three 3.0 -μc point charges are at the three corners of a square of side 0.50 m. the last corner is occupied by a −3.0 -μc charge. find the magnitude of the electric field at the center of the square.

The standard drink measurement should contain 14 grams of pure alcohol in United States of America.

The standard drink measurement should contain 14 grams of pure alcohol in United States of America.

The standard drink measurement has a wide range of use in today's life because with the help of this an alcohol can be balanced in a consistent way.

So we can also conclude the standard drink measurement should contain 14 grams of pure alcohol in United States of America.

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The standard drink measurement should contain 14 grams of pure alcohol in United States of America.

The standard drink measurement should contain 14 grams of pure alcohol in United States of America. The standard drink measurement has a wide range of use in today's life because with the help of this an alcohol can be balanced in a consistent way. In the United States, one "standard" drink contains about 14 grams of pure alcohol which is usually about 5% alcohol. We know that 5 ounces of wine, has about 12% alcohol, 1.5 ounces of distilled spirits which is 40% alcohol.

So we can also conclude the standard drink measurement should contain 14 grams of pure alcohol in United States of America.

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Answer: the air exerts a force on the rudders, and the rudders will exert a force of equal magnitude and opposite direction on the boat causing the boat to start accelerating

Explanation:

The number of grams of carbon that combine with 16 g of oxygen in the formation of CO₂ is 6g.

When two elements combine to make more than one compound, the masses of one element combined with a fixed amount of another element are in the ratio of whole numbers, according to the law of multiple proportions.

When combined with oxygen, carbon can produce two different compounds. They are referred to as carbon dioxide (CO₂) and carbon monoxide (CO).

Carbon monoxide is formed by combining 12 g of carbon with 16 g of oxygen whereas Carbon dioxide is formed when 12 g of carbon reacts with 32 g of oxygen. The amount of carbon is fixed at 12 g in each case. The mass ratio of carbon monoxide to carbon dioxide is 16: 32, or 1: 2.

But in the given case, 16g of oxygen is reacting instead of 32g. Therefore, the number of grams of carbon reacting will be:

[tex]\frac{12}{2}=6g[/tex]

Thus, 6g of carbon will react with 16g of oxygen to form carbon dioxide.

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the wavelength of the standing wave in the string of third harmonic is 0.24 meters.

We need to know about the third harmonic wavelength to solve this problem. When the string is vibrating at its third harmonic, it should follow the rule

λ = 2/3 L

where λ is wavelength and L is the length of string

From the question above, we know that

f = 500 Hz

L = 0.36 m

m = 4 g

By substituting to the following equation, we can calculate the wavelength

λ = 2/3 . L

λ = 2/3 . 0.36

λ = 0.24 m

Hence, the wavelength at its third harmonic is 0.24 meters.

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Answer:

Distance

Explanation:

The approximate magnitude of the gravitational force between Ganymede and Jupiter is 16.35 x 10^21 N.

According to Newton’s Law of Gravitation, the gravitational force between two bodies is directly proportional to the masses of the two objects and is inversely proportional to the square of the distance between them.

The above statement can be represented by the following equation:

F = Gx (m1)x (m2)/r^2

Here G = Universal Gravitational Constant = 6.67 x 10^-11 N m^2/kg^2

m1 and m2 are the masses of two bodies

r is the distance between the bodies

Putting m1= Mass of Jupiter= 1.89 x 10^27 kg

m2 =Mass of Ganymede 1.48 x 10^23 kg

r = Distance between Jupiter and Ganymede = 1.07 x 10^9 meters

F = 6.67 x 10^-11 x 1.89 x 10^27 x 1.48 x 10^23/(1.07 x 10^9)^2

On solving the above equation F comes out to be 16.35 x 10^21 N.

Thus, the approximate magnitude of the gravitational force between Ganymede and Jupiter is 16.35 x 10^21 N.

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An interior designer is choosing a paint color for a room and has two samples that are both blue, however one blue is described as brighter than the other. Both would have the same wavelength but would differ due to the amplitude property of light.

The amplitude plays an important part in differentiating the same colors of the same wavelength. It tells us about the brightness or intensity of a certain light wave as compared to others of the same wavelength. So, whenever two same colors look different due to brightness, it is due to the amplitude property of the light.

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The given device is a power recipient, since the value of power calculated using Ohm's law is positive.

We know that,

P = V I

where,

P = Power

V = Voltage

I = Current

Given that,

V = 10 V

I = 1 A ( Since it is flowing from +ve to -ve )

P = 10 * 1

P = 10 W

Since the power is positive, the device is a power recipient.

Ohm's law states that the voltage difference between two points in a conductor is directly proportional to the current flowing from one point to another.

Therefore, the device is a power recipient

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The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maximum height. The initial angle of the projectile is 67.8°.

The motion from zero to maximum height is :

Vyi = √2gh

Now the motion from zero to half of the maximum height is :

Vyh = √gh

At maximum height, the speed is Vx = √Vx^2+Vyh^2/2

Vx =√Vx^2+gh/2

by simplifying,

Vx = √gh/3

To find the angle of projection

∅ = tan^-1(Vyi/Vx) = √2gh/√gh/3

∅ = 67.8°

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The free body diagram is the diagram that shows us the way that forces act on an object.

The free body diagram is the diagram that shows us the way that forces act on an object. We know that force is the reason for the motion of an object. An object moves when it is acted upon by unbalanced forces. If the forces that are acting on the object are balanced the object would not move,

You know that force is a vector, thus the magnitude and the direction of the force is very important when we are trying to describe the action of a system of forces that acts on a body.

For instance, a book could sit still on a table because the book is acted upon by two forces that are balanced these are the weight of the book and the reaction force of the table on the book. These balanced forces makes the book to sit still on the table.

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Answer:

Metal appears cool on touching because heat flows from body( at higher temperature) to iron( at lower temperature)

For reaching the same final velocity as the first attempt by applying a force that is twice as large as the first attempt the time interval should be kept shorter than the first attempt.

After the hockey puck has reached the final velocity and suddenly stops, the hockey puck reduces its speed abruptly.

These solutions can be explained by Newton's Second Law of Motion. According to Newton's Second Law of Motion, the force applied to a particle is directly proportional to the product of the mass and acceleration of that particle.

F = ma; where m is the mass of the particle and a is the acceleration.

Also, a = v/t; where v is the velocity of the particle and t is the time interval.

Therefore, the force applied is inversely proportional to the time interval.

F = mv/t

So, to maintain the same velocity keeping the force at double the time interval should be halved.

Therefore, for reaching the same final velocity as the first attempt by applying a force that is twice as large as the first attempt the time interval should be kept shorter than the first attempt.

Also, the Force applied to the particle is directly proportional to the velocity of the particle. So, if the force applied to the hockey puck is suddenly stopped its velocity will reduce abruptly.

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Complete Question:

You push a hockey puck that is initially at rest on slick ice by applying a constant force until the puck reaches a final velocity of 1 m/s. On the second attempt, you want the hockey puck to reach the same final velocity by applying a force that is twice as large.

1. Therefore, you must exert the force for a time interval that is

A. shorter than the time interval of your first attempt.

B. longer than the time interval of your first attempt.

C. the same as the time interval of your first attempt.

2. After the hockey puck has reached the final velocity, you suddenly stop pushing it. The hockey puck:

A. stops abruptly

B. reduces speed gradually

C. continues at constant velocity

D. increases speed gradually

E. reduces speed abruptly

The mass of the object remains the same but the weight decreases as the object move upward.

Because mass is the amount of matter in an item and does not change with gravity, mass remains constant. If the amount of matter didn't change, it would stay the same. We can observe that this innate quality, mass, never changes and remains the same wherever we place it in the universe.

According to a new high-resolution map, a person can weigh differently depending on where they are on Earth due to changes in the planet's gravity. Many people believe that gravity is constant over the entire planet, however, scientists have shown that gravity varies because the planet is not perfectly spherical or uniformly dense.

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In a lab, while performing the experiment, one question that I will ask will be - How potential energy can be converted into thermal energy? The answer for tat will be by seeing and understanding the sample response in the experiment.

Potential energy is released from them when they are divided. A particle's potential energy increases with distance. As they gain speed, their kinetic energy increases. The thermal energy of an object is the sum of the kinetic and potential energies of all the particles.

Energy from heat transfer as potential and kinetic energy

This occurs as a result of the attractive forces they generate for one another. Additionally, the particles are forced apart by a rise in body temperature. As a result, as their potential energy rises, so do the forces of attraction between them.

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Yes, I will be gravitationally attracted to the person who has twice as much weight sitting next to me. The gravitational attraction would be equal.

Gravitational pull is the force that everybody on Earth experiences. This force tends to pull a person to the center of the Earth.

The force of gravity is dependent on the masses that each object has. In the case above, the gravitational attraction between you and the person next to you with twice as much weight will be the same because the gravitational pull will be dependent on the product of the two masses of you and the other person. Hence, you are being attracted to that person with the same gravitational force with which he is being attracted to you.

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200N force is needed to stop a 100-kg football player if she negatively accelerates (decelerates) at 20 m/s2

we have given in the statement

mass=100kg

acc= -20m/s^2

F=?

from newton's formula, we will find force

F=ma

F=100kg×20m/s^2

F=200N

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The car that travels to the proper with a speed of 42 m/s, skids 84 meters for 4 seconds before it involves a stop.

Solving :

The distance traveled by car before coming to a stop can be calculated with the following equation:

                        [tex]v^{2} f_{} =v^{2} i_{} + 2ad[/tex]

Where:

[tex]v_{f}[/tex]: is that the final speed = 0 (it stops)

[tex]v_{i}[/tex]: is that the initial speed = 42 m/s

a: is that the acceleration

d: is that the distance =?

We need to find the acceleration. we will use the next equation:

                       [tex]v_{f} = v_{i} +at[/tex]  ...........2

Where:

t: is that the time = 4.0 s

Hence, the acceleration is:

                  a = [tex]\frac{v_{f} -v_{i} }{t}[/tex]

                 a = [tex]\frac{0-42m/s}{4.0s}[/tex]

                 a = - 10.5 m/s²

Now, the car skid the subsequent meters before coming to a stop (eq 1).

                             d = [tex]\frac{v^{2}_{f} - v^{2} _{f} }{2a}[/tex]

                           d = 84 m

Therefore, the car skids 84 meters before coming to a stop.

Constant acceleration :

Constant acceleration refers to motion where the speed increases by the identical amount each second. the foremost notable and important example is free fall. When an object is thrown or dropped, it experiences a continuing acceleration due to gravity, which features a constant value of approximately 10 meters per second squared

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The mass of the Other planet is 2.81 x 10²⁶ m for the given parameters.

In astronomy, the term "planetary mass" refers to the measurement of an object's mass that resembles a planet. The mass of the Sun, solar mass (M), is used as the unit of mass in the astronomical system of units, which is frequently used to estimate the sizes of planets in the Solar System.

Given,

The radius of the other planet is 7.40 x 10(7) meters.

String mass is M=0.028kg.

The string's length is L=4m.

Time (Tp) = 0.0605 seconds on other planets.

Te is the same as 0.0320 seconds.

Locating lead on Earth should be the first step.

This is the equation for linear mass density:

μ = M/L = 0.028/4 = 0.007 Kg/m

In this case, the wave's speed is given by the equation Ve = L/t = 4/0.032 = 125 m/s.

The formula produces the tension of the spring (Fe);

Fe = (Ve)2 = 0.007 x 125 = 0.87 N

The findings of applying Newton's second rule of motion to this earth lead are as follows:

0 if Fy = Fe-Wl.

Fe - W(l) = 0, which leads to Fe = W. (l)

We know that Weight(W) = Mg.

Me = M(l)g, so Fe.

Where M(l) is the mass of the lead, and g is the acceleration brought on by gravity on earth, which is 9.81.

As a consequence, M(l) = Fe/g = 0.875/9.81 = 0.089kg.

Use the same method to calculate the lead on the second planet;

The linear density of a material is a property that doesn't change:

μ = 0.007 Kg/m

In this case, the wave's velocity is given by the equation Vp = L/t = 4/0.0605 = 66.11 m/s.

The formula produces the tension of the spring (Fp);

Fp = (Vp)2, which equals 30.59 N or 0.007 x 66.112 N.

The findings of applying Newton's second rule of motion to this earth lead are as follows:

Fy = Fp – Wl = 0

As a consequence, Fe - W(l) = 0 and Fp = W. (l)

We know that weight(W) equals mass (Mg) (p)

Consequently, Fp = M(l)g (p)

where M(l) is the mass of the lead and g(p) is the acceleration brought on by the gravity of the other planet.

As a consequence, gp = Fp/M(l) = 30.59/0.089 = 343.70 m/s2.

The planet's acceleration may be calculated using the gravity equation using the formula g = (GM)/r2.

As M is the subject, we have;

(gr²)/G = M

Gravitational constant G has a value of 6.6742 x 10(-11) Nm2/kg2.

M is the planet mass.

the planet's radius r

Thus;

M = [343.70 x (7.4 x 10^(7))²] / 6.6742 x 10^(-11)

Mass = 2.81 x 10^(26)m

You are exploring a newly discovered planet. The radius of the planet is 7.20 × 107 m. You suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. You measure that it takes 0.0685 s for a transverse pulse to travel from the lower end to the upper end of the string. On earth, for the same string and lead weight, it takes 0.0370 s for a transverse pulse to travel the length of the string. The weight of the string is small enough that its effect on the tension in the string can be neglected.

Part A

Assuming that the mass of the planet is distributed with spherical symmetry, what is its mass?

Express your answer with the appropriate units.

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Acceleration-∘ north of east. a second fence post is due south from you. a fence post is 51.0 m from where you are standing, in a direction 35.0 ∘

Acceleration is the wrathful, flaming dragon of motion variables as compared to displacement and velocity. If it's big, it makes you pay attention because it might be violent, some people are afraid of it, and it can be violent. You can feel yourself accelerating while you're in a moving vehicle, such as a go kart, slamming on the brakes, or when you're seated in a moving vehicle, such as a plane, during takeoff.

Anything that causes a change in velocity is referred to as an acceleration. You can only accelerate in one of two ways—either by changing your speed or your direction, or both—since velocity is a function of both speed and direction.

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Answer:

.......

Explanation:

According to uniform motion, the initial projection angle is 73.89⁰.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From question above, we know that

vpeak = 1/2 vt

2vpeak = vt

when projectile at maximum height should equal

vpeak = vx = vo.cosθ

When the projectile reaches a half its maximum height, the time taken is

t = 1/2 tpeak

t = 1/2 (vo sinθ/g)

t = vo sinθ/2g

Find the speed at its half maximum height.

vty = voy + a . t

vty = vo.sinθ - g.vo sinθ/2g

vty = vo sinθ/2

vtx = vo cosθ

vt = √vty² + vtx²

2vpeak = √(vo sinθ/2)² + (vo cosθ)²

2 . cosθ = √(sinθ/2)² + (cosθ)²

4cos²θ = 1/4 . sin²θ + cos²θ

3cos²θ = 1/4 . sin²θ

sin²θ / cos²θ = 12

tan²θ = 12

tanθ = √12

θ = 73.89⁰

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The velocity of particle when x = -2m is 4.7 m/s.

Acceleration of a particle, a = k ( 1 - [tex]e^{-x}[/tex])

Velocity of the particle, v = +9 when x = -3m

Velocity of the particle, v = 0 when x = 0

We konw that acceleration is:

[tex]a = \frac{dv}{dt}[/tex]

[tex]a= \frac{dx}{dt}.\frac{dv}{dx}[/tex]

[tex]a=v[\frac{dv}{dx}][/tex]

Now,

v dv = a dv .........(i)

Putting a =  k ( 1 - [tex]e^{-x}[/tex]) in (i), we get,

[tex]\frac{vdv}{dx}=k (1-e^{-x} )[/tex]

[tex]\int\limits^9_0 {v} \, dv = k\int\limits^3 _0 {(1-e^{-x}) } \, dx[/tex]

[tex]\frac{81}{2} = k(-3 + e^{3}-e^{0} )[/tex]

[tex]\frac{81}{2}=k(-9 + e^{3})[/tex]

[tex]\frac{81}{2}= k[/tex] × [tex]16.0855[/tex]

[tex]k = 2.52[/tex]

Again,

[tex]\int\limits^v_0 {v} \, dx=k\int\limits^2_0 {(1-e^{-x)} } \, dx[/tex]

[tex]\frac{v^{2} }{2}= 2.52 [ (-2 +e^{2}-(0+e^{0})[/tex]

[tex]v= 4.70 m/s[/tex]

Therefore, the velocity of particle when x = -2m is 4.7 m/s.

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The acceleration of a particle is defined by the relation a= k (1 - [tex]e^{-x}[/tex]), where k is a constant. The velocity of the particle v =+9 m/s when x = -3m and it comes to rest at the origin. Obtaining velocity from a position-dependent acceleration by integration. Also, determine the velocity of the particle when x = -2 m.

Answer: mixture

Explanation:

Answer:

soil is a mixture of minerals, dead and living organisms (organic materials), air, and water. These four ingredients react with one another in amazing ways, making soil one of our planet’s most dynamic and important natural resources.

Another definition of soil

The surface mineral and/or organic layer of the earth that has experienced some degree of physical, biological and chemical weathering.

In summary, soil is a mixture....

As the universe expands the temperature decreases and the wavelengths of photons increases.

As the universe expands, the distance between crests of the wave of light also expand, causing the wavelength to increase.

Light with a longer wavelength is redder, so light appears redshifted because of the expansion of the universe.

Also, the universe expands as a result of decrease in the temperature of surrounding air molecules according to Hubble.

Thus, we can conclude that,  as the universe expands the temperature decreases and the wavelengths of photons increases.

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The ejected electrons would have greater kinetic energy if the wavelength of light is decreased when Photons are shone on a piece of metal and one electron is ejected for each absorbed photon.

This is referred to as the type of energy which is possessed by a body by virtue of its motion and it has an inverse relationship with the  wavelength of light.

This therefore means that as the wavelength of light is decreased, the kinetic energy of the ejected electrons will increase and vice versa which is therefore the reason why it was chosen as the most appropriate choice.

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The acceleration of the car is 2.45 m/s².

Acceleration is the rate of change of the velocity of an object with respect to time. Its unit is m/s² and can be given as,

a = dv/dt

Where , dv and dt is the small change in velocity and time of an object.

Velocity of an object can be said as, the rate of change of displacement with respect to time of an object . Its unit is m/s and it is a vector quantity.

V = Δx/Δt

In here , V is velocity ,  Δx is change in displacement and Δt is change in time of an object.

We are know that ,

Initial velocity of the car = u = 15 m/s

Final velocity  of the car = v = 28 m/s

Covered time of the car = t = 5.8 s

Therefore we know the equation of motion can be given as,

v = u + at

Hence , to get the acceleration of the car we may put the values in above equation then,

28 m/s = 15 m/s + (5.3) a

a = (28 m/s - 15 m/s) /5.3s

a = 2.45 m/s²

Thus , acceleration of a car is 2.45  m/s²

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The pushing force does not make the brick move as there is not enough power being exerted.

The pushing force does not make the brick move as there is not enough power being exerted.

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