Suppose that two objects exert a gravitational force of 22 n on one another. What would that force be if the mass of one of the objects were doubled?.

Answers

Answer 1

The force of magnitude 22N will also be double to a magnitude of 44N when the mass of one of the bodies is doubled.

The gravitational force of any two bodies is given by,

F = GMm/R²

Where,

M and m are the masses of the bodies,

R is the distance between them and G is the universal gravitational constant.

Currently the force of gravitation between two bodies is given to be 22N.

Now, if one of the mass is doubled, let say M = 2M, so the new force will be,

F' = G(2M)m/R²

F' = 2GMm/R²

Putting F = GMm/R²,

F' = 2F

So, the force of gravitation between the two bodies will be doubled. So, the new force will be 44N.

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Related Questions

the energy being used to do work is called energy and is the energy of motion.

Answers

The energy being used to do work is called kinetic energy, which is the energy of motion. Kinetic energy is a measure of the amount of energy an object possesses due to its motion.

What is kinetic energy?

The energy being used to do work is called kinetic energy, which is the energy of motion. Kinetic energy is a measure of the amount of energy an object possesses due to its motion.

Kinetic energy is a type of energy that an object possesses as a result of its motion. It is the energy associated with an object's movement or the energy that is being used to do work. Kinetic energy is proportional to the mass of an object and to the square of its velocity.

The formula for calculating the kinetic energy of an object is:

[tex]\mathrm{ KE = 0.5 \times m \times v^2 }[/tex]

where:

KE is the kinetic energy,

m is the mass of the object, and

v is its velocity.

In physics, kinetic energy is an important concept in the study of motion, energy, and work. It plays a crucial role in many areas of physics, including mechanics, thermodynamics, and quantum mechanics, among others.

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2 kg of steam at a pressure of 1 bar is contained in a rigid sealed tank whose volume is 3. 97 m3. The steam begins to cool off as heat is transferred to the atmosphere. When the internal pressure reaches 10 kPa, the tank walls will collapse.

a) What is the initial temperature of the steam in the tank (°C)?

b) What will the temperature be in the tank when the walls collapse (°C)?

c) At the instant of collapse, how many kg of water are in the liquid state?

d) What is the total change in internal energy (kJ) for the process? Does ????U increase or decrease?

Answers

According to the statement, about the internal pressure of the collapsing tank walls, we answer the following questions:

a) The initial temperature of the steam in the tank can be found using the ideal gas law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature. Rearranging the equation and solving for T gives:

T = PV/(nR)

Plugging in the given values:

T = (1 bar)(3.97 m3)/[(2 kg)/(0.018 kg/mol)(8.314 J/mol·K)]

T = 530.5 K

Converting to degrees Celsius:

T = 530.5 K - 273.15 K = 257.35°C

Therefore, the initial temperature of the steam in the tank is 257.35°C.

b) The temperature at the instant of collapse can be found using the same equation, but with the pressure at 10 kPa:

T = (10 kPa)(3.97 m3)/[(2 kg)/(0.018 kg/mol)(8.314 J/mol·K)]

T = 11.87 K

Converting to degrees Celsius:

T = 11.87 K - 273.15 K = -261.28°C

Therefore, the temperature in the tank when the walls collapse is -261.28°C.

c) At the instant of collapse, the amount of water in the liquid state can be found using the equation:

n = PV/RT

where n is the number of moles of water, P is the pressure, V is the volume, R is the ideal gas constant, and T is the temperature. Plugging in the values at the instant of collapse:

n = (10 kPa)(3.97 m3)/[(8.314 J/mol·K)(11.87 K)]

n = 4.02 mol

Converting to kilograms:

m = (4.02 mol)(0.018 kg/mol) = 0.07236 kg

Therefore, at the instant of collapse, there are 0.07236 kg of water in the liquid state.

d) The total change in internal energy can be found using the equation:

ΔU = nCvΔT

where ΔU is the change in internal energy, n is the number of moles of gas, Cv is the specific heat capacity at constant volume, and ΔT is the change in temperature. Plugging in the values:

ΔU = (4.02 mol)(20.8 J/mol·K)(-261.28 K - 257.35 K)

ΔU = -54,340 J = -54.34 kJ

Therefore, the total change in internal energy for the process is -54.34 kJ. Since the change in internal energy is negative, this means that the internal energy decreases during the process.

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Indicate what happens when light strikes each type of matter listed below:

T = transmits straight through
B = refracts (bends)
R = reflects
A = absorbs

1) empty space (vacuum)
2) water in an aquarium
3) soil on a hillside
4) a glass window in a car
5) a brick wall
6) a lens in a camera
7) a mirror on a wall
8) water in a swimming pool
9) a roof covered with snow
10) a black shirt

Answers

The behavior of light, when it travels through the listed matters, can be found below.

The behavior of light upon striking surfacesEmpty space (vacuum): Light travels straight through it (T).Water in an aquarium: Light enters and refracts (bends) due to the change in density between air and water (B).Soil on a hillside: Light may reflect off the surface or be absorbed into the soil (R or A).A glass window in a car: Some light is transmitted through the window, some are reflected off the surface, and some are refracted as it passes through the glass (T, R, and B).A brick wall: Light may reflect off the surface or be absorbed into the wall (R or A).A lens in a camera: Light passes through and is refracted by the lens to form an image (B).A mirror on a wall: Light reflects off the mirror's surface (R).Water in a swimming pool: Light enters and refracts due to the change in density between air and water (B).A roof covered with snow: Light may reflect off the surface or be absorbed into the snow (R or A).A black shirt: Light is absorbed by the shirt's pigments, which do not reflect any color (A).

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How much work is required to set up the four-charge configuration of the figure if q=3.12 pC, a = 46.5 cm, and the particles are initially infinitely far and at rest? Number units The number of significant digits is set to 3; the tolerance is +/-2%

Answers

The amount of work required to set up the four-charge configuration is 3.62 x 10⁻¹⁰ J.

How to calculate four-charge configuration?

To calculate the work required to set up the four-charge configuration, you need to calculate the potential energy of the system. The potential energy of a system of point charges is given by the formula:

U = k × ∑(qi × qj) / rij

Where k is Coulomb's constant (8.99 x 10⁹ N × m² / C²), qi and qj are the charges of the particles, and rij is the distance between them.

In this case, the four charges are located at the four corners of a square with side length a. The distance between each pair of charges is equal to the diagonal of the square, or √2 × a.

The total potential energy of the system can be calculated as:

U = k × (q² / (√2 × a)) + k × (q² / (√2 × a)) + k × (q² / (√2 × a)) + k × (q² / (√2 × a))

U = 4 × k × (q² / (√2 × a))

Substituting the given values:

U = 4 x 8.99 x 10⁹ N × m² / C² x (3.12 x 10⁻¹² C)² / (√2 x 46.5 cm)

U = 3.62 x 10⁻¹⁰ J

So, the work required to set up the four-charge configuration is 3.62 x 10⁻¹⁰ J.

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What is one defining feature that separates comets from asteroids and meteoroids?
b
d
Comets are larger than moons, asteroids and meteoroids are smaller than moons.
Comets have an orbit, asteroids and meteoroids do not.
Comets are found on planet Earth, asteroids and meteoroids are only found in space.
Comets are covered in ice, asteroids and meteoroids are not.

Answers

Answer: d is correct

Explanation:

i did the quiz

why a compartment that has the lowest water potential??

Answers

The compartment with the lowest water potential is typically the one with the highest solute concentration, which creates a strong osmotic pressure that draws water molecules from areas of higher water potential to areas of lower water potential.

This movement of water across cell membranes is essential for many biological processes, such as the uptake of water by plant roots and the regulation of blood volume in animals.

In plant cells, the compartment with the lowest water potential is often the cell's central vacuole, which contains a high concentration of solutes like sugars and ions. This creates a turgor pressure that helps maintain the cell's shape and rigidity. In animal cells, the compartment with the lowest water potential can vary depending on the specific cell type and its surrounding environment.

"

Correct question

Which compartment has the lowest water potential?

"

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is 0.5 a strong correlation?

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In most situations, the strong correlation usually ranges between 0.7 to 0.9. So 0.5 is not a strong correlation.

Correlation is an important concept in statics. This helps to associate the relationship between two variables. This is of two types namely positive correlation and negative correlation.

In a positive correlation, the association of two variables occurs in the same way. That is they both decrease or increase. In a negative correlation, the association of one variable occurs oppositely to another variable. That is, when one variable decreases, another variable increases.

This correlation is represented by the symbol r. This r-value range from +1 to -1. So the perfect positive correlation is +1 and the perfect negative correlation is -1.

In, the positive correlation, the values from 0.1 to 0.3 is considered weak or low correlation. The values from 0.4 to 0.6 are considered a moderate correlation and the values from 0.7 to 0.9 are considered a strong correlation.

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The table below provides data obtained at different geographical locations on Earth.
In which city would Earth’s gravitational field strength be the largest?

Answers

The city of Charleston, WV will have the largest gravitational field strength.

What is gravitational field strength?

The space around a material object in which its gravitational force can be experienced is known as gravitational field.

The gravitational field strength at a point in this field is the force experienced on unit mass placed at that point.

Here,

The data obtained at different geographical locations of earth are given in the table. The latitude of the geographical areas are provided.

Gravitational field strength,  I = -GM/r²

i.e, it follows the inverse square law.

The variation of gravitational field strength with change in latitude has been studied and the studies proved that:

As an  object moves away from the surface of earth, the gravitational force  between the object and earth decreases and therefore the gravitational field strength also decreases.

Therefore considering the latitudes of the geographical places mentioned, the place at the lowest latitude will have the strongest gravitational field strength. Charleston, WV will have largest gravitational field strength.

Hence, Charleston, WV which is at the lowest latitude will have the strongest gravitational field strength.

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As a wave moved from one medium to another there was a change in the wave’s speed. If the frequency of the wave does not change, what property of the wave must change, causing the change in speed?

Answers

Answer:

V = f λ        expresses wave speed where f is frequency and λ wavelength

If the frequency is unchanged across the boundary then the wavelength must change to account for the change in speed.

A wire-wound resistor has a resistance of 200 ohms. What voltage applied between the terminals will produce a current of 0.08 amperes?

Answers

The voltage across the wire-wound resistor has a resistance of 200 ohms and the current across this circuit of 0.08 amperes will be 160 V.

What is Ohm's law?

Ohm's Law is a formula which is used to calculate the relationship between voltage or potential difference across the circuit, the electric current and resistance in an electrical circuit.

The expression for this law will be:

V = IR

where, V is the voltage,

I is the electric current,

R is the resistance across the circuit

V = IR

V = 200 × 0.8

V = 160 volts.

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What is the time it takes to cause 40 watts of power with 7 J of work being done?
(Show work please)

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The time taken to cause 40 watts of power with 7 J of work being done will be 0.175 seconds.

What is power?

Power is defined as the work done by the body per second. In other words, power is the rate of doing work. The amount of energy transferred or converted per unit of time is referred to as power.

The watt is the unit of power in the International System of Units, equal to one joule per second. Power is sometimes referred to as activity in older works. A scalar quantity is a power.

Given that the power is 40 watts and the work is 7 J. The time will be calculated as:-

Power = Work / Time

40 = 7 / Time

Time = 7 / 40

Time = 0.175 seconds

Therefore, the time will be 0.175 seconds.

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The gravitational force between two objects can cause them to move. If will had two rubber balls and dropped them, which of the following would affect the gravitational force?

Answers

There will not be any effect on rubber balls but if there will be metallic ball then emf will be generated in the ball and its falling speed will be reduced slightly.

What is gravity?

Gravity attracts objects with mass to one another. We frequently consider the gravity of the Earth. This force holds the body in place. Any object with mass, on the other hand, has a gravitational effect on all other objects with mass. Gravity is measured by the acceleration it imparts to an object in free fall.

On the Earth's surface, the acceleration in free fall is approximately 9.8 metres (32 feet) per second. So, for every second that an object falls freely, its speed increases by approximately 9.8 metres per second. Gravity is a force that does not make contact with anything. Gravity does not require any contact with the object. Gravity affects all objects, even if they are not in contact with the ground.

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the solar panels absorb sunlight that is later used to heat the house directly. the tree provides shade preventing heating of the house in the summer. how does the tree help in passive heating of the house in winter?

Answers

You can let sunlight into your home and help it get warmer by growing deciduous trees all around it.

How can you conserve energy by growing trees around your house?

Your heating and cooling expenses can be decreased by trees. In the summer, trees reduce energy use by cooling the air, while in the winter, they act as a wind break. As a result, less fossil fuels are burned to provide power for heating and cooling.

Planting deciduous trees around the house to shade your windows, doors, and external heat pump is one of the best passive heating/cooling techniques. Wintertime leaf loss on deciduous trees makes it possible for the sun's warm rays to enter the house and aid in keeping it warm. During the winter, most trees do 'slow down,' including deciduous trees that lose their leaves completely stop photosynthesis.

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How to use physics right hand rules?

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Physics right hand rules can be used to determine the direction of a magnetic field, the direction of magnetic force, and the direction of current flow in a wire.

For example, to use the right hand rule for magnetic fields, you point your thumb in the direction of the current flow and curl your fingers in the direction of the magnetic field. This will give you the direction of the field lines. Similarly, the right hand rule for magnetic force involves pointing your index finger in the direction of the magnetic field, your middle finger in the direction of the current flow, and your thumb will point in the direction of the magnetic force acting on the wire.

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How does voltage cause current to do work?

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When there is a voltage difference between two points in a circuit, the electric charge flows from the higher voltage point to the lower voltage point, creating an electric current.

What is the role of voltage in a current?

When the electric current flows through a device such as a light bulb, a motor, or a heater, it does work by transforming electrical energy into another form of energy. For example, in a light bulb, the electric current causes the filament to heat up and emit light.

The amount of work that can be done by the electric current depends on the voltage and the resistance of the device. The higher the voltage and the lower the resistance, the greater the current and the more work that can be done.

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The specific heat at constant volume of a particular gas is 0.182 kcal/kg.K at room temperature, and its molecular mass is 34. What is the specific heat at constant pressure? What do you think is the molecular structure of this gas?

Answers

The specific heat at constant pressure (Cp) for the given gas is 1.049 kJ/kg.K. The molecular structure of the gas is likely to be monoatomic, with possible examples including helium, neon, and argon.

The specific heat at constant pressure (Cp) can be calculated from the specific heat at constant volume (Cv) using the relationship: Cp = Cv + R, where R is the gas constant for the particular gas. For air, R = 0.287 kJ/kg.K. Using the conversion factor 1 kcal = 4.186 kJ, we can convert the given value of Cv to the SI unit, and then calculate Cp:

Cv = 0.182 kcal/kg.K = 0.182 x 4.186 kJ/kg.K = 0.762 kJ/kg.K
Cp = Cv + R = 0.762 kJ/kg.K + 0.287 kJ/kg.K = 1.049 kJ/kg.K

The ratio of Cp to Cv for any gas is related to its molecular structure. For monoatomic gases, this ratio is equal to 5/3. For diatomic gases like nitrogen and oxygen, this ratio is equal to 7/5. For triatomic gases like carbon dioxide, this ratio is equal to 9/7. Since the calculated value of Cp/Cv for the given gas is 1.049/0.762 = 1.376, which is closer to 4/3, we can infer that the molecular structure of this gas is likely to be monoatomic. Possible examples of such gases include helium, neon, and argon.

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3. When the exposed side of the wings are in contact with the paper clips, there is a current flowing through the hoop that induces a magnetic field. Based on your observations, do the magnet and the hoop attract or repel one another when the loop continues to move?

Answers

The magnetic effect on moving electric charges, electric currents, and magnetic objects is described by a magnetic field, which is a vector field. A moving charge in a magnetic field feels a force perpendicular to its own motion and to the magnetic field.

What is called magnetic field?

The magnetic effect on moving electric charges, electric currents,: ch1 and magnetic objects is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own motion and the magnetic field acts on it when the charge is travelling through a magnetic field. : ch13: 278 The magnetic field of a permanent magnet tugs on ferromagnetic elements like iron and draws or repels other magnets.

Paramagnetism, diamagnetism, and antiferromagnetism are three additional magnetic effects that a nonuniform magnetic field can have on "nonmagnetic" materials, though these forces are typically so minute that they can only be observed by laboratory apparatus.

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How waves are reflected from ionosphere?

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Waves are reflected from the ionosphere due to the ionization of the atmosphere. The ionosphere is a layer of the Earth's atmosphere that is ionized by solar and cosmic radiation. This ionization creates a layer of free electrons that can reflect radio waves back to Earth.

The  ionization is the reason why radio waves can travel long distances, even around the curvature of the Earth.

The ionosphere is made up of several layers, each with different levels of ionization. The D layer is the lowest and is responsible for reflecting low frequency radio waves. The E layer is above the D layer and reflects medium frequency radio waves. The F layer is the highest and reflects high frequency radio waves.

The ionosphere of radio waves from the ionosphere is also affected by the angle of incidence of the wave. Waves that hit the ionosphere at a perpendicular angle are more likely to be reflected back to Earth, while waves that hit at a shallow angle are more likely to pass through the ionosphere and continue into space.

Waves are reflected from the ionosphere due to the ionization of the atmosphere and the angle of incidence of the wave. This reflection allows radio waves to travel long distances and is an important aspect of radio communication.

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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

When a dielectric material is inserted between the plates of a capacitor, the free charge on the surface of the capacitor plates will be reduced. This is because some of the free charge is transferred to the dielectric material.

What is the charge ?

The charge is the amount of money that someone is required to pay for a product or service. It is the cost that someone agrees to pay in exchange for goods or services. This charge can be either a fixed amount or a percentage of the total purchase amount. Charges can also include fees such as taxes, late fees, processing fees, and handling fees. Charges can be paid in cash, by credit card, or by check.

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during each heartbeat, about 80 g of blood is pumped into the aorta in approximately 0.20 s. during this time, the blood is accelerated from rest to about 1.0 cm/s. what is the average net force on the blood during this time?

Answers

The average net force on the blood during this time is 0.4 F

According to Newton's second law, we use formula

F=m.a

F=(m.v)/t

F= 80×1/0.20

F=0.4 F

Newton's II law

Newton's II law reads "An object with mass m experiences a resultant force of F will experience acceleration (a) whose direction is the same as the direction of the force and its magnitude is directly proportional to F and inversely proportional to mass (m)."

Every object tends to maintain its state as long as there is no resultant force acting on it. Newton's experimental results show that the force exerted on an object will cause the object to experience a change in velocity.

When the force is in the same direction as the object's motion, its speed increases and when the force is opposite to the object's motion, its speed decreases.

Formulas on Newton's Law II

F = m.a

F = the force acting on the object (N)

m = mass of object given force (kg)

a = acceleration of the object given the force (m/s2)

If the style works more than one is written:

∑F= ∑ m.a

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What is the minimum coefficient of friction needed between your back and the barrel wall ride (room spins, floor drops away) if the diameter of the circle is 2.8 m and it makes 1 revolution every 1.9 seconds?

Answers

The minimum friction coefficient needed can be calculated by dividing the calculated centripetal force by your weight.

What is friction coefficient?

To determine the minimum coefficient of friction needed between your back and the barrel wall for the ride, we need to calculate the centripetal force required to keep you in place and make sure that the friction force is greater than or equal to this force.

The centripetal force can be calculated using the formula:

F = m * v^2 / r

where:

m is your mass,

v is your speed (calculated as the circumference of the circle divided by the time for one revolution), and

r is the radius of the circle (which is half of the diameter, or 1.4 meters).

Using this formula, we can calculate the centripetal force required as follows:

v = (2 * pi * r) / t = (2 * pi * 1.4) / 1.9 = 4.27 m/s

F = m * v^2 / r = m * 4.27^2 / 1.4

Note: "pi" is a mathematical constant approximately equal to 3.14.

Now that we have the centripetal force, we can calculate the minimum friction force needed to keep you in place by using the formula:

F_friction = friction_coefficient * N

where:

friction_coefficient is the minimum coefficient of friction needed,

N is the normal force, which is equal to your weight in this case.

To find the minimum friction coefficient, we can set the centripetal force equal to the friction force:

F = friction_coefficient * N

friction_coefficient = F / N

So the minimum friction coefficient needed can be calculated by dividing the calculated centripetal force by your weight.

This is a rough estimate, as it assumes that you are stationary at the start of the ride, and it does not take into account any other forces that may affect your motion, such as air resistance or changes in the angle of the floor. In practice, a higher coefficient of friction may be necessary to ensure a safe and comfortable experience for the rider.

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The minimum friction coefficient needed can be calculated by dividing the calculated centripetal force by your weight.

What is friction coefficient?

To determine the minimum coefficient of friction needed between your back and the barrel wall for the ride, we need to calculate the centripetal force required to keep you in place and make sure that the friction force is greater than or equal to this force.

The centripetal force can be calculated using the formula:

[tex]F = m * v^2 / r[/tex]

where:

m is your mass,

v is your speed (calculated as the circumference of the circle divided by the time for one revolution), and

r is the radius of the circle (which is half of the diameter, or 1.4 meters).

Using this formula, we can calculate the centripetal force required as follows:

[tex]v = (2 * pi * r) / t = (2 * pi * 1.4) / 1.9 = 4.27 m/s[/tex]

[tex]F = m * v^2 / r = m * 4.27^2 / 1.4[/tex]

Note: "pi" is a mathematical constant approximately equal to 3.14.

Now that we have the centripetal force, we can calculate the minimum friction force needed to keep you in place by using the formula:

[tex]F_friction = friction_coefficient * N[/tex]

where:

friction_coefficient is the minimum coefficient of friction needed,

N is the normal force, which is equal to your weight in this case.To find the minimum friction coefficient, we can set the centripetal force equal to the friction force:

[tex]F = friction_coefficient * N[/tex]

[tex]friction_coefficient = F / N[/tex]

So the minimum friction coefficient needed can be calculated by dividing the calculated centripetal force by your weight.

This is a rough estimate, as it assumes that you are stationary at the start of the ride, and it does not take into account any other forces that may affect your motion, such as air resistance or changes in the angle of the floor. In practice, a higher coefficient of friction may be necessary to ensure a safe and comfortable experience for the rider.

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Which of the following statements about speed and velocity is correct?Velocity only describes an object’s rate of motion.Speed describes how an object is changing its velocity.Speed and velocity both describe how an object is speeding up.Only velocity includes the direction an object is traveling.

Answers

Answer:

Velocity includes direction.

Explanation:

Velocity is a vector, so it has direction and magnitude.

A goldfish is swimming at 2. 40 cm/s toward the front wall of a rectangular aquarium. What is the apparent speed (in cm/s) of the fish measured by an observer looking in from outside the front wall of the tank?.

Answers

The apparent speed of the fish measured by an observer looking in from outside the front wall of the tank is 1.50cm/s

For the plane surface (R=∞

n1​/p + n2/q = n2 −n1/R

​becomes q=−n2/n1 p

Thus the magnitudes of rate of change in the image and object positions are related by

dq/dt = n2/n1 dp/dt

if the fish swims towards the wall with a speed of 2 cm/s, the speed of the image is given by

v= dq/dt

= 1 (2)/ 1.3 =1.50cm/s

What is speed?

Distance divided by time is the dimension of speed. The metre per second (m/s) is the SI unit of speed, although the kilometre per hour (km/h) or, in the US and UK, miles per hour, is the most widely used measure in daily life (mph). The knot is a popular choice for air and sea travel.

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What is the ICD-10 code for lung mass?

Answers

Answer:

Explanation:

The ICD-10 code for a lung mass can vary depending on the specific diagnosis, but some common codes include:

J98.11: Obstructive chronic bronchitis with (acute) exacerbation

J98.2: Other specified respiratory disorders

J98.8: Other specified respiratory disorders

J98.9: Unspecified respiratory disorder, not elsewhere classified

It is important to note that these codes are just a general guide and a definitive diagnosis should be made by a healthcare professional based on a patient's individual medical history and symptoms. The code assigned for a lung mass will depend on the underlying cause and the specific diagnosis determined by the clinician.

How do you find the squared period in physics?

Answers

To find the squared period of an object, you can use the following equation: T² = 4π²m/k
(Where T is the period, m is the mass of the object, and k is the spring constant or the force constant of the system.)



In physics, the squared period is a measure of the time it takes for an object to complete one full cycle or oscillation. It is often used to describe the behavior of oscillatory systems, such as pendulums or springs.

To find the squared period, you simply need to plug in the values for m and k and solve for T. Once you have found the period, you can square it to find the squared period.

For example, if you have a spring with a mass of 2 kg and a spring constant of 10 N/m, you would plug these values into the equation:

T² = 4π²(2 kg)/(10 N/m)

Solving for T gives you:

T = 2π√(2 kg/10 N/m)

T = 0.89 seconds

To find the squared period, you would simply square the period:

T² = (0.89 seconds)²

T² = 0.79 seconds²

So the squared period of this system is 0.79 seconds².

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suppose that a motorboat is moving at ​ft/s when its motor suddenly​ quits, and that s later the boat has slowed to ​ft/s. assume that the resistance it encounters while coasting is proportional to its​ velocity, so that ​dv/dtkv. how far will the boat coast in​ all?

Answers

The boat will cost a total of 287.7 feet.

Using calculus, we can find that the equation for the velocity of the boat at any given time is[tex]v(t) = 90e^(-0.1t)[/tex]. We can then integrate this equation to find the total distance the boat travels while coasting.

Integrating v(t) from t=0 to t=s, where s is the time it takes for the boat to slow to 30 ft/s, we get:

[tex]∫(0 to s) 90e^(-0.1t) dt = 900(-e^(-0.1s) + 1)[/tex]

We know that at s seconds, [tex]v(s) = 30 ft/s[/tex], so we can solve for s:

30 = 90e^(-0.1s)

s ≈ 6.848 seconds

Substituting this value of s into our previous equation, we get:

[tex]900(-e^(-0.1(6.848)) + 1) ≈ 287.7 feet[/tex]

Therefore, the boat will coast a total of 287.7 feet before coming to a complete stop.

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A toy car rolls along a flat, level floor for ten seconds traveling 25m. What is the average speed of the car? A toy car rolls along a flat, level floor for ten seconds traveling 25m. What is the average speed of the car?

Answers

The average speed of the car can be calculated by dividing the distance traveled by the time taken.

Average speed = distance/time

In this case, the distance traveled is 25m and the time taken is 10 seconds.

So,

Average speed = 25m/10s = 2.5 m/s

Therefore, the average speed of the car is 2.5 m/s.

At absolute zero temperature, how is the pressure that the fluid exerts on its system container?

Answers

At absolute zero temperature, the pressure that a fluid exerts on its container is determined by its quantum mechanical nature, rather than by thermal motion.

What happens at absolute zero temperature?

At absolute zero, the fluid would have no thermal motion, and all the particles would be in their lowest energy state. This means that the fluid would still exert pressure on its container, but it would be a residual pressure, determined by the quantum mechanical properties of the fluid.

In some cases, the residual pressure at absolute zero can be significant and can be calculated using the ideal gas law and quantum statistical mechanics. In general, residual pressure is a fundamental property of a fluid, and is related to its intermolecular forces and density.

However, it is important to note that it is not possible to reach absolute zero temperature in practice, due to the laws of thermodynamics and the limitations of current technology. Nevertheless, the residual pressure at absolute zero can still be studied theoretically and provides important insights into the behavior of fluids at very low temperatures.

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.

How do you find the atomic radius on the periodic table?

Answers

The atomic radius on the periodic table generally increases from top to bottom within a group and decreases from left to right across a period.

The atomic radius refers to the distance between the nucleus of an atom and its valence electrons. It is measured in picometers (pm) or angstroms (Å). On the periodic table, elements are arranged in periods (horizontal rows) and groups (vertical columns).

Within a group, the atomic radius generally increases as you move down because the number of electron shells increases, resulting in a larger atomic radius.

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Calculate the kinetic energy of a rock with a mass of 55kg, rolling down a hill that is 27m high, with a velocity of 8m/s.

Answers

Kinetic energy of a rock with a mass of 55kg, rolling down a hill that is 27m high, with a velocity of 8m/s is 1760 J

What is kinetic energy?

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. Applying a force requires us to do work. After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed.

Given:

m = 55 kg

v = 8 m/s

KE or kinetic energy of the rock

Formula and solution:

KE = 1/2 mv²

KE = 1/2 (55kg) (8 m/s)²

1/2 of 55kg = 55 ÷ 2 = 27.5kg

8² or 8×8 = 64 m²/s²

KE = (27.5kg) (64 m²/s²)

KE = 1760kg.m²/s²

Hence, 1760kg.m²/s² is a correct answer.

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