capacitor at a frequency of 10.0 kHz

Answers

The magnitude of the impedance in Ω of a 0.50 μF capacitor at a frequency of 10.0 kHz can be calculated using the formula Z = 1/(2πfC), where Z is the impedance, f is the frequency in Hz, and C is the capacitance in Farads.

Plugging in the given values, we get:

Z = 1/(2π x 10,000 x 0.50 x 10^-6)
Z = 31.83 Ω (rounded to two decimal places)

Therefore, the magnitude of the impedance of a 0.50 μF capacitor at a frequency of 10.0 kHz is approximately 31.83 Ω. Magnitude is a word used to indicate something's magnitude or scope. It may be used to describe a variety of characteristics, including the actual size of an item, the quantity or intensity of a certain attribute or phenomena, or the significance or influence of a specific event or concept. Magnitude may be measured using a variety of scientific tools or procedures depending on the situation and is frequently stated quantitatively, for example, in terms of length, mass, volume, or strength. A sense of size, significance, or importance is often implied by the phrase magnitude, which is frequently used in disciplines including physics, astronomy, geology, and mathematics.

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The tools to distinguish the thickness of two objects of thickness of 1.92mm and the other with thickness of 1.93mm is ?

Answers

Answer:

the instrument that gives this precision is the micrometer screw

Explanation:

The high precision measurements of small parts are the general vernier and the micrometer screw.

In these two instruments the same principle is used: there is a fixed rule and a mobile one that increases precision.

Let's analyze the absolute error or precision of each instrument

* For the vernier, the precision of the fixed rule is 1 mm and there are 20 divisions (the most common); therefore the precision of the instrument is

            Δx = 1 mm / 20

            Δx = 0.05 mm

* For the micrometer screw, the precision of the fida rule is 0.5 mm and the number of divisions is 50, therefore the precision of the screw is

            Δx = 0.5mm / 50

            Δx = 0.01 mm

consequently the instrument that gives this precision is the micrometer screw

A stone was dropped off a cliff and hit the ground with a speed of 88 ft/s. What is the height (in feet) of the cliff

Answers

The height of the cliff is approximately 60.5 feet.

When an object is dropped from a height and falls freely under the force of gravity, its speed increases until it reaches the ground.

The relationship between the height, speed, and acceleration due to gravity can be described using the equation:

\(v^2 = u^2 + 2gh\)

where v is the final velocity (88 ft/s), u is the initial velocity (0 ft/s), g is the acceleration due to gravity (32 ft/s^2), and h is the height of the cliff.

By rearranging the equation, we can solve for h:

\(h = (v^2 - u^2) / (2g)\)

Plugging in the given values, we get:

\(h = (88^2 - 0^2) / (2 * 32) \\ = 60.5 feet\)

Therefore, the height of the cliff is approximately 60.5 feet.

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Using a fixed 20 V from the power source and three lightbulbs that have the same resistance, how would you design a circuit that would allow at least one bulb to use maximum power (have maximum brightness)?

Answers

Answer:

check photo

Explanation:

Using a fixed 20 V from the power source and three lightbulbs that have the same resistance, how would

We should connect the three bulbs in parallel in order to allow at least one bulb to use maximum power.

We have a 20 V power source and three lightbulbs that have the same resistance.

We have to design a circuit that would allow at least one bulb to use maximum power.

What is the total resistance of the circuit if three resistances each of of resistance R(1), R(2) and R(3) are connected in parallel ?

For parallel combination of resistances, the total resistance will be -

\(\frac{1}{R_{T} } =\frac{1}{R(1)} +\frac{1}{R(2)} +\frac{1}{R(3)} \\\)

We know that the power dissipated by the resistance is equal to -

P = V x I = \(I^{2} R\) = \(\frac{V^{2} }{R}\)

Let the three bulbs be B(1), B(2) and B(3) each with resistance ' R '. In parallel combination of the bulbs, the voltage across each bulb will be same as that of power source -

V [B(1)] = V [B(2)] = V [B(3)] = 20 V

Therefore, the power used by each bulb will be -

P [B(1)] = P [B(2)] = P [B(3)]  = \(\frac{20\times 20}{R}=\frac{400}{R}\)

Whereas, in series combination the voltage drop will regularly take place after the current passes through a resistor.

Hence, we should connect the three bulbs in parallel in order to allow at least one bulb to use maximum power.

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If you stand 3.0 m in front of a plane mirror, how far away from you would your image appear to be?

Answers

Answer Explanation:

If you stand 3.0 m in front of a plane mirror, your image would appear to be 3.0 m behind the plane mirror. This is because the image formed by a plane mirror is always located behind the mirror, at a distance equal to the distance between the mirror and the object being reflected.

So, the distance from you to the mirror is 3.0 m, and the distance from the mirror to your image is also 3.0 m, for a total distance of 6.0 m between you and your image.

A permanent magnet cannot be used in electrical bell .Why?​

Answers

Answer:

we can not use permanent magnets in radio and electric bells , because permanent magnets loose their property after some time whereas we can change the properties of electromagnet.

what he said, yup!! ^^^

Which description best explains an ionic bonding?
a
shares electrons

b
occurs between non-metals

c
molecular bonding

d
donates electrons

Answers

Ionic bond is formed when one atom accept electron and the other atom loses electron.

What is ionic bonding?

Donates electrons is the description that best explains an ionic bonding because in ionic bonding, one atom loses electron and the other atom accept that electron in order to gain stability.

So we can conclude that donates electron is the correct answer.

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Which of the following is a limited resource

Which of the following is a limited resource

Answers

The option that can be considered a limited resources is A: fertile soil.

Limited resources can be regarded as can be regarded as finite quantities of productive resources that can be considered to be available for economy.

This resources can be considered to be part of fundamental problem of scarcity that humanity has experienced, Fertile soil can be regarded as limited resources among the option.

Therefore, option A is correct.

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Answer:

fertile soil

Explanation:

trust

in a lab, resonance tubes are used to determine experimentally the speed of sound. using the data given, evaluate the best approximation for the speed of sound

Answers

The approximate speed of sound is about 761 mph or 335.28 meters/second.

What's the approximate speed of sound?

If we consider the normal atmosphere at sea level, the speed of sound is about 761 mph or 335.28 meters/second. The speed of sound is different in different mediums such as solid and liquid.

So we can conclude that the approximate speed of sound is about 761 mph or 335.28 meters/second.

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if b is added to a, under what conditions does the resultant vector have a magnitude equal to a b? a and b are perpendicular. a and b are in the opposite direction. a and b are in the same direction. under what conditions is the resultant vector equal to zero? a and b are equal in magnitude and perpendicular. a and b are equal in magnitude and opposite in direction. a and b are equal in magnitude and in the same direction.

Answers

With c being a positive constant, B is thus equal to c*A. Furthermore, when either A or B (or both) is the zero vector.

The square root of the scalar product of a vector by itself represents the vector's magnitude.

|A| |=|A| |A| |B| |=|B| |B| |A+B| |=|A|2+|B|2+2|A||B|cos(angle) In the event that |A+B| = |A| + |B|, then |A+B| = |A| + |B|.

That is the same as the squares must be equal requirement.

|+|2=(||+||)2=||2+||2+2||||

So:\s||2+||2+2||||()=||2+||2+2||||\s||||

()=||||\s||||

[()−1]=0

This occurs if and only if [cos(angle) - 1] must be equal to zero or |A|, |B|, or both.

If |A| and |B| are not zero, then cos(angle) = 1, which means that angle is equal to 0.

With c being a positive constant, B is thus equal to c*A. Furthermore, when either A or B (or both) is the zero vector.

The following query is simpler:

A+B must be the zero vector if |A+B| = 0.

When A+B = 0, the additive inverse of B (also known as "-B," which has to exist in every Vector Space)

A+B-B = 0 -B

A= -B

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A car moves 6 miles North and turns around and travels 10 miles South.
How far did the car travel? *

Answers

The car traveled 16 miles 10 + 6 = 16

marek is trying to push a box of sports equipment across the floor. the arrow on the box is a vector representing the force that marek exerts. what are the forces acting upon the box?

Answers

These could include frictional forces from the floor, air resistance, and gravitational forces pulling the box downwards. Depending on the specifics of the situation, there may be other forces at play as well, but these are the most common forces that would need to be considered.

When Marek is pushing a box of sports equipment across the floor, there are several forces acting upon the box. These forces include:

1. Applied force (vector): This is the force exerted by Marek to push the box, represented by the arrow on the box.
2. Frictional force: This acts opposite to the direction of the applied force and opposes the motion of the box on the floor.
3. Gravitational force: This force acts vertically downwards and is the weight of the box due to Earth's gravity.
4. Normal force: This force acts perpendicular to the floor, counterbalancing the gravitational force to keep the box from sinking into the floor.

These four forces interact and determine the overall motion of the box.

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Using the Skygazer's Almanac for 2022 at 40 degrees.
What day will Venus and Saturn be in opposite parts of the sky
this year?

Answers

According to the Skygazer's Almanac for 2022 at 40 degrees, Venus and Saturn will be in opposite parts of the sky on December 17, 2022.

The Skygazer's Almanac provides astronomical information for a specific location and year. In this case, at a latitude of 40 degrees, the almanac indicates that Venus and Saturn will be in opposite parts of the sky on December 17, 2022. This means that Venus and Saturn will appear at opposite sides of the celestial sphere as observed from Earth. However, it's important to note that the almanac's predictions are approximate and can be influenced by various factors, including atmospheric conditions and the observer's specific location. To obtain the most accurate and up-to-date information, it is recommended to consult more recent astronomical sources or use specialized software that can provide precise positions and dates for celestial events.

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Name the force used in removing iron scrap from a heap of mixed scrap. (a) Magnetic Force (b) Electrostatic force (c) Gravitational force (d) Friction Force​

Answers

Answer:

magnetic force

Explanation:

because iron is magnetic so magnet is able to attract iton

What is the use of intrinsic attributes?

Answers

Intrinsic attributes refer to the inherent characteristics or qualities of an object, concept, or entity. These attributes are essential in defining and understanding the nature of something.

The use of intrinsic attributes can vary depending on the context, but here are a few common applications:

1. Classification and categorization: Intrinsic attributes help in categorizing and classifying objects or entities based on their inherent properties. For example, in a product catalog, intrinsic attributes such as size, color, and material are used to classify items into different categories.

2. Descriptive analysis: Intrinsic attributes analyze and describe objects by detailing their characteristics and features. Product reviews use attributes like performance, durability, and design for comprehensive evaluations.

3. Search and retrieval: Intrinsic attributes aid information retrieval by enabling efficient search and filtering. Attributes like author, title, and genre in a book database facilitate specific book searches.

4. Decision making: Intrinsic attributes are often used as factors in decision-making processes. By considering the intrinsic attributes of various options, individuals or systems can make informed choices. For example, when purchasing a car, attributes such as fuel efficiency, safety features, and price are considered to make a decision.

5. Personalization and customization: Intrinsic attributes personalize experiences by tailoring offerings to individual preferences. E-commerce websites utilize attributes like purchase history and preferences for personalized recommendations. Customization based on intrinsic attributes enhances user satisfaction and engagement.

Overall, the use of intrinsic attributes helps in understanding, organizing, and making informed decisions about objects, concepts, or entities by considering their inherent qualities and characteristics.

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what was the shoemaker-levy 9 impact quizlet

Answers

Shoemaker-Levy 9 was a comet that collided with Jupiter in 1994. It was unique because it was the first observed collision of two solar system bodies and provided valuable insights into the nature of comets and the physics of collisions in space.

The comet had broken into several pieces and impacted Jupiter over a period of six days, creating massive fireballs and leaving dark scars on the planet's atmosphere that persisted for months.

The event was closely studied by astronomers around the world, and the data collected provided important information about the composition and structure of Jupiter's atmosphere, as well as the nature of comets and the role they may have played in the formation of the solar system.

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A lamp hangs vertically from a cord in a descending elevator that decelerates at 2.9 m/s2. (a) If the tension in the cord is 52 N, what is the lamp's mass

Answers

The lamp descends with the elevator so its acceleration is also 2.9 m/s². Take downward to be the positive direction. Then the net force on the lamp is

∑ F = w - t = ma

where w = mg = weight of lamp, t = tension in the cord, m = mass of lamp, and a = acceleration. Then

mg - t = ma

mg - ma = t

m (g - a) = t

m = t / (g - a)

so that the lamp's mass is

m = (52 N) / (9.8 m/s² - 2.9 m/s²) ≈ 7.5 kg

a charged particle a exerts a force of 2.62 n to the right on charged particle b when the particles are 13.7 mm apart. particle b moves straight away from a to make the distance between them 17.7 mm. what vector force does particle b then exert on a?

Answers

The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.

What does a vector mean?

A measurement with both magnitude and direction. It is often represented by an arrows whose length is proportional to the size of a quantity and whose orientation is the same as that of the quantity. An vector does not even have position, while having direction and magnitude.

Briefing:

Lets look at the ratio of the forces of the same charges but at different distances

\($\frac{F_1}{F_2}=\frac{k_e \frac{q_{A q_B}}{r_1^2}}{k_e \frac{q_A q_B^2}{r_2^2}}$\)

\($\frac{F_1}{F_2}=\frac{r_2^2}{r_1^2}$\)

Pugging in our given values we get the force F2 as:

\($F_2=\frac{r_1^2}{r_2^2} F_1$\)

=(13.7mm)2/(17.7mm)2(2.62N)

=1.57 N

The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.

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Answering the following questions will help you to focus on the outcomes of these experiments:

How does the length to height ratio (the IMA) of trial 1 compare to trial 2?
Why is the actual mechanical advantage less than the ideal mechanical advantage in each of the trials?
If a machine was 100% efficient, how would the AMA compare to the IMA?
Write a summary paragraph discussing this experiment and the results. Use the following questions and topics to help guide the content of your paragraph.

According to your data, was your hypothesis correct? (Be sure to refer to your data when answering this question.)
Summarize the conclusions that you can draw from this experiment. Use the questions above to guide your ideas.
Summarize any difficulties or problems you had in performing the experiment that might have affected the results. Describe how you might change the procedure to avoid these problems.
Give at least three examples from everyday life where an inclined plane is used to reduce the effort force needed to accomplish a task.

Answers

Answer:

Answering the following questions will help you to focus on the outcomes of these experiments:

1.How does the length to height ratio (the IMA) of trial 1 compare to trial 2?

= Trial 1 is 5.09, and Trial 2 is 3.25. Trial 1 is higher because the height of the trial is less than trial 2.

2.Why is the actual mechanical advantage less than the ideal mechanical advantage in each of the trials?

= It is because the machine's ideal mechanical advantage reflects the increase or decrease in force that would have occurred without friction. It is always greater than the actual mechanical advantage because all machines have to overcome friction.

3.If a machine was 100% efficient, how would the AMA compare to the IMA?

= In any real machine, some of the efforts are used to overcome friction. Thus, the resistance force ratio to the effort (AMA) is less than the (IMA).

A frictionless machine would have an efficiency of 100%.

what is the speed of a horse in meters per second that runs a distance of 1.2 miles in 2.4 minutes​

Answers

time t=2.4 minutes=2.4×60=144 seconds
distance s=1.2 miles=1.2×1609=1930.8 meters
speed v=s/t=1930.8÷144=\( \frac{1930.8}{144} = \frac{160.9}{12} =[/13.408m/s ~nearly]

True or false, galaxies look the same whether viewed in visible or x-ray wavelengths.

Answers

False.

Galaxies do not look the same when viewed in visible or X-ray wavelengths. The electromagnetic spectrum consists of various wavelengths, including visible light and X-rays, each carrying different types of information about celestial objects.

When observing galaxies in visible light, we primarily see the light emitted by stars within the galaxies. This provides information about the distribution of stars, their colors, and the overall structure of the galaxy. Visible light observations are commonly used to study the morphology and stellar populations of galaxies.

On the other hand, X-ray observations reveal a different aspect of galaxies. X-rays are produced by extremely energetic processes, such as accretion onto black holes, supernova remnants, and hot gas in galaxy clusters. By observing galaxies in X-ray wavelengths, we can study active galactic nuclei, high-energy phenomena, and hot gas properties within galaxies and galaxy clusters.

Visible light observations provide insights into the stellar content and structure of galaxies, while X-ray observations give us information about the energetic processes and hot gas within galaxies. Therefore, galaxies can appear different when viewed in visible or X-ray wavelengths.

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A merry-go-round moves in a circle at a constant speed. Is the merry-go-round accelerating? Explain your answer.
Uniform Circular Motion:

Uniform Circular motion is the motion of a body that moves at constant angular velocity. Some examples of bodies that move at uniform circular motion are the blades of a fan set at a constant setting and the motion of a compact disc while the player is on.

Answers

The merry-go-round is accelerating since it is moving in a circle despite the fact that it is moving at a constant speed. The fact that an object moves in a circle does not always imply that it is moving at a constant speed. When an object moves in a circle, it changes direction, and this alteration of direction implies that the object is accelerating.

Even if the speed remains constant, it is still accelerating because the velocity is changing. This is referred to as centripetal acceleration. Centripetal acceleration is the acceleration caused by a force that pulls an object towards the center of the circle. Centripetal force is required for a body to move in a circle. A merry-go-round moves in a circle at a constant speed. This implies that the speed of the merry-go-round does not vary. However, the direction of motion changes continuously, indicating that the merry-go-round is constantly accelerating. Therefore, the merry-go-round is accelerating despite the fact that it is moving at a constant speed.

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Uranium-235 has 92 protons. How many neutrons does it have?

Answers

Answer:

146 neutrons.

Explanation:

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Answer: The atomic number of uranium (see periodic table) is 92, and the mass number of the isotope is given as 238. Therefore, it has 92 protons, 92 electrons, and 238 — 92 : 146 neutrons.

Explanation:

a ____ pressure usually indicates clearing weather or fair weather. a. steadily rising b. constant c. fluctuating d. steadily falling

Answers

A steadily rising pressure usually indicates clearing weather or fair weather.

In general, changes in barometric pressure can be used to predict changes in weather conditions. A rising barometric pressure usually indicates that the weather is clearing up or will remain fair, while a falling barometric pressure often indicates that stormy weather is on the way.

A steadily rising pressure indicates that the air pressure is increasing and the weather is likely to improve or remain stable. In contrast, a steadily falling pressure indicates that the air pressure is decreasing, which could indicate an approaching storm or other atmospheric disturbance. Fluctuating pressure and constant pressure are not necessarily indicative of any specific weather conditions.

So, the correct answer is a. steadily rising.

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A steadily rising pressure usually indicates clearing weather or fair weather.

The pressure is an important factor in predicting weather conditions.

A barometer is used to measure atmospheric pressure and it is typically reported in inches of mercury or millibars.

Changes in atmospheric pressure can provide important clues about the weather conditions that are expected to occur in the near future.

When the atmospheric pressure is steadily rising, it typically indicates that clearing weather or fair weather is on the way.

This is because high pressure systems generally bring with them clear skies and dry air, which can make for pleasant weather conditions.

In contrast, when the atmospheric pressure is steadily falling, it is typically an indication that stormy weather is on the way.

This is because low pressure systems generally bring with them cloudy skies and moist air, which can lead to precipitation and thunderstorms.

A constant pressure may indicate that the current weather conditions are likely to persist for a while.

However, it is important to note that changes in wind patterns or temperature can still affect the weather, even if the pressure remains constant.

Fluctuating pressure can be an indication that weather conditions are likely to change rapidly.

For example, if the pressure is dropping quickly, it may indicate that a storm is approaching.

In summary, understanding the relationship between atmospheric pressure and weather conditions can be helpful in predicting the weather.

A steadily rising pressure usually indicates clearing weather or fair weather, while a steadily falling pressure usually indicates stormy weather.

A constant pressure may indicate that the current weather conditions are likely to persist, while fluctuating pressure can be an indication that weather conditions are likely to change rapidly.

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The cheetah is the fastest land animal, able to reach quickly a maximum speed of 31.0 m/s. But it is able to maintain this speed for only about 10.0 s. Suppose that the cheetah stalks a prey that has a maximum speed of 25.0 m/s, but is able to maintain this speed for much longer than 10.0 s. If it is to catch its prey, what is the maximum distance the cheetah can be from the prey when the chase begins?

Answers

Answer:

60 m

Explanation:

Given that a cheetah is able to reach quickly a maximum speed of 31.0 m/s. But it is able to maintain this speed for only about 10.0 s.

The distance = speed × time

The distance = 31 × 10

The distance = 310 m

Suppose that the cheetah stalks a prey that has a maximum speed of 25.0 m/s, but is able to maintain this speed for much longer than 10.0 s.

The prey distance = 25 × 10

Distance = 250m

If it is to catch its prey, the maximum distance the cheetah can be from the prey when the chase begins must be:

Maximum distance = 310 - 250

Maximum distance = 60 m

A wave with a frequency of 573.0 Hz is traveling at a speed of 319.0 m/s. What is the wavelength?

Input your answer with 1 decimal place

Answers

A wave with a frequency of 573.0 Hz is traveling at a speed of 319.0 m/s. The wavelength of the wave is approximately 0.6 meters.

The relationship between frequency, wavelength, and speed of a wave is given by the equation:

v = λ * f

Where:

v = speed of the wave

λ = wavelength of the wave

f = frequency of the wave

In the given problem, we are given the frequency (f = 573.0 Hz) and the speed (v = 319.0 m/s) of the wave. We need to find the wavelength (λ).

Rearranging the equation, we get:

λ = v / f

Substituting the given values into the equation, we have:

λ = 319.0 m/s / 573.0 Hz

Calculating this, we find:

λ ≈ 0.556 m

Since we need to provide the answer with one decimal place, the final answer is approximately 0.6 meters.

In conclusion, the wavelength of the wave with a frequency of 573.0 Hz and traveling at a speed of 319.0 m/s is approximately 0.6 meters.

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An object starts at rest and accelerates to a velocity of 8 m/s in a period of 4 s. What is the acceleration of the object?

Answers

Answer:

2m/s^2

Explanation:

vf-vi/t

8-0/4

2m/s^2

Other Questions
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