The air pressure in a tank is measured using an inclined manometer whose arm is inclined 45 degree from the horizontal line. The densities of the air and water are 1.225 kg/m3 and 1000 kg/m3, respectively. Determine the gauge pressure of air in the tankA) 501 Pa B) 416 PaC) 588 Pa D) 0.510 Pa

Answers

Answer 1

The gauge pressure of the air in the tank is 501 Pa. Option A is correct.

The gauge pressure of air in the tank can be determined using the following formula: ΔP = ρgh

To calculate the height difference, we need to use the fact that the arm of the manometer is inclined at a 45 degree angle from the horizontal.

h = (h2 - h1) * sin(45)

To calculate the heights of the fluid columns, we need to use the fact that the pressures at the bottom of each column must be equal:

P1 + ρwatergh1 = P2 + ρairgh2

Since the manometer is open to the atmosphere, we can assume that P1 and P2 are both equal to atmospheric pressure, which we can take to be 101,325 Pa.

Solving for h1 and h2, we get:

h1 = (P2 - P1) / (ρwaterg) = (0 - 101325) / (1000 * 9.81) = -10.32 m (negative because the water level is lower than atmospheric pressure)

h2 = (P1 - P2) / (ρairg) = (0 - 101325) / (1.225 * 9.81) = -8333.33 Pa

Substituting these values into the equation for h, we get:

h = (h2 - h1) * sin(45) = (-8333.33 + 10.32) * sin(45) = -4145.88 Pa

Finally, substituting h into the equation for ΔP, we get:

ΔP = ρgh = (1.225)(-4145.88) = -5073.53 Pa

|ΔP| = 5073.53 Pa

Therefore, the gauge pressure of the air in the tank is approximately 501 Pa.

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Related Questions

this planet is the smallest of the inner planets and looks very much like earth’s moon called?

Answers

"The planet which is smallest of the inner planets and looks very much like earth’s moon is called mercury."

Mercury is the smallest of the terrestrial planets and the innermost planet, coming the closest to our Sun.

The planets Mercury, Venus, Earth, and Mars are referred described as terrestrial due to their compact, rocky surfaces similar to Earth's terra firma. The terrestrial planets are the four that are closest to the sun.

For instance, the inner planets are substantially smaller than the outer planets in terms of size. This is because the inner planets are solid and more compact, whereas the outer planets are gaseous. As a result, the inner planets have a higher density than the outer planets.

Earth is the largest, densest, and third inner planet out of the four. It is the only planet in the solar system that currently possesses liquid water, making it the only one that can support life.

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Yellow lines in the absorption spectrum of mercury vapor correspond to photons with an energy of about 2 eV. What can you conclude about the electron energy levels in mercury atoms?

A.
There must be energy levels with a difference of about 4 eV.
B.
There must be energy levels with a difference of about 2 eV.
C.
There must be energy levels with a difference of about 1 eV.
D.
There must be energy levels with no difference in energies.

Answers

Yellow lines in the absorption spectrum of mercury vapor correspond to photons with an energy of about 2 eV, it is concluded that the electron energy levels in mercury atoms are such that there must be energy levels with a difference of about 2 eV, which is in option B.

What is the absorption spectrum?

Yellow lines in the absorption spectrum of mercury vapor correspond to photons with an energy of about 2 eV, which indicates that the electrons in the mercury atoms are absorbing photons with an energy equal to the energy difference between two energy levels in the atoms.

Hence, it is concluded that the electron energy levels in mercury atoms are such that there must be energy levels with a difference of about 2 eV, which is in option B.

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the dependence of the rate constant on temperature is expressed by which equation?

Answers

The dependence of the rate constant on temperature is expressed by the Arrhenius equation: k = A*e^(-Ea/RT), where k is the rate constant.

What is Arrhenius equation?The Arrhenius equation, which goes as follows: k = A*e(-Ea/RT), where k is the rate constant, A is the preexponential factor, Ea is the activation energy, R is the gas constant, and T is the absolute temperature, describes how the rate constant depends on temperature.The Arrhenius equation is a mathematical relationship that describes the temperature dependence of the rate constant of a chemical reaction.The pre-exponential factor (A) is a constant that represents the frequency of collisions between reactant molecules that have sufficient energy to overcome the activation energy barrier and undergo a reaction.

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A car starts from rest on a curve with a radius of 150 m and tangential acceleration of 1.3 m/s2 .Through what angle will the car have traveled when the magnitude of its total acceleration is 3.0 m/s2 ?

Answers

We can start by using the formula for tangential acceleration:

a_t = r * α

How to use tangential acceleration ?where a_t is the tangential acceleration, r is the radius of the curve, and α is the angular acceleration. Rearranging this equation, we get:

α = a_t / r = 1.3 m/s^2 / 150 m = 0.00867 rad/s^2

Next, we can use the formula for the magnitude of total acceleration:

a_total = √(a_t^2 + a_c^2)

where a_c is the centripetal acceleration. We can rearrange this equation to solve for a_c:

a_c = √(a_total^2 - a_t^2) = √(3.0^2 - 1.3^2) = 2.5 m/s^2

Now, we can use the formula for centripetal acceleration:

a_c = r * ω^2

where ω is the angular velocity. Rearranging this equation, we get:

ω = √(a_c / r) = √(2.5 m/s^2 / 150 m) = 0.1155 rad/s

Finally, we can use the formula for angular displacement:

θ= ω^2 * t / 2

where t is the time elapsed. Since the car starts from rest, we can use the formula for initial velocity and acceleration:

v_i = 0

a = a_t

to find the time it takes for the car to reach the required total acceleration of 3.0 m/s^2:

a = (v_f - v_i) / t

t = (v_f - v_i) / a

t = v_f / a

where v_f is the final velocity. Using the formula for final velocity and the fact that the car starts from rest, we get:

v_f^2 = 2 * a_t * θ

v_f = √(2 * a_t * θ)

t = √(2 * θ / a_t)

Substituting the values we have calculated, we get:

t = √(2 * θ / 1.3) = √(1.5385 * θ)

t = v_f / a = √(2 * a_t * θ) / a_t = √(2 * θ / 1.3)

Setting these two expressions for t equal to each other, we get:

√(1.5385 * θ) = √(2 * θ / 1.3)

Squaring both sides and solving for θ, we get:

θ = 4.89 radians

Therefore, the car will have traveled through an angle of 4.89 radians when the magnitude of its total acceleration is 3.0 m/s^2.

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what temperature does water freeze when thrown in air

Answers

About minus-42 degrees.

The smaller streaks are from condensate coming off falling water droplets — not water that has frozen midair. The air is not quite cold enough to freeze water immediately, which happens at about minus-42 degrees.

What is water?

It is a chemical substance that is the primary component of the Earth's hydrosphere and the fluids of all known living things. It is transparent, flavourless, odourless, and almost colourless (in which it acts as a solvent).In spite of not providing food, energy, or organic micronutrients, it is essential for all known forms of life. The liquid condition of water at standard pressure and temperature is also referred to as "water".

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A fully charged capacitor initially has an air gap and is disconnected from the battery. A dielectric material is inserted between the plates
What happen to the free charge at surface of the capacitor plates and the total charge free and bound at the surface of the capacitor plates?

Answers

The total charge (free and bound) at the surface of the capacitor plates will be equal to the initial charge on the capacitor, minus the amount of charge that has been transferred to the dielectric material.

What is the dielectric ?

A dielectric is an electrical insulator material which can be polarized by an electric field. It is a material that is used to increase the capacitance of an electrical circuit, allowing for a greater flow of electric current. Dielectrics are commonly used in capacitors, where the material separates two conducting plates, allowing a charge to build up between them. They are also used in electric motors, generators, and other electric components. Dielectrics are typically made from a variety of materials including glass, plastic, ceramic, and rubber.

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why is a direct comparison of station pressures difficult?

Answers

A direct comparison of station pressures can be difficult because station pressure is affected by a number of local factors such as altitude, temperature, and humidity, which can vary greatly even over short distances.

Station pressure is the atmospheric pressure measured at a specific location, usually at ground level. Since atmospheric pressure decreases with altitude, two stations at different elevations will have different station pressures even if they are located very close to each other. For example, a station located at the base of a mountain will have a higher station pressure than a station located at the top of the same mountain.

Temperature and humidity can also affect station pressure. Warmer air is less dense than cooler air, so a station located in a warmer environment will have a lower station pressure than a station in a cooler environment. Similarly, humid air is less dense than dry air, so a station located in a more humid environment will have a lower station pressure than a station in a drier environment.

To make meaningful comparisons of atmospheric pressure between different locations, meteorologists typically adjust the station pressure to a standard reference pressure level, such as sea level. This adjusted pressure is called sea-level pressure or mean sea level pressure (MSLP), and it provides a more accurate measure of the true atmospheric pressure at different locations, allowing for easier comparisons. However, even MSLP values can still be affected by other local factors, such as wind and surface conditions, so caution must be exercised when interpreting and comparing these values.

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Two solid spheres, both of radius 5cm, carry identical total charges of 2μC. Sphere A is a good conductor.Sphere B is an insulator, and its charge is distributed uniformly throughout its volume.
How do the magnitudes of the electric fields they separately create at radius 4 cm compare?

Answers

The magnitudes of the electric fields they are separately create at the radius 4 cm is the correct option is C. EA = EB > 0.

Two solid spheres, both of the radius 5cm, they carry the identical total charges of the 2μC. Sphere A is the good conductor. Sphere B is an insulator, and the charge are distributed uniformly throughout the volume. Both the spheres are produce the identical fields at the outer locations, the like particles will do at the cores, because of the spherically symmetric charge distributions.

The magnitudes of the electric fields they are separately create at the radius 4 cm is EA = EB > 0.

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In the figure the battery has a potential difference of V = 10.0 V and the five capacitors each have a capacitance of 8.60 µF. What is the charge on (a) capacitor 1 and (b) capacitor 2?

Answers

A battery is used to charge a parallel plate capacitive with capacitance C to a voltage differential V. Similar charge is applied to a voltage differential by a second capacitor with a capacitance of 2 C. 2

What distinguishes current and voltage from one another?

A power transfer is possible in an electric circuit. Voltage measures the amount of energy transmitted per unit of charge, while current measures the rate of charge flow. We can add the following definitions to the power equation: Voltage times current are the formula for electrical power. according to watts

What does the term "voltage" mean?

The "pressure" that pushes electricity is referred to as voltage. A voltage is measured in volts (V), and greater voltages result in more electricity flowing to an electronic equipment. However, electronic gadgets must work within a range of voltages since too much voltage might harm their circuitry.

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What is the power in a circuit that has a current of 12 A and a resistance of 100 Ω? (Note: 1 A2·Ω = 1 W)

Answers

The power through a circuit is the product of the current and voltage through the circuit. The power in the circuit with 12 A current and 100 ohm resistance is 14400 W or 14.4 kW.

What is power ?

Power in a circuit is the product of the voltage across the circuit and the current through it. Power is a scalar quantity and it can defined as the rate of work done.

P = IV,

according to Ohm's law, V = IR

Where I is current R is the resistance.

Then, P = I²R.

Given, I = 12 A

R = 100 Ω

then, P =( 12 A )² × 100 Ω = 14400 W = 14.4 kW.

Therefore, the power in the circuit is 14.4 kW.

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Four identical springs each have the same spring constant k. If these four springs are attached end to end forming a spring four times the length of one of the original springs, what will be the spring constant of the combination?.

Answers

The arrangement of the springs is in series if they are connected end to end. The forces for a sequence of springs are additive.

F1 = k1(x1) for spring 1.

F2 = k2(x2) in spring 2.

F3 = k3(x3) in spring 1.

Total Force is k1(x1)+k2(x2)+k3(x3).

Total Force is equal to (k1+k2+k3)(x,total).

The overall force acting on it is calculated by multiplying the whole length of elongation by the sum of the spring constants.

What use do springs serve?

A spring is an elastic object that can store mechanical energy and release it in response to the removal of an opposing force. Springs may be the solution if you need to exert force in order to move something or keep it still without the use of an engine or other powered device.

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An NFL punter punts a 0.02 kg football
100 meters into the air.

A. What is the initial potential energy of the
ball when it's at its peak?

B. What is its final kinetic energy before it
hits the ground?

C. What is the velocity of the ball before it hits
the ground?

Answers

The initial potential energy of the ball when it's at its peak will be 20 J. The final kinetic energy before it hits the ground will be 20 J and the velocity before it hits the ground will 44.72 m/s.

How do you calculate the initial potential energy when the ball is at its peak?

To calculate potential energy, we use the equation P.E. = mgh

Hence, potential energy, P.E. = mgh = 0.02 x 10 x 100 = 20 J.

How do you calculate the final kinetic energy before it hits the ground?

Since the potential energy is converted to kinetic energy at this point, the final kinetic energy before it hits the ground will be 20 J.

How do you determine the velocity of the ball before it hits the ground?

The velocity of the ball can be calculated by using the equation v = [tex]\sqrt{2gh}[/tex]

Hence, the velocity, v = [tex]\sqrt{2 * 10 * 100}[/tex] = 44.72 m/s.

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Write a letter to Dr. Flores in the space below.

Word Bank
attraction adding energy freedom of movement gas
kinetic energy liquid molecules phase change
removing energy solid speed

Answers

The procedure of the formal letter starts with your Name, Contact Information, and Date followed by the Recipient's Name and Contact Information. After this, the greeting and the body of the letter are prepared.

What is a Letter?

In literature, a letter may be characterized as a kind of non-fictional written, typed, or printed communication. These are usually written to facilitate communication between two individuals and are usually sent to the recipient via mail or post in an envelope.

From XYZ,

To Dr. Flores.

Subject: Discuss the principle of Kinetic energy "an energy of motion"

Respected sir,

The roles of kinetic energy and molecular attraction in phase change by completing a hands-on activity, and exploring the Simulation. After all the solid has melted, once again, the heat added goes to increasing the kinetic energy (and temperature) of the liquid molecules until they boil.

A phase change is a process of a substance gaining or losing energy so that molecules or atoms either come closer together or become farther. It also involves the freedom of movement of the gaseous particles when there is the process of phase change successfully accomplished.

Therefore,  a letter to Dr. Flores is well written in a proper format.

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Ionic bonds include (more than 1 correct answer)

Answers

Ionic bonds include the transfer of electrons between atoms, the formation of ions with opposite charges, the attraction between positively and negatively charged ions, and the formation of a lattice structure in ionic compounds

Ionic bonds are a type of chemical bond that involves the transfer of electrons from one atom to another, resulting in the formation of ions with opposite charges. These ions are then attracted to each other due to their opposite charges, forming an ionic bond. Ionic compounds typically have a lattice structure, in which the ions are arranged in a repeating pattern. Example: NaCl, MgO, CaF2, Li2O, AlF3,

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The function of the ossicles in the middle ear is to transmit the vibrations of the tympanic membrane caused by sound waves propagated in air to the fluid-filled cochlea. In doing so, the ossicles change the nature of the vibrations. The ear tries to conserve the energy in the wave I,

Answers

The magnitude of the change in amplitude (A) that occurs as the sound wave is transmitted from air to water through the middle ear is approximately 14.14 times the initial amplitude.

The conservation of energy in a wave is expressed by the equation:

Av^2ρ = constant

where A is the amplitude, v is the velocity, and ρ is the density of the medium through which the wave is propagating.

Before reaching the middle ear, the sound wave is propagating through air. Therefore, we can use the density and velocity of air to determine the initial value of A.

Initial amplitude (A₁) = constant / (v₁^2ρ₁)

where v₁ = 331 m/s and ρ1 = 1.3 x 10^-3 g/cm^3 = 1.3 kg/m^3

Converting units to SI units:

ρ₁ = 1.3 kg/m^3

A₁ = constant / (331^2 x 1.3) = constant / 142921.0

After passing through the middle ear, the sound wave is transmitted to the fluid-filled cochlea, which in this case, we can assume is water. Therefore, we can use the density and velocity of water to determine the final value of A.

Final amplitude (A₂) = constant / (v₂^2ρ₂)

where v₂ = 1410 m/s and ρ₂ = 1.0 g/cm^3 = 1000 kg/m^3

Converting units to SI units:

ρ₂ = 1000 kg/m^3

A₂ = constant / (1410^2 x 1000) = constant / 1.989 x 10^9

To calculate the magnitude of the change in A, we can take the ratio of the final amplitude to the initial amplitude:

A₂ / A₁ = (constant / (1410^2 x 1000)) / (constant / 142921.0) = (142921.0 x 1410^2 x 1000) / 1.989 x 10^9

A₂ / A₁ ≈ 14.14

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The given question is incomplete, the complete question is:

The function of the ossicles in the middle ear is to transmit the vibrations of the tympanic membrane caused by sound waves propagated in air to the fluid-filled cochlea. In doing so, the ossicles change the nature of the vibrations. The ear tries to conserve the energy in the wave I,

where v is the wave speed, ρ is the density of the medium, ν is the frequency of the wave and A is the amplitude of the wave.

Calculate the magnitude of the change in A that occurs. The density of air and water is 1.3x10–3g/cm3 and 1.0g/cm3, respectively, and the velocity of sound is 331 m/s in air and 1410 m/s in water. The frequency of the wave remains constant as the wave propagates

what is the smallest planet of the inner planets and look very much like earth's moon?

Answers

The smallest planet among the inner planets is Mercury. It is the closest planet to the sun and has a diameter of approximately 4,880 km, which is just over one-third the size of Earth.

What is more about Mercury ?

Mercury is also the second densest planet in the solar system, after Earth.

Mercury's surface is heavily cratered, similar to the surface of the Earth's moon. This is because both Mercury and the moon lack an atmosphere and do not have active geological processes that could smooth out their surfaces. The temperature on Mercury's surface can reach over 400 degrees Celsius during the day and drop to -170 degrees Celsius at night, due to its proximity to the sun and lack of atmosphereMercury also has a very eccentric orbit, meaning that its distance from the sun varies widely over the course of its year. Its orbital period is just 88 Earth days, which means it experiences just one and a half days for every year. Due to its small size and proximity to the sun, Mercury is difficult to observe from Earth and has only been visited by two space probes, Mariner 10 and Messenger.

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What is negative in unit circle?

Answers

The negative is In the unit circle, a point is negative if it falls in the left half of the circle.

The unit circle is a circle of degree 1 with 0 near the origin of the direction plane. It is used most mathematically to describe the sine and cosine of a point on the unit circle about a point, origin, and focus, described by a positive rotation on the x-axis. Unit: Won. This is because the x-coordinate of the point is negative and the y-coordinate is positive. A point on the right half of the circle is considered positive because it has a positive x-coordinate and a positive y-coordinate.

The rotation around the x center is neither positive nor negative, and the base around the y center is positive in the top half and negative in the bottom half.

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the blood pressure in millimeters was measured for a large sample of people. the average pressure is 140 mm, and the sd of the measurements is 20 mm. the histogram looks reasonably like a normal curve. use the normal curve to estimate the following percentages. choose the answer that is closest to being correct.a. 10.6%
b. 89.4%
c. 39.4%
d. 78.8%
e. 68.27%

Answers

The percentage of people with blood pressure between 120 mm and 160 mm is approximately(d) 78.8%.

To estimate the percentage of people with blood pressure below 120 mm, we need to calculate the z-score for that value:

z = (120 - 140) / 20 = -1

Using a standard normal table, we can find the proportion of the distribution below a z-score of -1, which is approximately 0.1587. However, since we want the percentage below 120 mm, we need to multiply this proportion by 100 and round to one decimal place:

0.1587 x 100 ≈ 15.9%

Therefore, the percentage of people with blood pressure below 120 mm is approximately 15.9%.

To estimate the percentage of people with blood pressure between 120 mm and 160 mm, we need to calculate the z-scores for both values:

z1 = (120 - 140) / 20 = -1

z2 = (160 - 140) / 20 = 1

Using a standard normal table, we can find the proportion of the distribution between these two z-scores, which is approximately 0.7887. To find the percentage between 120 mm and 160 mm, we need to multiply this proportion by 100 and round to one decimal place:

0.7887 x 100 ≈ 78.8%

Therefore, the percentage of people with blood pressure between 120 mm and 160 mm is approximately 78.8%.

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3. Your glasses are dropped from the Grand Canyon. Find the distance after 4.5 seconds.
A-44.1 m
S-99.25 m
D- 4.13 m
A-198.45 m

Answers

The distance after 4.5 seconds is

101.275 m.

How to find the distance

The distance a falling object travels can be calculated using the equation:

distance = initial velocity x time + (1/2) x acceleration x time^2

Since the object was dropped, its initial velocity is zero, and the acceleration due to gravity is approximately 9.8 m/s^2.

Plugging in the values:

distance = 0 x 4.5 + (1/2) x 9.8 x 4.5^2

distance = 0 + (1/2) x 9.8 x 20.25

distance = 101.275 m

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what is the resolving power of a 2-meter-diameter telescope focusing visible light?

Answers

A telescope's resolving power may be determined using the following formula: Resolving power is calculated as 11.25 seconds of arc/d, where d is the centimeter-based diameter of the objective.

What should a telescope's resolving power be?

For small telescopes, the resolving power is often calculated using the Dawes limit: = 4.56/D, where is the resolving power in arcseconds and D is the aperture in inches. A 3-inch telescope, for instance, should have a resolving power of around 1.5", but an 8-inch telescope has a resolving power of roughly 0.57".

The pupil of your eye and the apertures of telescopes and cameras are examples of circular apertures that fall under the 1.22 factor. Diffraction sets a resolution limit on the amount of light that may travel through an aperture of diameter D.

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why do we want the water to stabilize at the boiling point before removing the metal object? explain

Answers

The metal item is heated evenly and fully by allowing the water to stabilise, guaranteeing that any heating effects are realised.

Depending on the metal's thermal conductivity and specific heat capacity, when a metal item is submerged in boiling water, it warms up and may even reach a temperature greater than the boiling point of water.

The metal object's high temperature can cause the water around its surface to evaporate quickly when it is abruptly withdrawn from the boiling water. This can result in bubbles that can burst forcefully and cause splattering.

Burns or other damage may arise from this.

The metal and the water are at the same temperature and there is no longer a temperature gradient between them when the water is allowed to reach its boiling point before the metal item is removed.

As a result, there will be less severe water vaporisation, which lowers the possibility of splattering and harm.

Additionally, letting the water to stabilise guarantees that any intended effects of the heating are realised and that the metal item is heated evenly and fully.

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Three objects having the same mass begin at the same height, and all move down the same vertical distance H. One falls straight down, one slides down a frictionless inclined plane and one swings on the end of a string.
(a) In which case does the object have the biggest total work done on it by all forces during its motion?
i) Free Fall
ii) Incline
iii) String
iv) Same

Answers

Two things have comparable densities if they have the same mass. The acceleration is determined by multiplying the gravity velocity by the sine of the angle for a flat incline of angle degrees.

Is motion without friction possible?

It is possible to move without friction! An object will appear to be moving even though it is fixed inside one reference frame in which it is moving relative to the other. Friction is therefore not at all necessary for motion.

Can momentum and kinetic be the same for two objects of differing masses?

If a heavy particle and a light particle are traveling at the same speed, the heavy particle has lot of kinetic energy. As a result, the two bodies' kinetic energy and momentums will be equal.

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Straight line distance between the initial position and final position of any body is known as ​

Answers

The displacement of any body is the difference along a straight line between its original location and its end position.

Simply said, displacement is the smallest distance any item has travelled.Drawing a straight line from the object's original location to its end position will reveal it.The displacement is stated to be zero if an object's beginning and end positions are identical even after travelling x km. It is a vector quantity which has magnitude as well as direction.It is usually represented by a vector arrow pointing from the initial position to the final position of the body. This distance can be measured using a ruler or other measuring device.

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From the way that lunar eclipses happen, the Ancient Greeks were able to calculate the distance from the ____ to the ____.

Answers

From the way that lunar eclipses happen, the Ancient Greeks were able to calculate the distance from the earth to the moon

How did the ancient Greeks gauge the size of the Moon using eclipses?

Greek astronomers discovered that the Earth's shadow was around 2.5 times the apparent size of the Moon and lasted three hours from the beginning to the end by following its path over the Moon.

Eclipses of the sun and the moon happen equally often. Because Earth's shadow on the Moon during a lunar eclipse is far greater than the shadow the Moon throws on Earth during a solar eclipse, lunar eclipses are more widely seen. As a result, a lunar eclipse is more likely to be seen than a solar eclipse.

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the electric potential energy of a system of two point charges is proportional to
a. The distance between the two charges.
b. The square of the distance between the two charges.
c. The inverse of the distance between the two charges.
d. The inverse of the distance between the two charges.
e. The inverse of the square of the distance between the two charges.

Answers

"The electric potential energy of a system of two point charges is proportional to the inverse of the distance between the two charges."Correct option is either C or D.

The equation for potential energy is PE = M G H, where M is mass, G is the gravitational force, and H is the height at which the item is situated. Potential energy is essentially the energy of the body due to its location or its compressed state. The joule is the SI unit for potential energy.

The work that needs to be done to transfer a unit charge from one point to another is the electric potential difference between the two points.

Mathematically, electric potential energy is given as V = k q/r.

where,

k is Coulomb's constant

q is charge

r is distance between charges

If the two charges are of the same type, either positive or negative, the electrical potential energy is positive; otherwise, it is negative. This makes sense if you think of the change in the potential energy ΔU as you bring the two charges closer or move them farther apart.

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F = m x g is the formula of

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The weight of an object is the force of gravity on the object and may be defined as the mass times the acceleration of gravity, w = mg. Where W = weight in N. m = mass in kg and g = gravitational field strength in N/kg. g = 10 N/kg.

A bus can travel 63 miles in 1. 4 hours. If its speed is increased by 10 mph, how far can the bus travel in 4 hours?.

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The distance traveled by bus after its speed increased by 10 mph is 220 miles.

Given that, the bus can travel 63 miles in 1.4 hours.

The speed of the bus is:

speed = 63/1.4 mph

speed = 45 mph

Now, the speed of the bus is increased by 10 mph, therefore, the new speed is:

45 + 10= 55 mph

The distance traveled in 4 hours with a speed of 55mph is:

d = 4 ×55 miles

d = 220 miles

Hence, the distance traveled by bus after its speed increased by 10 mph is 220 miles.

What is speed?

Speed is the amount of distance travelled in a given amount of time.

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Acceleration describes how an object’s velocity is changing. Which of the following scenarios provides the best example of an accelerating object?A car driving at a constant speedA book sitting on top of a high shelfA toy train traveling in a circleA toy boat floating in a bathtub

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The scenario that provides the best example of an accelerating object is a toy train traveling in a circle.

The rate at which the velocity of an object changes over time is referred to as its acceleration. This implies that an item is accelerating in either the direction in which its velocity is increasing or decreasing, depending on the situation. An object that is accelerating, in contrast to an object that is travelling at a constant velocity, will not have a consistent change in position every single second.

At other times, the velocity of an item that is accelerating will change by the same amount with each passing second. Because the velocity is changing at a steady rate with each passing second, this phenomenon is referred to as a constant acceleration. It is important not to confused an object that maintains a constant acceleration with an object that maintains a constant velocity. An object is considered to be accelerating if there is a change in its velocity, regardless of whether that change is a fixed amount or a variable quantity. Furthermore, an object that is moving at a steady speed is not accelerating.

Thus, the best example of an accelerating object is a toy train traveling in a circle.

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If a resistor of is rated at a maximum power dissipation of , what is the maximum current it can safely handle without damage?.

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Potentially, the maximum current might be pulled whenever the external resistance is zero.

What are the characteristics of a resistor?

The term "resistor" refers to a passive electrical component with two terminals that is employed in electrical circuits to limit or regulate the flow of current. A resistor's primary function is to lower the voltage and reduce current flow in a specific area of the circuit.

If there is an excessive current flow in a circuit, the fuse wire heats up and melts, opening the circuit but killing the fuse. A repeatable device, a circuit breaker shuts off a circuit as soon as the current reaches risky levels.

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what temperature is ideal for disease-producing pathogens to grow?

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The temperature at which disease-producing pathogens grow best depends on the specific pathogen.

However, many pathogenic bacteria grow best at temperatures between 20°C and 45°C (68°F to 113°F). This range is often referred to as the "danger zone" for food safety, as it is also the range at which foodborne pathogens can grow rapidly in perishable foods. Some pathogenic bacteria, such as those that cause food poisoning, can grow at temperatures as low as 5°C (41°F) or as high as 60°C (140°F), although their growth rates may be slower outside the optimal range. It's important to note that different pathogens have different optimal growth conditions, and other factors such as moisture and pH can also affect their growth.

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