79. A(n) ____________________ wave is a wave in which particles vibrate parallel to the
direction of the flow of energy.

Answers

Answer 1

Longitudinal wave is a wave in which particles vibrate parallel to the direction of the flow of energy.

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave.

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Related Questions

Is the sign of the flux through the right face consistent with the piercing component of the electric field or do we need to insert a minus sign?

Answers

The sign of the flux through the right face is consistent with the piercing component of the electric field if the angle between the electric field vector and the area vector of the right face has the correct orientation. If the angle is not consistent, you would need to insert a minus sign to correct the inconsistency. Let's analyze the terms and their relationships.

Flux is a measure of the total amount of some quantity passing through a surface, and in this context, we are referring to electric flux. Electric flux is defined as the dot product of the electric field (E) and the area vector (A) of the surface, mathematically represented as Φ = E • A.

The electric field is a vector quantity that describes the force exerted on a charged particle in the vicinity of other charged particles or objects.

The sign of the electric flux depends on the angle between the electric field vector and the area vector of the surface. If the angle between them is less than 90 degrees, the dot product is positive, and the flux is positive, which indicates that the electric field is entering the surface. If the angle is between 90 and 180 degrees, the dot product is negative, and the flux is negative, which means the electric field is leaving the surface.

Now, to answer your question, the sign of the flux through the right face is consistent with the piercing component of the electric field if the angle between the electric field vector and the area vector of the right face has the correct orientation. If the angle is not consistent, you would need to insert a minus sign to correct the inconsistency.

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A parallel combination of resistors has an equivalent (or effective) resistance of 2 Ω. Which one of the following is true?

The sum of the individual resistances is 2 Ω.
The sum of the reciprocals of the individual resistances is 2 Ω.
Each of the individual resistances is greater than 2 Ω.
Each of the individual resistances is smaller than 2 Ω.
None of the above is true.

Answers

A parallel combination of resistors has an equivalent (or effective) resistance of 2 Ω -The sum of the reciprocals of the individual resistances is 2 Ω.

When resistors are connected in parallel, the total resistance of the circuit is always less than the smallest resistor value. In this case, the equivalent resistance is given as 2 Ω. This means that the total resistance of the circuit is equal to the reciprocal of the sum of the reciprocals of the individual resistances. Therefore, the sum of the reciprocals of the individual resistances is 1/2 Ω, which is equal to 2 Ω when reciprocated.

Option A is incorrect because the sum of the individual resistances cannot be equal to the equivalent resistance when resistors are connected in parallel.

Option C is incorrect because if each of the individual resistances is greater than 2 Ω, the total resistance of the circuit would be greater than 2 Ω, which contradicts the given information.

Option D is incorrect because if each of the individual resistances is smaller than 2 Ω, the total resistance of the circuit would be smaller than 2 Ω, which also contradicts the given information.

Therefore, the correct answer is option B - The sum of the reciprocals of the individual resistances is 2 Ω.

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What is the tension required to produce 1 wavelength of a standing wave on a 0.63 m length of string, if it is driven with a frequency of 54 Hz and has a linear density of 0.035 kg/m

Answers

The tension required to produce 1 wavelength of a standing wave on a 0.63 m length of string, if it is driven with a frequency of 54 Hz and has a linear density of 0.035 kg/m is 31.7 N.

To calculate the tension required to produce 1 wavelength of a standing wave on a 0.63 m length of string, we need to use the formula:

T = (4 × f² × L × mu) / (n² × pi²)

Where:

T = tension in the string

f = frequency of the wave

L = length of the string

mu = linear density of the string

n = number of antinodes in the standing wave

In this case, the frequency is given as 54 Hz, the length of the string is 0.63 m, and the linear density is 0.035 kg/m. To find the number of antinodes, we need to know the wavelength, which is given by:

lambda = 2L / n

For one wavelength, n = 2, so:

lambda = 2L / n

= 2 × 0.63 m / 2

= 0.63 m

Now we can calculate the tension:

T = (4 × f² × L × mu) / (n² × pi²)

T = (4 × (54 Hz)² × 0.63 m × 0.035 kg/m) / (2² * pi²)

T = 31.7 N

Therefore, the tension required to produce 1 wavelength of a standing wave on a 0.63 m length of string, if it is driven with a frequency of 54 Hz and has a linear density of 0.035 kg/m, is

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Clouds that appear dark in visible light often glow when observed at long infrared wavelengths
T/F

Answers

True. cloud may appear dark in visible light, it may still emit radiation at longer infrared wavelengths, leading to a glowing appearance when observed with infrared instruments.

Clouds that appear dark in visible light may contain small particles or droplets that absorb visible light and scatter it in different directions, making the cloud appear dark or opaque. However, these same particles may also emit radiation in the long infrared range, causing the cloud to glow when observed at those wavelengths. Infrared radiation has longer wavelengths than visible light and can penetrate through some of the opaque materials that block visible light. When infrared radiation encounters the small particles or droplets within a cloud, it can cause them to vibrate, which in turn causes them to emit radiation in the infrared range.

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A rocket blasts off and moves straight upward from the launch pad with constant acceleration. After 3.0 s the rocket is at a height of 87 m.
1.) What is the magnitude of the rocket's acceleration?
2.) What is the direction of the rocket's acceleration?
3.) What is its speed at this time?

Answers

The magnitude of the rocket's acceleration is 19.33 m/s². The direction of the rocket's acceleration is straight upward. The rocket's speed at this time is 57.99 m/s.



1.) To determine the magnitude of the rocket's acceleration, we'll use the equation:

h = vi*t + 0.5*a*t².

In this equation, h is the height (87m), vi is the initial velocity (0 m/s since it's at rest), t is the time (3.0 s), and a is the acceleration we want to find.

87 = 0*(3.0) + 0.5*a*(3.0)²

Solve for a:
87 = 4.5*a
a = 19.33 m/s²

2.) The direction of the rocket's acceleration is the same as the direction of its motion, which is straight upward.

3.) To find its speed at this time, we'll use the equation:

vf = vi + a*t.

Here, vf is the final speed, vi is the initial velocity (0 m/s), a is the acceleration (19.33 m/s²), and t is the time (3.0 s).

vf = 0 + (19.33)*(3.0)
vf = 57.99 m/s

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At any instant, the rate of increase of momentum of a liquid-fuels rocket is Mdv/dt, where M is the current mass of the rocket and v is the velocity.

T/F

Answers

True, at any instant, the rate of increase of momentum of a liquid-fuels rocket is given by Mdv/dt, where M is the current mass of the rocket and v is the velocity.

This expression represents the rate of change of momentum with respect to time and is related to the rocket's propulsion force.

The force that is used by the rocket to take off from the ground and into the atmosphere. The principle on which the rocket propulsion works is based on Newton's third law of motion. Here, the fuel is forcibly ejected from the exit such that an equal and opposite reaction occurs.

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What kind of dielectric constants will materials composed of permanently polarized molecules have?

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The materials composed of permanently polarized molecules have a large dielectric constant (ks).

A polarised molecule is defined as the one end of the molecule is positive and the other end of the molecule is negative. The polarised molecules have a larger capacity to store charge.

Thus, for the polarised molecules, more charge can be accumulated on the plates and hence it has more dielectric constant.

Hence, the materials composed of permanently polarised molecules have a large dielectric constant to store more charge and hence, these materials possess large ks, where k is the dielectric constant.

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A bike rider and his bike have a combined mass of 95 kg. The rider is riding on a section of flat road at a speed of 7. 5 m/s. Therefore, the bike and rider together have Response area J of kinetic energy. The rider reaches the bottom of a hill and stops pedaling as he coasts to a stop. How much higher than the bottom of the hill is the stopping point? Response area meters

Answers

The stopping point is approximately 2.86 meters higher than the bottom of the hill.

The kinetic energy of the bike and rider is given by:

K = (1/2) * m * v^2

where m is the combined mass of the bike and rider, and v is their speed. Plugging in the given values, we get:

K = (1/2) * 95 kg * (7.5 m/s)^2 = 2671.875 J

When the rider reaches the bottom of the hill, all of their kinetic energy will have been converted to potential energy, since they are no longer moving. The potential energy at the bottom of the hill is zero, so the total potential energy at the stopping point is equal to the initial kinetic energy of the rider.

The potential energy at a height h is given by:

U = m * g * h

where g is the acceleration due to gravity (9.8 m/s^2). Setting U equal to K and solving for h, we get:

h = K / (m * g)

Plugging in the given values, we get:

h = 2671.875 J / (95 kg * 9.8 m/s^2) ≈ 2.86 meters

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The switch is initially open and the circuit is oscillating with a frequency ω =1/sqrt(LC). What happens to the frequency ω of the oscillations when the switch is closed?

Answers

The frequency of the oscillations in the circuit increases when the switch is closed.

When the switch in an oscillating circuit is initially open, the circuit is oscillating with a frequency ω =1/sqrt(LC). However, when the switch is closed, the behavior of the circuit changes.

When the switch is closed, the current in the circuit increases and the energy in the inductor is transferred to the capacitor, causing the voltage across the capacitor to increase.

This increase in voltage causes the frequency of the oscillations to increase. This is because the frequency of an oscillating circuit is inversely proportional to the square root of the capacitance and inductance.

When the switch is closed, the capacitance and inductance of the circuit effectively decrease, causing the frequency to increase.

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When your car moves along the highway at constant velocity, the net force on it is zero. Why, then, do you have to keep running your engine? a. To keep things like your radio and air conditioning running b. In case you have to suddenly accelerate C. To overcome frictional forces

Answers

The reason you have to keep running your engine when your car is moving at a constant velocity on the highway is to overcome frictional forces.

So, the correct answer is C.

Understanding Frictional forces

When your car is moving along the highway at a constant velocity, the net force acting on it is zero. However, you still need to keep running your engine to overcome the frictional forces acting on your car.

Frictional forces such as air resistance, rolling resistance, and the resistance caused by the engine and transmission of your car all act against the motion of your car.

Therefore, your engine needs to continue to produce power to counteract these forces and maintain your car's speed.

Additionally, keeping your engine running is important to power essential features of your car, such as your radio and air conditioning, and to prepare for sudden acceleration needs, such as when merging onto a highway or passing another vehicle.

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In the avian and mammalian eye, the lens remains stationary but changes shape in order to focus on objects at various distances. This is called accommodation and is accomplished through adjusting muscle control of the lens in order to

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In order to accommodate for the changing distances of objects being viewed, the avian and mammalian lens remains stationary but changes shape in order to focus on objects at various distances.

The process of accommodation involves the ciliary muscle contracting or relaxing, which in turn changes the tension on the suspensory ligaments that hold the lens in place. This allows the lens to change its shape, becoming more or less curved, and thus adjust its refractive power to focus light onto the retina.

The ability to accommodate gradually decreases with age, resulting in a condition known as presbyopia, which typically requires corrective lenses to be worn for clear vision at close distances.

Therefore, the lens of avian and mammals changes in shape in order to focus on objects at various distances.

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Block A is released from rest at the center of a tank of water. The block accelerates upwara 1. At the instant the block is released, is the magnitude of the buoyant force on block A greater than, less than, or equal to the magnitude of its weight? Explain your reasoning When block A reaches the surface, it is observed to float at rest as shown in the diagram on the right. In this final position, is the buoyant force on block A greater than, less than, or equal to its weight? Explain your reasoning If 90% of block A lies below the surface of the water in its final position, then what is the density of block A? Explain/show your reasoning. 2. Final position of block A 3. Imagine that block A were released in the center of a tank filled with a fluid that is twice as dense as water. 4. Describe what will happen to block A after it is released. 5. Calculate the percentage of block A that is submerged after block A comes to rest Explain/show your reasoning

Answers

1. At the instant of release, the buoyant force on block A is less than the magnitude of its weight.

2. In its final position, the buoyant force on block A is equal to its weight; 3. The density of block A is 0.9 times the density of water;

4. In a tank filled with a fluid twice as dense as water, block A would experience a greater buoyant force;

5. The percentage of block A that is submerged after it comes to rest is given by:

Percentage submerged = (h/V) * 100

= ((L - V/2)/V) * 100

1. How to find the magnitude of the buoyant force?

When an object is placed in a fluid, it experiences a buoyant force which is equal to the weight of the fluid displaced by the object. At the instant the block is released, it is not moving, so it has no momentum and therefore no net force acting on it.

Since the block is denser than water, it will sink initially. As it sinks, it displaces an amount of water equal to its own volume, and the buoyant force acting on it will be equal to the weight of the displaced water. Since the block is sinking, its weight is greater than the buoyant force acting on it. Therefore, at the instant of release, the magnitude of the buoyant force on block A is less than the magnitude of its weight.

2. How to find the magnitude of the buoyant force?

When the block reaches the surface of the water and comes to rest, it is now fully submerged and displaces a volume of water equal to its own volume. At this point, the block has stopped accelerating and is in equilibrium, which means that the net force acting on it is zero. Therefore, the buoyant force on the block must be equal in magnitude and opposite in direction to its weight.

This is because the buoyant force is equal to the weight of the displaced water, and the weight of the block is equal to the force of gravity acting on it. Since the block is floating and not sinking or rising, the buoyant force must be equal in magnitude to its weight.

3.How to find the density of water?

The fraction of the block that is submerged in water is equal to the ratio of the volume of the block that is below the waterline to the total volume of the block. If 90% of the block is below the waterline, then the fraction of the block that is submerged is 0.9. The buoyant force on the block is equal to the weight of the displaced water, which is equal to the weight of the water that has the same volume as the submerged part of the block. Since the buoyant force is equal to the weight of the block when it is in equilibrium, we can use this relationship to solve for the density of the block. Specifically, the density of the block is equal to its weight divided by the volume of the submerged part of the block times the acceleration due to gravity. Using the fact that the buoyant force is equal to the weight of the displaced water, we can write:

(weight of block) = (weight of displaced water)

(density of block) x (volume of submerged part of block) x (acceleration due to gravity) = (density of water) x (volume of displaced water) x (acceleration due to gravity)

Since the fraction of the block that is submerged is 0.9, the volume of the submerged part of the block is 0.9 times the total volume of the block. Therefore, we can rewrite the equation as:

(density of block) = 0.9 x (density of water)

4.How to find the density of water?

In a tank filled with a fluid twice as dense as water, block A would experience a greater buoyant force.

The buoyant force on an object is directly proportional to the density of the fluid in which it is submerged.

5. How to calculate the percentage of block A?

To calculate the percentage of block A that is submerged after it comes to rest, we need to use the concept of buoyancy force and Archimedes' principle.

The volume of water displaced by the block is equal to the volume of the block that is submerged in the water. Let V be the total volume of the block and h be the height of the block that is submerged in the water.

Then, the volume of water displaced by the block is equal to V*h. Therefore, we can write:

Weight of the block = density of water * V * h

We can rearrange this equation to solve for h:

h = Weight of the block / (density of water * V)

Since the block accelerates upward, we can assume that the upward force acting on the block is greater than its weight. This means that a part of the block is above the water surface. Let L be the height of the block that is above the water surface.

Then, the height of the block that is submerged in the water is equal to:

h = (L + V/2) - V

Simplifying this equation, we get:

h = L - V/2

Therefore, the percentage of block A:

Percentage submerged = (h/V) * 100

= ((L - V/2)/V) * 100

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Can you find isolated north or south magnetic poles, or do they always come in pairs?

Answers

Magnetic poles always come in pairs, with a north and a south pole, forming a magnetic dipole.

What are magnetic poles?

Magnetic poles are always found in pairs. According to the theory of electromagnetism, magnetic poles are created by the movement of electric charges, and it is impossible to isolate a single magnetic pole.

In a magnet, the north pole is always paired with a south pole. When a magnet is broken, it results in two smaller magnets, each with a north and south pole. In nature, the Earth has a magnetic field that is created by the movement of molten iron in the core.

This magnetic field has a north pole and a south pole, which are not fixed and can even reverse over time.

Even though scientists have been studying magnetic fields for centuries, there is still much to learn about the fascinating properties of magnetism.

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If you double a particular reactant concentration between two otherwise identical kinetic runs and you see that this causes no change in the reaction rate, what is the order with respect to that reactant?
Zero Two
Three
Four
Eight
Sixteen
Thirty Two

Answers

If doubling a particular reactant concentration between two otherwise identical kinetic runs causes no change in the reaction rate, the order with respect to that reactant is zero. In other words, the reaction rate is not dependent on the concentration of that particular reactant. This is known as a zero-order reaction with respect to that reactant. The possible orders listed in the question are two, three, four, eight, sixteen, and thirty-two, but the correct answer is zero.

A 3. 0-kg block moves up a 40° incline with constant speed under the action of a 26-N force acting up and parallel to the incline. What magnitude force must act up and parallel to the incline for the block to move down the incline at constant velocity?

Answers

15 N. to find the force required to move the block down the incline at a constant velocity, we need to balance the force of gravity pulling the block down the incline with the force acting up and parallel to the incline.

This force is equal in magnitude and opposite in direction to the force that was acting up and parallel to the incline when the block was moving up the incline. Therefore, the required force is 26 N - the force due to gravity (which is equal to the weight of the block, 3.0 kg x 9.8 m/s^2 x sin(40°) = 18.5 N) = 7.5 N.

To move the block down the incline at a constant velocity, the force acting up and parallel to the incline must be equal in magnitude and opposite in direction to the force of gravity pulling the block down the incline. Therefore, we need to subtract the force due to gravity from the 26-N force that was acting up and parallel to the incline when the block was moving up the incline. This gives us 26 N - 18.5 N = 7.5 N, which is the magnitude of the force required to move the block down the incline at a constant velocity.

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If you want to increase the strength of the magnetic field inside a solenoid, is it better to: (a) double the number of loops, keeping the length the same; or (2) double the length, keeping the number of loops the same?

Answers

To increase the strength of the magnetic field inside a solenoid, it is better to (a) double the number of loops, keeping the length the same. The magnetic field strength (B) inside a solenoid is directly proportional to the number of loops (N) per unit length (L) and the current (I) flowing through the wire, as given by the formula:

B = μ₀ * (N / L) * I

Here, μ₀ is the permeability of free space, a constant value. From this formula, it is evident that increasing the number of loops while keeping the length the same will result in a greater magnetic field strength. In contrast, doubling the length while keeping the number of loops the same will reduce the number of loops per unit length (N/L), thus decreasing the magnetic field strength.

Furthermore, doubling the number of loops not only increases the magnetic field strength but also allows for better confinement and uniformity of the field within the solenoid. This is particularly beneficial in various applications, such as electromagnets and transformers, where a strong, uniform magnetic field is required.

In summary, to increase the strength of the magnetic field inside a solenoid, it is more effective to double the number of loops while keeping the length constant, as it directly increases the magnetic field strength according to the formula mentioned above.

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how does the V shape of a bow wave depend on the speed of the source

Answers

The V shape of a bow wave becomes narrower as the speed of the source increases.

How does bow wave V shape vary?

The V shape of a bow wave, also known as a bow shock, is created when a source moves through a fluid medium, such as a boat moving through water or an airplane moving through air. The speed of the source directly affects the angle of the V shape. At low speeds, the angle is narrow, while at higher speeds, the angle becomes wider. This is because at higher speeds, the source is pushing more fluid out of the way, creating a larger disturbance and more pressure in front of the source. The pressure builds up and forms the characteristic V shape. The size of the V shape can also be affected by the density and viscosity of the fluid medium, as well as the shape and size of the source.

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For steady flow of compressible gas in a pipeline, the mass flow rate is the same at any location.

T/F

Answers

The statement "For a steady flow of compressible gas in a pipeline, the mass flow rate is the same at any location." is true because it remains constant at any location along the pipeline as long as the product of the three parameters is consistent.

This concept is based on the principle of conservation of mass, which states that mass cannot be created or destroyed in a closed system. In a steady flow, the properties of the fluid do not change with time, meaning the inflow and outflow of mass within the pipeline must be equal.

In the case of compressible gases, factors such as pressure and temperature may change along the pipeline due to processes like compression or expansion. However, these changes do not affect the mass flow rate as long as the flow remains steady. To maintain a constant mass flow rate, the product of the cross-sectional area of the pipeline (A), gas density (ρ), and velocity (V) must remain the same at any given location, as expressed by the equation:

Mass flow rate (m) = A * ρ * V

Even if density and velocity change along the pipeline, the mass flow rate will remain constant as long as the product of these three parameters is consistent. This ensures that the amount of gas entering and leaving the pipeline remains equal, thus maintaining the mass balance within the system.

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a truck driver slams on the brakes of a moving truck with a constant velocity v, as a result of his action the truck stops after traveling a distance d. If the driver had been traveling with twice the velocity, what would be the stopping distance compared to the distance in the first trial?
1 : Two times greater
2 : Four times greater
3 : The same
4 : Half as much
5 : One-quarter as much

Answers

The stopping distance would be four times greater.

How does velocity affect stopping distance?

The stopping distance of the truck when the driver is traveling with twice the velocity is four times greater than the distance traveled in the first trial. This is because the kinetic energy of the truck, which is proportional to the square of its velocity, increases by a factor of four when the velocity is doubled. When the driver slams on the brakes, the kinetic energy of the truck is converted into heat and sound energy through friction between the truck's tires and the road. The greater kinetic energy at the higher velocity results in a greater amount of energy that needs to be dissipated, leading to a longer stopping distance.

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From the equation w=mg, it is apparent that weight is equivalent to a (an)
A. force
B. mass
C. acceleration
D. none of these

Answers

From the equation w=mg, it is apparent that weight is equivalent to a force (Option A). In this equation, w represents weight, m stands for mass, and g symbolizes the acceleration due to gravity.

Weight is a force because it measures the gravitational pull exerted on an object with mass. This force is a product of the object's mass and acceleration due to gravity, which varies slightly depending on location but is approximately 9.81 m/s² on Earth.

Mass is a scalar quantity that represents the amount of matter in an object, while weight is a vector quantity that depends on both mass and the gravitational force acting on the object. The weight of an object can change if it is placed in a different gravitational field (e.g., on the Moon), but its mass remains constant.

In summary, the equation w=mg demonstrates that weight is a force resulting from the gravitational interaction between an object's mass and acceleration due to gravity. Hence, A is the correct option.

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47. Translational molecular motion is defined as the displacement of a particle over a
certain time interval. ____________________

Answers

The given statement ''Translational molecular motion is defined as the displacement of a particle over a certain time interval'' is false.

What is translational molecular motion?

Translational molecular motion refers to the movement of particles in a fluid (gas or liquid) in a straight line or in a curved path due to thermal energy. It is not defined as the displacement of a particle over a certain time interval.

In translational motion, the particles move from one point to another without any rotation or vibration. This type of motion is typically associated with the movement of particles in a gas, where the particles move in random directions and collide with each other and the walls of the container.

The displacement of a particle over a certain time interval, on the other hand, is called "linear displacement" and is a measure of the distance travelled by a particle in a straight line over a specific time. It is not the same as translational motion.

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Assume a pump efficiency of 100% for the brake power calculation.How would a 50% increase in impeller rotational speed, with the same flowrate and blade angle, change the results for this problem?

Answers

Assuming a pump efficiency of 100%, a 50% increase in impeller rotational speed with the same flow rate and blade angle would result in an 125% increase in brake power.

The brake power of a pump is given by the equation P_b = rho * Q * H * g, where rho is the fluid density, Q is the flow rate, H is the head, and g is the acceleration due to gravity. Since the flow rate and blade angle remain the same in this scenario, the head will increase proportionally to the square of the impeller rotational speed. Therefore, a 50% increase in impeller rotational speed would result in a (1.5)^2 = 2.25 times increase in head, and consequently, a 125% increase in brake power. However, in reality, the pump efficiency is not 100%, and the actual increase in brake power would be lower than 125%, depending on the efficiency of the pump at the new operating point.

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A car’s specifications state that its weight distribution is 53 percent on the front tires and 47 percent on the rear tires. The wheel base is 2.46 m. Where is the car’s center of mass?

Answers

A car’s specifications state that its weight distribution is 53 percent on the front tires and 47 percent on the rear tires. The wheel base is 2.46 m. then  the car’s center of mass is

The center of mass of a mass distribution in space (also known as the balancing point) is the unique place at any given moment where the weighted relative position of the dispersed mass adds to zero. This is the point at which a force may be applied to produce a linear acceleration without producing an angular acceleration. Calculations in mechanics are frequently simplified when they are expressed in terms of the centre of mass. It is a fictitious point at which the whole mass of an item can be imagined to be concentrated in order to depict its motion. In other words, the center of mass is the particle equivalent of a particular object when Newton's equations of motion are applied.

Consider that weight of the car is W, therefore,

weight of the car on front tires W(front) = 0.53W and

weight of the car on front tires W(front) = 0.47W and

Consider the mid point of the car is reference point from which we have to measure the distance of the center of mass.

from mid point, rare part of the car is at 2.46/2 = 1.23 m distance and

from mid point, front part of the car is at 2.46/2 = 1.23 m distance.

according to formula by center of mass,

MR = m₁R₁ + m₂R₂

W×R = (0.53×1.23 - 0.47×1.23) W

R = (0.53×1.23 - 0.47×1.23)

R = 0.07 m

The center of the mass of the car is at 0.07m towards front of the car.

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If it takes 80.0 joules to raise the temperature of a material by 10.0C, how much heat must be added to cause an additional increase of 20.0C?

Answers

To raise the temperature of the material by 20.0 degrees Celsius, an additional 160.0 joules of heat energy would be required.

The amount of heat required to raise the temperature of a material depends on the material's specific heat capacity, the amount of the material, and the change in temperature. The formula for calculating the heat energy required is:

Q = mcΔT

where Q is the heat energy in joules, m is the mass of the material in kilograms, c is the specific heat capacity of the material in joules per kilogram per degree Celsius, and ΔT is the change in temperature in degrees Celsius.

Given that it takes 80.0 joules to raise the temperature of the material by 10.0C, we can calculate the specific heat capacity of the material as follows:

c = Q / (m x ΔT)

c = 80.0 J / (m x 10.0 C)

We do not know the mass of the material, so we cannot calculate its specific heat capacity. However, we can use the same formula to calculate the heat energy required to raise the temperature of the material by an additional 20.0C, assuming the mass remains the same:

Q = mcΔT

Q = (c x m) x ΔT

Q = [(80.0 J / (m x 10.0 C)) x m] x 20.0 C

Q = 160.0 J

Therefore, it would require an additional 160.0 joules of heat energy to raise the temperature of the material by an additional 20.0C.

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Soon after the Big Bang, we think the four fundamental forces of nature were united into one superforce, and __________ was the first to split off from the others.

Answers

The answer is that the fundamental force of gravity was the first to split off from the others after the Big Bang.

According to current scientific understanding, the four fundamental forces of nature are gravity, electromagnetism, the strong nuclear force, and the weak nuclear force.

In the earliest moments after the Big Bang, these four forces were believed to have been united into a single superforce. As the universe expanded and cooled, this superforce began to break down into the individual fundamental forces we observe today.

Gravity is thought to have been the first force to split off from the others, occurring within the first fractions of a second after the Big Bang. This was followed by the strong nuclear force, which then separated into the weak nuclear force and electromagnetism.

Overall, the splitting of the superforce into the four fundamental forces is a key aspect of our understanding of the early universe and the development of the laws of physics.

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Two small objects, with masses m and M, are originally a distance r apart, and the magnitude of the gravitational force on each one is F. The masses are changed to 2m and 2M, and the distance is changed to 4r. What is the magnitude of the new gravitational force?
a) F/16
b) F/4
c) 16F
d) 4F
e) F/2

Answers

Two small objects, with masses m and M, are originally a distance r apart, and the magnitude of the gravitational force on each one is F. The masses are changed to 2m and 2M, and the distance is changed to 4r. The magnitude of the new gravitational force is (b) F/4.

The magnitude of the gravitational force between two objects is given by the formula:

F = G * (m1 * m2) / r²

where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.

If the masses are changed to 2m and 2M, and the distance is changed to 4r, the new force can be calculated as follows:

F' = G * (2m * 2M) / (4r)²

Simplifying this expression, we get:

F' = G * (m * M) / 4r²

Thus, the magnitude of the new gravitational force is F/4. Therefore, the correct answer is (b) F/4.

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In order to keep an object weighing 20 N moving at a constant speed along the horizontal surface, a force of 10 N is required. The force of friction between the surface and the object is
(A) 0 N

(B) 10 N

(C) 20 N

(D) 30 N

Answers

Option(B) Force of friction between the surface and the object must be 10 N, which is equal in magnitude but opposite in direction to the applied force.

How does the force of friction affect the motion of an object according to Newton's first law?

According to Newton's first law, an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an unbalanced force.

In this case, the object is moving at a constant speed, which means that the net force acting on the object is zero.

Since a force of 10 N is required to keep the object moving at a constant speed, there must be an equal and opposite force acting against it.

This force is known as the force of friction, which opposes the motion of the object and acts in the opposite direction to the applied force.

If the applied force was greater than the force of friction, the object would accelerate in the direction of the applied force.

If the applied force was less than the force of friction, the object would decelerate or eventually come to a stop due to the frictional force being greater than the applied force.

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The sun is mostly hydrogen atomic mass 1.00794g/mole). The mass of the sun is 2 x 1050kg. Approximately how many protons are in the sun? Don't forget to convert kilograms to grams. Select One of the Following: (a) 3 x 10 protons (b) 1 x 21. protons (c) 2 x 10 protons (d) 1 x 1057 protons e) 3 x 100 protons

Answers

Numbers of protons in sun is approximately equal to option (d) 1 x [tex]10^{57[/tex] protons.

To find the approximate number of protons in the Sun, we need to first convert the mass of the Sun from kilograms to grams, and then divide that by the atomic mass of hydrogen.
The mass of the Sun is 2 x [tex]10^{30[/tex] kg. To convert this to grams, we multiply by 1000 (since there are 1000 grams in a kilogram):
2 x [tex]10^{30[/tex] kg * 1000 g/kg = 2 x [tex]10^{33[/tex]g
Now, we need to divide this mass by the atomic mass of hydrogen (1.00794 g/mole) to find the number of moles of hydrogen:
(2 x [tex]10^{33[/tex] g) / (1.00794 g/mole) ≈ 1.98 x [tex]10^{33[/tex] moles
Since there is one proton per hydrogen atom, and Avogadro's number (6.022 x 10^23 atoms/mole) tells us the number of atoms in a mole, we can find the number of protons by multiplying the moles of hydrogen by Avogadro's number:
(1.98 x [tex]10^{33[/tex] moles) * (6.022 x [tex]10^{23[/tex] atoms/mole) ≈ 1.19 x [tex]10^{57[/tex] protons
So, the closest answer to the number of protons in the Sun is (d) 1 x [tex]10^{57[/tex] protons.

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In cylindrical coordinates, the location of a point P is specified by distance and two angles

T/F

Answers

True. In cylindrical coordinates, a point P is specified by its distance from the origin (ρ), an angle in the xy-plane (φ), and its height above the xy-plane (z).

A coordinate system known as cylindrical coordinates is used in physics and mathematics to describe locations in three-dimensional space.

This system uses three parameters to specify the location of a point, namely ρ, φ, and z.

The XY-plane point's distance from the origin is represented by the parameter ρ. It is calculated using length units like meters or feet.

The angle formed in the xy plane between the positive x-axis and a line leading from the origin to a point called the parameter φ. It is expressed in radians, an angle measurement unit.

The length-based parameter z represents the height of the point above the xy-plane.

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The sign convection for normal stress is that it is considered positive it's compressive tree, such as pressure.

T/F

Answers

The sign convention for normal stress is that it is considered positive when it's compressive, such as pressure, The given statement is true because the sign convention for normal stress is an important aspect of understanding and analyzing the behavior of materials under stress.

In this convention, compressive stress, which is experienced when a material is being compressed or subjected to pressure, is considered positive. On the other hand, tensile stress, which occurs when a material is being stretched or pulled apart, is considered negative.

This convention is widely used in various fields, including civil engineering, mechanical engineering, and materials science. By adopting this convention, engineers and scientists can more easily interpret and communicate the results of their analyses and calculations, making it a valuable tool for ensuring consistency and accuracy in the study of materials and structures under stress. In summary, the statement is true that the sign convention for normal stress considers compressive stress as positive, which aids in the understanding and analysis of materials and structures in various engineering and scientific fields.

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