The level of water in an olympic size swimming pool (50.0 meters long, 25.0 meters wide, and about 2.00 meters deep) needs to be lowered 6.50 cm. if water is pumped out at a rate of 4.20 liters per second, how long will it take to lower the water level 6.50 cm

The time of flight of an object is only limited by its vertical velocity, since gravity only works to pull an object down towards the earth.

The terms speed and velocity  give us an idea of ​​how fast or slow an object is moving. We often come across situations where we need to identify which of  two or more objects is moving faster. The faster of them can be easily distinguished if they move in the same direction on the same road. However, if their direction of movement is opposite, it is difficult to determine the fastest. In such cases, the concept of speed is useful.

The horizontal velocity remains unchanged. So by running prior to throwing the ball, the person can impart and even faster initial horizontal velocity to the ball. So, although the ball still travels for the same amount of time through the air, it travels at a faster horizontal velocity and, therefore, travels a farther horizontal distance.

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The shadow cast by a simple stick or obelisk allowed ancient people to keep track of time, establish different moments during the day, and with a little more precision, establish hours.

Time is a property of life that always goes on, it never stops. Since the beginning of time, humans have wanted to measure time and keep track of it. This idea was possible since we live in a periodic world, because we have a new day every 24 hours, and a ney year every 365 consecutive days.

In ancient times, we didn't have clocks that could tell us the time, so humans used the tools that they had at hand to do this. The most widespread tool that all could afford to use was the Sun, and they used it because the Sun rises everyday from the East and rests everyday at the west, more or less at the same time (at least in the Ecuador).

Therefor due to this periodic motion, ancient civilizations could keep track of at least some moments of the day, like when the Sun is at its highest point, or when the shadow done by an object is equal to the object's length. This was a rough but powerful idea, and then with the invention of other more precise tools (like sand clocks), they could keep track of specific lengths of time. Joining both principles together, the Sun clock was born.

In today's time, some of those Sun clocks are still seen (mostly as a way of decoration on parks), however they are a reminder of how things were done in the old days.

Time, Sun, solar clock, sand clock

Answer:

7,200 watts

Explanation:

The following situation occurs:

The two objects are brought close to each other (but they do not touch). Object B must be negatively charged: in this case, for induction, the positive charges on object A migrate towards the side of the object closer to object B, while the negative charges migrate to the other side. Then, object A must be connected to the ground, so that the negative charges migrate to the ground: therefore, an excess of positive charges remain on object A, which is now positively charged.

Answer:

a positive charge will transfer from object b

Explanation:

a positive charge will transfer from object b to object a making a positively charged

Have a good day = )

John and mary are skating at an ice rink. john skates at a constant speed of 6.7 m/s, with respect to the ice surface, directly south, Mary's velocity with respect to John is approximately 10.06 m/s at an angle of 102.04° south of due south.

We may use vector addition to determine the size and direction of Mary's velocity relative to John.

While John's velocity is solely in the south, Mary's velocity can be depicted as a vector moving in the south-west.

Let's break down Mary's velocity into its south and west components:

- Mary's southward velocity component [tex](\(v_{\text{south}}\)) = \(10.9 \, \text{m/s} \cdot \sin(28^\circ)\)[/tex]

- Mary's westward velocity component [tex](\(v_{\text{west}}\)) = \(10.9 \, \text{m/s} \cdot \cos(28^\circ)\)[/tex]

Now, to find Mary's velocity with respect to John, we subtract the components of John's velocity:

- Mary's velocity with respect to John [tex](\(v_{\text{MJ}}\)) = \((v_{\text{south}} - v_{\text{J}}) \hat{i} + v_{\text{west}} \hat{j}\)[/tex],

where [tex]\(v_{\text{J}} = 6.7 \, \text{m/s}\)[/tex] is John's velocity.

Calculate the components and magnitude of Mary's velocity with respect to John:

[tex]\(v_{\text{MJ}} = (10.9 \, \text{m/s} \cdot \sin(28^\circ) - 6.7 \, \text{m/s}) \hat{i} + 10.9 \, \text{m/s} \cdot \cos(28^\circ) \hat{j}\)[/tex]

[tex]\(v_{\text{MJ}} \approx -2.18 \, \text{m/s} \hat{i} + 9.76 \, \text{m/s} \hat{j}\)[/tex]

Magnitude of [tex]\(v_{\text{MJ}}\) = \(\sqrt{(-2.18 \, \text{m/s})^2 + (9.76 \, \text{m/s})^2}\)[/tex]

Magnitude of [tex]\(v_{\text{MJ}} \approx 10.06 \, \text{m/s}\)[/tex].

Now, to find the direction of Mary's velocity with respect to John [tex](\(\theta\)):[/tex]

[tex]\(\theta = \arctan\left(\frac{v_{\text{MJ,y}}}{v_{\text{MJ,x}}}\right)\),[/tex]

Calculate the direction angle:

[tex]\(\theta \approx \arctan\left(\dfrac{9.76 \, \text{m/s}}{-2.18 \, \text{m/s}}\right)\)[/tex]

[tex]\(\theta \approx -77.96^\circ\).[/tex]

Thus, since the direction is measured relative to due south, the direction of Mary's velocity with respect to John is approximately [tex]\(180^\circ - 77.96^\circ = 102.04^\circ\)[/tex] south of due south.

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Final answer:

Mary's velocity with respect to John is 5.56 m/s at 33° west of south.

Explanation:

To find Mary's velocity with respect to John, we need to find the vector difference between Mary's velocity and John's velocity. We can break Mary's velocity into its north and east components, where the north component is 10.9cos(28°) and the east component is 10.9sin(28°). John's velocity is directly south, so his velocity has no east component and his south component is 6.7 m/s.

The north component of Mary's velocity relative to John is 10.9cos(28°) - 6.7 = 4.81 m/s, and the south component is 10.9sin(28°) so the magnitude of her velocity with respect to John is √((4.81)² + (10.9sin(28°))²) ≈ 11.60 m/s.

The angle can be found using tan⁻¹((10.9sin(28°))/(4.81)) ≈ 32.75°. So, the direction of Mary's velocity with respect to John is 180° - 32.75° ≈ 147.25° west of south, which can be rounded to 33° west of south.

This is what I wrote for my project on this exact question! Hope this helps!

Now, Jane and John are in a different situation, observing stars through a telescope. The Doppler effect is also true for light emitted by stars, but instead of hearing the difference, you see the difference in their color. You know if a star is coming or going from the color it emits. Based on how close and in what direction the star is moving, the star can look very different. One person could be looking at a star and see a red color light being emmited from the star. This basically means the star is traveling in the direction of the person viewing it. This person could also see another star and see a blue color light being emmited from the star. This simply means the star in traveling away from the person viewing it.

    Also, of course the size could be different based on how close the star is. We know all stars are extremely far away from earth but you can tell if a star is closer to earth than another star based on if it is relatively larger than than other star and if it is brighter. To John, the star he sees has a blue light so his star is traveling away from him. However, to Jane her star has a red light which means that star is traveling towards the earth. To summarize, Jane's star has a red light and is traveling towards the earth while John's star star has a blue light and is traveling away from the earth. This is also a prime example of the Doppler Effect in motion. The stars look different because they are traveling in different directions.

Final answer:

The chemical formula for mercury(I) nitrate is Hg2(NO3)2, featuring a Hg₂²+ dimeric cation.

Explanation:

The chemical formula for mercury(I) nitrate is Hg2(NO3)2. This compound is created when a large excess of mercury reacts with dilute nitric acid. Mercury(I) compounds are unique because they contain a Hg₂²+ ion, which is a dimeric cation where two mercury atoms are bonded together, each with a +1 oxidation state, giving the overall molecule a +2 charge. It's important to note that the compound must be handled with care due to the toxicity of mercury compounds.

Considering a box sitting in the back of a pickup. The pickup accelerates to the right, and because the bed of the pickup is sticky, the box does not slide around the truck when this happens. But the force acting on the box is left.

Force is responsible for the motion of an object. it produces acceleration in the body. According to newton's second law force is mass times acceleration i.e. F =ma. Its SI unit is N which is equivalent to kg.m/s².

There are two types of forces, balanced force and unbalanced force.

When Net force acting on a body is zero then we call it as balanced force. .

Unbalanced forces are those when resultant of all the forces is not equal to zero is called as unbalanced force. unbalanced force is responsible for the motion of the body.

Whatever we are talking about force in this problem is called as pseudo force, it same as we feel in the bus when we are standing in the bus suddenly driver brakes we go ahead in the bus or we feel forward force.

Pseudo force is not actual force but it can felt, centrifugal force is a type of pseudo force.

In this problem, as pickup accelerates, according to newtons first law box in the pickup tend to have its original velocity(0 if pickup is at rest or v when it is in motion). because of this when pickup accelerates right, box feel pseudo force in the opposite direction(Left).

Hence left is correct.

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Answer:

Theories are not opinions.

Explanation:

Theories are all of them tested, with the scientific method in order to be accepted or refuted, then Laws are tested and are observable by any means all around the globe, the only option that is actually correct would be that Theories are not opinions because they are scientific statements that can be tested.

Answer:

theories are not opinions

Explanation:

We have that the magnitude of the electric force that the proton exerts on the electron

[tex]F=5.45*10^{-10}N[/tex]

From the question we are told that

proton and an electron are separated by 6.5 Ã 10â10 m

Generally the equation for the Force  is mathematically given as

[tex]F=\frac{kq_1q_2}{r^2}\\\\F=\frac{9*10^{9}*(1.6*10^{-19})^2}{(6.5*10^{-10})^2}[/tex]

[tex]F=5.45*10^{-10}N[/tex]

Therefore

the magnitude of the electric force that the proton exerts on the electron

[tex]F=5.45*10^{-10}N[/tex]

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Answer:

B. connect the multimeter between points C and D and measure the resistance with switch S1 open.

Explanation:

multimeter is a device which is used to measure the resistance of wire across which it is connected.

Here we need to connect the two ends of the multimeter across the two ends of resistance and then it's reading is to be measured.

Here we need to take care that while measuring the resistance the circuit resistance current must not flow through it.

So here we need to make sure that switch S1 must be open while measuring the resistance

so correct answer will be

B. connect the multimeter between points C and D and measure the resistance with switch S1 open.

Final answer:

The question addresses the impact of intense cockpit noise on pilots and the importance of hearing protection, touching on noise levels during different flight phases and potential active noise reduction solutions.

Explanation:

The question provided by the student relates to the subject of Physics, specifically concerning the topic of sound intensity levels and the effects of noise exposure on human hearing. High levels of cockpit noise can have detrimental effects on pilots, as they are exposed to these intense noise levels for prolonged periods. It is mentioned that jet aircraft noise during climb, cruise, and descent can vary, with levels sometimes reaching well above the recommended guidelines for noise exposure. The importance of ear protection is highlighted, as prolonged exposure even at 85 decibels (dB) without hearing protection can lead to hearing damage. For instance, exposure to 100 dB noise, such as the take-off of a jet plane, can lead to noise-induced hearing loss. Active noise reduction techniques, including headphones that use destructive interference, can significantly lower noise levels by as much as 30 dB, providing a potential solution to protecting pilots' hearing.

Answer:

(a) 33.52 m/s

(b) 16.46 m/s downward

Explanation:

To find the initial speed of the rocket, we can use the kinematic equation:

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

where:

In this case:

Therefore:

[tex]10 = u + (-9.8)(2.4)[/tex]

[tex]10 = u - 23.52[/tex]

[tex]u = 10 + 23.52[/tex]

[tex]u = 33.52 \textsf{ m/s}[/tex]

So, the speed of the rock at launch is 33.52 m/s.

We can use the same kinematic equation to find the speed at t = 5.1 s:

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

[tex]v = 33.52 + (-9.8)(5.1)[/tex]

[tex]v = 33.52 - 49.98[/tex]

[tex]v = -16.46 \textsf{ m/s}[/tex]

The negative sign indicates that the rock is moving downward at this time.

So, 5.1 seconds after launch, the speed of the rock is 16.46 m/s downward.

The stone, thrown upward with an initial speed of 128 feet per second, will reach a maximum height of 256 feet before gravity causes it to fall back to the ground.

In the given problem, the stone is thrown upward from the ground with an initial speed of 128 feet per second. We can use the equations of motion to determine how high the stone will go. The height, h, reached by the stone can be calculated using the formula h = (v^2) / (2g), where v is the initial velocity and g is the acceleration due to gravity which is approximately 32.2 feet per second per second in standard units. Subbing in the values, h = (128^2) / (2*32.2) = 256 feet.

Therefore, the stone will reach a maximum height of 256 feet. This is the maximum height the stone reaches before it starts falling back to the ground due to gravity.

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The stone will reach a maximum height of 256 feet.

A stone is thrown upward from ground level with an initial speed of 128 feet per second. To determine how high it will go, we can use the kinematic equation:

v² = u² + 2as

where:

v is the final velocity (0 ft/s at the highest point)

u is the initial velocity (128 ft/s)

a is the acceleration (-32 ft/s² due to gravity)

s is the displacement (height)

Rearranging the equation to solve for s:

0 = (128)² + 2(-32)s

0 = 16384 - 64s

64s = 16384

s = 256 feet

Therefore, the stone will reach a maximum height of 256 feet.

Answer: Option c: original length of wax.

In an experiment, there are three types of variables: independent, dependent, controlled or constant.

Independent variables are the ones which do not change but can be changed by the scientist. dependent variables are the ones which change when the independent variables change. This is what a scientist observes. Constant variables are the conditions which are kept the same through out the experiment.

In the given experiment, the type of wire used, the length of the wire, thermal conductivity of the wire are independent variables. The time for which the wire is dipped in the hot water, the temperature of the water are controlled variables.

The original length of the wax is a dependent variable. This is because, as the wire is changed, depending upon the thermal conductivity of the wire, the original length of the wax changes.

Actually, here’s more explaining for this question. In the given experiment, the students are investigating whether copper is a better thermal conductor than steel. To do this, they take a copper wire and a steel wire of the same length and diameter. They put equal lengths of wax on one end of each wire and dip the other end into a beaker of hot water. They then observe the length of wax left on the wires after 10 minutes.In this experiment, the dependent variable is the original length of wax. The reason for this is that the length of wax left on the wires after 10 minutes will vary depending on the thermal conductivity of the wire. The independent variables in this experiment are the type of wire used (copper or steel) and the original length of the wire. The students have control over these variables and can choose to use either copper or steel wire of the same length and diameter.The controlled variables in this experiment are the time for which the wire is dipped in the hot water and the temperature of the water. These variables are kept constant throughout the experiment to ensure that any changes in the length of wax can be attributed to the thermal conductivity of the wire and not to other factors. So, to summarize, the dependent variable in this experiment is the original length of wax, while the independent variables are the type of wire used and the original length of the wire. The controlled variables are the time for which the wire is dipped in the hot water and the temperature of the water. Therefore, option C is your answer.

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Light takes approximately 8 minutes and 20 seconds to travel from the Sun to Earth.

Light travels from the Sun to the Earth at approximately 300,000 kilometers per second. The average distance from the Sun to Earth is about 150 million kilometers. To calculate the time it takes for light to travel this distance, we can use the formula:

Time (seconds) = Distance (kilometers) / Speed of light (kilometers/second)

We divide 150,000,000 kilometers by 300,000 kilometers/second to find the time it takes light to travel from the Sun to Earth:

Time = 150,000,000 km / 300,000 km/s = 500 seconds

Now, we convert seconds into minutes:

Time = 500 seconds / 60 seconds/minute = 8 minutes and 20 seconds

Thereby, it takes light approximately 8 minutes and 20 seconds to travel from the Sun to Earth, a fact that gives us a practical understanding of the vastness of space within our solar system.

Archimedes' principle states that a completely submerged object always displaces its own volume of water, creating an upward buoyant force.

In physics, an object that is completely submerged underwater will always displace its own volume of water.

This is known as Archimedes' principle, which states that the buoyant force acting on an object is equal to the weight of the fluid it displaces.

For example, if a 1 liter object is submerged in water, it will displace 1 liter of water. This displacement results in an upward force, called the buoyant force, that opposes the weight of the object.

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Answer : Distance, d = 40 mi.

Explanation :

It is given that,

Fiora starts riding her bike at 20 mi/h. after a while, she slows down to 12 mi/h and maintains that speed for the rest of the trip. the whole trip of 70 mi takes her 4.5 h.

Let for t hours she traveled at 20 mi/h. So, for ( 4.5 - t) h she has traveled with a speed of 12 mi/h.

We know that,

distance covered = speed × time

20 mi/h × t +12 mi/h (4.5 h - t) = 70 mi

t = 2 h

So, the distance covered in 2 h is, d = 20 mi/h × 2 h = 40 mi.

Hence, this is the required solution.

Answers:

Average speed = 8.33 yard/s

Average velocity = 2.78 yard/s

Explanation:

1) Definitions and equations:

i) Average speed = distance run / time elapsed

ii) Average velocity = displacement / time elapsed

iii) displacement = [final position - initial position]

2) Distance run:

i) Take a total length of 100 yards from goal to goal lines

ii) distance run = distance from goal to goal lines + back to yard 50 = 100 yards + 50 yards = 150 yards

3) Average speed = distance run / total time = 150 yards / 18.0s = 8.33 yard/s

4) Displacement:

final position - initial position = 50 yard - 0 yard = 50 yards

5) Average velocity = 50 yards / 18.0 s = 2.78 yards/s