A vector of components (6, 2) is multiplied by the scalar value of 3. What is the magnitude and direction of the resultant vector?

The ship is located 200.51 km east from the harbor.

The given angle of travel of the ship is 27.5° to the south of due east. To solve this question, we can use trigonometry, and more specifically, we can use the sin function because we know the opposite and hypotenuse side of the angle of travel of the ship. To get started, we need to break down the angle of travel as well as the displacement of the ship along the eastern axis. We know that the ship sailed at 27.5° to the south of due east and traveled a distance of 365 km. From this information, we can find the opposite and hypotenuse side of the triangle formed by the ship's angle of travel and displacement eastward. Let x be the displacement of the ship along the eastern axis.

Then, east displacement of ship = x

We know that the angle of travel of the ship = 27.5° south of due east. This implies that angle of travel of the ship from the eastern axis is 90° - 27.5° = 62.5°.

We know that opposite side of the ship's angle of travel is the southward displacement of the ship = 365 km.

This implies that the hypotenuse of the ship's angle of travel is given as: hypotenuse = 365 / sin(62.5°) = 398.89 km

Therefore, the displacement of the ship along the eastern axis = east displacement of the ship = hypotenuse × cos(62.5°)

Substituting hypotenuse = 398.89 km and angle of travel of ship from eastern axis = 62.5°, we get:

east displacement of ship = 398.89 × cos(62.5°) = 200.51 km

Therefore, the ship is located 200.51 km east from the harbor.

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F = ma

= 50kg × 2.5 m/s²

= 125 N

Answer : 125N

Explanation :

F = Force (N)

m = mass (kg)

a = acceleration (m/s²)

Answer:

Carbon-14 decays relatively quickly

Explanation:

i took the test

Answer:

A magnetic field surrounds any electric charge in motion. ... The distance between the lines indicates relative strength of the magnetic field. The closer the lines are, the stronger the magnetic field is. Iron filings and a compass may be used to trace the shape, strength, and direction of magnetic field lines.

Explanation:

The magnitude of the force of attraction between the Styrofoam plate and the aluminum dish is \(5.15 * 10^-7 N\).

We can use Coulomb's law to calculate the magnitude of the force of attraction between the Styrofoam plate and the aluminum dish. Coulomb's law states that the force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them:

\(F = k * (q1 * q2) / d^2\)

where F is the force, k is Coulomb's constant \((9 x 10^9 N*m^2/C^2)\), q1 and q2 are the charges of the two objects, and d is the distance between the centers of the objects.

Substituting the given values, we get:

\(F = (9 x 10^9 N*m^2/C^2) * ((-4.16 x 10^-10 C) * (8.85 x 10^-10 C)) / (0.0222 m)^2\)

\(F = -5.15 x 10^-7 N\)

The negative sign indicates that the force of attraction is attractive, which means that the Styrofoam plate and the aluminum dish are attracted to each other. Therefore, the magnitude of the force of attraction between the Styrofoam plate and the aluminum dish is\(5.15 x 10^-7 N.\)

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The energy density of most enteral formulas is between 1.0 and 2.0 kilocalories per milliliter (kcal/mL).

The energy density of enteral formulas refers to the amount of calories (energy) contained within a given volume of the formula. Enteral formulas are specially designed liquid nutrition products used for individuals who are unable to consume food orally or have difficulty absorbing nutrients from solid food.

The energy density of most enteral formulas typically falls within the range of 1.0 to 2.0 kilocalories per milliliter (kcal/mL). This range allows for flexibility in meeting individual energy needs based on factors such as age, medical condition, and nutritional requirements.

Enteral formulas with lower energy density, such as 1.0 kcal/mL, are often used for individuals who require a lower calorie intake or have specific dietary restrictions. These formulas may be recommended for those with certain gastrointestinal disorders or conditions where a slower rate of nutrient delivery is desired.

On the other hand, enteral formulas with higher energy density, such as 1.5 or 2.0 kcal/mL, are utilized when higher calorie requirements need to be met within a smaller volume. These formulas may be beneficial for individuals with increased energy needs, such as those recovering from surgery, trauma, or severe malnutrition.

It's important to note that the energy density of enteral formulas can vary among different brands and types of products. Additionally, the choice of an enteral formula and its energy density should be made under the guidance of a healthcare professional or registered dietitian, considering the specific nutritional needs of the individual.

Hence, The energy density of most enteral formulas is between 1.0 and 2.0 kilocalories per milliliter (kcal/mL).

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Answer:

sequence

Explanation:

sequences are the way in which things are ordered, for example: 1, 2, 3, 4 is a sequence:)

Answer:

ke = 0.5 x m x v^2

Explanation:

Answer:

Explanation:

w=F×S

F=mg

F =50×110

F=500N

S=0.1 m

W=500×0.1

W=50j

dissolve salt in water then pour the liquid away from the sand and then evaporate the water to recover the salt

Answer: decrease in current, power loss, and voltage drop

Red Dwarf or lower main sequence stars are the most abundant, but they are not plotted on many H-R diagrams as they have a very low luminosity and temperature.

Red Dwarf stars, also known as lower main sequence stars, are the most abundant stars in the universe. These stars have a very long lifespan, meaning they have moved off the main sequence when observed in the present day. Many of the Hertzsprung-Russell (H-R) diagrams used to depict the evolution of stars do not include Red Dwarf stars. H-R diagrams are scatter plots of stars in which absolute magnitude (luminosity) is plotted against spectral class (temperature).
These stars are not plotted on H-R diagrams because Red Dwarfs are dim. Lower main sequence stars such as Red Dwarfs have a very low luminosity and temperature and hence are not visible from large distances. Red Dwarfs have a long lifespan: The lifespan of a star is proportional to its mass, with lower-mass stars having longer lifespans. As a result, Red Dwarfs, which have the lowest mass of all stars, have very long lifespans.

By the time they have moved off the main sequence and become observable, they are no longer located on the main sequence. Red Dwarf stars are not commonly observed due to their low luminosity and temperature. They may be observed if they are close to the sun or part of a binary system with a brighter star.

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Answer: (2) > (1) > (3) > (4)

Explanation:

(1) a +1 charge and a -1 charge separated by 200 pm:

The potential energy in this case will be,

\(U_E & = k\;\rm (N\cdot m^2/C^2) \dfrac{(+1 \ C)(-1 \ C)}{200 \times 10^{-9} \ m } \\ & = - \frac{1}{2}k \times 10^7 \ \rm J\)

(2) a +1 charge and a +1 charge separated by 100 pm:

The potential energy in this case will be,

\(U_E & = k\;\rm (N\cdot m^2/C^2) \dfrac{(+1 \ C)(+1\ C)}{100 \times 10^{-9} \ m } \\ & = k \times 10^7 \ \rm J\)

(3) a +1 charge and a -1 charge separated by 100 pm:

The potential energy in this case will be,

\(U_E & = k\;\rm (N\cdot m^2/C^2) \dfrac{(+1 \ C)(-1 \ C)}{100 \times 10^{-9} \ m } \\ & = - k \times 10^7 \ \rm J\)

(4) a +2 charge and a -1 charge separated by 100 pm:

The potential energy in this case will be,

\(U_E & = k\;\rm (N\cdot m^2/C^2) \dfrac{(+2 \ C)(-1 \ C)}{100 \times 10^{-9} \ m } \\ & = - 2k \times 10^7 \ \rm J\)

So, the order from highest potential energy to lowest potential energy is:

(2) > (1) > (3) > (4)

The three key processes that alter the surface of an object and make it show less cratering. The size and shape of the crater and the amount of fabric excavated rely upon elements such as the speed and mass of the impacting frame and the geology of the floor. The faster the incoming impactor, the bigger the crater.

An effect crater is formed whilst an item like an asteroid or meteorite crashes into the floor of a larger solid item like a planet or a moon. The excavation of bowl-formed depressions via asteroids or comets putting a planet's surface.

Crater diameter is proportional to the mass and velocity of the impactor. based totally on the kinetic electricity equation, kinetic power=1/2mv^2, speed increases have a greater impact on a crater diameter than mass will increase when you consider that pace is squared.

The scale of the impact crater relies upon such factors as the size and velocity of the impacting item and the attitude at which it strikes the floor of the Earth. Meteorite flux is the full mass of extraterrestrial items that strike the Earth.

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No, conversion of wood to sawdust is an irreversible change, because a block of wood after grounding into sawdust cannot be changed into the same block of wood

Answer:

mechanical advantage

Explanation:

i got it right on edge :)

Answer: 20 Oreos

Explanation:

The net resultant force on the airplane, based on the data provided in the question, is 250 N.

Calculate the resultant force by deducting the larger force's size from of the smaller force's magnitude. The direction of the smaller force and the resulting force are identical. The resulting force is useful because it allows us to think about the several forces as as if they were one. To measure the effects of different forces on a thing, in other words.

Given data -

Thrust force = 450 N

headwind (drag) = 200 N

Net force = 450 - 200

Net force = 250 N.

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The magnitude of force exerted by the rope on the crate is 312 N.

From Newton's second law of motion, we know the expression of force as,

F = m * a

where, m is mass

a is acceleration

Given that, mass of the crate is 40 kg

Acceleration is 2 m/s²

The net force that the rope is applying to the card while it is sliding downward is given by,

F = m(g - a)

Substituting the values,

F = 40(9.8 - 2)

F = 312 N

Thus, the net force exerted by the rope on the crate is 312 N.

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Answer:

b. between 2 s and 4 s

Explanation:

2-4 was both 3m/s

The rate at which the radius increases when the radius is 6 cm is approximately 0.056 cm/s.

To determine how fast the radius increases, we can use the given information about the volume of a cylinder and its rate of change. The volume of a cylinder is given by the formula v = πR²H, where R represents the radius and H represents the height.

Given that the radius is three times the height, we can express the height as H = R/3. Substituting this value into the volume equation, we have v = πR²(R/3). Simplifying further, the volume equation becomes v = (π/3)R³.

Now, we are given that the volume increases at a rate of 10 cm/s. By taking the derivative of the volume equation with respect to time, we can determine how the radius changes over time. The derivative, dv/dt, is equal to (π/3)(3R²)(dR/dt), where dR/dt represents the rate of change of the radius.

Simplifying the equation, we have dv/dt = πR²(dR/dt). Substituting the given values, we have 10 cm/s = π(6²)(dR/dt).

Solving for dR/dt, we find that the rate at which the radius increases when the radius is 6 cm is approximately 0.056 cm/s.

Calculus and related concepts to explore the relationships between variables and their rates of change. Understanding these mathematical principles is essential for analyzing dynamic systems and their behaviors.

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The pressure exerted on the ground by the woman's heel is approximately 6235.25 pounds per square inch, which is quite high and could damage thin surfaces like aircraft floors.

Let's use the given information and calculate the pressure exerted on the floor by the heel.

Given:
- Area of the heel = 1.45 cm²
- Mass of the woman = 635 kg

Convert the area to square inches (1 cm = 0.3937 inches).
Area in square inches = 1.45 cm² * (0.3937 inches/cm)² = 0.2247 in²

Calculate the woman's weight in pounds (1 kg = 2.20462 lbs).
Weight = 635 kg * 2.20462 lbs/kg = 1400.93 lbs

Calculate the pressure exerted on the floor by the heel.
Pressure = Force / Area
Pressure = Weight / Area of heel
Pressure = 1400.93 lbs / 0.2247 in² = 6235.25 lbs/in²

The pressure exerted on the floor by the heel is 6235.25 pounds per square inch.

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The maximum value of the B field propagated in the beam with a wavelength of 630 nm is 10.5 nT.

Wavelength is the distance between crests or troughs in a wave. It is usually measured in meters, and is often represented by the Greek letter lambda (λ). In electromagnetic waves, such as light, radio, and microwaves, wavelength is the distance between two consecutive points of the same phase of the wave. Wavelength is inversely proportional to frequency; the higher the frequency, the shorter the wavelength. Wavelength is important in determining the characteristics of a wave and the behavior of light as it passes through different mediums. Wavelength can be used to identify elements, as different elements have characteristic wavelengths. In addition, wavelength is used to measure properties such as the speed of sound and calculate the energy of a wave.

The maximum value of the B field propagated in the beam is calculated using the following formula:
B max = h/λ, where h is Planck's constant and λ is the wavelength of the laser beam.
Plugging in the values for h (6.626 x 10-34 J s) and λ (630 nm or 6.3 x 10-7 m) gives us:
B max = 6.626 x 10-34 J s / 6.3 x 10-7 m
B max = 1.05 x 10-26 T or 10.5 nT.
Therefore, the maximum value of the B field propagated in the beam with a wavelength of 630 nm is 10.5 nT.

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For the two protons in the question, they are both going to have the same acceleration. Hence non can be said to be greater.

Electric field refers to area around electrically charged particle. This area is usually called the field. Electrical field exists only when electricity is present.

When two protons are in an electric field the have same acceleration

We have to conclude that For the two protons in the question, they are both going to have the acceleration. Hence non can be said to be greater.

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According to this graph, an object that would cause a mass extinction would need to be at least 10 km is diameter.

Any word (or pronoun) that forms the subject of a verb or preposition is referred to as an object. There are three categories of items: Straight Thing (e.g., I know him.) Unrelated Item (e.g., Give her the prize.) Prepositional Object (e.g., Sit with them.)

An expression's subject. The subject's verb's action upon a person, place, or thing is typically called the object. As you might expect, looking for the pronoun or the noun that follows the verb is the quickest approach to identify the subject in a simple sentence.

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Answer:

v= 8.3 m/ s^-1

Explanation:

S=vt

v= S/t

v= 250 m/ 30 s

v= 8.3 m/ s^-1