A highway is to be built between two towns, one of which lies 50.0 km south and 78.0 km west of the other. what is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed

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The apparent weight of the metal when completely immersed in the liquid is 16.6 N. This can be calculated using the principle of buoyancy, where the buoyant force acting on the metal is equal to the weight of the liquid displaced by the metal.

Explanation:

The weight of the metal in air is given as 20 N. In the liquid, the buoyant force acting on the metal will partially offset its weight. The buoyant force is equal to the weight of the liquid displaced by the metal.

To calculate the weight of the liquid displaced, we need to find the volume of the metal. The volume can be determined using the density of the metal:

density = mass/volume

Rearranging the formula, we have:

volume = mass/density

Let's assume the mass of the metal is 'm' kg. The volume of the metal can be calculated as:

volume = m / (density of metal)

The weight of the liquid displaced is equal to the weight of this volume of liquid, which can be calculated as:

weight of liquid displaced = volume of metal × density of liquid × g

where g is the acceleration due to gravity.

Since the weight of the liquid displaced is equal to the buoyant force acting on the metal, we can equate the two:

weight of liquid displaced = buoyant force = apparent weight of metal in liquid

Therefore, we have:

volume of metal × density of liquid × g = apparent weight of metal in liquid

Rearranging the equation to find the apparent weight:

apparent weight of metal in liquid = volume of metal × density of liquid × g

Substituting the values, we get:

apparent weight of metal in liquid = (m / (density of metal)) × density of liquid × g

Plugging in the given values for the densities and acceleration due to gravity, we can calculate the apparent weight:

apparent weight of metal in liquid = (m / (7.8 × 10³ kg/m³)) × (8.3 × 10² kg/m³) × (9.8 m/s²)

Simplifying this equation will give us the apparent weight of the metal in the liquid, which is approximately 16.6 N.The apparent weight of the metal when completely immersed in the liquid is 16.6 N. This can be calculated using the principle of buoyancy, where the buoyant force acting on the metal is equal to the weight of the liquid displaced by the metal.

The weight of the metal in air is given as 20 N. In the liquid, the buoyant force acting on the metal will partially offset its weight. The buoyant force is equal to the weight of the liquid displaced by the metal.

To calculate the weight of the liquid displaced, we need to find the volume of the metal. The volume can be determined using the density of the metal:

density = mass/volume

Rearranging the formula, we have:

volume = mass/density

Let's assume the mass of the metal is 'm' kg. The volume of the metal can be calculated as:

volume = m / (density of metal)

The weight of the liquid displaced is equal to the weight of this volume of liquid, which can be calculated as:

weight of liquid displaced = volume of metal × density of liquid × g

where g is the acceleration due to gravity.

Since the weight of the liquid displaced is equal to the buoyant force acting on the metal, we can equate the two:

weight of liquid displaced = buoyant force = apparent weight of metal in liquid

Therefore, we have:

volume of metal × density of liquid × g = apparent weight of metal in liquid

Rearranging the equation to find the apparent weight:

apparent weight of metal in liquid = volume of metal × density of liquid × g

Substituting the values, we get:

apparent weight of metal in liquid = (m / (density of metal)) × density of liquid × g

Plugging in the given values for the densities and acceleration due to gravity, we can calculate the apparent weight:

apparent weight of metal in liquid = (m / (7.8 × 10³ kg/m³)) × (8.3 × 10² kg/m³) × (9.8 m/s²)

Simplifying this equation will give us the apparent weight of the metal in the liquid, which is approximately 16.6 N.

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Answer:

E = h ν = h c / λ

E = (6.63E-34 J-s * 3.00E8 m/s) / 757.7E-9 m

E = 2.62E-19 J

Note 1 eV = 1.60E-19 J

ν = c / λ = 3.00E8 / 110.9E-9 = 2.71E15 / sec

How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

Substituting the given values, we get: E = (6.626 x 10^-34 J s)(3.00 x 10^8 m/s)/(757.7 x 10^-9 m)E = 2.61 x 10^-19 JTherefore, the energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. What is the frequency (in Hz) of light that has a wavelength of 110.9 nm  The frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. The frequency of light is given by the formula:f = c/λwhere f is the frequency, c is the speed of light, and λ is the wavelength of the light.

Substituting the given values, we get:f = (3.00 x 10^8 m/s)/(110.9 x 10^-9 m)f = 2.70 x 10^15 Hz Therefore, the frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

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The beam can be lifted at a distance of approximately 770.27 meters.

The quantity of energy transmitted when a force is applied across a distance is measured by the physical concept of work. A force must be applied to an object in order for it to move in the direction of the force and perform work. The unit of measurement for work is the joule (J), which has a magnitude but no direction.

To find the distance of the beam can be lifted, use the formula:

Work = force × distance × cos(θ)

Distance = 57000 J ÷ (74 N × cos(θ))

= 770.27 meters

Thus, the capacity of beam 770.27 meter.

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Due to the sheer short wavelength, the angle at which constructive interference in between waves occurs is unequal wavelengths.

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If the steel beam is being lowered at steady speed by a crane using a single cable, then there would be three force vectors shown on a free-body diagram. These vectors are:

The weight of the steel beam, which acts downwards towards the Earth. The tension force in the cable, which acts upwards and is equal in magnitude to the weight of the beam. This force is applied by the crane and is transmitted to the beam through the cable. The air resistance force, which acts upwards and opposes the motion of the beam. This force is usually small and can be neglected if the beam is moving at a steady speed. Therefore, to draw a free-body diagram of the steel beam being lowered by a crane using a single cable, three force vectors would be shown: the weight of the beam acting downwards, the tension force in the cable acting upwards, and the air resistance force acting upwards if it is significant.

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Answer:

the stars which are red in color are cool.

Explanation:

The stars which has reddish color are cool in nature while those stars which has white and blue in color are very hot in nature. The stars change its color when they becomes hotter , first the star color reddish when they are cool but with increasing temperature it changes the color from reddish to orange then yellow. After yellow it turns green and finally get blue color when the stars are very very hot.

The question is incomplete. Please read below the missing content.

B) The 4 terrestrial planets have to as soon as were hot sufficient to be molten (like a liquid).

Terrestrial planets may be described as any planet of the sun machine or any exoplanet that is "Earth-like" in the experience that it is composed primarily of metals and rock, in evaluation to a planet that's a fuel large.

In the sun machine, the terrestrial planets are the inner planets closest to the solar, i.e. Mercury, Venus, Earth, and Mars.

Scientists believe that the densest, heaviest substances are at the center and not evenly allotted can be due to the truth that they need to once be warm enough to be molten. In this example, density will take region, making the heavier below and the lighter on the pinnacle.

In the four terrestrial planets, the densest, heaviest materials are at the center and not evenly distributed throughout the planet. Scientists interpret this observation to mean that:

a.the four terrestrial planets must once have been inside the Sun

b.the four terrestrial planets must once have been hot enough to be molten (like a liquid)

c.the four terrestrial planets must have formed where Jupiter and Saturn now are

d.the four terrestrial planets must have collided with each other many times

e.none of the above

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Answer:

Height is 11.25m

Explanation:

Given the following data;

Initial velocity, u = 0

Final velocity, v = 15m/s

Acceleration due to gravity, g = 10m/s²

To find the height, we would use the third equation of motion;

\( V^{2} = U^{2} + 2aS \)

Where;

\( V^{2} = U^{2} + 2aS \)

Making S the subject, we have;

\( S = \frac {V^{2} - U^{2}}{2a}\)

But a = g = 10m/s²

Substituting into the equation, we have;

\( S = \frac {15^{2} - 0^{2}}{2*10}\)

\( S = \frac {225 - 0}{20}\)

\( S = \frac {225}{20}\)

S = 11.25m

Therefore, the ball will reach a height of 11.25m before it begins to fall.

False

Virtual image cannot be caught on a screen

A high-mass star has layers that are arranged in order of b. Temperature for fusion.

The temperature at which a substance transforms from a solid to a liquid is known as its melting point. The solid and liquid phases are in equilibrium at the melting point. Pressure affects a substance's melting point, which is typically reported at a standard pressure such 1 atmosphere or 100 kPa. There are two main categories of fusion reactions: those that maintain the ratio of protons to neutrons and those that convert protons to neutrons. The solid-liquid and liquid-to-gas transitions are connected with the typical heats of fusion and vaporization, respectively, for each substance.

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Answer:

the correct answer is ( head ) just took it

The body loses up to 40 percent of its body heat through the head area.

The heat transferred to the surrounding by the thermal conductive substance per unit time.

40 to 45 percent of human body heat is lost through the head and neck due to increased blood flow as compared to the rest of the body.

Along with the wrists and ankles, this can be 60 percent.

Thus, the body loses up to 40 percent of its body heat through the head area.

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as a blade? murcury because it stays liquid at room temp. it would be a puddle with a hanfle which is like... really dull

If Ben is covering three topics, then he should change to a different slide color each time he changes to a new topic. Option C

The term slide presentation has to do with a presentation that is done by the use a slide program such as Microsoft PowerPoint or any other slide tool that could be used for the purpose of presentation.

Now we know that the aim of the presenter must always be to engage the attention of the audience and make the message as clear as possible.

We know that most people need to use various presentation tools especially for the purpose of academics or in a business setting where someone needs to show facts and data about things on a screen during presentation.

Hence, the statement that makes the most sense as Ben is doing the presentation is that; "If Ben is covering three topics, then he should change to a different slide color each time he changes to a new topic."

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Answer:

Maybe you're hanging out around the wrong crowd. The people you are probably choosing to be around are more quiet then you.

Explanation:

A 1 kg box falls two metres from a shelf and lands on the ground after 0.021 seconds. The box impacted the ground with a force of around 524.7 N.

The box impacted the ground with a force of around 524.7 N.

Explanation: We can determine the force using the equation F = m * (v/t), where m is the box's mass, v is the velocity change (which is the ultimate velocity because the box starts at rest and comes to a halt), and t is the time it takes for the box to stop.

Given that the box falls 2 metres and its terminal velocity is 0 m/s, v = 2 m/s.

524.7 N is equal to F = 1.1 kg * (2 m/s / 0.021 s).

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500kg box slides down a frictionless plane at an angle of 60.0° the normal force on the box is approximately 2450 N.

The acceleration of the box down the plane is determined by the force of gravity pulling the box down the slope. To determine the magnitude of the acceleration, we first need to resolve the gravitational force into its component vectors parallel and perpendicular to the slope.

The force of gravity on the box is given by:

Fg = m*g

where m is the mass of the box and g is the acceleration due to gravity (9.8 m/\(s^2\)).

The component of the force of gravity parallel to the slope is given by:

Fpar = Fg*sin(60.0°)

Fpar = 500 kg * 9.8 m/\(s^2\) * sin(60.0°) ≈ 4286 N

The component of the force of gravity perpendicular to the slope is given by:

Fperp = Fg*cos(60.0°)

Fperp = 500 kg * 9.8 m/\(s^2\) * cos(60.0°) ≈ 2450 N

The net force down the slope is given by:

Fnet = Fpar

Fnet = 4286 N

The magnitude of the acceleration down the slope is given by:

a = Fnet/m

a = 4286 N / 500 kg ≈ 8.57 m/\(s^2\)

Therefore, the magnitude of the box's acceleration down the slope is approximately 8.57 m/\(s^2\).

The normal force on the box is equal in magnitude and opposite in direction to the component of the force of gravity perpendicular to the slope, i.e.,

Fn = Fperp

Fn = 2450 N

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A scientific law is an established principle that explains a phenomenon or behavior in the natural world. It is a concise statement that summarizes the results of many observations and experiments and is widely accepted as true because it has been confirmed over and over again.

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The letter(s) typically used to represent energy density is "U" or "u". Energy density is a measure of the amount of energy stored in a given volume or mass of a substance. It is commonly used in the fields of physics and engineering to describe the amount of energy that can be stored in various materials or systems.

The symbol "U" or "u" is often used to represent energy density in equations and formulas, with the units of energy per unit volume or mass. For example, the energy density of a battery can be expressed in units of joules per cubic meter or watt-hours per kilogram, depending on the specific application.

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Answer:

  D. 3.0 × 10^-6 m

Explanation:

Wavelength is found by dividing the speed of light by the frequency:

  λ = c/f = (3·10^8 m/s)/(1.0·10^14 Hz) = 3.0·10^-6 m

The planet is traveling at 59.7 km/s at perihelion.

The planet's speed at perihelion can be calculated using the conservation of angular momentum.

Since the planet is traveling in an elliptical path, its angular momentum must remain constant. This means that the product of its mass, velocity, and distance from the sun must remain constant.

At aphelion, the planet's velocity is 39 km/s and its distance from the sun is 70 x 10⁹m. Using the conservation of angular momentum, we can write:

m * v_aphelion * d_aphelion = m * v_perihelion * d_perihelion

where m is the mass of the planet, v_aphelion is the velocity at aphelion, d_aphelion is the distance from the sun at aphelion, v_perihelion is the velocity at perihelion, and d_perihelion is the distance from the sun at perihelion.

Solving for v_perihelion, we get:

v_perihelion = (v_aphelion * d_aphelion) / d_perihelion

Plugging in the given values, we get:

v_perihelion = (39 km/s * 70 x 10⁹ m) / (46 x 10⁹ m)

v_perihelion = 59.7 km/s (rounded to two decimal places)

Therefore, At perihelion, the planet is moving at a speed of 59.7 km/s.

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The charge stored on each capacitor is 232.2μC, 232.2μC, and 464.4μC, respectively.

In the given figure, we can see that the capacitors C1 and C2 are connected in parallel, and the capacitor C3 is connected in series with the parallel combination of C1 and C2.

The equivalent capacitance of the parallel combination of C1 and C2 is given by:

Cp = C1 + C2 = 27.0μF + 27.0μF = 54.0μF

The equivalent capacitance of the series combination of Cp and C3 is given by:

1/Cs = 1/Cp + 1/C3 = 1/54.0μF + 1/13.5μF = 0.0185 + 0.0741 = 0.0926

Cs = 1/0.0926 = 10.8μF

The charge stored on the equivalent capacitor Cs is given by:

Q = Cs * V = 10.8μF * 43.0V = 464.4μC

Since the charge on the capacitors in series is the same, the charge stored on C3 is also 464.4μC.

The charge stored on the capacitors in parallel is given by:

Qp = Cp * Vp = 54.0μF * Vp = 464.4μC
Vp = 464.4μC / 54.0μF = 8.6V

The charge stored on each of the capacitors C1 and C2 is given by:

Q1 = C1 * Vp = 27.0μF * 8.6V = 232.2μC
Q2 = C2 * Vp = 27.0μF * 8.6V = 232.2μC

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Answer:

It is not still true that the average velocity of the particle is equal to half the sum of the initial and final velocities when the acceleration of the particle is not constant

Explanation:

The motion of a particle under constant acceleration, 'a', is be given by the following kinematic equations;

v² = u² + 2·a·s

v = u + a·t

Where;

v = The final velocity of the particle

u = The initial velocity of the particle

a = The acceleration of the particle

s = The distance through which the particle travels

t = The time of motion of the particle

By simplifying the above equation, we have;

v² - u² = 2·a·s

(v² - u²)/(2·a) = s

(v - u) × (v + u)/(2 × a) = s

((v - u)/a) × ((v + u)/2) = s

From v = u + a·t, we have;

t = (v - u)/a

∴ ((v - u)/a) × ((v + u)/2) = t × ((v + u)/2) = s

∴ ((v + u)/2) = s/t

The average velocity = (Total distance traveled by the particle) ÷ (The time of travel of the particle)

∴ The average velocity = s/t = ((v + u)/2) = Half the sum of the initial and final velocity

However, it is not still true that the average velocity of the particle is equal to half the sum of the initial and final velocities when the acceleration of the particle, 'a', is not constant, as the velocity time graph is no longer a straight line graph and the distance traveled by the particle, 's', which is the area under the velocity time graph, 'A', (given by the sum of area of the triangle and the rectangle given by the area under straight line graph for constant velocity) cannot be given directly by the product of the time and the average velocity.

The resultant of the two given vectors is 346.4 units.

The resultant of the three vectors is the sum of all the three vectors acting together. The resultant vector is the single vector that will represent all the three vectors in terms of magnitude and direction.

The sum of the vectors in x-direction;

Vx = V cosθ

where;

for 200 units, θ = 0⁰ (above the horizontal)

for 400 units, θ = 60⁰ (above the horizontal)

Vx = 200 cos(0) - 400 cos(60)

Vx = 0

The sum of the vectors in y-direction;

Vy = 200 sin(0) + 400 sin(60)

Vy = 346.4 units

The resultant vector is calculated as;

V = √(Vx² + Vy²)

V = √(0² + 346.4²)

V = 346.4 units

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Answer:

what is the question? there isn't one

When a charged capacitor is disconnected from a battery and the area of the plates is decreasing, the electric field in the capacitor is increasing.

This can be explained by considering the relationship between the electric field, the charge on the plates, and the area of the plates.The electric field in a capacitor is given by the formula E = Q / (ε₀A), where E represents the electric field, Q is the charge on the plates, ε₀ is the permittivity of free space, and A is the area of the plates. When the capacitor is disconnected from the battery, the charge on the plates remains constant. However, as the area of the plates decreases, the denominator in the formula for the electric field (ε₀A) decreases. Since the charge remains the same, this reduction in the denominator results in an increase in the electric field E.

In simpler terms, the electric field in a capacitor is inversely proportional to the area of the plates. As the area decreases, the electric field strengthens. This occurs because the same amount of charge is now concentrated on a smaller surface area, leading to a higher electric field intensity between the plates. Therefore, when a charged capacitor is disconnected from a battery and the area of the plates is decreasing, the electric field in the capacitor increases due to the concentration of charge on a smaller surface area.

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The characteristic of newborn appearance is fine body hair called lanugo, blue or grayish skin color swelling and so on, which means all of the above statement is correct.

The biological process by which brand-new, distinct organisms—their "offspring"—are formed from their "parent" or "parents" is known as reproduction (often referred to as procreation, breeding, fertilization). Every individual organism on Earth exists as a result of reproduction, which is a fundamental element of all life as we currently understand it. Asexual and sexual development are the two types of reproduction.

Without the assistance of another organism, an organism can reproduce through asexual reproduction. Not just single-celled organisms can asexually. Asexual reproduction takes place during the cloning of an organism. An organism makes a replica of itself that is genetically identical to it through asexual reproduction. Biologists struggle to understand how sexual reproduction evolved.

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Temperature. The average kinetic energy of the molecules of an object is related to its temperature.

Kinetic energy is the energy of an object in motion. It is the energy associated with the movement of an object or particle, and it is equal to the work done by a force on an object to put it into motion. Kinetic energy is often referred to as the energy of motion and can be found in many forms, from the energy stored in objects such as a car or truck to the energy stored in the movement of electrons within an atom.

As the average kinetic energy of the molecules increases, the temperature of the object increases. Thus, a change in the average kinetic energy of the molecules of an object can be detected by measuring a change in the object's temperature.

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