An electron is accelerated from rest through a potential difference of 2MV. Note: the mass of an electron is 9.11×10−31 kg and 1 eV=1.602×10−19 J.
(a) What is the kinetic energy (in eV and J) of the electron?
(b) What is the speed of the electron according to classical physics? Is it greater, equal, or less than c?
(c) What is the relativistic speed of the electron?

Answer:

D always downward because it is negative

The horizontal component of the velocity is equal to: D. 15 m/s.

Given the following data:

To determine the horizontal component of the velocity:

The horizontal component of the velocity represents the influence of velocity  in displacing an object or projectile in the horizontal direction.

Mathematically, the horizontal component of velocity is given by the formula:

\(V_x = Vcos(\theta)\)

Substituting the given parameters into the formula, we have;

\(\\\\V_x = 30cos(60)\\\\V_x = 30 \times 0.5\)

Horizontal component, Vx = 15 m/s

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(a) Leak before break is a concept of designing the system or structure to minimize the risk of sudden catastrophic failure due to cracks.

The concept is to create a design that allows the development of cracks, and before the crack gets to a critical size, the system or structure should be able to detect the crack or leak. There are three stages in a leak-before-break condition:

First stage - Crack initiation: In this stage, cracks start to develop, but there is no effect on the system or structure's performance.

Second stage - Slow Crack Growth: In this stage, the crack's growth is slow, and the crack's effects on the system or structure are minimal.

Third stage - Rapid Crack Propagation: In this stage, the crack grows rapidly, and it could cause a catastrophic failure of the system or structure.  

(b) Longitudinal stress, σl = (pi x di^2)/4tσl = (28.75 x 10^6 x (0.08^2))/4 x 0.01σl = 58000000 Pa Hoop stress, σH = (pi x di x p)/2tσH = (28.75 x 10^6 x 0.08)/2 x 0.01σH = 11500000 Pa

(c) Critical crack size can be calculated as; ac = ((KIc^2 x Y)/(σpi))^(1/2)ac = ((23^2 x 0.7)/(28.75 x 10^6 x pi))^(1/2)ac = 1.6 x 10^-3 m

The crack is stable since the size of the crack is less than the critical crack size.

(d) Yes, the condition corresponds to a 'leak before break since the hemispherical crack's growth is slow, and the cylinder could detect it and initiate repairs before the cylinder fails catastrophically.

(e) No, the design will not be 'leak before break since the cheaper aluminum alloy's critical crack size is smaller than the crack's size. Therefore the cylinder will fail catastrophically.

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In parallel circuits, when all resistors are of equal value, the total resistance is equal to the value of one individual resistor  C. divided by the number of resistors.

The electrical circuits come in two primary forms - series and parallel. A parallel circuit is defined as a circuit in which the resistors are arranged in a way that they have the same potential difference or voltage across them. This implies that every component of the circuit gets the same amount of voltage. The basic principle of a parallel circuit is that every resistor gets the same amount of voltage.

When the voltage of the circuit is calculated, each component of the circuit has the same voltage. The voltage rating of each component is identical in a parallel circuit. According to Ohm's law, the resistance in a parallel circuit is inversely proportional to the current. The more the number of resistors in the circuit, the smaller the resistance of the circuit.

This means that the total resistance of a parallel circuit is always less than the resistance of the smallest resistor in the circuit. Therefore, when all the resistors are of equal value, the total resistance is equal to the value of one individual resistor divided by the number of resistors. In other words, R(total) = R(1) / n, where n is the number of resistors. Therefore the correct option is C

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Answer:

the statement is false that massive stars have low absolute brightness.

Explanation:

The brightness of the luminous intensity depends on the distance between the star and the observer. The intensity is directly proportional to the square of the distance between the observer and the star.

Answer:

They are all composed of gases.

Explanation:

The inner planets are mainly composed of types of rock. The surface and interior is rocky but the atmosphere is composed of gases. The outer planets happen to be composed mainly of gas, or in other terms, elements. The two primary elements that make up these planets are hydrogen and helium. Because the inner planets are made up of primarily, they have given the nickname the "Terrestial Planets" and the outer planets are called "Gas Giants" because of their gas (elements) composed atmospheres and overall interiors.

Answer: A: they are composed of gas

Explanation:

Answer:

The maximum voltage that can be applied without damaging the resistor is 4.85 V

Explanation:

Electric Power in a Resistor

Given a resistor or resistance R connected to a circuit of voltage V carrying a current I. The relation between these three magnitudes is given by Ohm's Law:

V = R.I

The dissipated power P of a resistor can be calculated by the following equation, known as Joule's first law:

\(P = I^2.R\)

Solving the first equation for I:

\(\displaystyle I=\frac{V}{R}\)

Substituting in the second equation:

\(\displaystyle P=\frac{V^2}{R^2}.R\)

Simplifying:

\(\displaystyle P=\frac{V^2}{R}\)

Solving for V:

\(V=\sqrt{P.R}\)

The resistor has a resistance of R=47Ω and can hold a maximum power of P=0.5 W, thus the maximum voltage is:

\(V=\sqrt{0.5\cdot 47}\)

\(V=\sqrt{23.5}\)

V = 4.85 V

The maximum voltage that can be applied without damaging the resistor is 4.85 V

Answer:

-2 kg x m/s

Explanation:

-17 + 54 = 35 + x

x = -2

The time it takes for light to travel from the lightning to your eyes can be calculated using the speed of light, which is approximately 300,000 kilometers per second.

Since the lightning is 1.6 kilometers away, we can use the formula: time = distance / speed. Plugging in the values, we have: time = 1.6 km / 300,000 km/s. Simplifying the calculation gives us a time of approximately 0.0000053 seconds, or 5.3 microseconds. For sound, we need to use the speed of sound, which is around 343 meters per second. Since the lightning is 1.6 kilometers away, we convert it to meters by multiplying by 1000: distance = 1.6 km * 1000 m/km = 1600 meters. Now we can use the formula time = distance / speed: time = 1600 m / 343 m/s. Simplifying the calculation gives us a time of approximately 4.7 seconds. In conclusion, it takes about 5.3 microseconds for the light from the lightning to reach your eyes, and about 4.7 seconds for the sound to travel to your ears when the lightning is 1.6 kilometers away.

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Answer:

4 smaller disks

Explanation:

We are given;

Mass of smaller and larger disks = M

Radius of smaller disk = R

Radius of larger disk = 4R

Formula for moment of inertia about cylinder axis is:

I = ½MR²

Thus;

For small disk, I_small = ½MR²

For large disk, I_large = ½M(2R)² = 2MR²

We are told that moment of inertia of System A consists of two of the larger disks. Thus;

I_A = 2 × I_large = 2 × 2MR²

I_A = 4MR²

We are also told that System B consists of one of the larger disks and a number of the smaller disks. Thus;

I_B = I_large + n(I_small)

Where n is the number of smaller disks.

I_B = 2MR² + n(½MR²)

I_B = MR²(2 + n/2)

We are told that the moment of inertia for system A equals the moment of inertia for system B. Thus;

I_A = I_B

So;

4MR² = MR²(2 + n/2)

MR² will cancel out to give;

4 = 2 + n/2

Multiply through by 2 to give;

8 = 4 + n

n = 8 - 4

n = 4

Answer: 2.3*10^{-6} N

Explanation:

First, we convert 0.010nm to standard units, or \(1*10^{-11}\) meters. We also know that the charge of an electron is about \(1.60*10^{-19}C\) and the Coulomb constant is about \(8.99*10^{9} Nm^2/C^2\), then use the Coulomb's law \(F_e = \frac{kq_1q_2}{r^2}\) to solve for the electric force.

\(F_e = \frac{8.99*10^9 * (1.60*10^{-19})^2}{(1*10^{-11})^2}\)

Which should get you around \(2.3*10^{-6} N\)

The magnitude of the electric force between the two electrons is  2.307 × 10^-28 N.

The electric force is the force that exists between two charged objects or particles. It is a fundamental force of nature, along with gravity, the strong nuclear force, and the weak nuclear force.

Electric force arises from the interaction between electric charges. Like charges repel each other, while opposite charges attract each other. The magnitude of the electric force depends on the amount of charge on the objects or particles, as well as the distance between them. The electric force between two charges is inversely proportional to the square of the distance between them, meaning that the force becomes weaker as the charges move farther apart.

The electric force plays a crucial role in the behavior of atoms, molecules, and other matter at the atomic and molecular scale. It is responsible for the interactions between charged particles in electric fields, and it governs the behavior of charged particles in conductors, insulators, and semiconductors. The electric force also underlies many practical applications, including electronics, electric motors, and power generation and transmission.

Here in the Question,

The magnitude of the electric force between two electrons can be calculated using Coulomb's Law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them:

F = k * (q1 * q2) / r^2

where F is the force, k is Coulomb's constant (9 × 10^9 N·m^2/C^2), q1 and q2 are the charges of the two particles, and r is the distance between them.

In this case, we can assume that both electrons have the same charge, which is -1.6 × 10^-19 C (the charge of an electron in coulombs). Therefore, we have:

F = k * (-1.6 × 10^-19 C)^2 / (0.010 × 10^-9 m)^2

F = 2.307 × 10^-28 N

Therefore, the magnitude of the electric force between the two electrons is approximately 2.307 × 10^-28 N.

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water does form a hydrogen but oil on the other hand does not

The principle involved is the conservation of momentum, where the boat moves in the opposite direction to maintain total momentum zero.

The physics principle involved in the movement of the boat as the man jumps onto the jetty is the principle of conservation of momentum. According to this principle, the total momentum of an isolated system remains constant if no external forces act on it.

In this scenario, the boat and the man can be considered as an isolated system since there are no external forces acting on them. Initially, when the man is standing on the boat, the system is at rest, and the total momentum is zero.

When the man jumps off the boat and onto the jetty, he exerts a force on the boat in one direction. According to Newton's third law of motion, for every action, there is an equal and opposite reaction. As the man pushes off the boat, the boat experiences an equal and opposite force that propels it in the opposite direction.

Due to the conservation of momentum, the momentum gained by the boat in one direction is equal to the momentum lost by the man in the opposite direction. As a result, the boat moves away from the jetty, exhibiting a backward motion.

This principle can be mathematically expressed as:

Initial momentum of the system = Final momentum of the system

Since the initial momentum is zero, the final momentum of the system (including the man and the boat) must also be zero. The momentum gained by the boat ensures that the total momentum of the system remains conserved.

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The amount of force necessary to keep it submerged in water is F=0.258N.

The force required to hold a table tennis ball submerged in water is calculated using the formula:

\(F =\frac{ (\rho * V * g) }{ A}\)

Where F is the force, ρ is the water's density, V is the ball's volume, g is its gravitational acceleration, and A is its cross-sectional area.

The following formula is used to determine the ball's volume:

\(V = \frac{4}{3}*pi*r^3\)

where r is the ball's radius.

The radius of the ball is half its diameter, thus:

\(r = 3.8 cm^2\)

Therefore,

\(V = \frac{4}{3}*pi *(3.8 cm ^2)3\\V = 0.5222 cm3\)

The cross-sectional area of the ball is calculated using the formula:

\(A = \pi * r^2\\\\A = \pi* (\frac{3.8 cm }{ 2})^2\\A = 4.5257 cm^2\)

Substituting the values in the above formula,

\(F =\frac{ (0.084 g/cm^3 * 0.5222 cm^3 * 9.8 m/s^2) }{4.5257 cm^2}\\F = 0.258 N\)

Hence, the force needed to keep it submerged in water is 0.258N

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The acceleration of the object is equal to the net force exerted on it divide by its masses, or a = F m, in accordance with Newton's second rule of motion.

Whenever a forces is applied to a body, numerous other forces, such as gravitational force Field goal, frictional force Ff, and the normal force, also work to balance the imposed force. Therefore, FNet Equals Fa Plus Fg Plus Ff + FN is the formula for net force.

The effects (the total) of all push and pull forces that are really operating on a thing is known as the net force. An object will accelerates in the net force if the pushing and pulling forces acting on it are not equal (a net force acts).

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Answer:

1.A

2.C

3.B

4. i.dk about that one

Explanation:

1. It is true that Tracking your exercise can help you stick with an exercise routine.

2. Yes, it is best to do as many different kinds of exercise as possible.

3. Building muscle strength helps with all aspects of fitness

4. Yoga would be the best exercise to achieve this goal.

Exercise is any activity that utilizes the physical movements of the body that improves a people's health, endurance, and wellbeing while lowering their chance of contracting illnesses. It enables the person to keep their body weight in a healthy weight range.

The benefits of fitness fluctuate depending on the sort of dying a person experiences. Even if a muscle is stretched, excessive sitting can cause a number of illnesses, many of which are fatal. The individual should engage in mobility activities as well as exercising to improve their stamina.

Thus, exercise is very necessary for health.

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In order to draw the ray diagram, let's draw two rays: one parallel to the lens axis, which will pass through the focus of the lens, and one passing through the center of the lens.

Drawing the ray diagram of this question, we have:

In order to calculate the magnification, first let's calculate the image position:

The magnification is given by:

The amount of heat (H) produced is given by the joule’s law of heating as H= Vlt

Where,

Current, I = 5 A

Time, t = 30 s

Voltage, V = Current x Resistance = 5 x 20 = 100V

H= 100 x 5 x 30 = 1.5 x 10⁴ J.

Therefore, the amount of heat developed in the electric iron is 1.5 x 10⁴J.

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The standard volume of hydrogen peroxide used with permanent hair color is typically 20 volume (6%).

The standard volume of hydrogen peroxide used with permanent hair color is typically 20 volume (6%). It is important to note that different hair color brands or formulations may offer different volumes of hydrogen peroxide options, so it is always advisable to refer to the specific instructions and recommendations provided by the hair color manufacturer.

The percentage value, in this case, 6%, indicates the weight of hydrogen peroxide present in the formulation. In a 20 volume hydrogen peroxide solution, 6% of the total weight is hydrogen peroxide, while the remaining 94% consists of other components, such as water, stabilizers, and conditioners.

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If a baseball has a negative velocity and a negative acceleration, its speed is decreasing.

Velocity is a vector quantity that includes both magnitude (speed) and direction. In this case, the negative velocity indicates that the baseball is moving in the opposite direction of a chosen positive reference direction. Acceleration, on the other hand, represents the rate of change of velocity and also includes both magnitude and direction.

When the velocity and acceleration have the same sign (both negative in this case), it means that the baseball is slowing down. This is because the acceleration is acting in the opposite direction to the velocity, which results in a decrease in speed. Therefore, the speed of the baseball is decreasing.

Answer:

I think your answer would be D

Explanation:

Answer:4

Explanation:

Answer:

approximately 90.19%

Explanation:

To calculate the percentage of change in voltage values relative to the initial value, we can use the polar form of complex numbers and the formula for percentage change.

Given complex numbers in polar form:

V1 = 15 ˪70

V2 = 2 ˪30

To calculate the percentage change, we'll compare the magnitude (amplitude) of the complex numbers.

Magnitude of V1 = 15

Magnitude of V2 = 2

Percentage change = (|V2 - V1| / |V1|) * 100%

|V2 - V1| = |2 ˪30 - 15 ˪70|

To subtract complex numbers in polar form, we subtract their magnitudes and subtract their angles:

|V2 - V1| = √((2^2 + 15^2) - 2 * 2 * 15 * cos(30 - 70))

Calculating the magnitude:

|V2 - V1| = √((4 + 225) - 60 * cos(-40))

|V2 - V1| = √(229 - 60 * cos(-40))

Now, we can substitute the values into the percentage change formula:

Percentage change = (|V2 - V1| / |V1|) * 100%

Percentage change = (√(229 - 60 * cos(-40)) / 15) * 100%

Calculating this expression will give us the percentage change in voltage values relative to the initial value.

There is a decrease of approximately 86.67% in the voltage values relative to the initial value.

The polar form of a complex number is given by r∠θ, where r represents the magnitude or modulus of the complex number, and θ represents the angle in radians. The exponential form of a complex number is given by re^(iθ), where r is the magnitude and θ is the angle in radians.

For V1 = 15∠70°, we can calculate the magnitude and angle using the polar form. The magnitude is 15, and the angle is 70°. For V2 = 2∠30°, the magnitude is 2, and the angle is 30°.

To calculate the percentage of change relative to the initial value (V1), we can use the formula:

Percentage change = [(V2 - V1) / V1] * 100.

Substituting the values, we get:

Percentage change = [(2 - 15) / 15] * 100 = -86.67%.

Therefore, there is a decrease of approximately 86.67% in the voltage values relative to the initial value.

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Answer:

a) F = (137.4 i ^ + 185 j ^) N

b)    F = 230.2 N  ,  θ = 53.5º

Explanation:

In this exercise we ask to find the net force, for which we will define a coordinate system fix the donkey and use trigonometry to decompose the forces

Jack       F₁ₓ = 63.9 N

Jill          F₂ = 79.1 N with direction 45º to the left

              cos (180 -45) = F₂ₓ / F₂

              sin 135 = \(F_{2y}\) / F₂

              F₂ₓ = F₂ cos 135

              F_{2y} = F₂ sin 135

              F₂ₓ = 79.1 cos 135 = -55.9 N

              F_{2y} = 79.1 sin 135 = 55.9 N

Jane      F₃ = 183 N direction 45th to the right

             cos 45 = F₃ₓ / F3

             sin 45 = F_{3y} / F3

             F₃ₓ = F₃ cos 45 = 183 cos 45

             F_{₃y} = F₃ sin 45 = 183 sin 45

             F₃ₓ = 129.4 N

             F_{3y} = 129.4 N

we add each component of the force

       Fₓ = F₁ₓ + F₂ₓ + F₃ₓ

       Fₓ = 63.9 + (-55.9) + 129.4

       Fₓ = 137.4 N

       F_{y} = F_{2y} + F_{3y}

       F_{2y} = 55.9 + 129.4

       F_{2y} = 185.3 N

we can give the result of the forms

a) F = (137.4 i ^ + 185 j ^) N

b) in the form of module and angle

         F = RA (Fₓ² + F_{y}²)

         F = Ra (137² + 185²)

         F = 230.2 N

         tan θ = F_{y} / Fₓ

         θ = tan⁻¹ F_{y} / Fₓ

        θ = tan⁻¹ (185/137)

        θ = 53.5º

Old potential energy:-

New potential energy

Option B is correct

A person pushing a wheelbarrow, causing it to move forward, is the example that illustrates Newton's first law. The correct option is C.

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

According to Newton's first law, a body tries to maintain its motion until or unless the external force is not applied to it.

If a body is at rest, try to rest if the body is in motion, try to be in motion until or unless an external force is not applied to it.

The wheelbarrow being propelled forward by a human is an illustration of Newton's first law.

Hence, the correct option is C.

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the answer is  A

average speed

Answer:

Explanation:

on volleyballit's clockwise and What Would Happen If Someone Served Out Of Order? If the wrong player on your team serves because it's not their turn, the point and the possession of the serve will go to your opponents.