Blue and white wands are rubbed together and held 1.35 cm apart. If the charge on the white- faced wand is 1.38 x 10-10 C, what is the magnitude of the force each wand ex one? Is the force attractive or repulsive? State your assumptions. (8 pts) erts on the other

Given a force F = 5 kN operating at an angle of = 30°, the size of the resulting force may be calculated as follows:[tex]\begin{equation}(F 2+F 2-2 F x F \cos ())=R\end{equation}[/tex] is the resulting force's size.

F is the magnitude of each force, and is the angle between the forces. When we plug in the values, we get: [tex]R = √(5^2 + 5^2 - 2 * 5 * 5 * cos(30°)) R = √(25 + 25 - 50 * √(3)/2) R = √(50 - 25 * √(3)) R = √(50 * (1 - √(3))) R = √(50 * (√(3) - 1)) R ≈ 7.07 N[/tex] The inverse tangent (arctan) function may be used to calculate the direction of the resulting force, as shown below: arctan(Fsin() / (Fcos() + F)) where is the resulting force angle measured counterclockwise from the positive x-axis. When we plug in the values, we get: [tex]arctan(5 * sin(30°) / (5 * cos(30°) + 5) arctan(0.5 / 2.5) = Φ ≈ 14.04°[/tex] As a result, the resulting force has a value of roughly 7.07 N and a direction of approximately 14.04° counterclockwise from the positive x-axis.

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If a star of mass 2 solar masses has a planet with a period of 2 years, then 2AU is the planet's separation (distance) from the star.

The orbital period of a planet—the amount of time it takes for one orbit to complete—relates to its mean distance from the Sun according to Kepler's third law, often known as the Harmonic Law. The closest planets have the fastest speeds and the shortest orbital periods, according to this law. History. In 1609, Kepler published his first two planetary motion laws, which he had discovered by examining Tycho Brahe's astronomical data. In 1619, Kepler's third law was made public.

we have Keplers third law of planetry motions as

[tex]p^{2}=a^{3}/(M_{s}+M_{p})[/tex]

where

p= period

a= distance in AU

Ms= mass of star

Mp=mass of planet

we will assume

Ms + Mp = Ms

(As mas of planet is very small compare to star)

Now,

2² x 2 = a³

a = 2 AU

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A ball on an inclined plane (C) can accelerate at speeds between 0 and g.

An inclined plane, also referred to as a ramp, is a flat supporting surface that is tilted at an angle and has one end that is higher than the other.

One of the six simple machines, the inclined plane helps raise or lower a load. The unbalanced force causes objects placed on an inclined plane to accelerate.

In an inclined plane, the normal force does not act in the way that we are used to. Up until this point, normal force has always been seen to be directed upward, counter to the pull of gravity.

The truth is that normal forces are not always upward.

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The equilibrant force is 45 N, acting in the direction opposite to the net force.

The equilibrant force is the force that is required to balance all other forces acting on an object in a specific situation. To find the equilibrant force for the given forces, you need to determine the net force acting on the object.

The net force can be found by adding the individual forces acting on the object:

Net force = 53 N + 28 N - 12 N - 24 N = 45 N

Equilibrant force = - 45 N = 45 N, acting in the opposite direction of the net force.

In this case, the equilibrant force is 45 N, acting in the direction opposite to the net force.

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Current it draws when it is connected to a 120-V Voltage Source is calculated as 10A.

Electric power (P) of any appliance is defined as the product of the voltage applied on it (V) and the current that flows in it (I).

The rate at which work is done or energy is transferred in an electrical circuit is called electric power or we can also say that it is a measure of how much energy is used in a span of time.

Therefore, P=I*V.

We need to calculate the current and we have the power and the voltage.

Given a heater rated at 1200 W and connected to  120 V voltage source will draw a current of 1200 W / 120 V = 10 A.

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Answer:

A

Explanation:

because i just knowg a hdduehdudhdreheiei

The electric field at the center of the square when three sides of square have a charge of 4 coulomb will be zero.

This is because the electric fields from each side of the square will cancel each other out. The electric field of a single side of the square is given by the equation E = q/4πεr, where q is the charge, ε is the permittivity of free space, and r is the distance from the center of the square. Since the distances from the center of the square to the sides are all equal, the electric fields from the sides will be equal in magnitude and opposite in direction, meaning that the net electric field at the center of the square will be zero.

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A small metal sphere with charge 1.2×10−5C is touched to an identical neutral sphere and then placed 0.15m from the second sphere. 3.33 x 10^-7 N is the electric force between the two spheres.

The electric force between two charged spheres can be calculated using Coulomb's equation, which states that the force between two point charges is directly proportional to the product of the inversely proportional to the square of the separation between them and charge.

=> F = k.q1.q2 ÷ r^2

here F is force between the two spheres,

k is Coulomb constant (8.99 x 10^9 N x m^2 / C^2),

q1 and q2 are magnitudes of charges on two spheres,

r is distance between their centers.

In this case, the two spheres have charges of

=> q1 = 1.2 x 10^-5 C

=> q2 = 1.2 x 10^-5 C,

they are separated by a distance of,

=> r = 0.15 m.

=> F

= k x q1 x q2 / r^2

= 8.99 x 10^9 N x m^2 / C^2 x 1.2 x 10^-5 C x 1.2 x 10^-5 C / (0.15 m)^2

= 3.33 x 10^-7 N

Hence, the electric force between the two spheres is 3.33 x 10^-7 N.

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The given statement "an experiment must have a placebo group in order to be valid" is not true because not all experiments require a placebo group in order to be considered valid.

A placebo group is used in some experimental designs to control for the placebo effect, where a participant's expectations or beliefs about a treatment can influence the outcome. However, there are many other experimental designs that do not require a placebo group, such as observational studies, crossover studies, and randomized controlled trials. The appropriate design depends on the research question being asked and the type of treatment being tested.

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The direction of the electric field at point "A" is from left to right and the direction of the electric field at point "B" is from right to left. The direction of the electric field at point "C" is downward.

The electric field is a field that describes the force experienced by a charged particle due to the presence of other charged particles or electric charges. The electric field is a fundamental concept in electromagnetism and is used to understand and predict the behavior of charged particles in various situations.

Electric field lines are used to represent the direction of the electric field. They are lines that start from positive charges and end at negative charges. The direction of the electric field at any given point is the direction in which a positive test charge would be pushed if placed in the field. The closer the electric field lines are together, the stronger the electric field is in that region.

The electric field can be caused by a variety of sources, including point charges, distributed charges, and electric dipoles. The electric field can also be influenced by other factors such as conductors, insulators, and dielectrics.

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Using the wavelength of maximum absorption is important in spectrophotometry because it helps to increase the accuracy and sensitivity of the measurement.

The amount of light absorbed by a sample is proportional to its concentration, so spectrophotometry is a useful tool for determining the concentration of a substance in solution. However, not all wavelengths of light are absorbed equally by a sample, and the absorption varies depending on the chemical properties of the substance. By using the wavelength of maximum absorption, the measurement is optimized to detect the maximum amount of light that the sample will absorb, increasing the accuracy of the results. Additionally, using the wavelength of maximum absorption can help to minimize interference from other substances in the sample and improve the sensitivity of the measurement.

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(a) Tensile strength can be calculated using the formula:

Tensile strength = Maximum load / Cross-sectional area

Tensile strength = 20,000 lb / 0.5 in2 = 40,000 psi

(b) Engineering strain can be calculated using the formula:

Engineering strain = (Change in length) / (Initial length)

Engineering strain = (0.25 * 2.0 in) / 2.0 in = 0.25

(c) True stress can be calculated using the formula:

True stress = Maximum load / Original cross-sectional area

True stress = 20,000 lb / (0.5 in2 * (1 + 0.25)) = 26,666 psi

(d) True strain can be calculated using the formula:

True strain = ln (1 + Engineering strain)

True strain = ln (1 + 0.25) = 0.2586

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Answer:

H = V0 t - 1/2 g t^2        height (from top of building) after t sec

H = 25 * .25 - 9.8 / 2 * .25^2 = 5.94 m

H = 6 m after .25 sec and the total height is 36 m

h =36 m above ground

The elevation of the stone following 0.25 seconds is 36 meters above the ground, as shown by the question.

To separate the enzyme's impact from the uncatalyzed action. Since enzymes are permanently destroyed throughout catalysis, it is necessary to determine the reaction's rate with a known [E]T. to calculate the reaction's speed using a given [S] before it starts to alter noticeably over time.

H = V0 t - 1/2 g t^2       height (from top of building) after t sec

H = 25 * .25 - 9.8 / 2 * .25^2 = 5.94 m

H = 6 m after .25 sec and the total height is 36 m

h =36 m above ground

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B

Explanation:

I suggest option B for you but you could research more on it

A. Hypothesis (What do you believe will happen?) People who increased their caloric intake by 1000 calories per day are more likely to develop hypertension (high blood pressure).

Hypothesis is a process of generating testable predictions about a certain phenomenon. It is an educated guess or explanation of a certain phenomenon, based on available facts and evidence. It is the starting point for further investigation and helps to determine the outcome of a scientific experiment. Hypothesis helps to develop a framework of understanding and can be used to create further predictions. It is an essential step in the scientific method, as it helps to structure an experiment and provide a basis for further evaluation.

B. Experiment (Procedures that lead to a discovery or test a hypothesis.) An experimental group of 20 subjects will consume an extra 1000 calories per day from fast food, in addition to their normal daily caloric intake. A control group of 20 subjects will not consume an extra 1000 calories from fast food and will continue with their normal diet. The blood pressure of each subject in both groups will be recorded once per week for eight weeks.

C. Results (The outcome of the experiment.) After eight weeks, 70% of subjects in the experimental group had developed hypertension. In the control group, only 5% of subjects developed hypertension. The hypothesis was supported by the data; the increased intake of calories in the experimental group increased the likelihood of developing hypertension.

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The density of mercury is 13,600 kg/m³.

The density of a substance is the ratio between the mass of a substance to the volume of the substance. The specific gravity of a substance or relative density of a substance is the ratio between the density of a substance to the density of water.

SG of a substance = ρ of a substance ÷ ρ water

The specific gravity of a substance is also the ratio of the mass of a substance to the mass of water. The volume of a substance is equal to the volume of water.

SG mercury = ρ mercury ÷ ρ water

13.6 = ρ mercury ÷ 1,000

ρ mercury = 13.6 × 1,000

ρ mercury = 13.600 kg/m³

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The peak wavelength of energy radiated by a planetary body with a surface temperature near 10°C, like Earth, is around 10 micrometers.

The amount of energy radiated by a body is related to its temperature, and the peak wavelength of that energy is a characteristic of the temperature. The relationship between the peak wavelength and temperature is described by Wien's law, which states that the peak wavelength of energy radiated by a black body is proportional to the reciprocal of its temperature in kelvin.

Since the surface temperature of Earth is around 10°C, or 283 kelvin, the peak wavelength of energy radiated by Earth can be calculated as:

Peak wavelength (in micrometers) = 2.898 * 10^-3 / T

Where T is the temperature in kelvin. Plugging in the temperature of Earth gives us a peak wavelength of around 10 micrometers.

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A load of 60 j 80 has a current of 9.60 a with a phase angle of 30o, the real power absorbed by the load is P=5529.61W

Z₁ = 60+j80

I=96/30 A

VL= 2. ZL= (9.6(30) 60+j80)

V₁ =(19.6/30") (100|53.136)

Vl=960 (83.130) V

power absorbed by Land

= (960) (9.6) cos(83.136 - 30°)

P=5529.61W

Real power is the amount of energy that is actually consumed by the resistive load, whereas perceived power is the amount of energy that the grid must be able to handle. Real power is measured in watts, but apparent power is measured in VA (Volt Ampere),

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The electric field due to charge 1 at the origin is 2.24 x 10^5 N/C in the direction to the left.

Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It is represented as F = (k * q1 * q2) / r2, where F is the force, k is a constant, q1 and q2 are the charges, and r is the distance between the two particles.

Charge 1: 50.0 nC, located 20.0 cm to the left of origin

Charge 2: 35.0 cm to the right of origin

Using Coulomb's Law, the electric field at the origin due to charge 1 is:

E1 = kQ1/r^2

Where:

k = 8.99 x 10^9 Nm^2/C^2

Q1 = 50.0 nC = 5.00 x 10^-7 C

r = 20.0 cm = 0.20 m

Therefore,

E1 = (8.99 x 10^9 Nm^2/C^2)(5.00 x 10^-7 C)/(0.20m)^2

E1 = 2.24 x 10^5 N/C

Hence, the electric field due to charge 1 at the origin is 2.24 x 10^5 N/C in the direction to the left.

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The M9 service pistol failing to eject the cartridge is called Stovepipe.

When an empty cartridge case gets caught partway out of the ejection port instead of being thrown clear, it causes a stovepipe or smokestack in bolt-action, pump-action, semi-automatic, and fully automatic firearms that fire from a closed bolt.
Stovepipes are caused by insufficient cycling and incomplete ejection. Possible causes include: "Limp-wristing" is the practise of holding the gun so loosely that it almost points straight up during recoil. This prevents the slide from fully cycling.
The round was not loaded with enough powder to properly cycle the action, and the empty shell is now trapped between the slide and the chamber. The grip on the gun was insufficient to keep it steady as the action cycled after the shot.

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The options 1 and 4 are correct given that the concept of constant velocity applies to their situation where, and object moves in a constant speed and direction.

What is velocity?

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50 joules and 100 joules will be kinetic energy at half-way down the ramp and at the bottom the ramp respectively  assuming there is no friction.

What exactly is the law of conservation of energy ?

According to the rule of conservation of energy, energy cannot be created or destroyed. For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall.

If an object contains 100 joules of potential energy at point an in the beginning, then at point b, the object's kinetic energy will be deducted from the 100 joules of potential energy that were initially there. This is due to the fact that no new energy will be created or lost as the potential energy is converted to kinetic energy.

P.E + K.E = 0

At half-way down the ramp , P.E will be 100/2 i.e. 50joules

At the bottom the ramp, P.E will be Equal to K.E i.e. 100joules.

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According to the law of conservation of energy, energy cannot be created or destroyed. Energy changes into different forms, and potential energy plus kinetic energy equals a constant.

The physical energy of the system is conserved in the scenario of a freely falling body. The kinetic energy (K) and potential energy (U) of the freely falling body are added to form mechanical energy (E).

Thus, E = K + U = constant.

Potential energy is the opposite of the work performed by a force that affects the body. In the case of earth's gravity, the potential energy of a body with mass m and height h is given by the equation:

PE = mgh.

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The sketch for the voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle would look like this:

The voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle is a type of waveform that is commonly used in digital electronics. This type of waveform is important because it is used to represent the logical states of digital circuits, such as 0's and 1's.

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w1 and wr are the angular velocities will be the correct answer .

What is Distance ?

Distance is a scalar quantity that describes the amount of space between two points. It is usually measured in units of length, such as meters, kilometers, or miles. Distance can be calculated as the magnitude of the displacement vector, which is the difference between the initial and final positions of an object.

In physics, distance can be used to describe the length of a physical object, the distance between two points in space, or the length of a path taken by an object. In mathematics, the concept of distance is often used in geometry and can refer to the length of a line segment, the shortest distance between two points, or the distance between two shapes.

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The electron's motion can be described as a combination of constant-speed horizontal motion and gravity-influenced vertical motion. The vertical motion can be described using the following equation:

y = v₀t + (1/2)gt²

where y represents vertical displacement, v0 represents initial vertical velocity (0 m/s), t represents the time elapsed, g represents gravity's acceleration (9.8 m/s²), and t represents the time elapsed.

Because the electron moves horizontally at a constant speed, its horizontal distance can be expressed as:

x = vt

where v denotes horizontal velocity (1.5 x 10(6) m/s).

We can use the relationship between horizontal and vertical distances to calculate the time elapsed:

35 cm = 0.35 m x = vt

t = x / v

Plugging in the values:

t = 0.35 m / (1.5 x 10⁶ m/s)

Substituting the time elapsed into the equation for the vertical displacement:

y = v₀t + (1/2)gt²

y = 0 m/s + (1/2)(9.8 m/s²)(t²)

So the electron will fall a distance of y in the vertical direction before hitting the screen.

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Experimental measurements don't necessarily reflect a physical quantity's genuine value. The ideal or theoretical value of a physical quantity, which is never perfectly measurable in reality, is that quantity's true value.

When a physical quantity is measured, it is always subject to a variety of causes of error, including the constraints of the measuring device, the environment, operator error, and random fluctuations.

The most that can be done is an estimation of the true value, which is expressed as a measured value with a corresponding uncertainty. The range of values that can be logically regarded as the actual value of the quantity being measured is reflected in the uncertainty. The accuracy of the measuring device, the operator's expertise, and the repeatability of the measurement process are all elements that influence the measurement's uncertainty. In conclusion, experimental measurements provide an estimate of a physical quantity's real value rather than the actual value.

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According the diagram, the magnitude of resultant force at A was found to be 1183N.

Calculation:

First, we have to calculate the position vectors of all the point symbols:

Position vector of A= 0i+ 0j+ 6k

Position vector of B= 3i- 2j+ 0k

Position vector of C= 2i+ 3j+ 0k

Vector AB is formed by

Vector AB= Position vector of B - Position vector of A= (3i- 2j+ 0k) – (0i+ 0j+ 6k)= 3i- 2j- 6k

Magnitude of Vector AB= √(i^2+ j^2+ k^2) = √(3^2 +2^2 +6^2)= 7

Univector of AB= UAB = Vector AB/ Magnitude of Vector AB= (3i- 2j- 6k)/7 = 0.429i- 0.28j- 0.857k

Magnitude of force at B= 840N

Cartesian vector form of AB= (Magnitude of force at B)*( Univector of AB)= 840*(0.429i- 0.28j- 0.857k)

Cartesian vector form of AB= 360i- 240j- 720k

Similarly for vector AC,

Vector AC= Position vector of C - Position vector of A= (2i- 3j+ 0k) – (0i+ 0j+ 6k)= 2i+ 3j- 6k

Magnitude of Vector AC= √(i^2+ j^2+ k^2) = √(2^2 +3^2 +6^2)= 7

Univector of AC= UAC = Vector AC/ Magnitude of Vector AC= (2i+ 3j- 6k)/7= 0.286i- 0.429j- 0.857k

Magnitude of force at C= 420N

Cartesian vector form of AC= (Magnitude of force at C)*(Univector of AC)= 420*(0.429i- 0.28j- 0.857k)

Cartesian vector form of AC= 120i+ 180j- 360k

With the two Cartesian vector forms, we can calculate resultant force at A= (120i+ 180j- 360k) + (360i- 240j- 720k)= 480i- 60j- 1080k

Magnitude of resultant force at A= √ (i^2+ j^2+ k^2)= 1183N

Complete question: attached in document

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It will take the astronaut approximately 4.74 seconds to reach the ship after she becomes disconnected from the cord.

This is a problem of one-dimensional motion with a constant acceleration, which can be solved using Newton's second law of motion. The acceleration experienced by the astronaut is equal to the force of gravity divided by her mass.

First, let's calculate the force of gravity acting on the astronaut:

F_gravity = m * g

where m is the mass of the astronaut (91 kg) and g is the acceleration due to gravity (9.8 m/s^2 on Earth).

Next, let's calculate the net force acting on the astronaut:

F_net = F_gravity - F_tool

where F_tool is the force exerted by the tool on the astronaut as it is thrown away from the ship (1 kg * 9 m/s = 9 N).

Finally, we can use Newton's second law to calculate the acceleration experienced by the astronaut:

a = F_net / m = (F_gravity - F_tool) / m = (91 * 9.8 - 9) / 91 = 0.89 m/s^2

To find the time it takes for the astronaut to reach the ship, we use the equation for one-dimensional motion with constant acceleration:

d = v0 * t + 0.5 * a * t^2

where d is the distance to the ship (10 m), v0 is the initial velocity of the astronaut (0 m/s), and t is the time elapsed.

Solving for t, we get:

t = sqrt(2 * d / a) = sqrt(2 * 10 / 0.89) = sqrt(22.47) = 4.74 s

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The point between the two charges where the electric field equal to zero is calculated to be 1.55 m.

The charge q₁ is given as 3 nc = 3 × 10⁻⁹ c

It is located at x₁ = 0.

The charge q₂ is given as 7.5 nc = 7.5 × 10⁻⁹ c

It is located at x₂ = 4 m.

Let us suppose that, electric field is zero at the point x, it is in between 0 and 4 m.

We know the formula for electric field as,

E = k q /r²

Let us equate the electric field at both the charges.

k q₁/x² = k q₂/(x₂ - x)²

q₁ (x₂ - x)² = q₂ x²

3 × 10⁻⁹× (4 - x)² = 7.5 × 10⁻⁹ × x²

3 × ( 16 + x² - 8x) = 7.5 ×x²

48 + 3x² - 24x = 7.5x²

4.5 x² + 24x - 48 = 0

The two values of x are,

x = 1.55, -6.883

The distance cannot be negative. So, the electric field at x = 1.55 m is said to be zero.

Thus, the required value of x is 1.55 m.

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