A ball is rolled uphill a distance of 4 meters before it slows, stops, and begins to roll back. The ball rolls downhill 28 meters before coming to rest against a tree. What is the magnitude of the ball’s displacement?

To determine the magnitude and direction of a vector with components vx and vy, use the formulas √(vx² + vy²) and θ = arctan(vy/vx) respectively. Take into account the signs of vy and vx for the right directional value.

The given question involves a vector operation to determine the magnitude and direction of velocity, denoted by 'v'. The vector 'v' has components 'vx=9.80 units' and 'vy=-6.40 units', and we can use these to find the magnitude and direction.

To find the magnitude, you use the formula for the magnitude of a vector: √(vx² + vy²), which in this case gives us v = √((9.80 units)² + (-6.40 units)²). The magnitude of v is the square root of the sum of the squares of vx and vy.

Next, to find the direction of the vector, we can use trigonometric concepts. The formula for the direction (θ) of a vector is θ = arctan(vy/vx). Here, direction stands for the angle the vector makes with the positive x-axis.

Note: Pay attention to the quadrant in which the vector exists based on the signs of vy and vx, to determine the right value for the direction.

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Answer:D

Explanation:

Final answer:

The terms 'sentences' refer to the legal consequences imposed for committing a crime, including prison or jail time. Misdemeanors typically lead to shorter jail sentences, whereas felonies can result in longer incarceration in prison. Alternative sentencing options are also available, such as probation or rehabilitation.

Explanation:

Another name for prison or jail terms is sentences. A sentence is the formal legal consequence imposed by a court upon a person who is convicted of a crime. Misdemeanors are less serious crimes compared to felonies, and they often result in incarceration for one year or less, which typically occurs in a local jail rather than a state or federal prison. Felonies are more serious crimes and can lead to longer periods of incarceration in state or federal prisons. Alternative sentencing options, such as probation, rehabilitation, or home confinement, might also be used instead of jail time, particularly in the case of misdemeanors.

Prisons and jails serve different purposes; jails typically house individuals awaiting trial or serving short sentences, while prisons are for those serving longer sentences. The choice between sentencing someone to jail or prison often depends on the severity of their crime and the length of the sentence imposed.

Answer:

CCCCCCCCCCCCCCCCCC

Explanation:

The acceleration of the book from the given height is 9.8 m/s²

The given parameters;

An object dropped from a certain height, is under the influence acceleration due to gravity.

The acceleration of the book from the given height is equal to acceleration due to gravity.

F = ma = mg

a = g = 9.8 m/s²

Thus, the acceleration of the book from the given height is 9.8 m/s².

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Sarah needs to know also the direction of the airplane.

In fact, the velocity of an object is a vector, which means it has

a) a Magnitude (the speed)

b) a direction

Knowing the distance and the time, Sarah is only able to calculate the speed (which is the magnitude of the velocity), given by

[tex]v=\frac{distance}{time}[/tex]

but in order to give complete information about the velocity, she also needs to know the direction of the airplane.

Answer : The speed of the wave is 0.17 m/s

Explanation :

It is given that,

Wavelength of a wave, λ = 40 m

Time taken, t = 4 minutes = 240 seconds

Frequency, [tex]\nu=\dfrac{1}{T}=\dfrac{1}{240}\ Hz[/tex]

Speed of the wave = frequency × wavelength

v = υ × λ

[tex]v=\dfrac{1}{240}\times 40[/tex]

v = 0.167 m/s

or v = 0.17 m/s

The speed of the wave is 0.17 m/s

Hence, this is the required solution.

Mixtures with floating particles are called suspensions, where larger particles don't dissolve and eventually settle. Examples include muddy water and orange juice with pulp.

Mixtures that have floating particles are called suspensions.

- Colloids: These are mixtures where particles are evenly dispersed but do not settle out. Examples include milk and fog.

- Emulsions: These are mixtures of immiscible liquids, like oil and water, where one liquid is dispersed throughout the other in the form of small droplets. Examples include mayonnaise and vinaigrette.

- Solutions: These are homogeneous mixtures where one substance (solute) is dissolved in another (solvent) at the molecular level. Examples include saltwater and sugar dissolved in water.

- Suspensions: These are heterogeneous mixtures containing large particles that will eventually settle out over time. Examples include muddy water and orange juice with pulp.

Since you asked for the one with floating particles, the correct answer is suspensions.

Answer: 100%

Explanation:

Efficiency = output/input = 100/100 x 100 = 100% efficient

Machines are not 100% efficient because some of the work done by a machine is used to overcome friction. So work output is always less than work input.

Work: Done by machines is calculates as Mechanical Efficiency which is Work Output divided by Work Input.

Answer: A velocity is correct

The velocity of a jet plane that travels 528 meters east in 4 seconds is calculated using the formula v=d/t. Substituting the given values we get the velocity as 132 meters per second east.

To calculate the velocity of the jet plane, we will use the straightforward formula for velocity. According to physics, velocity (v) is equal to the displacement divided by the time taken, v = d/t. In this case, the jet plane travels 528 meters east in 4 seconds. So we will substitute these values into the formula to find the velocity. Velocity = 528 meters / 4 seconds = 132 meters per second. Thus, the velocity of the jet plane is 132 meters per second towards the east.

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Answer:

Final speed of the stone, v = 35 m/s

Explanation:

It is given that,

Initial speed of the stone, u = 5.6 m/s

Let v is the velocity of the stone after 3 seconds have passed. It is moving down under the action of gravity. So, using the first equation of motion as :

[tex]v=u+at[/tex]

[tex]v=u+gt[/tex]

[tex]v=5.6+9.8\times 3[/tex]

v = 35 m/s

So, the final speed of the stone is 35 m/s. Hence, this is the required solution.

Final answer:

The volume of the reservoir containing 22.0 acre-ft of water is approximately 89031.92 cubic meters (m³).

Explanation:

To find the volume in SI units of a reservoir containing 22.0 acre-ft of water, we need to convert the given volume from acre-ft to cubic meters (m³).

First, let's convert 1 acre to square meters (m²). We know that 1 acre is equal to 43,560 square feet (ft²). Therefore, 1 acre is equal to 43,560 ft² * (1 m² / 10.764 ft²) = 4046.86 m² (rounded to two decimal places).

Next, we convert 1 acre-ft to cubic meters. Since 1 acre-ft is defined as the volume that covers an area of one acre to a depth of one foot, we multiply the area in square meters (4046.86 m²) by the depth in feet. Therefore, 1 acre-ft is equal to 4046.86 m² * 1 ft = 4046.86 m³ (rounded to two decimal places).

Finally, to find the volume of the reservoir containing 22.0 acre-ft of water, we multiply the conversion factor (4046.86 m³/acre-ft) by 22.0 acre-ft.

22.0 acre-ft * 4046.86 m³/acre-ft = 89031.92 m³ (rounded to two decimal places).

Therefore, the volume of the reservoir containing 22.0 acre-ft of water is approximately 89031.92 cubic meters (m³).

Metals are good conductors of temperature and electricity. The electric iron can be used to remove the wrinkles on cloth as they can conduct heat and transfer it.

Metals are electropositive elements in periodic table. Metals have peculiar features such as malleability, ductility, luster , conductivity. etc. The most important property of metals being their higher conductivity of heat and electricity.

Metals are composed of particles strongly connected with metal - metal bonds. Hence, heat energy can be easily passed through the close packed system as well through the voids of the metal lattice.

Therefore, they can removes the wrinkles on cloth by high heat. Iron is a transition metal and is a good conductor. It is used in iron boxes to stiffen clothes by high heating.

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The temperature is lower, so the tire contracts.

Because the axis is tilted

Scientific knowledge develops through making observations about the natural world. An observation may generate a scientific question, which may lead to a hypothesis. The hypothesis can be tested through experimentation. The results of experimentation lead to changes in scientific knowledge.

edgen answer

Scientific knowledge develops through making observations about the natural world by doing experiments and scientific investigation.

Scientific investigation is the process of looking for answers by doing extensive research and finding the answers through experimental results.

The scientific investigation very much relies on true experimental results that can be supported by evidence.

As theories and propositions are developed, tested against observations of the natural world throughout time, and refined in response to new information and findings, scientific knowledge is accumulated.

Conducting observations about the natural world is how science learns. A discovery could spark a hypothesis-generating scientific inquiry. Experiments can be used to verify the theory. The outcomes of experiments alter our understanding of science.

Thus, Scientific knowledge develops through making observations about the natural world by doing experiments and scientific investigation,

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Centripetal acceleration is the acceleration of an object moving in a circle directed towards the center, as part of uniform circular motion.

Centripetal acceleration is the acceleration of an object moving in a circle, directed toward the center. It is always present in uniform circular motion, causing the object's velocity to constantly change direction.

Final answer:

The most important element of the plot in Lord of the Rings is the journey and quest undertaken by the main characters to destroy the One Ring and defeat the Dark Lord Sauron.

Explanation:

The most important element of the plot in Lord of the Rings is the journey and quest undertaken by the main characters to destroy the One Ring and defeat the Dark Lord Sauron. Throughout the story, this quest drives the actions and decisions of the characters and shapes the overall narrative. The plot is structured linearly and chronologically, following the progression of events as the characters travel through Middle-earth to fulfill their mission. The plot of Lord of the Rings is believable within the context of its fantasy genre, as it incorporates elements of magic, mythical creatures, and a richly imagined world.