Use the law of conservation of energy (assume no friction nor air resistance) to determine the kinetic and potential energy at the various marked positions along the roller coaster track below: KE= ME PER KE PE=20 000J KE=25 000J PE= mgh PE=_ KE= KE KE=OJ PE-7 500J PE=5 000J PE- D Ε. Voc KE=/m 12 KE- PEN KE=_ PE=__ KE=40 000J PE=OJ What is the total mechanical energy of the roller coaster throughout the ride? Explain how you determined ME.​

(b) The classical kinetic energy underestimates the experimental value by 1% at speed u = 0.115c.

(c)  The classical kinetic energy underestimates the experimental value by 5% at speed u = 0.257c.

(d) The classical kinetic energy underestimates the experimental value by 50% at speed u = 0.786c.

Kinetic energy, which may be seen in the movement of an object, particle, or group of particles, is the energy of motion.

The classical kinetic energy is given as:

K(c) = (1/2)mu² = (1/2)mc²(u/c)² = (4.5 × 10 ¹⁶) (u/c)²

The actual kinetic energy of the object is given as:

K(r) = [ (1 /(√1-(u/c)²) - 1]mc² = ( 9 × 10⁶)[ (1 /(√1-(u/c)²) - 1]

(b) The speed at which the classical kinetic energy underestimates the experimental value by 1% is:

K(c) = 0.99K(r)

When (1/2) (u/c)² = 0.990 [ (1 /(√1-(u/c)²) - 1]

Solving this we get,

u = 0.115c

(c) Similarly energy underestimates experiment value by 5% :

K(c) = 0.950K(r)

When u = 0.257c

(d) Energy underestimates experiment value by 50% :

Then,

K(c) = 0.500 K(r) when the speed is u = 0.786c

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The net force on the room door to the hallway. the door size is 8 ft by 3 ft due to an exhaust fan keeps a room’s pressure at a vacuum pressure of 10 inch of water is 5.554 Newton approximately.

The pressure(P) on the object is the amount of force applied per unit area.

Mathematically, the force(F) can be written in terms of pressure and area(A) as:

F = PA

Here the given data is:

A = [tex]8\ ft\times 3\ ft[/tex]

   = [tex]2.4384\times 0.9144 \ m^2[/tex]

P = [tex]10\ \text{inch of water}[/tex]

  = [tex]0.254 \times 9.80638 \ Pa[/tex]

Therefore the force can be written as:

F = [tex]0.254 \times 9.80638 \times 2.4384\times 0.9144[/tex]

  [tex]\approx 5.554 \ N[/tex]

Hence, the Net force is 5.554 Newton approximately.

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Minerals are non–renewable natural resources that are vital for the construction, manufacturing and energy industries. The aim of sustainable mineral development is to ensure mineral use is kept to a minimum amount without having a negative impact on economic growth. This is achieved by efficient use of minerals as well as recycling and the use of alternative materials.

Also, it is important that the natural environment is protected from damage that may be caused by mineral extraction. This will help maintain biodiversity and ensure that contamination is not a problem for future generations. Mineral planning at local, regional, national and EU level ensures the environment is protected and that resources are used sustainably. Recycling, reuse, and conservation of energy and mineral resources are important in achieving these goals.

The option 4 best describes the second type of spiral galaxy.

In a spiral galaxy, the revolving disc is surrounded by spiral 'arms' that extend outward from a compact center area. With yellowish bulges in the middle, spiral galaxies look as flat, blue-white disks of stars, gas, and dust.

These galaxies are classified into two types: regular spirals and barred spirals.

Regular spiral galaxies have a complicated structure: a large central bulge at the center of a revolving disc with a spiral structure that originates at the bulge. Spiral galaxies are encircled by sparsely populated halos, which are approximately spherical areas above and below the plane of the discs. In contrast to regular spiral galaxies, barred spirals have arms that link to the two ends of a straight bar of stars that has a nucleus at its center.

Thus, option 4 best describes the second type of spiral galaxy.

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Two types of spiral galaxies exist. A normal spiral galaxy is one kind. Which phrase best describes the second type of spiral galaxy?

Mars Retrograde Happens Every Two Years

As seen from the Earth(observer), the planets don't always make steady progress along the ecliptic(Path of the planets). They usually move in the same direction as the Sun (i.e., eastward), but from time to time they seem to slow down, stop, and reverse direction (i.e., move westward). This apparent reversal is called retrograde motion.

Apparent retrograde motion occurs when the observer (Earth) and the retrograding object (e.g., Mars) align with the Sun. Retrograde motion is an illusion  created when we observe other planets from the moving planet Earth.

Example:

A familiar example of retrograde motion occurs when you pass a car on the freeway, the car being passed appears to move backwards relative to you.

For the planet mars, it takes almost two years to observe this kind of motion.

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According to the thrust force, the acceleration is 0.001 m/s².

We need to know about force to solve this problem. According to second Newton's Law, the force applied to an object will be proportional to mass and acceleration. Hence, it can be written as

F = m . a

where F is force, m is mass and a is acceleration

From the question above, we know that

F = 1 N

m = 1000 kg

By substituting the given parameters, we can calculate the acceleration

F = m . a

1 = 1000 . a

a = 1/1000 m/s²

a = 0.001 m/s²

Hence, the acceleration is 0.001 m/s².

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The fitness industry that is among the easiest to avoid for people who want to get and stay fit is the industry of losing weight.

This is because fitness training includes anything from cardiovascular exercises, like running, jogging, etc to strength training like bench presses, deadlifts, squats, etc.

However, when it comes to losing weight, this involves a variety of exercises and this can be difficult and takes time, hence, people tend to avoid it.

This refers to the process of working out or engaging in exercises in order to be in a healthy state and well-being.

Hence, we can see that The fitness industry that is among the easiest to avoid for people who want to get and stay fit is the industry of losing weight.

This is because fitness training includes anything from cardiovascular exercises, like running, jogging, etc to strength training like bench presses, deadlifts, squats, etc.

However, when it comes to losing weight, this involves a variety of exercises and this can be difficult and takes time, hence, people tend to avoid it.

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As the spacecraft nears the moon, its gravity will increase.

This is because the gravitational force between objects is inversely proportional to their distances from each other.

The gravitational force between a spacecraft and moon will also increase as they get closer together due to tidal forces. Tidal forces are caused by differences in water levels at either side of an object and are strongest when two objects are close together (i.e., when they're orbiting).

Therefore, When a spacecraft is close to the moon, the gravitational force between it and the moon will increase.

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The distance Doug travelled is 151.2 miles

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

With the above formula, we can determine the distance. Details below

From the question given above, the following data were obtained:

The distance Doug travelled can be obtained as follow:

Speed = Distance / time

Cross multiply

Distance = speed × time

Distance = 42 × 3.6

Distance = 151.2 miles

Thus, the distance he travelled is 151.2 miles

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Complete question:

Doug rides a motorcycle at an average speed of 42 miles per hour for 3.6 hours. What is the distance he travels in miles?

By using centripetal force, the tangential speed is 1.35 m/s.

We need to know about centripetal force to solve this problem. The centripetal force is a force caused by moving objects in a circular motion. The magnitude of the centripetal force depends on tangential speed, mass and radius. It can be written as

Fc = m . v² / r

where Fc is the centripetal force, m is mass, v is tangential speed and r is the radius.

From the question above, we know that

m = 650 kg

r = 21 m

Fc = 56 N

By substituting the given parameters, we get

Fc = m . v² / r

56 = 650 . v² / 21

v² = 1.81

v = 1.35 m/s

Hence, the tangential speed is 1.35 m/s.

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Answer:

A. 1.3 m/s

Explanation:

Person above is correct!

Attached these other pictures just incase. : )

For the last picture its is:

✔ V

✔ W

✔ Y

Answer:

It is the only commercial rocket to ever launch humans to orbit. On 24 January 2021, Falcon 9 set a record for the most satellites launched by a single rocket, carrying 143 into orbit.

...

Falcon 9.

Size

Burn time FT: 162 seconds v1.1: 180 seconds v1.0: 170 seconds

Propellant LOX / RP-1

The student's shoulder supports the weight of the bag.

Free-body diagrams are utilized to display the relative direction and strength of all forces that are being applied to an item in a certain scenario. A unique illustration of the geometric diagrams that were covered in a previous lesson is the free-body diagram. We will make use of these graphics throughout the entire study of physics.

A university student is carrying a backpack. One strap is hanging the rucksack immobile from one shoulder.

The weight of the backpack is balanced by the shoulder of the student.

The free-body diagram is attached below.

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The interference pattern remains unchanged when  the diffraction of electrons passing through two closely spaced slits if the rate of electrons going through the slits is decreased to one electron per hour.

Interference pattern is the overall pattern that results when two or more waves cancel each other, generally showing areas of constructive and destructive interference

When one electron interferes with itself, it creates an interference pattern. According to the quantum mechanical theory, the electron simultaneously occupies two different states and simultaneously passes through two different slits at the same time which causes interference. Therefore, the interference pattern is going to be same, even if the rate of electrons  going through the slits is decreased.

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Answer:

True

Explanation:

Answer:TRUE

Explanation:

By converting the unit, the gas needed to complete a 142 km trip is 11.15 liters.

We need to know how to convert from mile and gallon to km and liter units to solve this problem. The conversions unit is

1 mile = 1.60934 km

1 gal = 4.54609 liter

From the question above, we know that:

gas mileage = 36 mi / gal

distance = 142 km

Convert the gas mileage to km/l

gas mileage = 36 mi / gal

gas mileage = 36 x  1,60934/4.54609  km/l

gas mileage = 12.74 km/l

Find the required gas

required gas = distance / gas mileage

required gas = 142 / 12.74

required gas = 11.15 liters

Hence, the gas needed to complete a 142 km trip is 11.15 liters.

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given l=0.44m ,I=8.8A

a)the magnetic field produced by each side of square is given by

B =(μ₀I/4πa)(sinθ₁-sinθ₂)

where θ₁=45° ,θ₂=-45° and a=l/2

each side produces a field into the page .the four sides altogether  produce

B₍center₎=4B =4(μ₀I/4πa)(sinθ₁-sinθ₂) =(μ₀I/π(l/2))(sin45-sin45)

B ₍center₎ =(2√2μ₀I/π1)

B ₍center₎ =2√2*4π*10⁻⁷*8.8/π*0.44 =2.26*10⁻⁵T or 22.6μT into the page

b)now the conductor is reshaped into single turn circular coil.

for single turn circular coil 41=2πR =>R=21/π

B =μ₀I/2R =μ₀I/2(21/π) =μ₀πI/41

B =4π*10⁻⁷*π*8.8/4*0.44 =1.974*10⁻⁵T or 19.74μT.

A conductor permits current to pass through it effortlessly. On the surface of conductors, there is an electric charge.

When held in a magnetic field, conductors do not retain energy. Electrons make up the current. In contrast, an insulator blocks the flow of electricity via it.

Conductors are classified into four types: excellent conductors, semiconductors, resistors, and non-conductors.

Metals, aqueous salt solutions (ionic chemicals dissolved in water), graphite, and the human body are all examples of conductors.

Most metals are thought to be good electrical current conductors. Copper is simply one of the most common materials used in conductors. Silver, gold, and aluminum are other materials that are occasionally employed as conductors.

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The average velocity for the time period beginning when t=1 and lasting

(i) 0.01 seconds = 63.84 ft/s

(ii) 0.001 seconds = 63.984 ft/s

Given that a ball is thrown with an initial velocity = 80 ft/s

Let 'y' be the height in feet after 't' seconds.

Given,  [tex]y=80t-16t^2[/tex] gives the height in 't' seconds.

Average velocity = Rate of change of distance

                             = Change in distance/Change in time.

The initial time can be taken as 0 s.

When t =1 s, y = 80 - 16 = 64 ft

(1)  t = 0.01 s

    y = 80 x 0.01 - 16 x 0.01 x 0.01 = 0.7984 ft

    Average velocity = (64 - 0.7984) / (1 -0.01) = 63.84 ft/s

(2) t = 0.001 s

    y = 80 x 0.001 - 16 x 0.001 x 0.001 = 0.079984 ft

    Average velocity = (64 - 0.079984) / (1 -0.001) = 63.984 ft/s

The question is incomplete. Find out the complete question below:

If a ball is thrown straight up into the air with an initial velocity of 80 ft/s, it height in feet after t second is given by  [tex]y=80t-16t^2[/tex] .Find the average velocity for the time period beginning when t=1 and lasting

(i) 0.01 seconds

(ii) 0.001 seconds

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The structural damage which could be expected if a Category 3 hurricane which is predicted to hit an area is high percentage of framed homes could be destroyed, with total roof failure and wall collapse and is denoted as option C.

This refers to the rapidly rotating storm which has a low-pressure center and is characterized by strong winds ad thunderstorms and of different types such as category 1 to 3.

Category 3 hurricane leads to loss of lives and properties which is depicted as  framed homes being destroyed with total roof failure and wall collapse which is why option C was chosen.

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Instantaneous power output of a single phase 60 hz generator will be constant under reactive power.

Responsive power is otherwise called: ghost power. One more method for making sense of this is that responsive power is the resultant power in watts of an air conditioner circuit when the ongoing waveform is out of stage with the waveform of the voltage, normally by 90 degrees assuming the heap is simply receptive and is the consequence of either capacitive or inductive burdens. A model is fueling a brilliant light, in a responsive burden energy stream toward the heap a fraction of the time, though in the other half power streams from it, which gives the deception that the heap isn't dispersing or consuming power. Receptive power is one of the three kinds of force present in stacked circuits.

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A goat that is being pushed by Abigail through a gate. It takes her 4 seconds and 800 J of work.

The amount of electricity Abigail produces Identity foreclosure on identity

Identity foreclosure, or having an identity but only having ideas and characteristics they have just absorbed from their parents, friends, or group, is a characteristic of adolescence. In addition to having a distinct identity and being prone to discovering it,

Identity foreclosure young individuals in this age group also have a propensity to be influenced by a variety of factors, most notably their families and environments.

In other words, young individuals at this age are still not open to explore new possibilities and concepts; instead, they are following established norms.

Combining the urgent need to delve into one's own identity with

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Answer: It is the study of the environment and objects around us and how they interact with each other. It is a systematic study that involves collecting information, observing,and  experimentation.

Explanation:

Answer:

C. Targets

Explanation:

Because the Ad for the theme park effectively caught Raquel's attention, a businessperson would say that the ad accurately targeted Raquel. Marketers use specific colors, themes, designs, songs, etc to target a specific audience.

The force between the charges will be 10.9 N.

The electrostatic attraction particles that make up the electrostatic force behave as both an attracting and a repulsive force. The force is inversely proportional to the square of the distance between them.

F ∝ 1 / r²

F = k / r²

Fr² = k

When two tiny charged objects are 0.11 of a distance apart, they repel one another with a force of 2.53. If the distance between the two particles is cut to 0.053 and the charge on each item is decreased to 67.9% of its initial amount. Then the force will be

F₁r₁² = F₂r₂²

2.53 × (0.11)² = F × (0.053)²

F = 10.9 N

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The driver observes as the police car approaches [tex]f^{\prime}=3036 \mathrm{~Hz}[/tex]

An observer traveling at speed is a driver [tex]v_O=25.0 \frac{\mathrm{m}}{\mathrm{s}}[/tex] and the source is the swiftly moving police vehicle [tex]v_S=40.0 \frac{\mathrm{m}}{\mathrm{s}}[/tex].The frequency of the sound that the source emits is [tex]f=2500Hz[/tex] The speed of the sound is [tex]v=343 \frac{\mathrm{m}}{\mathrm{s}}[/tex].

(a) The source and the observer approach one another. Then, we apply [tex]13.30[/tex]

substituting numerical numbers for the positive values of [tex]V_O[/tex] and [tex]V_S[/tex]

[tex]\begin{gathered}f^{\prime}=f=2500 \mathrm{~Hz} \times \frac{343 \frac{\mathrm{m}}{\mathrm{s}}+25.0 \frac{\mathrm{m}}{\mathrm{s}}}{343 \frac{\mathrm{m}}{\mathrm{s}}-40.0 \frac{\mathrm{m}}{\mathrm{s}}} \\f^{\prime}=3036 \mathrm{~Hz}\end{gathered}[/tex]

Hence, the driver observes as the police car approaches [tex]3036 Hz[/tex] is the frequency.

When a wave source is moving relative to an observer, the Doppler effect or Doppler shift is a phenomenon that can be seen. A typical physical illustration of the Doppler Effect is when an ambulance crosses you while its siren is on. Let's take a closer look at the Doppler effect's nuances.

The Doppler effect is a significant phenomenon in planetary science and other scientific fields. The frequency of any sound or light wave produced by a moving source with regard to an observer is said to fluctuate as a result of the Doppler effect or Doppler shift.

A source's waves are compressed as they move in the direction of the observer. In contrast, waves from a source that is moving away from the observer become longer.

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As in a series circuit, if you have two parallel wires with current flowing in opposite directions, the magnetic fields of the two wires will be moving in the same direction at the point of intersection and will repel one another.

In a parallel circuit, the branches divide the current so that only a portion of it passes through each branch. In a parallel circuit, each branch has the same voltage or potential difference, but the currents may differ. For instance, in a residential electrical circuit, the same voltage is provided across each lamp and appliance, but depending on their power requirements, each load draws a varied amount of current. A group of comparable batteries connected in parallel can produce more current than a single battery while maintaining the same voltage.

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The Hailey's comet aphelion distance from the sun is 36 A. U.

The Hailey's comet perihelion distance = 0.6 amu

The Hailey's comet orbital period = 76 years

According to Kepler's law,

The time duration is T.

T = 76 years.

The semi-major axis is a.

The semi-major axis of Hailey's comet is,

[tex]T ^{2} =a ^{3} [/tex]

[tex]a = \sqrt[3]{(T) ^{2} }[/tex]

[tex]a = \sqrt[3]{(76) ^{2} }[/tex]

= 18 A. U

The semi-major axis of Hailey's comet is 18 A. U.

The Hailey's comet aphelion distance from the sun is,

= 2 × a

= 2 × 18

= 36 A. U

Therefore, Hailey's comet aphelion distance from the sun is 36 Astronomical Units.

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The current in the coil that will enable the sphere to rest in equilibrium on the inclined plane is 0.7A.

According to classical physics, a particle is in mechanical equilibrium if there is no net force acting on it. By extension, if there is no net force acting on any of a physical system's component pieces, it is said to be in mechanical equilibrium.

In addition to the definition of mechanical equilibrium in terms of force, there are numerous other formulations that are all mathematically equal. When all of the components' velocities are constant, a system is said to be in equilibrium in terms of momentum. The system is in equilibrium in terms of velocity if velocity is constant. The object's angular momentum is conserved and there is no net torque in a rotational mechanical equilibrium.

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The force experienced by the charges when they are placed 2 m apart will be 0.25 N.

The force between two charges is given by Coulomb’s Law.

According to this law, the force between two charges varies inversely as the square of the distance between the charges and is directly proportional to the product of the magnitude of the two charges.

The above statement is represented by the following equation,

F= K Q1 x Q2/r^2

Here, F = Force between the two charges

K = Constant

Q1 and Q2 =  Magnitude of the two charges

r = Separation between the two charges

According to this equation, the force is inversely proportional to the square of the distance between two charges.

Initially, when the two charges are 1 m apart, the force is 1 N.

When the distance between the two charges is doubled,

then according to Coulomb’s Law, the force should decrease by 4 times.

Hence, if the charges are placed 2 meters apart,  the force becomes 1/4= 0.25 N.

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