A researcher has collected the following sample data. The mean of the sample is 5 "3 5 12 3 2" Refer to exhibit 1. The variance is: Refer to Exhibit 1. The standard deviation is: 8.944 4.062 13.2 16.5 Refer to Exhibit 1. The coefficient of variation is: 72.66% 81.24% 264% 330% Refer to Exhibit 1. The range is: 1 2 10 12 Refer to Exhibit 1. The interquartile range is: 5 6 7 8

When the particle reaches its maximum x - coordinate then its velocity is (- 0.43j) m/s. and its position of the vector is  (9.26, - 5.67) m.

Let's assume that the time at which the particle arrives at its most extreme x coordinate is t.

(a) At that point "t", the velocity of the particle is given that:

v = v0 + at = (3.76i) m/s + (- 1.43i - 2.69j) [tex]m/s^2[/tex] * t

Since the particle arrives at its greatest x coordinate right now, its velocity in the x direction will be 0 m/s.

Thus, we have:

0 = 3.76i - 1.43t I

By solving t, we find:

t = 3.76/1.43

Substituting the value of t into the expression for velocity, we'll get:

v = (3.76i) m/s + (- 1.43i - 2.69j) m/s^2 * (3.76/1.43) = (- 0.43j) m/s

Thus, the velocity of the particle at the time it arrives at its maximum x coordinate is (- 0.43j) m/s.

(b) The position of the particle is given:

r = r0 + v0t + (1/2)at^2

Substituting in the values for r0 (origin), v0, a, and t, we find:

r = (0,0) + (3.76i) m/s * (3.76/1.43) + (1/2)(- 1.43i - 2.69j) [tex]m/s^2[/tex] * (([tex]3.76/1.43)^2[/tex]))

r = (9.26, - 5.67) m

Thus, the position of the particle when it arrives at its greatest x coordinate is (9.26, - 5.67) m.

To learn more about the velocity of a particle:

https://brainly.com/question/80295

#SPJ4

5. A 6.5 uC charge experiences a 5.9 N electric force that's also oriented downward. Find the direction and size of the electromagnetic current where this charge is located. 6. In an uniform electrical field, a protons is released form rest and speeds to the west with a velocity of 87 m/s. Find the electric field's direction and intensity.

Why is it difficult to determine the electromagnetic current of a loaded disc using Gauss's law? Describe the electrostatic force that pulls the objects closer.

When the point charges +8.44 106 C and Q are distanced by 1.31 m, the electrostatic attractive force between them has a value of 0.975 N. Compute the charge's sign and magnitude.

To know more about force click here

brainly.com/question/13191643

#SPJ4

It is the same everywhere between the plates if any edge effect is ignored statements is true concerning the strength of the electric field between two oppositely charged parallel plates. The correct answer is Option A.

When two oppositely charged parallel plates are connected to a power source, an electric field is established between them. The electric field represents the force experienced by a positive test charge placed in the field. The correct answer is Option A.

In this case, the electric field between the plates is uniform, meaning it has the same magnitude and direction at all points between the plates. This is true if we ignore any edge effects, which can occur near the edges of the plates. If the plates are infinitely large, the electric field will be constant everywhere between them. However, in real-world situations with finite-sized plates, edge effects can cause the electric field to deviate slightly near the edges.

Learn more about Electric Field here:

https://brainly.com/question/19878202

#SPJ2

Their new speed is 2.5 m/s. The result is obtained by using the Law of Conservation of Momentum.

The Law of Conservation of Momentum states that the total momentum in a closed system before and after the collision is constant.

The formula for this law can be expressed as

m₁v₁ + m₂v₂ + ... = m₁v₁' + m₂v₂' + ...

Where

The wooden model train car is traveling at 0.25 m/s. It hits another same model train car that is at rest.  They are united and move together. Each mass of the car is 0.20 kg.

Find their new speed!

We have

Since they are united after the collision, they have the same speed. So,

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

m(v₁ + v₂) = (2m)v'

0.20(0.25 + 0) = (0.20)v'

0.50 = 0.20v'

v' = 2.5 m/s

Hence, they move together with a new speed of 2.5 m/s.

Learn more about conservation of momentum here:

brainly.com/question/30432677

#SPJ4

The resultant displacement when adding two displacement vectors with magnitudes of 8.0 km and 4.0 km will have a magnitude of 10 km.

This is because the magnitude of the resultant displacement vector is equal to the square root of the sum of the squares of the magnitudes of the individual vectors. In this case, the magnitude of the resultant displacement vector is equal to the square root of (8.0 x 8.0) + (4.0 x 4.0), which is equal to 10 km.

Adding two vectors together can also be done by using the trigonometric method. The magnitude of the resultant vector is equal to the sum of the magnitudes of the individual vectors, while the direction of the resultant vector is the angle between the two vectors. To calculate the magnitude of the resultant vector, we use the Pythagorean theorem and the Law of Cosines.

Learn more about the magnitude of the displacement:

https://brainly.com/question/19104773

#SPJ4

The velocity of the gas particles will increase, as energy is directly proportional to temperature and temperature is directly proportional to velocity.

The relationship between energy, temperature and velocity of gas particles is known as the Kinetic Molecular Theory. According to this theory, an increase in energy will cause an increase in temperature, which in turn will cause an increase in the velocity of the gas particles. Therefore, if the energy in a vessel of gas is quadrupled, the temperature of the gas will also increase and the velocity of the gas particles will increase as a result. This increase in particle velocity is due to the fact that the particles have more energy to move around and are therefore able to move faster. The faster the particles move, the higher the velocity of the gas.

Learn more about gas particles: https://brainly.com/question/29555294

#SPJ4

The required value of force between the equal charges is calculated to be 0.44 N.

The relation between force, charges and distance is known to be

F = (k q₁ q₂)/r²

In this problem, the charges are said to be equal. So, q₁ = q₂.

Mathematical equation becomes, F₁ = k q²/r₁²

Force F₁ is given as, 4N

Distance between the charges r₁ = 2 m

Putting the values in the above equation, we have,

F₁ = k q²/r₁²

4 = k q²/4

So, k q² = 16

Now, r₂ is said to be increased to 6 m.

Let us find the force F₂.

F₂ = k q²/r₂²

Putting the known values, we have

F₂ = 16/36 = 0.44 N

Thus, the required force is calculated to be 0.44 N.

To know more about force:

https://brainly.com/question/12923370

#SPJ4

For a line segment, the line that passes through its midpoint and also perpendicular to it is called its perpendicular bisector.

A line that divides another line segment into two equal halves by intersecting it perpendicularly is known as a perpendicular bisector. A rule, compass, and pencil can be used to draw a perpendicular bisector.

When two lines cross at right angles or 90 degrees, they are said to be perpendicular to one another. A line that splits a line into two equally sized parts is known as a bisector. A line segment's perpendicular bisector suggests that it meets the segment at a 90-degree angle and splits it into two equal halves.

Therefore, For a line segment, the line that passes through its midpoint and also perpendicular to it is called its perpendicular bisector.

To know more about perpendicular bisectors refer to:

https://brainly.com/question/19044842

#SPJ4

As we move through the Milky Way galaxy, convert to light-years. NASA/JPL-Caltech is credited with producing the video. With the use of light-time, we can measure the vast distances of space.

Light flows through interstellar space at a speed of 186,000 miles per second (300,000 km/s) and a rate of 5.88 trillion miles (9.46 trillion km/s) each year.

Given the amount of time it takes for light to reach our eyes, everything we see in the night sky has already occurred. In other words, if you see something from a distance of 1 light-year away, you see it precisely as it was a year ago.

Therefore, The distance that light travels in a light-year is one year. Light flows through interstellar space at a speed of 186,000 miles per second (300,000 km/s) and a rate of 5.88 trillion miles (9.46 trillion km/s) each year.

Learn more about light year here:

https://brainly.com/question/1302132

#SPJ4

As we move through the Milky Way galaxy, convert to light-years. Caltech is credited with producing the video. With the use of light-time, we can measure the vast distances of space.

Light flows through interstellar space at a speed of 186,000 miles per second (300,000 km/s) and a rate of 5.88 trillion miles (9.46 trillion km/s) each year.

Given the amount of time it takes for light to reach our eyes, everything we see in the night sky has already occurred. In other words, if you see something from a distance of 1 light-year away, you see it precisely as it was a year ago.

Therefore, The distance that light travels in a light-year is one year. Light flows through interstellar space at a speed of 186,000 miles per second (300,000 km/s) and a rate of 5.88 trillion miles (9.46 trillion km/s) each year.

Learn more about light year here:

brainly.com/question/1302132

#SPJ4

Coulomb's law may be used to compute the electric field at a location halfway between two charges: E = k * q / r^2 Where k is the Coulomb constant (8.99 x 109 Nm2/C2), q is the total charge.

and r is the distance between the charge and the point. Because the two charges have opposing magnitudes and signs, we will first compute the net charge q and then use this number to determine the electric field: q = 2.0°C - (-3.0°C) = 2.0°C + 3.0°C = 5.0°C r = 0.16 m / 2 = 0.08 m E = 8.99 x 109 Nm2/C2) * (5.0 x 10-6 C) / (0.08 m)2 = 6.0 x 107 N/C As a result, the electric field at the midpoint between the two charges is 6.0 x 107 N/C.. two charges of 2.0 μc and -3.0 μc are 0.16 m apart.  the electric field at the point midway between the two charges.

learn more about magnitudes  here:

https://brainly.com/question/14452091

#SPJ4

Whilst equatorial diameter is somewhat bigger at 7930 miles, the distance between the south and north poles is roughly 7900 miles. This gives us just a circumference of the Earth of around 25,000 miles.

Is the Earth's radius 24000 miles?

The standard measurement of the earth's circumference today is 40,096 km (24,901 miles).

How do the ancient Greeks determine the circumference of the Earth?

800 kilometers, or 5,000 stades, separated the two cities when Eratosthenes employed a man to time the distance between them. The Earth's circumference can therefore be calculated using straightforward ratios; as 7.2 degrees is 1/50 or 360 degrees, 800 multiplied by 50 = 40,000 kilometers.

To know more circumference about:

https://brainly.com/question/4268218

SPJ4

Whilst equatorial diameter is somewhat bigger at 7930 miles, the distance between the south and north poles is roughly 7900 miles. This gives us just a circumference of the Earth of around 25,000 miles.

Is the Earth's radius 24000 miles?

The standard measurement of the earth's circumference today is 40,096 km (24,901 miles).

How do the ancient Greeks determine the circumference of the Earth?

800 kilometers, or 5,000 stades, separated the two cities when Eratosthenes employed a man to time the distance between them. The Earth's circumference can therefore be calculated using straightforward ratios; as 7.2 degrees is 1/50 or 360 degrees, 800 multiplied by 50 = 40,000 kilometers.

To know more circumference about:

brainly.com/question/4268218

#SPJ4

When the pulling force is first applied, the cannula doesn't move because of the static friction. After a while, at a certain amount of applied force, friction increases until the limit reached its threshold for the motion.

Friction is the force that resists the sliding motion between two surfaces. It can be kinetic or static. Static friction happens when the two surfaces don't slide because the amount of static friction fully counteracts an applied force. It happens until the upper limit is reached, which will happen when one applied enough amount of force to the surface. Once the upper limit is reached, the surfaces will start to slide against each other, in which the static friction becomes kinetic friction.

Learn more about friction at https://brainly.com/question/15122221

#SPJ4

The student should move the magnet closer to the paper clip. Therefore, the correct option is option D among all the given options.

Magnetic fields, which result from the movement of electric charges, are a phenomena known as magnetism. This motion can assume many different shapes. It might be the movement of an electron in an atomic orbital, charged particles traveling across space, or an electric current flowing through a conductor.

Additionally, spin-containing fundamental particles like the electron are connected to magnetism. Paper clip Y is not attracted to the magnet. The student should move the magnet closer to the paper clip.

Therefore, the correct option is option D among all the given options. The student should move the magnet closer to the paper clip.

To know more about magnet, here:

https://brainly.com/question/12740727

#SPJ1

The weight of the box was 95 Newtons. This description includes a vector quantity.

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

The measurement of a body's weight is the gravitational force acting on it. We can claim that weight is a vector quantity since we know that a force has a magnitude and a direction.

Learn more about vector here:

https://brainly.com/question/29740341

#SPJ1

A new frequency of 200 Hz will be generated by the generator when the string's tension is doubled. The wavelength is 0.2 m.

Given:
Frequency, f = 100 Hz

Wavelength, 10 cm

From the wave equation for a string:

v = f × λ

v = (100 Hz) × (10 cm)

v = (100 Hz) × (0.10 m) = 10 m/s

When the tension is doubled, the new frequency is:

f' = 2 × 100 Hz

f' = 200 Hz

The  new wavelength is:

2 ×  0.1 = 0.2 m  

Hence, the frequency is 200 Hz.

To learn more about frequency, here:
https://brainly.com/question/30783512

#SPJ12

The amount of work that must be done on the spring to stretch it to 20 cm is 1.6 J.

The amount of work done on the spring is calculated by applying the following formula as shown below.

W = ¹/₂kx²

where;

The amount of work that must be done on the spring to stretch it to 20 cm is calculated as follows;

W = ¹/₂ x ( 80 N/m ) x ( 0.2 m ) ²

W = 1.6 J

Learn more about work done here: https://brainly.com/question/8119756

#SPJ1

Work will have been done by gravity is Ws=159.72 J

Given:

• The fore exerting on box is F=40 N.

• The distance covered by box is d=5 m.

• The angle to the horizontal is 0 = 37°.

The expression of work done by the gravity is given by,

WS=Fdcostheta

Substitute the values in the above expression.

Ws=(40 N) x (5 m) x cos37"

Ws=159.72 J

The product of a force's component acting in the displacement's direction and its magnitude is known as the work done by the force.

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

Learn more about work done:

brainly.com/question/25573309

#SPJ4

The resistor and voltage source both are receiving power (36W each).

Ohm's law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Mathematically, it can be expressed as:

I = V/R

The current flowing through the resistor (iR) can be found using Ohm's law: iR = V/R = 12V/4Ω = 3A.

The power for each element in the circuit can be found using the formula P = IV, where P is power, I is current, and V is voltage.

For the resistor, P = iR * V = 3A * 12V = 36W.

For the voltage source, P = IV = 3A * 12V = 36W.

So, both the resistor and voltage source are receiving power (36W each).

To know more about power, visit:

https://brainly.com/question/29575208

#SPJ4

Temperature is a measure of the average kinetic energy of the particles in a substance.

Normally, it is expressed in kelvin (K) or degrees Celsius (°C) units. According to the ideal gas equation, PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is gas constant, and T is temperature in kelvin.

A substance's temperature has a direct correlation with the kinetic energy of its particles. The kinetic energy of a material's particles increases with rising substance temperature and decreases with falling substance temperature.

The idea of thermal energy, which is the sum of the kinetic and potential energy of the particles in a substance, can also be used to represent the average kinetic energy of the particles in a substance.

A substance's thermal energy is inversely proportional to its temperature and can be raised by heating it up or raising the kinetic energy of its constituent particles.

It is crucial to understand that temperature is actually a measurement of the average kinetic energy of the particles present in a substance rather than the quantity of heat it contains.

The amount of heat needed to increase the temperature of one unit of mass of a substance by one degree can be used to determine a substance's specific heat content.

Learn more about kinetic energy at

https://brainly.com/question/26520543

The change in length of the circular strut DC = 0.00018 in.

The vertical displacement of the rigid bar at point B = 0.00009 in.

The change in length of the circular strut can be calculated as follows:

[tex]\triangle L = \frac{P * L}{(\pi * R^2 * E)}[/tex] where L is the length of the strut (approximated as the height difference between points C and D), R is the average radius of the strut (14.7 in), and E is the modulus of elasticity of steel (29,000 ksi).

[tex]\triangle L = 5 * \sqrt{2} * (15/2) / (\pi * (14.7^2) * 29000)[/tex]

= 0.00018 in

The vertical displacement of the rigid bar at point B can be calculated as follows:

Δy = ΔL / 2

Δy = 0.00018 / 2 = 0.00009 in

So, the change in length of the circular strut DC is 0.00018 inches and the vertical displacement of the rigid bar at point B is 0.00009 inches.

Learn more about vertical displacement here:

https://brainly.com/question/17068038

The complete question is:

Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15in. and inner diameter of 14.4in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?

#SPJ4

"Convection occurs as nitrogen gas gains heat from the coil of the external cooler," best describes heat transfer in the Hampson-Linde cycle external cooler. Thus, Option D holds the truth.

In the Hampson-Linde cycle, the external cooler operates by exchanging heat between the refrigerant (nitrogen gas) and the cooling medium (dry ice). The nitrogen gas circulates through the coil of the external cooler and loses heat to the cooling medium through the process of convection. Convection is the transfer of heat by the movement of fluids (in this case, nitrogen gas).

As the nitrogen gas moves through the coil, it comes into contact with the colder dry ice and loses heat, causing it to cool. The cooled nitrogen gas then returns to the rest of the cycle to be recompressed and cooled again.

Learn more about heat transfer here: brainly.com/question/27799633

#SPJ4

A) OF = 2.25 x 10-6 N in the -i direction, E = 2.25 x 103 N/C in the -i direction and f = -i.  The direction of the force on the test charge is opposite to the direction of the electric field due to Coulomb's law.

The magnitude of the force and electric field are equal as the test charge is positioned such that the electric field is uniform and proportional to the force. The use of unit vector notation simplifies the representation of the force vector, making it easier to perform vector operations and compare forces in different scenarios. The expression for the force in unit vector notation, f = -i, simply represents the force as a vector in the -i direction with magnitude equal to the magnitude of the force. This notation makes it easier to perform vector operations, such as addition and subtraction of forces, and to compare forces in different situations.

learn more about Coulomb's law here:

brainly.com/question/506926

#SPJ4

The amount of time the force was exerted on the ball is 3.33 x 10⁻⁴ second.

The amount of time the force was exerted on the ball is calculated as follows;

F = ma

F = m ( v - u ) / t

where;

t = m ( v - u ) / F

t = ( 0.45 ) ( 25 - 20 ) / 6750

t = ( 0.45 x 5 ) / ( 6750 )

t = 3.33 x 10⁻⁴ second

Learn more about force exerted here: https://brainly.com/question/388851

#SPJ1

Newton's First Law, also known as the law of inertia, explains why a test dummy keeps moving until it collides with another object.

Newton's First Law states that an object at rest will remain at rest, and an object in motion will continue to move in a straight line with a constant velocity unless acted upon by an external force. In other words, unless something stops it, an object will continue to move in the same direction and at the same speed.

A test dummy is in motion and will continue to move forward until it comes into contact with another object. This contact with another object applies force to the test dummy, causing it to come to a halt.

As a result, Newton's First laws explain why a test dummy continues forward until it makes contact with another object

To Learn More About velocity click

https://brainly.com/question/18084516

#SPJ4

Answer:

50 mph

Explanation:

The average speed of an object can be calculated by dividing the total distance traveled by the total time taken.

Average speed = distance traveled / time taken

Average speed = 300 miles / 6 hours = 50 mph

A) A damped oscillator's amplitude drops to 0.9 times its initial value in 5 seconds. In another ten seconds, it will shrink to a size equal to twice its initial magnitude 0.81.

A damped oscillator's amplitude drops to 0.9 times its initial value in 5 seconds. It will shrink to times its initial magnitude in another 10 seconds, where equals.

The frequency of a damped harmonic oscillator is 5 oscillations per second. Every ten oscillations, the amplitude is reduced to half of its original magnitude.

Damping forces oppose motion, resulting in energy loss from the oscillating system, which lowers the oscillation's amplitude.

To learn more about oscillator's amplitude here:

https://brainly.com/question/15272453

#SPJ4

The resulting kinetic energy of each electron would be equal to 11 keV.

The kinetic energy (KE) of a moving object can be calculated using the equation KE = 1/2 mv^2, where m is the mass of the object and v is its velocity. When electrons are accelerated by a potential difference, they gain kinetic energy due to their increased velocity.

In an electron gun, electrons are accelerated by a potential difference of 11.0 kV, which means that 11,000 volts of electrical energy are used to give the electrons kinetic energy. The resulting kinetic energy of each electron can be calculated using the equation KE = qV, where q is the charge of the electron and V is the potential difference.

The charge of an electron is -1.60 x 10^-19 C, so the kinetic energy of each electron can be calculated as follows:

KE = qV = (-1.60 x 10^-19 C) * (11,000 V) = -1.76 x 10^-14 J = -1.76 x 10^-14 / 1.60 x 10^-19 = -11 eV, or -11 electron volts.

So, the resulting kinetic energy of each electron would be equal to 11 electron volts, or 11 keV.

To know more about kinetic energy here:

https://brainly.com/question/26472013#

#SPJ11

(a) The value of q/q that makes the net electrostatic force on each of the four charges zero is q²/(2L²).

(b) Yes, there is a value of q that makes the net electrostatic force on each of the four charges zero.

Electrostatic force is a force of attraction or repulsion that acts between particles that are electrically charged. It is a type of Coulomb force and is typically much stronger than gravitational forces.

(a)  Let q be the charge on particle 1, and q/q be the charge on particle 4.

For particle 1: F1 = (q²)/(4L²) - (q*q)/(2L²) = 0

For particle 4: F4 = (q*q)/(2L²) - (q²)/(4L²) = 0

Solving these two equations simultaneously yields:

q/q = q/q = q²/(2L²)

Therefore, the value of q/q that makes the net electrostatic force on each of the four charges zero is q²/(2L²).

(b) Yes, there is a value of q that makes the net electrostatic force on each of the four charges zero. The value of q that makes the net electrostatic force on each of the four charges zero is equal to the opposite charge of the other three charges.

To learn more about electrostatic force

Here: https://brainly.com/question/9774180

#SPJ1

Microarray analysis is based on the measurement of the amount of specific nucleic acid molecules (DNA or RNA) in a sample, which is done by hybridization with a large set of complementary probes attached to a solid support, such as a glass slide.

The probes are usually short sequences of DNA or RNA that match specific target sequences in the sample. The hybridization of target sequences to the probes on the microarray is dependent on the complementarity between the sequences, the temperature, and the ionic strength of the hybridization buffer. After hybridization, the amount of target bound to each probe is determined, usually by fluorescence or radioactive labeling, and the signal intensity is measured and analyzed to determine the relative amount of each target sequence in the sample. This allows for the simultaneous analysis of thousands of genes or transcripts in a single experiment, making it a powerful tool in genomics and molecular biology research.

Learn more about microarray:

brainly.com/question/30001345

#SPJ4

Equation of the ellipse is  x^2/a^2 + y^2/b^2 = 1

where an is the semi-major axis (the opposite half of the major axis) and b is the semi-minor axis (half of the minor axis).

The semi-major axis, which measures the distance from the planet's center to one of the foci, is the average of the minimum and maximum distances between the planet and the star:

(70 + 280)/2 = (175 million km)=a

The semi-major axis is equal to the square root of the product of the center-to-other-focus distance and the semi-major axis, divided by the difference between these two numbers:

105 million kilometers is equal to b = (a * 70 / (a - 70)) = 175 * 70.

Consequently, the orbital ellipse of the planet has the following equation:

x^2/175^2 + y^2/105^2 = 1

The ellipse describing the planet's orbit around the star has the following equation in millions of kilometers:

x^2/30,625 + y^2/11,025 = 1

Learn more about ellipse:

https://brainly.com/question/27759340

#SPJ4