you observe a ball that moves (34.5 ± 0.1) cm in (19.84 ± 0.01) s. what is the observed speed of the ball (best estimate and most probable uncertainty)? (speed = distance / time)

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Answer 1

The required speed of the ball when distance and time are given is calculated to be (1.74 ± 0.01) cm/s.

The formula for speed is speed = distance/time. Using the given values, we can calculate the observed speed of the ball as follows:

Distance is given as (34.5 ± 0.1) cm.

Time is given as (19.84 ± 0.01) s.

Speed = distance / time = (34.5 ± 0.1)/(19.84 ± 0.01)

Using the most probable uncertainty (±0.5 times the smallest uncertainty), we can estimate the uncertainty in the speed calculation as follows:

Uncertainty in distance = 0.1 cm

Uncertainty in time = 0.01 s

Uncertainty in speed = (uncertainty in distance) / (time) ± 0.5 * (smallest uncertainty)

= (0.1) / (19.84) ± 0.5 * (0.01)

= 0.0050 ± 0.005 cm/s

Therefore, the observed speed of the ball is (1.74 ± 0.01) cm/s.

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Related Questions

what direction would you head from new york state to find wamer temputres

Answers

You should move towards south - western direction.

What is temperature?

Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.

Given is to find the locations around New York where warmer temperatures are to be found.

During every season Florida, Louisiana and Texas are consistently among the top four of the nation's hottest states, based on state-wide average temperatures. So, you should move towards south - western direction.

Therefore, you should move towards south - western direction.

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What does the mechanical stage lower knob causes the stage to move?

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The lower mechanical stage knob moves the stage back and forth.

A microscope's mechanical stage is the mechanism that has been mounted there to hold and move the microscope slide.

It is an essential component of the microscope that improves the way the stage works. The specimen can be moved precisely through the field of view—the region of the specimen that can be seen through the microscope—by using this technique.

To get a better and clearer view of the specimen, it is crucial to use the mechanical stage. It significantly eases using the microscope.

In addition to preventing unintentional bumps that could cause the slide to lose focus, it enables better control of the slide.

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How high is luigi’s center of gravity at the end of his flight, when he first hits the other side?

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Luigi's center of gravity refers to the point in his body where the weight of his body is evenly balanced. This point changes when Luigi is in flight, and determining its height at any given moment can give us insight into his movements and stability. In this case, we will calculate the height of Luigi's center of gravity at the end of his flight, when he first hits the other side.

To calculate the height of Luigi's center of gravity, we need to take into account his weight distribution, body position, and velocity. When Luigi jumps, his body rotates in the air, causing his center of gravity to move upward. This upward motion continues until Luigi reaches the peak of his jump, at which point the center of gravity begins to move downward.

When Luigi lands on the other side, he decelerates rapidly, which causes his center of gravity to shift forward. This shift in weight distribution can cause Luigi to lose his balance and fall. However, skilled video game characters like Luigi have the ability to quickly adjust their body position to regain balance.

In conclusion, the height of Luigi's center of gravity at the end of his flight, when he first hits the other side, is influenced by his weight distribution, body position, and velocity. It is a complex calculation that takes into account many factors and can vary greatly depending on the specifics of the situation. Nevertheless, understanding the principles of center of gravity and how it affects movements can help us better understand and predict the movements of characters like Luigi.

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Calculate the kinetic energy of an object of ma 10kg when it i moving with a velocity 2m-1

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The kinetic energy of an object mass of 10 kg and velocity of 2 m/s would be 20 Joule

Kinetic energy is the energy that can be seen as the motion of an item or a subatomic particle. It is also known as the energy of motion. The amount of kinetic energy that an object possesses is directly proportional to both the mass of the object and the square of the velocity at which it is moving, therefore the formula is:

                                                  K.E. = 1/2 m v2

Where:

K/E = kinetic energy

M = mass of the object

V = velocity

Thus, the kinetic energy would be:

K.E = ½ x 10 kg x 2^2 m/s

K.E = 20 Joule

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the fluid's specific gravity and volume are 2.57 and 74.8 ft3, respectively. determine the fluid specific weight in unit of lbf/ft3. round to the nearest one decimal place.

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The fluid's specific gravity and volume are 2.57 and 74.8 ft3, respectively.  The fluid specific weight in unit of lbf/ft3. round to the nearest one decimal place is 159.6 lbf/ft3

The fluid's specific weight can be calculated as follows:

specific weight = specific gravity . density of water

Where,

specific gravity = 2.57

density of water = 62.4 lbf/ft3,

So, specific weight = 2.57 . 62.4 = 159.648 lbf/ft3

Rounding to the nearest one decimal place, the specific weight of the fluid is 159.6 lbf/ft3.

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what is the gravitational force on a 70.0 kg that is 6.38x106 m above the earth’s surface?

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As per the details given, the gravitational force on a 70.0 kg object that is 6.38 x [tex]10^6[/tex] m above the Earth's surface is approximately 171.36 Newtons.

The gravitational force can be calculated as:

F = mg

Here, it is given that:

m = 70.0 kg

h = 6.38 x [tex]10^6[/tex] m

To compute the gravitational force at that height, we must account for the reduction in gravitational acceleration as height increases.

Gravitational acceleration is inversely proportional to the square of the distance from the Earth's centre.

g' = g * (R / (R + h))²

g' = 9.8 * ((6.37x [tex]10^6[/tex] ) / ((6.37x [tex]10^6[/tex] ) + 6.38x [tex]10^6[/tex] ))²,

g' = 9.8 * (6.37x [tex]10^6[/tex] / 12.75x [tex]10^6[/tex] )²,

g' ≈ 9.8 * [tex](0.4996)^2[/tex],

g' ≈ 9.8 * 0.2496,

g' ≈ 2.448 m/s².

Now we can calculate the gravitational force:

F = mg,

F = 70.0 kg * 2.448 m/s²,

F ≈ 171.36 N.

Thus, the gravitational force is 171.36 Newtons.

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what do you think energy has to do with the heating systems?

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Explanation:

Energy is the key component in heating systems. Heating systems use energy, typically in the form of electricity or fuel, to generate heat. The heat is then transferred to the surrounding environment, typically through the use of a heat exchanger, in order to raise the temperature and provide warmth. The efficiency of a heating system depends on the amount of energy input compared to the amount of heat generated and distributed. To reduce energy consumption and costs, it's important to use energy-efficient heating systems and to properly maintain and operate them.

how many percent closer object in water looks?

Answers

Object appears 33% closer in water, this is due to the refractive index of water.

When a ray of light passes through an optically denser medium from an optically rarer medium, it gets bent towards the normal. This is called the refraction of light. This is due to the different speeds of light in different mediums of different optical densities.

Refractive index of a substance is the ratio of the speed of light in a vacuum to the speed of light in the substance. Mathematically

Refractive index = speed of light in vacuum/speed of light in substance

Refractive index of water is 1.33. It means the distance travelled by the light in a vacuum is 1.33 times more than that of in water.

So object appears (1.33d × 100)/d = 33% closer

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What information is needed to calculate the gravitational force of an object?

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By applying the known acceleration caused by gravity and this rule, we may determine the effects of gravity of any item on the surface of the planet.

What determines an object's gravitational pull?

The size of this force is determined by the weight of each item and the separation of their centers. According to mathematics, the gravity force is proportional to the square of the distance between both the objects and directly related to the masses of the items.

How can you figure out an object's gravitational acceleration?

An object is drawn toward the earth's core by the force of gravity. The acceleration brought on by gravity is 9.8 m/s2 on earth. The formula used to determine.

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Suppose you are changing a car tire and loosening a lug nut. You weigh 800N and stand on the end of a 2 m long wrench. How much torque do you exert on the lug nut?
a. 1600 J
b. 1600 N-m
c. 800 N-m
d. 2 N-m

Answers

The torque exerted by the person on log nut is 1600 N-m, if person's weight is 800 N, and the length of the wrench is 2 meter.

Torque in rotational motion is equivalent to the what force is in linear motion. As force cause a push or pull in linear motion, similarly torque causes a twist in clockwise or anticlockwise direction. It causes the change in the rotational motion of a body. Its SI unit is N-m. & It is formulates as follows:

Torque = Force × lever arm × sinθ

τ = Frsinθ

Where θ is the angle between the force and the lever arm.

Torque = 800 × 2 = 1600 N-m

Hence option B is correct.

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This problem is designed to illustrate the superposition principle and the concepts of modulated and modulating functions in a wave packet. Consider two wave functions ψ1(y, t) = 5y cos 7t and ψ2(y, t) = −5y cos 9t, where y and t are in meters and seconds, respectively. Show that their superposition generates a wave packet. Plot it and identify the modulated and modulating functions.

Answers

The modulated function is A(y) = 5y and the modulating function is ω = -2.

The superposition of the two given wave functions is given by:

ψ(y, t) = ψ1(y, t) + ψ2(y, t)

 = (5y cos 7t) +(- 5y cos 9t)

The wave packet generated by the superposition of the two wave functions is given by:

ψ(y, t) = A(y)cosωt

 = 5y(cos7t - cos9t)

Where A(y) = 5y is the modulated function and ω = (7 - 9) = -2 is the modulating function.

The wave packet is as shown:Wave packet plot

The  wave packet generated by the superposition of the two given wave functions.

Therefore,The modulated function is A(y) = 5y and the modulating function is ω = -2.

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What must happen for electricity to be useful in your home?

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Answer:

current must flow and chemical energy must take place

repeated reference is made in ewr and the nec® to limit the length of ""fixture whips"" to 6 feet. what is the significance of this 6-foot limitation?

Answers

A “fixture whips” longer than 6 feet are required to be supported and grounded per the NEC ®for that wiring method.

What is Length ?

Length is a term used to describe the distance between two points on an object or the dimension of an object along a particular axis.  Length is usually measured in units of distance, such as meters, centimeters, inches, or feet .

In physics, length is an important concept used to describe the size of objects, the distance between two points, or the dimensions of a space. In engineering and construction, length is used to design and build structures, such as bridges and buildings, to ensure they are safe and fit for their intended purpose.

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Vector a has a magnitude of 25 units and makes +20 degree with the +x-axis. Vector b has a magnitude of 20 units, and makes +60 degree with the +x-axis. What is the angle between the directions of the two vectors?

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Angle between the directions of the two vectors is 27.04 degrees.

What is vector?

In physics, vector is a quantity that has both magnitude and direction.

Angle between the directions of two vectors is given by the arccosine of the dot product of two vectors divided by the product of their magnitudes.

x and y components of vector a are as :

a_x = 25 * cos(20) = 24.49

a_y = 25 * sin(20) = 9.75

x and y components of vector b are as:

b_x = 20 * cos(60) = 10

b_y = 20 * sin(60) = 17.32

The dot product of a and b is:

a · b = a_x * b_x + a_y * b_y = 24.49 * 10 + 9.75 * 17.32 = 242.79

Magnitude product of a and b is: |a| * |b| = 25 * 20 = 500

θ = arccos(a · b / |a| * |b|) = arccos(242.79 / 500) = 27.04 degrees.

So, the angle between the directions of the two vectors is 27.04 degrees.

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ways to report potential fraud, waste, and abuse (fwa) include:

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There are many ways to report fraud like hotlines, online reporting, email or postal mail, and in person reporting.

There are several ways to report potential fraud, waste, and abuse (FWA) depending on the situation and the reporting individual's preference.

Hotlines - Many organizations have established hotlines that allow individuals to confidentially report potential FWA. These hotlines are often staffed by trained professionals who can assist with the reporting process and provide guidance on next steps.Online reporting - Some organizations have established online reporting portals that allow individuals to submit a report of potential FWA via the internet. These portals often allow individuals to submit a report anonymously and securely.Email or Postal Mail - Some organizations may accept reports of potential FWA through email or postal mail.In-Person reporting - Individuals may choose to report potential FWA in person, either to their immediate supervisor, a designated manager, or to a designated FWA reporting office.

It is important for individuals to feel confident that their report will be taken seriously and treated confidentially.

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earth carries a net charge of about -5.0× 105 c . how many more electrons are there than protons on earth?

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The net charge of the Earth is [tex]-5.0 x 10^5[/tex] coulombs, which means that the Earth has a net negative charge. This net negative charge is due to the presence of more electrons than protons on the Earth.

A coulomb is the unit of electric charge and is used to measure the amount of electric charge in an object. The charge of an electron is [tex]-1.6 x 10^-19[/tex]coulombs, and the charge of a proton is[tex]+1.6 x 10^-19[/tex]coulombs. These charges are equal in magnitude but opposite in sign, meaning that the charge of an electron is the exact opposite of the charge of a proton.

Since the Earth has a net negative charge, this means that there are more electrons than protons on the Earth. To calculate the exact number of extra electrons, we would need to know the magnitudes of the individual charges of electrons and protons. However, as a rough estimate, we can assume that the charges of electrons and protons are equal in magnitude and opposite in sign, so the number of extra electrons would be approximately equal to the net charge of Earth divided by the charge of a single electron.

Therefore, the estimated number of extra electrons is:

[tex](-5.0 x 10^5) / (-1.6 x 10^-19) = 3.125 x 10^24[/tex]

So, there are approximately [tex]3.125 x 10^24[/tex] more electrons than protons on Earth.

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how does the instantaneous velocity of an object in free fall can be calculated from displacement and time data

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The instantaneous velocity of an object in free fall can be calculated from displacement and time data by using the equation v = Δx / Δt and by considering the acceleration of the object to be constant.

The velocity can be found by approaching the limit of the average velocity as the time interval becomes infinitesimally small, allowing for the precise calculation of the velocity of an object in free fall.

In the case of an object in free fall, the acceleration is constant and equal to the acceleration due to gravity, which is approximately 9.8 m/s² on the surface of the earth. This means that the velocity of the object changes at a constant rate as it falls, and the instantaneous velocity can be calculated using the displacement and time data.

For example, if an object falls from a height of 100 meters and takes 2 seconds to reach the ground, the average velocity can be calculated as follows:

v = Δx / Δt = 100 m / 2 s = 50 m/s

As the time interval becomes smaller and smaller, the average velocity approaches the instantaneous velocity. By using high-speed cameras or other advanced measuring devices, the displacement and time data can be analyzed over very small intervals of time, allowing for the precise calculation of the instantaneous velocity of an object in free fall.

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An object has a kinetic energy of 12750 J and a mass of 268 kg, how fast is the object
moving?

Answers

Put the values into kinetic energy multiplication now. The V-shape has a value of 25 when divided by 500 jewels. 25, or 5 squared. Now, 1000 divided by 25 results in a weight of 40 kg. Therefore, the item will have a 40 kg mass.

A 478 kilogram object moving at a 15 m/s speed has how much kinetic energy?

53775 joule We calculate the kinetic energy to be 53775 joules. This is the necessary response.

What is kinetic energy's mathematical equation?

Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilograms-meters squared per second squared if the mass is measured in kilograms and the velocity is measured in meters per second.

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in exercise 5 in the previous section what is the andromeda

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The Andromeda Galaxy's acceleration rate toward the Milky Way contains approximately 4.0 X 10^11 stars with an average mass of 2.0 X 10^30 kg each is 3 x 10^-12m/s^2

Given the mass of andromeda (m) = 2 x 10^30kg

The number of stars (n) = 4.0 X 10^11

If the Milky Way is drawn to the Andromeda Galaxy, which has nearly the same number of stars.

So, the total mass of andromeda (M) = n x m = 4.0 X 10^11 x 2 x 10^30kg

M = 8 x 10^41kg

The gravitational force (F) =  2.4 x 10^30 N

Let the acceleration acting on it is = a

We know that from Newtons laws of motion, F = Ma such that:

2.4 x 10^30 N = 8 x 10^41 x a

a = 2.4 x 10^30 / 8 x 10^41

a =  3 x 10^-12m/s^2

Hence, the Andromeda Galaxy's acceleration rate toward the Milky Way is 3 x 10^-12m/s^2

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complete question: Our galaxy, the Milky Way , contains approximately 4.0 X 10^11 stars with an average mass of 2.0 X 10^30 kg each. How far away is the Milky Way from our nearest neighbor, the Andromeda Galaxy, if Andromeda contains roughly the same number of stars and attracts the Milky Way with a gravitational force of 2.4 x 10^30 N? In Exercise 5 in the previous section, what is the Andromeda Galaxy's acceleration rate toward the Milky Way?

A laser pulse with wavelength 533 nm contains 4. 26 mj of energy. How many photons are in the laser pulse?.

Answers

There are approximately 1.10 x 10^16 photons in the laser pulse with a wavelength of 533 nm and an energy of 4.26 mJ.

The energy of a photon can be calculated using the formula:

E = hc / λ

where h is Planck's constant (6.62607015 x 10^-34 Js), c is the speed of light (2.99792458 x 10^8 m/s), and λ is the wavelength of the photon.

For a 533 nm wavelength photon, the energy can be calculated as:

E = (6.62607015 x 10^-34 Js) x (2.99792458 x 10^8 m/s) / (533 x 10^-9 m)

E = 3.872 x 10^-19 J

The number of photons in the laser pulse can be calculated by dividing the total energy by the energy per photon:

N = 4.26 x 10^-3 J / (3.872 x 10^-19 J)

N = 1.10 x 10^16 photons is the required answer.

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as part of an exercise program, a woman walks south at a speed of 1.2 m/s for 50 minutes. she then turns around and walks north a distance 2,450 m in 51 minutes . what is the woman's average speed in m/s during her entire motion?

Answers

The average speed of the woman during her entire motion is 4,900 m / (6060 s) = 0.805 m/s.

Absolute distance is (2,450 m + 2,450 m) = 4,900 m.

The absolute time she went for to stroll this distance is 50 minutes + 51 minutes = 101 minutes.

To switch minutes over completely to seconds, duplicate by 60: 101 minutes * 60 seconds/minute = 6060 seconds.

In this way, the typical speed of the lady during her whole movement is 4,900 m/(6060 s) = 0.805 m/s.

A lady took a stroll as a component of her work-out daily practice. She strolled south at a speed of 1.2 meters each second for 50 minutes. From that point onward, she pivoted and strolled north for a distance of 2450 meters quickly. The absolute distance she covered while strolling was 2450 meters + 2450 meters = 4900 meters. The absolute time she went for the entire stroll was 50 minutes + 51 minutes = 101 minutes, which is identical to 6060 seconds. Thus, her typical speed during the entire walk was 4900 meters/6060 seconds = 0.805 meters each second.

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a sine wave has a frequency of 50 khz. how many cycles does it complete in 10ms

Answers

The sine wave completes 500 cycles in 10 ms.

To calculate the number of cycles completed by a sine wave, we need to know its frequency and the time interval.

Given:

Frequency = 50 kHz

Time interval = 10 ms

First, we need to convert the frequency to cycles per second (Hz) since the time interval is given in seconds. We know that 1 kHz = 1000 Hz.

Frequency = 50 kHz

Frequency = 50,000 Hz

Next, we can calculate the number of cycles using the formula:

Number of cycles = Frequency x Time interval

Number of cycles = 50,000 Hz x 10 ms

Number of cycles = 500 cycles

Therefore, the sine wave completes 500 cycles in 10 ms.

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Hello, could someone please help me. thank you view the pics below.

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The particles that are in the interior of the atom are the nucleons while the particles at those on the shells are the electrons.

What are the Subatomic particles in the atom?

Atoms are composed of three types of subatomic particles: protons, neutrons, and electrons.

Protons: Positively charged particles that are found in the nucleus of an atom. The number of protons in an atom's nucleus is called its atomic number, which determines the identity of the element.

Neutrons: Neutral particles that are also found in the nucleus. The number of neutrons in an atom can vary, and they help to determine the mass of an atom.

Electrons: Negatively charged particles that occupy the electron cloud or shells surrounding the nucleus. Electrons are much lighter than protons and neutrons and are involved in chemical reactions. The arrangement of electrons in an atom determines its chemical properties and reactivity.

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What is a valid Lewis dot structure?

Answers

Answer: A valid Lewis dot structure shows all the non-zero formal charges, satisfies the octet rule for each atom, and contains the correct number of atoms and valence electrons

Explanation:

Answer:

shows all non-zero formal charges, satisfies the octet rule for each atom, and contains the correct number of atoms and valence electrons.

Explanation:

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