Identify the level of measurement of the data, and explain what is wrong with the given calculation. in a set of data, are represented as for for and for the average (mean) of the is:________

Answer:

0.8 meters

Explanation:

When an object is moving at a constant velocity in a circular motion, the only acceleration acting on it is the centripetal acceleration which is directd toward the center of the circle

The formula for centripetal acceleration is

\(a_c = \dfrac{v^2}{r} \dots[1]\)

where
\(\text {$a_c$ is the centripetal acceleration}\\\\\text {$v$ is the velocity}\\\\\text{$r$ is the radius of the circular path}\\\\\)

Given
\(a_c = 12\;m/s^2\\v = 3.1\;m/s\)

we can plug in these values into the formula to determine r

\(12 = \dfrac{3.1^2}{r}\)

\(r = \dfrac{3.1^2}{12} = \dfrac{9.61}{12} = 0.80 \;m\)

Answer:

Explanation:

The amount of force needed needs to be greater than all the forces acting in the opposite direction that the bowling ball was thrown. This includes air resistance, floor friction, gravity, and any other force involved. As long as the force acting on the bowling ball that is causing it to go in the direction of the pins is slightly greater than the opposite acting forces then it will continue in that direction. Since no values are provided we cannot calculate the actual precise value of force needed.

There is a constant, equal electric field throughout. As a result, potential energy is equal.

To determine whether or not EPE is rising, follow this general guideline: A charge's electric potential energy is decreasing if it is travelling in the direction that it would typically go. A charge's electric potential energy increases if it is pushed in the opposite direction from how it would ordinarily travel.

When a charge q is transported from point A to point B, the potential difference between the two places is defined as the change in potential energy of the charge divided by the charge, or V = VB - VA. Voltage, also known as potential difference, is denoted by the letter V.

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The combined momentum of two pool balls with the same mass and speed is zero when they collide.

We now offer a few more ideas that will help us describe motion. Prior to Newton, the French scientist and philosopher Descartes introduced the first of them, called momentum.

Simply put, momentum is the amount of motion. Since an object has momentum if it is moving and has mass, quantity is measurable in this situation. An object lacks momentum if it is not moving. But despite its significance in daily life, many people were unaware of it.

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C. When describing motion, a frame of reference is a system of reference points used to determine position and velocities of objects.

A frame of reference is an arbitrary set of axes with reference to which the position or motion of something is described or physical laws are formulated.

Frame of reference serves a valuable purpose, because it enables us to make more accurate measurement of our position, displacement, velocity and the total distance traveled.

Also, a frame of reference consists of an abstract coordinate system and the set of physical reference points that uniquely fix the coordinate system and take measurements within that frame.

In other words, it is a system or base, on which motion of an object is determined.

Thus, when describing motion, a frame of reference is a system of reference points used to determine position and velocities of objects.

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The per unit inductance of the 400 induction motor can be calculated using the given information, such as the rated speed, nameplate values, and the no-load current.

To find the per unit inductance of the motor, we can use the following expression:

Xpu =\(\frac{(Vpu - (Rpu * Cos thetapu))}{lpu * sin theta pu}\)

Where:

Xpu is the per unit reactance

Vpu is the per unit voltage

Rpu is the per unit resistance

θpu is the per unit power factor angle

Ipu is the per unit current

Given that the motor operates at 50 Hz, we can calculate the rated synchronous speed (Ns) using the formula:

Ns = \(\frac{120 f}{P}\)

Where:

Ns is the synchronous speed in RPM

f is the frequency in Hz (50 Hz in this case)

P is the number of poles (4 poles in this case)

Substituting the given values, we get:

Ns = \(\frac{(120 *50)}{4}\) = 1500 RPM

Since the rated speed of the motor is 1485 RPM, we can calculate the slip (s) using the formula:

s = \(\frac{(Ns-Nr)}{Ns}\)

Where:

Nr is the rated speed (1485 RPM in this case)

Substituting the values, we get:

s = \(\frac{(1500-1485)}{1500}\) = 0.01

Now we can calculate the per unit reactance (Xpu):

Xpu = \(\frac{(Vpu - (Rpu * Cos thetapu))}{lpu * sin theta pu}\)

Given:

Rated power (PN) = 200 kW

Rated voltage (Vn) = Vpu × Vrated

Rated current (In) = Ipu × Irated

Rated power factor (cosN) = cosθpu

Rated speed (Nr) = 1485 RPM

Using the given values, we can calculate the rated voltage and current:

Vrated = √3 * Vn

Irated = √3 * In

Substituting the values, we get:

Vrated = √3 * Vpu * Vn

Irated = √3 * Ipu * In

Now we can calculate Xpu:

Xpu = \(\frac{(Vpu - (Rpu * Cos thetapu))}{lpu * sin theta pu}\)

Given that the rated speed (Nr) is the synchronous speed multiplied by (1 - s), we can calculate the synchronous speed (Ns) using the formula above and then calculate the slip (s).

After obtaining s, we can substitute the given values and calculate Xpu.

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The Correct option is C. An iron nail is more strongly attracted to the north or south pole-no difference really.

Magnetism is the magnificence of bodily attributes which might be mediated by a magnetic field, which refers back to the potential to induce attractive and repulsive phenomena in other entities. electric currents and the magnetic moments of elementary debris give rise to a magnetic field, which acts on other currents and magnetic moments. Magnetism is one thing of the blended phenomena of electromagnetism.

The maximum acquainted consequences occur in ferromagnetic substances, which are strongly attracted by means of magnetic fields and may be magnetized to end up permanent magnets, producing magnetic fields themselves. Demagnetizing a magnet is likewise possible. just a few materials are ferromagnetic; the maximum common ones are iron, cobalt, and nickel and their alloys. The uncommon-earth metals neodymium and samarium are less commonplace examples.

All substances show off some kind of magnetism. Magnetic materials are labeled consistent with their bulk susceptibility. Ferromagnetism is answerable for most of the consequences of magnetism encountered in everyday life, but there are certainly numerous varieties of magnetism.

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Complete Question:

An iron nail is more strongly attracted to the

a. north pole of a magnet.

b. south pole of a magnet.

c. north or south pole-no difference really.

The correlation coefficient of -0.98 is an indication of a strong negative linear relationship between two variables.

This means that when one variable increases, the other variable decreases, and vice versa. The fact that the coefficient is so close to -1 further indicates that the relationship between the two is very steep and that the slope of the line of best fit is very steep and has a large negative slope. That is, when one variable increases, the other variable decreases rapidly, signifying a strong inverse linear relationship.

This implies that when one variable is at its maximum, the other variable is at its minimum and vice versa. In conclusion, the correlation coefficient of -0.98 reflects a steep negative slope of the line of best fit.

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To build an electromagnet you need to wrap some insulated copper wire around an iron core. The more wire you wrap around the nail, the stronger your electromagnet will be.

If you attach a battery to the wire, an electric current will begin to flow and the iron core will become magnetized. Make certain that you wrap the wire all in one direction.

You need to do this because the direction of a magnet field depends on the direction of the electric current creating it. The movement of electric charges creates a magnetic field. When the battery is disconnected, the iron core will lose its magnetism.

The wire needs to be of conductive material so that the electric current can pass through and magnetic field can be produced.

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Answer:

F = 39.2 N

Explanation:

Since, the object is in uniform motion. Therefore, the frictional force on object will be:

Frictional Force = μk N = μk mg

where,

μk = coefficient of kinetic friction = 0.2

m = mass of crate = 10 kg

g = 9.8 m/s²

Therefore,

Frictional Force = (0.2)(10 kg)(9.8 m/s²)

Frictional Force = 19.6 N

The horizontal component of force must be equal to this frictional force to continue the uniform motion:

F Sin 30° = 19.6 N

F = 19.6 N/Sin 30°

F = 39.2 N

Answer:

The elevator moves up with an acceleration of  3.5 m/s²

Explanation:

Given:

m = 15 kg   (not 150!! :))

Tmax = 200 N

g = 9.8 m/s²

____________

a - ?

The elevator moves up with an acceleration a:

Tmax =  m·(g + a)

g + a = Tmax / m

a = Tmax / m  -  g

a = 200 / 15 - 9.8 ≈   3.5 m/s²

The differential equation which describes the temperature of the object over time is;

dH/dt = -k (H-S), where k = 0.97. The solution to this differential equation is given by H(t) = S + 65e^(-0.97t).

Newton’s law of heating and cooling is an application of the first law of thermodynamics. The law suggests that the rate of change of temperature of an object is proportional to the difference between its temperature and the temperature of the surroundings.

A warm object is placed in a refrigerator where the surrounding temperature is cooler, and the temperature of the object decreases. This phenomenon can be explained using differential equations. Given that H(t) is the temperature of the object being cooled and S is the surrounding temperature, the differential equation which describes the temperature of the object over time is given by;dH/dt = -k (H-S)

where k is the constant of proportionality.To solve this differential equation, we can use separation of variables, such that;

dH/dt = -k (H-S)dH/(H-S) = -k dt

Integrating both sides, we get;ln|H-S| = -kt + Cwhere C is the constant of integration.Rearranging, we have;

|H-S| = e^(-kt+C)

At time, t = 0, H = 100 and after 30 minutes the object is 75 degrees; t = 0.5 hours, H = 75. We can use these values to solve for C and k as follows;

|100-35| = e^(C) => 65 = e^(C)     …(1)

and|75-35| = e^(-0.5k+C) => 40 = e^(C) e^(-0.5k) => e^(-0.5k) = 40/65 => e^(-0.5k) = 8/13 => -0.5k = ln(8/13) => k = -2ln(8/13) => k = 0.97    …(2)

Substituting equation (1) into (2), we get;H-S = 65e^(-0.97t)  =>  H(t) = S + 65e^(-0.97t)

Therefore, the differential equation which describes the temperature of the object over time is;dH/dt = -k (H-S), where k = 0.97.

The solution to this differential equation is given by H(t) = S + 65e^(-0.97t).

The differential equation which describes the temperature of the object over time is;

dH/dt = -k (H-S), where k = 0.97. The solution to this differential equation is given by H(t) = S + 65e^(-0.97t).

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Answer:

4,524,660 N

Explanation:

Assuming the submarine's density is uniform, 1/9th of the submarine's mass is equal to the mass of the displaced water.

m/9 = (1026 kg/m³) (50 m³)

m = 461,700 kg

mg = 4,524,660 N

Answer:

t = 1.659s

Explanation:

We can use the kinematics equations to solve this questions:

v = u + at

\(v^{2} = u^{2} +2as\)

where v = Final Velocity, u = initial velocity, a = acceleration, t = time, s = displacement

a) Given information from the question,

u = \(\frac{70km}{h} =\frac{(70*1000)m}{(1*3600)s} = 19.444m/s\) (Convert km/h to m/s first)

a = \(2m/s^{2}\)

s = 35m

Now we can substitute these values into the 2nd kinematics equation to find v, final velocity.

\(v^{2} =(19.444)^{2} +2(2)(35)\\v=\sqrt{(19.444)^{2} +2(2)(35)} \\v= 22.761m/s (5.sf)\\\)

b) Now we have the final velocity, we can substitute the values into the first kinematics equation to find t , the time taken.

v = u + at

22.761 = 19.444 + 2t

2t = 22.761 - 19.444

t =\(\frac{22.761-19.444}{2}\)

t = 1.659s

the mix of the answer is tin

Answer:

It takes approximately 0.902 seconds time interval for the ball to strike the ground.

To determine the time interval it takes for the ball to strike the ground, we can use the equations of motion. Since the ball is thrown directly downward, we can assume that the initial velocity (u) is negative (-8.85 m/s), and the acceleration due to gravity (g) is positive (9.8 m/s²).

The equation to calculate the time of flight (t) is

t = (v - u) / g

Where:

v = final velocity (when the ball strikes the ground)

u = initial velocity

g = acceleration due to gravity

In this case, the final velocity when the ball strikes the ground is 0 m/s (as it comes to rest). So, substituting the given values into the equation, we have

t = (0 - (-8.85)) / 9.8

t = 8.85 / 9.8

t = 0.902 seconds

Therefore, it takes approximately 0.902 seconds for the ball to strike the ground.

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Electromagnetic wave in a vacuum moves at the speed of light.

option D.

The speed of an electromagnetic wave in a vacuum, denoted by the symbol "c," is approximately 300,000,000 meters per second (m/s) or approximately 186,282 miles per second (miles/s).

Examples of electromagnetic wave include;

The speed of electromagnetic waves is a fundamental constant of nature and is considered to be the maximum speed at which energy can be transmitted through space in the form of electromagnetic radiation, such as light.

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735N

(75 kg) * 9.8 (m / s) =

735 m kg / s

hope this helps!!

OniiSama~

Answer: By studying seismic waves scientists have learned about the layers of the Earth.

Answer:

(D) 421 kPa

Explanation:

The absolute pressure of the tire is equal to the pressure measured plus the atmospheric pressure of 101 kPa. Then, the absolute pressure is

P = 320 kPa + 101 kPa

P = 421 kPa

So, the answer is

(D) 421 kPa

To calculate the Taguchi quality cost, we need to multiply the length of each piece by the Taguchi parameter T, and then sum up the costs.

Given:

Length of the first metal rod = 49.19 cm

Length of the second metal rod = 49.93 cm

a) Taguchi parameter T:

Since we don't have the specific value of T, we cannot calculate it.

b) Taguchi Quality Cost of the second metal rod:

Taguchi Quality Cost = Length of the second metal rod * Taguchi parameter T

c) Taguchi Quality Cost of the first metal rod:

Taguchi Quality Cost = Length of the first metal rod * Taguchi parameter T

d) Total Taguchi Quality Cost of the two units:

Total Taguchi Quality Cost = Taguchi Quality Cost of the first metal rod + Taguchi Quality Cost of the second metal rod

Since we don't have the Taguchi parameter T, we cannot calculate the specific values for parts (b), (c), and (d).

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A phase difference of π radians (or 180 degrees) corresponds to complete out-of-phase alignment of the waves, resulting in destructive interference.

The phase difference between the waves can be calculated using the formula:

phase difference = (path difference / wavelength) x 2π

The path difference is the distance traveled by the two waves, and wavelength is the common wavelength of the waves.

In this case, the path difference is:

path difference = 0.60 m - 0.45 m = 0.15 m

The phase difference is therefore:

phase difference = (0.15 m / 0.30 m) x 2π = π

Phase difference refers to the difference in the phase angle between two waves. A phase angle represents the position of a wave in its cycle at a particular point in time. When two waves are in phase, their phase angles are the same and their crests and troughs coincide at the same points in space. When two waves are out of phase, their phase angles differ and their crests and troughs do not coincide.

The phase difference is an important concept in fields such as physics, engineering, and telecommunications. In physics, it is used to describe the interference patterns that result when two waves meet. In engineering, it is used to design and analyze circuits, especially in electronics and power systems. In telecommunications, it is used to optimize the transmission and reception of signals.

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The highway patrol car catches you after 125 sec

We know that,

s = ut + 1/2 at²

v = s / t

where,

s = Distance

u = Initial velocity

t = Time

a = Acceleration

Given that,

The patrol car has with a constant acceleration of 0.8 m / s²

Initial velocity of car = 0

Velocity of your vehicle = 50 m / s

After the traffic signal distance travelled by your vehicle and patrol car is equal and time taken is also equal.

For your vehicle,

s = v * t

For the patrol car,

s = ut + 1/2 at²

vt = ut + 1/2 at²

50 t = 0 + 1 / 2 * 0.8 * t²

t = 125 sec

Velocity is the distance travelled by an object with respect to time. Its unit is m / s

Therefore, the highway patrol car will catchup to you after 125 sec

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Answer:

Johannes Kepler

Answer:

the answer is Jupiter....

Main Asteroid Belt: The majority of known asteroids orbit within the asteroid belt between Mars and Jupiter, generally with not very elongated orbits. The belt is estimated to contain between 1.1 and 1.9 million asteroids larger than 1 kilometer (0.6 miles) in diameter, and millions of smaller ones

Answer:

The answer is Jupiter.

Explanation: