A 1250 kg car is moving down the highway with a velocity of 32.0 m/s when it bumps into the car ahead of it which has a mass of 875 kg and a velocity of 25.0 m/s. After the collision, the two cars stick together. What will be the resulting velocity of the two cars together?

Answers

Answer 1

A. If the collision is perfectly inelastic then it follows the equation,

   

            m1v1 + m2v2 = (m1 + m2)(v3)

Substituting,

          (1250 kg)(32 m/s) + (875 kg)(25 m/s) = (1250 kg + 875 kg)(v3)

The value of v3 from the equation is 29.12 m/s.

B. The kinetic energy is calculated through the equation,

             KE = 0.5mv²

Using this equation to solve for the total kinetic energies before and after the collision,

   Before collision:

        KE = 0.5(1250 kg)(32 m/s)² + (0.5)(875 kg)(25 m/s)²

            KE = 913437.5 J

   After collision:

          KE = (0.5)(1250 kg + 875 kg)(29.12 m/s)²

                KE = 900972.8 J

The difference is equal to 12464.7 J


Related Questions

A plane traveling to Europe takes 12 hours to fly 86000 km. What is the planes velocity

Answers

The velocity of the plane is approximately 7166.67 km/h.

The rate at which an item changes its location in a certain direction over a predetermined amount of time is referred to as velocity in the study of physics. Due to the fact that it is a vector quantity, it possesses both magnitude and direction. The direction of velocity describes whether an object is moving in a straight line or along a curved path, whereas the magnitude of velocity represents the object's speed.

To calculate the velocity of the plane, can use the formula:

Velocity = Distance / Time

Given:

Distance = 86000 km

Time = 12 hours

Putting the values, may get:

Velocity = 86000 km / 12 hours

To obtain the velocity in km/h, we divide the distance by the time:

Velocity = 7166.67 km/h

So, the velocity of the plane would be approximately 7166.67 km/h.

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a simple test to determine the overall amount of particles of extremely small size in a water sample is

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A simple test to determine the overall amount of particles of extremely small size in a water sample is the turbidity test.

The simple test to determine the overall amount of particles of extremely small size in a water sample is known as a turbidity test.

Turbidity is a measure of the cloudiness or haziness of a fluid caused by the presence of suspended particles, such as sediment, algae, or other microscopic matter.

The test involves shining a light through a water sample and measuring the amount of light that is scattered or absorbed by the particles in the water.

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Light Microscope:Name four lenses & list their magnification What is the magnification of the ocular lensWhat is the total magnification?

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The total magnification in this case would be 400x. The four lenses in a light microscope are:

Scanning objective lens: Magnification of 4x

Low-power objective lens: Magnification of 10x

High-power objective lens: Magnification of 40x

Oil-immersion objective lens: Magnification of 100x

The magnification of the ocular lens, which is the lens closest to the eye, is usually 10x.

To calculate the total magnification, you multiply the magnification of the objective lens by the magnification of the ocular lens. For example, if you are using the high-power objective lens with a magnification of 40x and the ocular lens with a magnification of 10x, the total magnification would be: Total magnification = Magnification of objective lens × Magnification of ocular lens

Total magnification = 40x × 10x

Total magnification = 400x

In a light microscope, the objective lens is the primary lens responsible for magnifying the sample being viewed. The four objective lenses mentioned earlier have different magnifications, which allow the user to view the sample at different levels of detail.

The scanning objective lens has the lowest magnification of 4x and is typically used to locate the specimen on the slide. The low-power objective lens has a magnification of 10x and is used for initial viewing of the specimen. The high-power objective lens has a magnification of 40x and is used for more detailed observation of the specimen. The oil-immersion objective lens has the highest magnification of 100x and is used for the most detailed observation of the specimen.

The ocular lens, also known as the eyepiece, is the lens closest to the eye of the viewer. Its magnification is usually 10x, although some microscopes may have ocular lenses with different magnifications.

To calculate the total magnification, you multiply the magnification of the objective lens by the magnification of the ocular lens. It is important to note that the total magnification does not necessarily indicate the resolution of the image. The resolution of the image depends on several factors, including the quality of the optics, the numerical aperture of the objective lens, and the wavelength of the light used to illuminate the sample.

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PLEASE HELP ME ANSWER THIS QUESTION
“But Flynn preceded Casey, as did also Jimmy Blake,

And the former was a lulu and the latter was a cake;

So upon that stricken multitude grim melancholy sat,” (lines 9–11)


What does the figurative language in these lines emphasize?

A. that the crowd thinks Flynn and Blake are poor ballplayers

B. that Flynn and Blake will both hit the ball successfully

C. that there is a large, noisy crowd at the ballpark

D. that the crowd compares ballplayers to cake

Answers

The figurative language in these lines emphasizes the contrast between Flynn and Casey. The use of the similes "lulu" and "cake" to describe Flynn and Blake respectively highlights their success and skill as ballplayers, while also emphasizing the contrast with Casey, who is described as a "strikeout." The phrase "stricken multitude" suggests that the crowd is disappointed by Casey's poor performance and the contrast with the previous successful batters. Therefore, option A, B, and C are not correct. Option D is also not correct as the figurative language is not meant to compare ballplayers to cake, but rather to emphasize their success or lack thereof.

The figurative language in these lines emphasizes the stark contrast between the two previous batters, Flynn and Casey.

The phrase "preceded Casey" implies that Casey is the next batter, and the description of Flynn as a "lulu" (meaning outstanding or remarkable) and Blake as a "cake" (meaning easy or ordinary) highlights the difference in skill or ability between them.

The phrase "upon that stricken multitude grim melancholy sat" suggests that the crowd is feeling a sense of disappointment or despair, perhaps because of the failure of previous batters or the anticipation of the upcoming at-bat.

Therefore, option A, B, and D are not correct. The correct answer is option C, which suggests that there is a large, somber crowd at the ballpark.

How can employees use a code of ethics?
OA. By using it to learn how to negotiate a pay increase
B. By using it to develop new legal responsibilities
C. By referring to it for examples of how to apply ethical standards
OD. By using it to write computer programs that make ethical choices

Answers

Answer:

for this, I would say D

Explanation:

Because instead of deciding what the ethics themselves are, you should set the ethics and create a system that can act on those ethics themselves.

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why are icebergs often surrounded by fog? 1. the evaporation from an iceberg condenses into droplets (fog). 2. the air is dryer near an iceberg. 3. the chilled air in the vicinity of an iceberg results in condensation of water vapor in the air (fog). 4. an iceberg attracts vapor from the surrounding air.

Answers

3. The chilled air in the vicinity of an iceberg results in condensation of water vapor in the air (fog). As the cold air from the iceberg meets the warm, moist air around it, the water vapor in the warm air condenses into tiny droplets, forming fog.

This process is similar to how dew forms on grass in the morning. So, icebergs are often surrounded by fog due to the temperature difference between the air around them and the cold air emanating from the ice.Because icebergs barely float to the surface of the water, when moist air passes over the area, it condenses in the nearby area due to the closeness of the frigid temperatures near the iceberg, giving the area a foggy appearance from the condensed water droplets.The chilled air in the vicinity of an iceberg results in condensation of water vapor in the air (fog). As the cold air from the iceberg meets the warm, moist air around it, the water vapor in the warm air condenses into tiny droplets, forming fog.

Large hills of frozen water known as icebergs barely float to the outermost layer of the water bodies.

The speed (v) and frequency (f) of a wave train in a medium are equal, hence the equation for wavelength is v/f. Lambda is a typical representation of wavelength in Greek.

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Pure water suspended in the atmosphere will freeze at a temperature of:
-40°C
-10°C
0°C
32°F

Answers

Pure water suspended in the atmosphere will freeze at a temperature of  0°C and 32°F. The options 0°C and 32°F are correct.

Pure water when suspended in the atmosphere would freeze at a temperature of 0 C or 32 degrees Fahrenheit under normal atmospheric pressure at sea level. But in some conditions the temperature at which water freezes can vary, this depends upon the atmospheric pressure and the presence of impurities in the water as the water droplets in clouds can remain liquid even at temperatures below freezing if there are impurities present that prevent the water from freezing.

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If the mass of the sun is 3x, at least one planet will fall into the habitable zone if I place a planet in orbits___, ____, ____, and ____, and all planets will orbit the sun successfully.

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When Earth is closer to the sun, there will be hotter climate. A little movement that takes one closer to the sun could lead to a huge impact.

Impact of the distance of the sun

If I put a planet in orbits 2, 6, and 75, all planets will orbit the sun successfully if the sun's mass is 1x, and at least one planet will fall inside the habitable zone.

If I put a planet in orbits 84, 1, and 5, at least one of them will fall into the habitable zone if the sun's mass is 2x, and all planets will orbit the sun successfully.

If I put a planet in orbits 672 and 7, at least one of them will fall into the habitable zone if the sun's mass is 3x, and all planets will orbit the sun successfully.

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What is the focal length of the eyepiece of a Galilean telescope that has an objective focal length of 1.15 mm and a magnification of 3.00

Answers

The focal length of the eyepiece of the Galilean telescope is -0.3833 mm.

The focal length of an optical system is a measure of how strongly the system converges or diverges light; it is the inverse of the system's optical power.

A positive focal length indicates that a system converges light, while a negative focal length indicates that the system diverges light.

To find the focal length of the eyepiece of a Galilean telescope, we can use the formula for magnification, which is:

Magnification (M) = -(Focal length of objective) / (Focal length of eyepiece)

Given the objective focal length ([tex]F_{obj}[/tex]) of 1.15 mm and a magnification of 3.00, we can rearrange the formula to solve for the focal length of the eyepiece ([tex]F_{eye}[/tex]):

[tex]F_{eye} = -F_{obj} / M[/tex]

Now, we can plug in the given values:

[tex]F_{eye}[/tex] = -1.15 mm / 3.00

[tex]F_{eye}[/tex] = -0.3833 mm

The negative sign indicates that the eyepiece is a diverging lens, which is typical for a Galilean telescope.

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Question 55
The presumptive evidence of the presence of coliform in the MPN test is:
a. The color change in the culture media
b. Turbidity of the culture broth
c. The presence of gas from the fermentation of the media
d. Metallic sheen on colonies

Answers

The correct answer is c. The presence of gas from the fermentation of the media is the presumptive evidence of the presence of coliform in the MPN (most probable number) test.

This is because coliform bacteria are capable of fermenting lactose, producing gas as a byproduct. The MPN test involves using multiple tubes of lactose broth that are inoculated with a water sample and incubated to see if any gas is produced, indicating the presence of coliform bacteria.

The presumptive evidence of the presence of coliform in the MPN test is:

c. The presence of gas from the fermentation of the media

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a runner completes one complete lap around a 400m track, and finishes exactly where she started. what is her linear distance with respect to the starting position?

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When a runner completes one lap around a 400m track and finishes exactly where she started, her linear distance with respect to the starting position is zero.

This is because the linear distance is the shortest distance between two points, and in this case, the runner started and ended at the same point.

However, it is important to note that the distance covered by the runner is not zero - she has covered a distance of 400 meters by completing one lap around the track.



It is common for people to confuse linear distance with total distance covered, but they are not the same thing. Linear distance refers to the shortest distance between two points,

while total distance covered refers to the overall distance traveled by an object, regardless of the path taken. In this case, the runner covered a total distance of 400 meters by running one lap around the track,

but her linear distance with respect to the starting position is zero because she ended up at the same point where she started.



In conclusion, the runner's linear distance with respect to the starting position is zero, even though she covered a total distance of 400 meters by completing one lap around the 400m track.

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a binary system that is detected from the drop in luminosity as one star passes in front of the other is called

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A binary system that is detected from the drop in luminosity as one star passes in front of the other is called an eclipsing binary.

An eclipsing binary is a type of binary star system consisting of two stars that orbit around their common center of mass. From the perspective of an observer on Earth, the two stars periodically eclipse each other as they move in front of one another during their orbits. This causes the combined brightness of the system to fluctuate, with the light curve showing a regular pattern of dips in brightness as the stars eclipse each other.

Eclipsing binaries are important astronomical objects because they allow us to measure the physical properties of stars more accurately than would be possible for a single star. By studying the properties of the eclipses, such as their duration and depth, astronomers can determine the sizes, masses, and temperatures of the stars in the system. This information can provide important insights into the evolution of stars and the structure of our galaxy.

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During a clear, relatively calm day, the relative humidity will tend to ________ from sunrise to early afternoon.

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During a clear, relatively calm day, the relative humidity will tend to decrease from sunrise to early afternoon.

During a clear, relatively calm day, several factors can contribute to a decrease in relative humidity from sunrise to early afternoon:

Increase in temperature: As the day progresses from sunrise to early afternoon, the temperature usually rises due to the sun's heat. Warmer air can hold more moisture, so as the temperature increases, the air has a higher capacity to hold water vapor, resulting in a decrease in relative humidity.Evaporation: During the day, the warmth from the sun can cause surface moisture, such as dew or water on leaves or the ground, to evaporate. As the moisture evaporates into the air, it increases the water vapor content in the air, which can lead to a decrease in relative humidity.Mixing of air: During the early hours of the day, the air near the ground is usually cooler and has higher relative humidity due to factors such as dew formation or overnight moisture. However, as the day progresses, the air near the ground and the upper atmosphere tend to mix due to atmospheric processes, leading to a decrease in relative humidity as the moisture gets distributed throughout the atmosphere.

These factors combined can lead to a decrease in relative humidity from sunrise to early afternoon during clear, relatively calm days. However, it's important to note that local weather patterns, geography, and other factors can affect relative humidity, and it may not always follow this general trend.

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when a metal frame is pulled in or out of a magnetic field, a current is induced in the frame. a solid conductor can be through of a set of frames, one inside the other and current loops are also induced in the region where the magnetic field changes. these induced currents are called eddy currents. a oval metal frame and two conducting sheets are moved in or out of the magnetic field as shown. what is the direction of the induced currents in each case?

Answers

To determine the direction of the induced currents, you can use Lenz's Law, which states that the direction of the induced current will always be such that it opposes the change in magnetic field that produced it.

For the oval metal frame: If the frame is moving into the magnetic field, the induced current will flow in a direction that creates a magnetic field opposing the increase in magnetic field inside the frame. Conversely, if the frame is moving out of the magnetic field, the induced current will flow in a direction that creates a magnetic field opposing the decrease in magnetic field inside the frame.

For the two conducting sheets: Similar to the oval frame, when a conducting sheet is moved into the magnetic field, the induced current will flow in a direction that creates a magnetic field opposing the increase in magnetic field inside the sheet. When a conducting sheet is moved out of the magnetic field, the induced current will flow in a direction that creates a magnetic field opposing the decrease in magnetic field inside the sheet.

In each case, the direction of the induced currents will be determined by the direction of movement and the application of Lenz's Law to oppose the change in magnetic field.

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The retentive timer reset (RES) instruction is always given the same address as the timer it resets. true/false

Answers

True. The retentive timer reset (RES) instruction is always given the same address as the timer it resets.

This ensures that the correct timer is targeted and its accumulated value is reset to zero when the RES instruction is executed.The retentive timer reset (RES) instruction is always given the same address as the timer it resets in order to identify the timer being reset. This allows the instruction to reset the timer safely without affecting any other timers in the system.The Retentive Timer Reset (RES) is a feature of a timer that allows it to retain its current value and continue counting or timing after the timer has been reset. This feature is useful in applications where an event needs to be triggered after a certain period of time and the time period needs to be reset or restarted after it has been previously triggered.

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(110-14(c)(1) ) Equipment rated at 100 ampere or less shall have the conductor sized no smaller than _____ degrees C unless the terminals are marked otherwise.

Answers

Equipment rated at 100 amperes or less shall have the conductor sized no smaller than 60 degrees C unless the terminals are marked otherwise.

This means that the equipment should have a conductor (a material that carries electrical current) with a temperature rating of at least 60 degrees Celsius to ensure safe and efficient operation. An ampere is a unit of electric current, and in this case, the rating of the equipment indicates that it is designed to handle a maximum current of 100 amperes.

This means that, for equipment rated at 100 amperes or less, the minimum conductor size is based on the ampacity of a conductor with a 60°C temperature rating, which is typically smaller than a conductor rated for a higher temperature, such as 75°C or 90°C. However, if the equipment's terminals are marked to indicate that they are rated for a higher temperature, the conductor size can be based on the ampacity of a conductor with the appropriate temperature rating, as specified by the equipment manufacturer.

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Question 43 Marks: 1 Exposure of the gonads (ovaries or testes) is necessary to cause genetic effects from ionizing radiation.Choose one answer. a. True b. False

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a. True. Exposure of the gonads (ovaries or testes) is necessary to cause genetic effects from ionizing radiation.

Exposure to ionizing radiation can cause genetic effects without direct exposure of the gonads. Radiation can cause genetic damage to cells as it passes through the body and can be absorbed by any part of the body, including organs, tissues, and cells. When this radiation is absorbed, it can damage the DNA of the cells, leading to mutations and the potential for genetic effects. Therefore, direct exposure of the gonads is not necessary for genetic effects from ionizing radiation.

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Question 75
Which term is used to show the exposure of large populations to low level radiation?
a. Person-rem
b. Gamma-rem
c. Radiation-rem
d. Quantum-rem

Answers

The term used to show the exposure of large populations to low level radiation is "person-rem".

The term used to show the exposure of large populations to low level radiation is Radiation-rem. A rem is a unit of radiation dose equivalent and is equal to 1,000 millirems (mrem). A rem is used to measure the absorbed dose of radiation for a person, and it is calculated by multiplying the absorbed dose in rads by a quality factor that takes into account the type of radiation and its associated health risks. A rem is a unit of measure for the radiation absorbed by the body and is used to evaluate the health effects of radiation exposure. Radiation-rem is the unit of measure used to describe the exposure of large populations to low level radiation.

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a rocket with mass 1.2*10^6 has a relativistic kinetic energy of 2.6*10^23 how fast is the rocket moving toppr

Answers

The rocket is moving very close to the speed of light, with a velocity of approximately 0.99999999999999999997 times the speed of light.

What is Kinetic Energy?

Kinetic energy is the energy possessed by an object due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its current velocity.

We can use the relativistic kinetic energy equation to solve for the velocity of the rocket:

K = (γ - 1)m[tex]c^{2}[/tex]

where K is the relativistic kinetic energy, m is the mass of the rocket, c is the speed of light, and γ is the Lorentz factor, which is given by:

γ = 1 / sqrt(1 - v^2/[tex]c^{2}[/tex])

where v is the velocity of the rocket.

Solving for γ, we get:

γ - 1 = 2.2908*[tex]10^{8}[/tex]

γ = 2.2908*[tex]10^{8}[/tex]+ 1

γ = 2.2908*[tex]10^{8}[/tex]

Substituting γ into the Lorentz factor equation and solving for v, we have:

v = c * sqrt(1 - 1/[tex]γ^{2}[/tex])

v ≈ 0.99999999999999999997c

where c is the speed of light. So the rocket is moving very close to the speed of light, with a velocity of approximately 0.99999999999999999997 times the speed of light.

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5.33: Find the work done by friction. (SI: J)A 1.37kg book slides 1.26m along a level surface. The coefficient of kinetic friction between book and surface is 0.154.

Answers

The work done by friction for a 1.37kg book slides 1.26m along a level surface is -2.66J.

The work done by friction is given by the formula W = -f × d, where f is the force of friction and d is the distance traveled.

The force of friction can be calculated using the formula f = μ × N, where μ is the coefficient of friction and N is the normal force.

Since the surface is level, the normal force is equal to the weight of the book, N = m × g.

Thus, the force of friction is f = μ × m × g.

Plugging in the given values, f = 1.37kg × 9.81m/s² × 0.154 = 2.113N.

The work done by friction is then W = -f × d = -2.113N × 1.26m = -2.66J.

Therefore, the work done by friction is -2.66J.

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The work done by a certain force is given by W(Îx)=aÎx+b(Îx)^3.
Write an expression for the force as a function of Îx.

Answers

The force as a function of Îx is given by F (Îx) = a + 3b(Îx)^2. To write an expression for the force as a function of ξ (Îx), we need to consider that work (W) is the integral of force (F) with respect to displacement (ξ).

Given the work function,

W(ξ) = aξ + b(ξ)^3,

we can find the force function F(ξ) by taking the derivative of W(ξ) with respect to ξ.

Step 1: Differentiate W(ξ) with respect to ξ
dW/dξ = d(aξ + b(ξ)^3)/dξ

Step 2: Apply the power rule to both terms
dW/dξ = a + 3b(ξ)^2

The expression for the force as a function of ξ is F(ξ) = a + 3b(ξ)^2.

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which of the following statements are correct? which of the following statements are correct? all applications of forces require contact between two objects. forces are measured in newtons. a force is a scalar. a force is a push or pull.

Answers

The correct statements are: forces are measured in newtons and a force is a push or pull.


1. All applications of forces require contact between two objects.
- Incorrect. There are non-contact forces, such as gravitational and magnetic forces, that do not require direct contact between objects.
2. Forces are measured in Newtons.
- Correct. The unit used to measure force is the Newton (N).
3. A force is a scalar.
- Incorrect. A force is a vector quantity, not a scalar. This means that it has both magnitude and direction.
4. A force is a push or pull.
- Correct. Forces are interactions that result in a push or pull on objects, causing them to change motion or remain stationary.
In summary, statements 2 and 4 are correct, while statements 1 and 3 are incorrect.

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(310-60(A)) Thermal resistivety is the reciprocal of thermal conductivity; it is designated Rho and expressed in units of ______.

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Thermal resistivity is the reciprocal of thermal conductivity; it is designated Rho and expressed in units of ohm-meters (Ω⋅m).

Thermal resistivity, also known as thermal resistivity coefficient, is a measure of the resistance of a material to the flow of heat. It is expressed in units of kelvin-meters per watt (K·m/W) and is the reciprocal of thermal conductivity, which is the measure of a material’s ability to transfer heat. Thermal resistivity is a property of a material that can be used to predict its performance in applications where significant temperature gradients exist. On the other hand, the lower the thermal resistivity, the higher the rate of heat transfer.

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A 4.8-g bullet leaves the muzzle of a rifle with a speed of 328 m/s. What force (assumed constant) is exerted on the bullet while it is traveling down the 0.75-m-long barrel of the rifle

Answers

The force exerted on the bullet while it travels down the barrel of the rifle is approximately 6317.3 N.

Using the formula for constant acceleration, the force can be calculated by multiplying the mass of the bullet by its acceleration. Therefore, the force exerted on the bullet is equal to the product of the mass of the bullet and its acceleration. In this case, the mass of the bullet is 4.8 g, or 0.0048 kg, and its acceleration is calculated by dividing the square of the muzzle velocity by twice the length of the barrel. Therefore, the force exerted on the bullet is approximately 6317.3 N.

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electromagnetic wave propagating in the z direction has at some instant its electric field vector pointing in the y direction. in which direction does a magnetic field vector point at this instant?

Answers

If an electromagnetic wave propagating in the z direction has its electric field vector pointing in the y direction at a particular instant, then its magnetic field vector would be pointing in the x direction.

An electromagnetic wave consists of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of wave propagation. In your case, the wave is propagating in the z-direction, and the electric field vector is pointing in the y-direction. To find the direction of the magnetic field vector, we can use the right-hand rule. Point your thumb in the direction of wave propagation (z-direction) and your fingers in the direction of the electric field (y-direction). The direction in which your palm faces will give you the direction of the magnetic field vector.
Following this rule, the magnetic field vector will point in the x-direction. So, at this instant, the magnetic field vector is pointing in the x-direction.

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what is the weight of a cubic meter of cork? could you lift it? (use 400 kg/m3 for the density of cork.)

Answers

400 kg is the weight of a cubic meter of cork and lifting it is impossible.

To find the weight of a cubic meter of cork, we need to multiply its density by the volume. In this case, the density is given as 400 kg/m³, and the volume is 1 cubic meter. Here's the calculation:
Weight = Density × Volume
Weight = 400 kg/m³ × 1 m³
Weight = 400 kg
The weight of a cubic meter of cork is 400 kg.
As for lifting it, that would depend on your physical capabilities. For most people, lifting 400 kg is not possible without the help of specialized equipment.

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The weight of a cubic meter of cork can be calculated using the given density of 400 kg/m³. A very strong individual or a team of people working together might be able to lift it, though it would still be a challenging task to find the weight, you simply multiply the volume (1 cubic meter) by the density:

Weight = Volume × Density
Weight = 1 m³ × 400 kg/m³
Weight = 400 kg

So, the weight of a cubic meter of cork is 400 kg. Whether or not you could lift it depends on your physical strength. The average person would likely struggle to lift this weight, as it's well above the recommended limit of 25 kg for manual lifting according to health and safety guidelines.

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is the following statement true or false? a block completely submerged in water experiences greater buoyancy force on earth than on mars, because the gravitational acceleration g is greater on earth.

Answers

The statement is true because the buoyancy force is directly proportional to gravitational acceleration, and Earth's gravitational acceleration is greater than Mars'.



1. Buoyancy force is given by the formula: F_b = V * ρ * g, where F_b is the buoyancy force, V is the volume of the submerged object, ρ is the density of the fluid, and g is the gravitational acceleration.
2. The volume (V) and density (ρ) of the fluid remain constant for both Earth and Mars, as they are inherent properties of the fluid and object.
3. The gravitational acceleration (g) is greater on Earth than on Mars.
4. Therefore, the buoyancy force (F_b) experienced by a block submerged in water on Earth will be greater than that on Mars due to the greater gravitational acceleration on Earth.

A block submerged in water experiences greater buoyancy force on Earth compared to Mars due to Earth's higher gravitational acceleration.

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(324-10(E)) Use of FCC systems in damp locations shall be _____.

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The use of FCC systems in damp locations should be done with caution and only when the equipment is specifically designed and labeled for such use.

According to the National Electrical Code (NEC) Article 100, a damp location is an area that is protected from weather but still subject to moisture. When it comes to using Federal Communications Commission (FCC) systems in damp locations, the NEC requires that they shall be identified for use in such locations.

The identification can be done through a variety of ways, including labels, markings, or instructions that come with the equipment. Additionally, the FCC system should be installed in such a way that it does not come in direct contact with moisture, which can compromise its performance and safety.

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1) What is the diameter of the disk of the Milky Way? A) 100 light-years B) 1,000 light-years C) 10,000 light-years D) 100,000 light-years E) 1,000,000 light-years

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The diameter of the disk of the Milky Way is D) 100,000 light-years. This value has been estimated through various methods, including measurements of the positions and velocities of stars, gas, and other astronomical objects within the galaxy.

The Milky Way is a barred spiral galaxy, meaning it has a central bar-shaped structure surrounded by a disk of stars, gas, and dust. The disk is flattened and rotates around the galactic center, which contains a supermassive black hole. The disk is about 1,000 light-years thick, but its diameter is much larger, extending up to 100,000 light-years from end to end. This means that it takes light approximately 100,000 years to travel from one end of the disk to the other. However, the exact size of the Milky Way is still uncertain, as it is difficult to measure the distance to the outer edges of the disk. Scientists continue to study the Milky Way to better understand its structure and evolution.

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give a reason why supporters of both the big bang and steady state theory accepted that the universe is expanding.

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Answer:

Both the Big Bang and Steady State theories accepted that the universe is expanding because there was observational evidence supporting this idea. In the 1920s, the American astronomer Edwin Hubble observed that distant galaxies were moving away from us, and the farther away they were, the faster they appeared to be moving. This observation suggested that the universe was not static but was expanding.

Supporters of the Big Bang theory interpreted this expansion as evidence that the universe had a beginning and that it started as a small, hot, dense state that has been expanding and cooling ever since. Supporters of the Steady State theory, on the other hand, proposed that new matter was continuously being created in the expanding universe so that the overall density of the universe remained constant over time. However, they still accepted that the universe was expanding based on the observational evidence available at the time.

Therefore, despite their different interpretations of the implications of the expansion, both theories accepted the idea that the universe is indeed expanding based on the available observational evidence.

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