The boat travels approximately 0.011 ft, or about 0.13 inches, during the first 2 minutes after its motor quits.
We can use the approach of separation of variables to solve the differential equation dv/dt = -kv2, which describes the boat's speed as it coasts. Using integration and variable separation, we obtain:
∫ 1/v²dv = - ∫ kdt
Solving for v, we get,
v(t) = 1/(kt + C)
where C is the constant of integration. To find the value of C, we can use the initial condition that the boat is moving at 83 ft/s when its motor quits. Thus, at t=0, v(0)= 83, which gives:
C = 1/83
Now, we can use the equation for v(t) to find the distance traveled by boat during the first 2 minutes (120 seconds) after its motor quits. The distance traveled is given by the integral:
∫ 1/(kt + C)² dt
Substituting the values of k and C, we get:
∫ 82²/(83t + 1)² dt
Using a substitution u = 83t + 1, we get:
(1/83) ∫ du/u^2
Integrating and evaluating the integral between 1 and 241, we get:
(1/83)(1 - 1/241) = 0.011 ft
Therefore, the boat travels approximately 0.011 ft, or about 0.13 inches, during the first 2 minutes after its motor quits.
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What is the tendency of an object to resist a change in velocity called?
The tendency of an object to resist a change in velocity is called inertia. It is the resistance of an object to a change in its direction or speed of motion.
This property of matter is explained by Newton's First Law of Motion, which states that an object at rest or in motion will remain in that state unless an external force acts on it.
Inertia is the basis for the concept of momentum, which is the product of an object's mass and velocity.
When an object is in motion, it has momentum and is resistant to any change in its velocity. This is because it has inertia, which is the tendency of an object to resist a change in motion.
Inertia is an important concept in physics and is essential for understanding the motion of objects in the universe.
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At what distance from the surface of the sphere is the electron's speed half of its initial value?.
The electron's speed is measured in terms of the distance from the sphere's surface as -3.6 x 1028J.
The purpose of distance calculationWe can find out an object's actual size by knowing how far away it is. The area an object occupies in space above us can be measured. Once we know how far away it is, we can calculate its true size.
How would you define distance in plain English?Distance is an object's ultimate motion in an uninspired fashion. Regardless of the initial or concluding point, travel can be referred to as the amount of space an object having spanned.
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When resonance occurs, there is a dramatic decrease in the
amplitude of a sound wave?
True
O False
The given statement that when resonance occurs, there is a dramatic decrease in the amplitude of a sound wave is false.
How does resonance affect the amplitude of a sound wave?Resonance happens when a sound wave's frequency coincides with an object's inherent frequency, increasing the sound wave's amplitude.
Standing waves may develop in the tube as a result of resonance, which amplifies the vibrations' amplitude. The resonant frequencies depend on how long the air column is. The resonating air column amplifies solely the natural frequencies, as opposed to the mouth or reed which produce a combination of diverse frequencies.
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SOMEONE PLS HELP!!! THIS IS HARD!!! I will make brainliest and this is in science!
Answer: It has the skill to nest
sorry if I'm wrong
Answer:
B: A colorful beak
Explanation:
i hope this helped!
Which of the following shows a change in velocity? Group of answer choices Wendy is riding her bike in a circle in the parking lot. Amber is sitting on a park bench. Ken is driving on Interstate 4 at 65 mph. Jessica is walking her dog along Chestnut Avenue.
Wendy riding her bike in a circle in the parking lot is a change in direction, but her speed is constant, so her velocity is not changing. Amber sitting on a park bench and Jessica walking her dog along Chestnut Avenue are both stationary, so there is no change in velocity.
What is Velocity?
It is defined as the change in position of an object over a unit of time, usually measured in meters per second (m/s) or kilometers per hour (km/h), in a specific direction.
In physics, velocity is distinguished from speed, which is the magnitude of an object's velocity but without regard to its direction. Velocity is a more precise term than speed because it includes both magnitude and direction. For example, a car traveling at 60 km/h east has a different velocity than a car traveling at 60 km/h west.
Velocity is a fundamental concept in many areas of physics, including mechanics, thermodynamics, and electromagnetism. It is used to describe the motion of objects ranging from subatomic particles to celestial bodies in the universe.
The only option that shows a change in velocity is Ken driving on Interstate 4 at 65 mph. This is because velocity is a vector quantity that includes both speed and direction. As Ken is driving, he is changing his direction or speed, or both, which means his velocity is changing.
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how did the solar system form
The formation of the solar system was a complex and dynamic process that took place over millions of years.
It is believed that a nearby supernova explosion or shock wave triggered the collapse of this cloud, causing it to contract and spin faster. As it spun, the cloud flattened into a disk with a dense center, which eventually formed the Sun.
As the disk continued to spin, it began to cool and dust particles started to clump together, forming small grains. These grains collided and stuck together, gradually growing larger and forming planetesimals.
The inner planets, including Mercury, Venus, Earth, and Mars, formed from materials that were more heat-resistant, such as rocks and metals. The outer planets, including Jupiter, Saturn, Uranus, and Neptune, formed from materials that were more volatile, such as ices and gases.
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What is the acceleration of gravity on Venus?
Answer:
8.87 m/s^2
Explanation:
What 3 conditions are necessary for a lunar or solar eclipse?
The three conditions necessary for a lunar or solar eclipse are as follows:
The alignment of the Sun, Earth, and Moon must be approximately in a straight line.Specific geometry: The alignment must occur at specific points in the Moon's orbit around the Earth. The apparent size of the Moon must be close to the apparent size of the Sun as seen from Earth.When one celestial body partially or entirely blocks out the light from another celestial body, the occurrence is known as an eclipse. Solar eclipses and lunar eclipses are the two primary categories of eclipses.
For a lunar eclipse, the Earth is positioned between the Sun and the Moon and the Moon must be on the other side of the Earth from the Sun during a full moon for the alignment to take place. For a solar eclipse, the Moon is positioned between the Sun and the Earth and the Moon must be between the Earth and the Sun during a new moon for the alignment to take place.
Therefore, The three conditions necessary for a lunar or solar eclipse are as follows:
The alignment of the Sun, Earth, and Moon must be approximately in a straight line.Specific geometry: The alignment must occur at specific points in the Moon's orbit around the Earth. The apparent size of the Moon must be close to the apparent size of the Sun as seen from Earth.To know more about eclipses, click here:
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What temperature is 17 degrees in Fahrenheit?
Answer:
62.6 degrees fahrenheit
A boeing-737 airliner has a mass of 20 300 kg. The total area of the wings is 105 m2. What must be the pressure difference between the top and bottom of the wings to keep the airplane up?.
The correct option is A = 1897 N/m²
Given that,
Mass m= 20,300 kg.
Area A =105 m²
Pressure different between top and bottom
Assume the plane has reached a cruising altitude and is not changing elevation. The sum of the forces in the vertical direction is given as
∑Fy = Wp + FL = 0
where
Wp = is the weight of the plane, and
FL is the lift pushing up on the plane.
Let's solve for FL since the mass of the plane is given:
Wp + FL = 0
FL = -Wp
FL = -mg
FL = -20,300× -9.81
FL = 199,143N
FL should be positive since it is opposing the weight of the plane.
Let's Equate FL to the pressure differential multiplied by the area of the wings:
FL = (Pb −Pt)⋅A
where Pb and Pt are the static pressures on the bottom and top of the wings, respectively
FL = ∆P • A
∆P = FL/A
∆P = 199,143 / 105
∆P = 1896.6 N/m²
∆P ≈ 1897 N/m²
Hence 1897 N/m² is the correct answer.
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When you whirl a cancan at the end of a string in a circular path, what is the direction of the force you exert on the cancan?
While whirling a can (or any object attached to a string) in a circular path, the direction of the force exerted on the can is toward the centre of circular path. This force is called the centripetal force.
What is a Centripetal Force?
Centripetal force is a force that acts on an object moving in a circular path and is directed toward the centre of the circle. It is what keeps the object moving in a circular path and prevents it from flying off in a straight line.
The magnitude of the centripetal force is proportional to the mass of the object, it's velocity, and the radius of the circular path. It can be calculated using the equation[tex]F = mv^2/r[/tex], where F is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circular path.
For example, while going around a curve in a car, the friction between the tires and the road provides the necessary centripetal force to keep the car moving in a circular path. Another example is a planet moving in orbit around the sun, where the gravitational force of the sun acts as the centripetal force.
In the case of a can attached to a string, the centripetal force is provided by the tension in the string. The string provides the necessary inward force to keep the can moving in a circular path, and the tension in the string is proportional to the centripetal force.
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If a battery of 9 V is connected across a parallel plate capacitor with plate separation of 2 mm, what is the magnitude of the electric field between its plate when it is fully charged? A.4500 V/mB.9000 V/mC.18 V/mD.18000 V/mE.0 V/m
The magnitude of the electric field between the plates of the capacitor when it is fully charged is 4500 V/m, which corresponds to option A.
How to calculated the magnitude of the electric field between the plates of a parallel plate capacitor?The magnitude of the electric field between the plates of a parallel plate capacitor can be calculated using the formula:
E = V/d
Where
E is the electric fieldV is the voltage across the capacitord is the distance between the platesIn this case, the voltage V is given as 9 V and the plate separation d is given as 2 mm (which can be converted to 0.002 m). Substituting these values into the formula, we get:
E = 9 V / 0.002 m
E = 4500 V/m
Therefore, the magnitude of the electric field between the plates of the capacitor when it is fully charged is 4500 V/m, which corresponds to option A.
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A car accelerates at 2 meters/s/s. Assuming the car starts from rest, how far will it travel in 10 s?.
Answer:
100 m
Explanation:
Δx = v₀t + 1/2at²
Δx = 0 + 1/2(2 m/s²)(10 s)² = 100 m
Compared to visible radiation, does infrared radiation have longer or shorter wavelengths and higher or lower energy per photon?
Infrared radiation has longer wavelengths compared to visible radiation, and lower energy per photon.
What are infrared radiation?Infrared radiation (IR) is a type of electromagnetic radiation that is not visible to the human eye. It has a longer wavelength and lower frequency than visible light, and it is part of the electromagnetic spectrum that also includes radio waves, microwaves, visible light, ultraviolet radiation, X-rays, and gamma rays.
Infrared radiation is often associated with thermal radiation, which is the emission of electromagnetic waves from objects that are at a temperature above absolute zero. This is because infrared radiation is often emitted by objects that are warm, and it is this type of infrared radiation that is responsible for our ability to feel heat.
Infrared radiation has a wide range of applications, including in remote sensing, thermal imaging, and heating. For example, in remote sensing, infrared radiation can be used to observe and study the Earth and other celestial objects, as well as to detect and monitor changes in temperature, vegetation, and other physical properties. In thermal imaging, infrared cameras are used to detect heat signatures and create images based on temperature differences. In heating, infrared heaters use infrared radiation to heat objects and materials directly, rather than heating the air around them.
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A cardiac defibrillator can be modeled as a parallel plate capacitor. When it is charged to a voltage of 2 kV, it has a stored energy of 1 kJ. What is the capacitance of the defibrillator?A2.5×10−4 FB5×10−4 FC2.5×10−1 FD5×10−1 FE1.0 F
A cardiac defibrillator can be modeled as a parallel plate capacitor, Capacitance of the defibrillator is 1 F. Hence, the correct option is (E).
The energy stored in a capacitor is given by the equation:
E = 1/2 * C * V^2
where E is the energy in joules, C is the capacitance in farads, and V is the voltage across the capacitor in volts.
We are given that the defibrillator has a stored energy of 1 kJ (1000 J) when charged to a voltage of 2 kV. Substituting these values into the equation, we get:
1000 J = 1/2 * C * (2 kV)^2
Simplifying this equation, we get:
C = 1000 J / (1/2 * (2 kV)^2) = 1 F
Therefore, the capacitance of the defibrillator is 1 F.
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A biker has a PE of 360 J at the top of a hill. On the way down the hill, she lost 150 J to heat.
What is her KE at the bottom of the hill?
(Show work please)
The biker's kinetic energy at the bottom of the hill is 210 J.
What is the kinetic energy of the biker?The law of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another.
So, as the biker travels down the hill, her potential energy (PE) transforms into kinetic energy (KE).
At the top of the hill, her PE is 360 J, and she loses 150 J to heat,
so her remaining energy is 360 J - 150 J = 210 J.
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the volume of a gas held at constant temperature varies indirectly as the pressure of the gas. if the volume of a gas is 1200 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 300 millimeters of mercury?
When the pressure is 300 mmHg, the gas has an 800 cc volume.
Boyle's second law is what?According to this, a gas's volume drops as pressure on it rises at a constant temperature. In other words, while the temperature and the quantity of molecules are both constant, Boyle's law states that volume is inversely proportional to pressure.
The answer to the dilemma is that at constant temperature, the relationship between the gas's volume (V) and pressure (P) is inverse.
V ∝ 1/P
or
V = k/P
V = 1200 cc when P = 200 mmHg
These values are put into the formula above to get the following results:
1200 = k/200
k = 240000
V = 240000/300
V = 800 cc.
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whether a truck comes to a stop by crashing into a haystack or a brick wall, the stopping force is
i think the stopping force would be different as a haystack has less friction whilst the brick wall would have more friction
Explanation:
What is 73 °F in °C? -
Temperature of 73 °F is equivalent to 22.78 °C.
The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature.
Temperature conversion is a specific process of converting a given temperature from one temperature scale to another. In this case, we are converting from Fahrenheit (°F) to Celsius (°C).
The formula to convert from Fahrenheit to Celsius is:
°C = (°F - 32) × 5/9
Using this formula, we can convert 73 °F to °C:
°C = (73 - 32) × 5/9
°C = 41 × 5/9
°C = 22.78
So, 73 °F is equivalent to 22.78 °C.
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What is 25 degrees celsius ?
Answer:
77 degrees fahrenheit
Explanation:
Correct me if im wrong
A large spring requires a force of 100 n to compress it only 0. 010 m. What is the spring constant of the spring?.
The spring constant of the spring is 10,000 N/m.
What is the constant ?The constant is a fixed value that does not change in response to external influences. It is often used in mathematics to represent a number that remains constant despite changes in the context or situation. In physics, constants are used to represent physical properties of matter, such as the speed of light or the force of gravity. In computing, constants are used to represent values that need to be used multiple times within a program. Constants can be used to improve code readability and maintainability, as well as to prevent errors associated with using the same value multiple times.
The spring constant, k, is a measure of how stiff the spring is; it is equal to the ratio of the force applied to the spring divided by the amount of displacement (or compression) of the spring. Therefore, the spring constant of the spring can be calculated as:
k = F/x
= 100 N/0.010 m
= 10,000 N/m
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What is 65 degrees fahrenheit to celsius ?
Answer:
18.333 degrees celsius
Explanation:
Correct me if im wrong
65 degrees Fahrenheit is equal to 18.33 degrees Celsius.
Celsius (°C) and Fahrenheit (°F) are two different temperature scales used to measure temperature. The Celsius scale is widely used in most countries around the world, while the Fahrenheit scale is primarily used in the United States and a few other countries.
To convert 65 degrees Fahrenheit to Celsius, the following formula is used:
°C = (°F - 32) × 5/9
°C = (65 - 32) × 5/9
°C = 33 × 5/9
°C = 165/9
°C = 18.33
Therefore, 65 degrees Fahrenheit is approximately equal to 18.33 degrees Celsius.
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Who described the universe as a giant clock with unified rules for gravitation and motion?
Based on what you learned about telescopes, select all of the correct statements from the following list.
Option A. Radio telescopes usually make observations of very large regions of the sky. Option C. Radio telescopes are used to detect cool hydrogen. Option D. Radio telescopes have to be larger than optical telescopes, since radio waves are longer than visible light waves.
Option F. Radio waves can travel through obstacles that block out waves of visible light.
These statements are correct. The other two statements are incorrect. Interferometry can be used with radio telescopes to increase their resolution, and not all objects emit visible light, so radio telescopes can detect objects that are not visible in the optical spectrum. Radio telescopes are instruments used to detect radio waves emitted by astronomical objects in space. They are used to study a wide range of phenomena, from the cool hydrogen gas that permeates the universe to the high-energy radiation emitted by black holes and other exotic objects.
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Complete question:
Based on what you learned about radio telescopes, select all of the correct statements from the following list.
A. Radio telescopes usually make observations of very large regions of the sky.
B. The large size of radio telescopes make interferometery unnecessary.
C. Radio telescopes are used to detect cool hydrogen.
D. Radio telescopes have to be larger than optical telescopes, since radio waves are longer than visible light waves.
E. Since radio telescopes are so large, they have much better resolution than optical telescopes.
F. Radio waves can travel through obstacles that block out waves of visible light.
G. All objects emit visible light, so radio wavelengths just provide another way to look at them.
What is the true meaning of IQ?
The true meaning of IQ Intelligence Quotient, which is a measure of an individual's cognitive abilities or intellectual potential.
IQ tests are designed to assess various aspects of cognitive functioning, such as problem-solving, abstract reasoning, memory, and perceptual speed. The true meaning of IQ is a subject of ongoing debate among psychologists and researchers. Some experts view IQ as a reliable and valid measure of intelligence, while others argue that it has limitations and may not capture the full range of human intellectual abilities. IQ scores are typically standardized, with a mean score of 100 and a standard deviation of 15 points. This means that the majority of people score between 85 and 115, while scores above 130 are considered high and scores below 70 are considered low. It is important to note that IQ scores do not reflect an individual's entire range of abilities, nor do they determine a person's success or potential in life. Many factors, such as motivation, emotional intelligence, creativity, and social skills, can also contribute to an individual's overall success and well-being. Furthermore, IQ tests have been criticized for their potential cultural and social biases, as well as their limited ability to capture certain types of intelligence, such as emotional intelligence or practical intelligence. As such, IQ scores should be interpreted with caution and used in conjunction with other measures of intellectual and personal functioning.
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The posted rates for cab fare are $4 plus $1 per mile. How many miles can a passenger travel in the cab for $15?.
If the posted rates for cab fare are $4 plus $1 per mile, then the passenger can travel 11 miles in the cab for $15.
The given data is as follows:
The general fare rate of the cab is $4
The cost per each mile is $1
Total remaining cash available = $15
let us assume that n is the number of miles that passenger travel in the cab
From the above-given information, we can write the equation as follows:
Total money = Cost of fare + cost per mile
$15 = $4 + $1(n)
1(n) = 15-4
n = 11/1
n = 11 miles.
Therefore, we can conclude that the passenger can travel 11 miles in the cab for $15.
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two point masses m and m are separated by a distance d. if the separation d remains fixed and the masses are increased to the values 3m and 3m respectively, how does the gravitational force between them change?
When the masses of two point masses increase while the distance between them remains constant, the gravitational force between them increases proportionally to the square of the increase in mass.
What is gravitational force?
Gravitational force is the force of attraction between two masses. It is one of the four fundamental forces of nature and is responsible for the motion of celestial bodies, such as planets and stars, as well as the behavior of objects on the surface of the Earth.
The force of gravity between two masses can be described by Newton's law of universal gravitation, which states that every particle in the universe attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
The formula for the gravitational force is given by Newton's law of universal gravitation:
F = G * (m1 * m2) / d^2
where:
F is the gravitational force between two masses
G is the gravitational constant (G = 6.67 x 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two objects
d is the distance between the centers of the two masses.
CalculationThe gravitational force between two point masses is given by the formula:
[tex]F = G * (m1 * m2) / d^2[/tex]
where G is the gravitational constant and m1 and m2 are the masses of the two objects.
If the masses of the two point masses are increased from m to 3m, then the new formula for the gravitational force becomes:
[tex]F' = G * (3m * 3m) / d^2 = 9 * (G * (m * m) / d^2)[/tex]
Thus, the gravitational force between the two point masses is increased by a factor of 9 when the masses are increased to 3m.
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A crossbow (5.0kg) is sitting loaded with a bolt (m = 0.10kg) on a friction free table. The crossbow is triggered and the bolt (also called an arrow) is launched to the right with a speed of 25 m/s. The velocity of the crossbow as it recoils is _m/s
Answer:
The velocity of the crossbow as it recoils is 5 m/s. This can be calculated using the conservation of momentum. The momentum of the system before the bow was triggered is 0 (since the bow is stationary). After launching the bolt, the momentum of the system is (0.10 kg * 25 m/s), so in order for the momentum of the system to remain constant, the crossbow must recoil with a momentum of (5.0 kg * -5 m/s).
Health-related physical fitness is defined as fitness related to some aspect of health. This type of physical fitness is primarily influenced by an individual's exercise habits; thus, it is a dynamic state and may change. Physical characteristics that constitute health-related physical fitness include strength and endurance of skeletal muscles, joint flexibility, body composition, and cardiorespiratory endurance. All these attributes change in response to appropriate physical conditioning programs, and all are related to health.
Health-related physical fitness is important for overall health and well-being. Health-related physical fitness can help improve an individual's quality of life and reduce their risk for certain diseases.
What is the quality ?The quality of something is its level of excellence. It is a measure of how good something is compared to other things of the same type, and it is usually judged by an expert or by public opinion. Quality is subjective and can be difficult to define. Generally, it is determined by the degree to which something meets its intended purpose, is aesthetically pleasing, or is unlikely to cause harm. Quality is also determined by the level of craftsmanship, materials, and effort that goes into creating something, as well as the amount of care that is taken to ensure that it meets the highest standards. Quality is important as it can affect a product or service's success and it can also impact a person's satisfaction with a purchase.
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a satellite moves in a circular orbit around the earth at a speed of 6.6 km/s. determine the satellite's altitude above the surface of the earth, Assume the earth is a homogeneous sphere of radius 6370 km and mass 5.98x10^24 kg. The value of the universal gravitational constant is 6.67259x10^-11 N x m^2/kg^2.
The altitude of the satellite above the surface of the Earth is 1,528.48 km. The given parameters; are the speed of the satellite, v = 6.9 km/s. the radius of the Earth, R = 6370 km.
What is the radius?A radius is a measure of distance from the centre of any circular object to its outermost edge or boundary. A radius is not only a dimension of a circle but also for a sphere, semi-sphere, cone with a circular base, and a cylinder having circular bases.
A circle can be defined as the locus of a point moving in a plane, in such a manner that its distance from a fixed point is always constant.
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