a proton follows the path shown in (figure 1). its initial speed is v0 = 2.6×106 m/s.

Answers

Answer 1

The speed of the proton at point P is determined as 2.67 x 10⁶ m/s.

The speed of the proton at point P is determined by applying the principle of conservation of energy as shown below.

Total energy of the proton at the initial position = total energy of the proton at the final position

Ui + K.Ei = Uf + K.Ef

where;

U is potential energy

K.E is the kinetic energy

= kq₁q₂/r₁  +  ¹/₂mv₁² = kq₁q₂/r₂  +  ¹/₂mv₂²

= kq₁q₂/r₁  +  ¹/₂mv₁² - kq₁q₂/r₂ = ¹/₂mv₂²

= kq₁q₂(1/r₁  - 1/r₂)  + ¹/₂mv₁² = ¹/₂mv₂²

= ¹/₂mv₂²  = kq₁q₂ (1/r₁  - 1/r₂)  + ¹/₂mv₁²

= v₂² = 2/m [kq₁q₂ (1/r₁  - 1/r₂)  + ¹/₂mv₁² ]

where;

m is mass of the proton

k is coulomb's constant

q₁ is the magnitude of the charge

q₂ is charge of proton

r₁ is the initial position of the proton

r₂ is the final position of the proton = 5 mm (from Pythagoras theorem)

= v₂² = 2/(1.67 x 10⁻²⁷) [9 x 10⁹ x 10 x 10⁻⁹ x 1.6 x 10⁻¹⁹ (1/0.003  - 1/0.005)  + ¹/₂(1.67 x 10⁻²⁷)(2.2 x 10⁶)² ]

= v₂² = 7.14 x 10¹²

= v₂ = √ (1.44 x 10²³)

= v₂ = 2.67 x 10⁶ m/s

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The complete question is below:

a proton follows the path shown in (figure 1). its initial speed is v0 = 2.2×106 m/s. find the speed of the proton at point P?


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Answer:

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The complete answer is attached as an image.

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the plate area of a parallel-plate capacitor of capacitance c is doubled and the distance between the plates is halved, so that the volume of the dielectric remains the same. the new capacitance of the capacitor is

Answers

The new capacitance of the capacitor is Cf = 4Ci is the correct answer.

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Using the Capacitance theorem

Given:

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Distance = 1/2d

Volume of the dielectric remains the same.

New Capacitance =?

1.  Initial Capacitance can be written as:

Ci = A ∈0 / d

2.  After putting the desired values of area and distance.

Cf = 2A ∈0 / (d/2)

Cf = 4A ∈0 / d

Cf = 4Ci

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What is the line segment formula?

Answers

Formula of

Line segment

is AB =

[tex]\sqrt{(x_{2} -x_{1} )^{2} } +\sqrt{(y_{2} -y_{1} )^{2} }[/tex]

                                                                             

Line segment

is a part of line with definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as

Line segment

.

            A ______________________ B    

        (x₁,y₁)                                             (x₂,y₂)      

This line segment can be represented as [tex]\frac{}{AB} /\frac{}{BA}[/tex]. In other word we can say line segment is

subset

of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by

ruler

. A bar (-) is always on top of its notation {[tex]\frac{}{AB}[/tex]}.

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Formula of Line segment is AB =  [tex]\sqrt{(x_{2}-x_{1})^{2} } +\sqrt{(y_{2}-y_{1})^{2} }[/tex]

                                       

Line segment

is a part of line with a definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as

Line segment

        A ______________________ B    

       (x₁,y₁)                                             (x₂,y₂)      

This line segment can be represented as[tex]\overline{AB}/\overline{BA}[/tex] . In other word we can say line segment is subset of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by ruler A bar (-) is always on top of its notation {[tex]\overline{AB}/\overline{BA}[/tex]}.

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the equivalent capacitance is a. 9 μf b. 6 μf c. 3 μf d. 2 μf e. 1 μf

Answers

The equivalent capacitance is  21 μF.

In electrical engineering, equivalent capacitance often abbreviated as C eq—is a measurement of the total combined electric charge held in two or more capacitors connected in series or parallel. A capacitor is an electrical device that stores electrical energy into the electric field. Typically, a capacitor has two electrical leads that are separated by a dielectric or other insulating substance.

We are given that,

capacitance =c₁ =9  μF

capacitance = c₂ =6  μF

capacitance = c₃ = 3  μF

capacitance = c₄ =2  μF

capacitance = c₅ = 1  μF

Thus If the capacitor is connected in parallel the equivalent capacitance, cₐ can be calculated by the equation,

cₐ= c₁+c₂+c₃+c₄+c₅

cₐ = 9 +6 +3 +2+1 μF

cₐ = 21 μF

Therefore , The equivalent capacitance would be  21 μF.

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in the double-slit experiment with electrons, suppose that the observer uses a detector to determine through which slit the electron actually passes. does this affect the outcome of the experiment, and why or why not?

Answers

No matter the detector, the pattern on the screen is still non-interference.

In the double-slit experiment, how does the detector operate?

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How do you find the gravitational force between two objects with the same mass?

Answers

The formulation for gravitational force does have the variables F, G, m1, m2, and r2.

The product of something like the gravitational constant as well as the masses of both the two items, divided with the square of such distance separating the two objects, would be the equation for the gravitational force among two things.

The formula is given as:

Force = (Multiplication of g, m  ) / square of distance among both the objects.

= F = (G × M × m (mass)) / r²

where,

Force = F

Gravitational Constant = G

Mass of one object = M

Mass of another object = m

Distance = r

Since all of the items in this situation share the same mass, the gravitational force equation is,

F = (G X M X m(mass)) / r² (distance)

Gravitational force was the force utilized by the earth to pull an item toward it. Issacs Newton made the discovery after seeing an apple fall from either the tree.

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A ball of mass M is on a horizontal surface with negligible friction. One end of a string is attached to the ball so that it is spun in a horizontal circle of radius R at a tangential speed vo, as shown in Figure 1. A free-body diagram for the ball at an instant in time is shown in Figure 2. The magnitude of the tension force is also indicated in Figure 2. Which of the following equations represents the centripetal acceleration of the ball if its tangential speed is increased to 2vo ?

Answers

The centripetal acceleration of the ball if its tangential speed is increased to 2 v₀ is (4 M v₀²)/R.

The centripetal force equation that we are aware of is

F = (m* v²)/r ----(1)

where,

m is the of the ball

v is the velocity

r is the radius

We are aware that F = m* a ----(2)

Equating (1) and (2), we have,

m* a = (m* v²)/r

a = v²/r -----(3)

where, a is centripetal acceleration

In this problem, it is said that, the tangential speed is increased to 2 v₀, then the centripetal acceleration

So, v = 2 v₀, r = R

Substituting the values in (3), we have,

ac = (2 v₀)²/R = 4 v₀²/R

Thus, the required centripetal acceleration is 4 v₀²/R.

The question is incomplete. The complete question has the missing figures that are attached in the attachment below.

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Coach Carver has created a new team game for his students to play. It involves sprinting, tagging, and throwing a ball. Each team consists of 30 to 40 students. Which place is the safest to play the game?
a. an outdoor basketball court
b. a gymnasium
c. an empty classroom
d. a football field

Answers

The safest plays to play sprinting, tagging, and throwing the ball is d) a football field

A football/soccer field is a rectangular field surrounded by lines called perimeters. The two long lines are the touch lines and the two short lines are the goal lines. It is divided in half by the midline connecting the midpoints of the two contact lines. The field is 100 yards long, with 10-yard end zones for each team. The field has stripes across the width of the field at 5-yard intervals. The soccer field is 160 feet wide. The games that can be played on the football field are sprinting, throwing the ball, tagging, etc.

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Collaborative problem solving involves all of the following except a) a chorus where different individuals sing different notes of a song to create harmony. b) the jigsaw problem where different members of a group contribute to the solution Oc) a consensus-building task where different points of views must be considered d) negotiation tasks where the best possible solution depends upon consideration of different perspectives.

Answers

Yes, option a—a chorus where different people sing different notes of a song to generate harmony—is the right response.

The definition of the term "collaborate" according to Webster's Dictionary is "to work jointly or together, especially in an intellectual pursuit." Therefore, collaborative problem solving (CPS) is basically a cooperative effort to solve difficulties. There are four components to the Xandar task in the CPS task harmonization that PISA has made available. The components of the task require the respondent to work together to create a method for solving problems, put the method into practice, arrive at a solution, and assess the answer. For instance, if parents in a custody battle appear to back and forth on childcare arrangements, it may be a sign that one parent has concerns about

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How do you solve a system of equations in Mathematica?

Answers

We first perform an algebraic solution to the equation before using N to obtain a numerical solution. Alternately, we might use NSolve to begin by numerically solving the equation.

What method of equation solving is the simplest?

Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. To answer a problem by graphing, just plot the given equations on a graph and identify the point(s) where they all intersect.

System of differential equations can Wolfram solve?

The differential equation solving functions of the Wolfram Language can be used to solve a wide variety of differential equation classes, automatically choosing the best techniques without user preprocessing.

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a man seeking to set a world record wants to tow a 118,000-kg airplane along a runway by pulling horizontally on a cable attached to the airplane. the mass of the man is 93 kg, and the coefficient of static friction between his shoes and the runway is 0.79. what is the greatest acceleration the man can give the airplane? assume that the airplane is on wheels that turn without any frictional resistance.

Answers

The greatest acceleration the man can give the airplane is 6.102*10^-3 m/s^2

What is a frictional force ?

The force produced when two surfaces slide past one another and make contact is known as frictional force. The surface texture of these forces and the amount of force pressing them together have the biggest impact.

Mass of the person

m1 = 93kg

Mass of the air plane

m2 = 118000 kg

Coefficient of static friction between the shoes of the person and floor

μs=0.79

Acceleration due to gravity

g=9.8m/s^2

The maximum force the person can apply on the floor is equal to his weight

F = w = m1∗g

         = 93∗9.8=911.4 N

The maximum frictional force he can get from the floor is the product of coefficient of static friction and normal reaction

Ff = μs∗N

   = μs∗W

   = 0.79 ∗ 911.4 = 720 N

Let's assume that the individual is able to use or apply the entire frictional force in pushing the airplane.

Following that, the relationship can be used to determine the acceleration an air plane created.

Ff = m2 * a

a = Ff/m2

  = 720/118000

  = 6.102*10^-3 m/s^2

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a 3 * 10 to the power -3 kg copper penny drops a distance of 50 m to the ground. if 65 percent of the initial potentia energy goes into increasing the internal energy of the penny, determine the megnitude of that increase.

can some genius explain this to me please?

Answers

Explanation:

The magnitude of the increase is 0.9555J

Explanation

Potential Energy (PE) = mgh mass(m) = 3 * 10 ^ - 3 * kg

, acceleration due to gravity (g) = 9.8m / (s ^ 2) distance(h) = 50m PE = 3 * 10 ^ - 3 * 9.8 * 50 = 1.47J Increase in internal energy = 65% of 1.47J = 0.65 × 1.47J

= 0.9555J

Problem 5: Consider the circuit diagram depicted in the figure 0.5 Ω R2 2.5 Ω /2 R 1.5Ω 0.5 Ω 50% Part (a) what equation do you get when you apply the loop rule to the loop abcdergha, in terms of the variables in the figure? Grade= 100% Correct Answer Student Final Submission Feedback Correct! 012 R2+ 112 T3 R3 +32-62 0- 1-(Ti +R2) I2+(R3r2)13 2 Grade Summary Deduction for Final Submissi Deductions for Incorrect Submissions, Hints and Feedback [?] Student Grade-100-0-0-100% 0% 0% on Submission History All Date times are displayed in Central Standard Time Red submission date times indicate late work. Date Time 9:25 PM Answer Hints Feedback 1 Oct 29,2018 0- 1-(Ti +R2) I2+(R3r2)13 2 50% Part (b) If the current through the top branch is 12-0.505 A, what is the current through the bottom, 13, in amps?

Answers

Part(a) The equation for the loop is 0 −1−(R1 +R2)I2+(R3+R2)I3=0

Part(b) The current through the bottom branch 13 is 0.75 A.

(a) This equation is found by applying the loop rule, which states that the sum of voltage drops around a loop is equal to zero. To find the equation, we start at the point, and move clockwise around the loop. At each point, we add the voltage drop of the component connected between that point and the previous point. We then substitute the component values into the equation.

For example, the voltage drop across R1 is equal to I2 * R1. In this equation, I2 and I3 are the currents through R2 and R3 respectively.

(b) To calculate this, we need to use Ohm's Law, which states that the voltage across a resistor is equal to the current through the resistor multiplied by the resistance.

First, we need to calculate the total resistance of the circuit.

       R total = R_1 + (1/2)*R_2 + R_3

                    = 0.5 + (1/2)*2.5 + 0.5

                    = 2.5 Ω

Now, we can use Ohm's Law to calculate the current through the bottom branch.

             I 13 = V/R

                     = (12-0.5)/2.5

                     = 0.75 A

Therefore, the current through the bottom branch 13 is 0.75 A.

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Where should you place the weight in the boat?

Answers

Making ensuring the weight is positioned above the boat's center of mass is important while loading them onto the boat.

The center of mass is a location within or outside of someone where we believe the entirety of the body's mass to be concentrated. We are aware that a boat will suffer an upward force equivalent to the mass of the fluid it is dislodging while it is hovering over it.

The likelihood of the boat being unbalanced is significantly decreased when the passengers or weight are positioned close to the center of mass of the boat.

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What does MgBr2 mean?

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The chemical formula of Magnesium Bromine MgBr₂.

Magnesium bromide is a chemical compound which is formed by the combination of magnesium and bromine.

The chemical formula of Magnesium Bromine MgBr₂.

The colour of Magnesium Bromine is white and it is a very deliquescent crystalline type solid in nature.

It can be sometimes used as a mild sedative and also we can use is as an anticonvulsant which is commonly used in the treatment of nervous disorders.

It can be easily soluble in water and sometimes it can also be easily dissolved in alcohol.

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What is the equation that shows the inverse relationship between wavelength and frequency?

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Answer:

V = f * λ           velocity equals frequency * wavelength

If f is increased then λ must decrease for the velocity to remain constant.

What is a 3 wavelength lamp?

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A 3 wavelength lamp is a type of light therapy device used to improve skin health and appearance.

What is wavelentgh?

Wavelength is the distance between two successive peaks or troughs of a wave, such as light, sound, or other forms of energy. It is measured in meters or nanometers and is related to the frequency of the wave, as the frequency is inversely proportional to the wavelength. Wavelength can also be used to describe the physical size of an object, such as a particle or cell.

It emits both visible and invisible light in three different wavelengths, namely red, blue and near-infrared. The red wavelength helps to reduce inflammation and improve circulation, while the blue wavelength helps to kill acne-causing bacteria. The near-infrared wavelength helps to boost collagen and elastin production, which can help to improve skin texture and firmness. This type of light therapy is effective in treating a number of skin conditions and has been used in clinics and spas for many years.
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What is the i in the Ohm's law?

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The i in Ohm’s Law is current.

When you are playing pool and a moving ball hits a stationary ball and the moving ball stops what happens to the momentum of the moving ball?

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When a moving pool ball hits a stationary ball, some kinetic energy from the moving pool ball is transferred to the stationary ball and it attains momentum.

Both in the case of elastic and inelastic collisions, momentum is preserved. That means the total momentum will always be the same.

Momentum (ρ) is defined as "mass in motion". There are two factors affecting the momentum. Mass(m) and velocity(v).

                       ρ = m×v

So for a stationary object momentum will be 0. When the moving ball hits the stationary ball, it starts moving, because it gets kinetic energy from the moving ball. The total momentum before and after the collision will always be equal.

               mₐ₁× vₐ₁ = mₐ₂×vₐ₂ + m₂ v₂

                 

                     mₐ₁× vₐ₁ is the momentum of ball A before the collision

                     mₐ₂×vₐ₂ is the momentum of ball A after collision

                     m₂ v₂    is the momentum of ball B after  collision.

So the stationary ball begins to move after the collision due to increased kinetic energy and attains some momentum. The total momentum of the system remains the same.

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