where are pisa and boston in relation to the moon when they have high tides?

The statement is true. Mercury's precession can be fully accounted for by both Newton's theory of gravity and general relativity.

Newton's law of universal gravitation states that any two bodies in the universe are attracted to each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This force can explain why the perihelion of Mercury is slowly precessing around the sun.  According to Einstein's general theory of relativity, gravity is caused by the curvature of space-time around a massive body, such as the sun. This curvature of space-time causes Mercury to precess around the sun.

Newton's theory of gravity and general relativity provide equivalent explanations for the precession of Mercury's perihelion, which is a phenomenon in celestial mechanics. The precession of Mercury's perihelion is the slow rotation of the planet's elliptical orbit around the Sun's perihelion (the point of closest approach).It is well-known that Mercury's perihelion rotates by 42.98 arcseconds per century, or 1.39 degrees per century. This is caused by the gravitational influence of other planets, such as Venus and Jupiter, which produce small changes in Mercury's orbit. However, when this is taken into account, a tiny residual effect remains that cannot be accounted for using Newton's theory of gravity. This additional precession, known as the anomalous precession, can only be explained by general relativity.

The statement "Mercury's perihelion slowly precesses around the sun by a bit less than 2 degrees per century. This precession can be fully accounted for by Newton's theory of gravity, although general relativity also gives the same answer." is true.

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Answer:

Here you go, hope this helps you pass :)

Explanation:

You're welcome.

The term that Johana uses to describe the phenomenon where one side of the planet always faces the sun is "tidally locked".

What is TRAPPIST-1e?

TRAPPIST-1e is an exoplanet located in the TRAPPIST-1 system, which is a small, ultra-cool dwarf star located about 40 light-years away from Earth in the constellation Aquarius. TRAPPIST-1e is believed to be a rocky planet with a size and mass similar to Earth, and it orbits its star within the habitable zone, which is the region around a star where temperatures are just right for liquid water to exist on the surface. Because of these properties, TRAPPIST-1e is considered a potential candidate for the presence of life.

Johana is describing a phenomenon called "tidal locking" when she talks about Proxima-b and TRAPPIST-1e. Tidal locking occurs when a celestial object's rotation and revolution periods are equal, resulting in one side always facing the parent object. This happens because of the gravitational interaction between the two objects. In the case of planets orbiting their star, the gravitational forces of the star acting on the planet cause it to slow down its rotation over time until one side of the planet faces the star.

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The statement "electrical current of flow occurs when a person or conducting object bridges the gap between live conductors and the ground or live conductors." is true because when the gap between conductors and the ground is covered then current flows.

This happens when electricity is conducted through a circuit and creates a potential difference between two points.

This potential difference can cause electrons to move through the circuit and creates a current flow. When there is a gap or break in the circuit, electrons will attempt to fill the gap, creating a current of flow.

This current can cause injury or shock to anyone bridging the gap, so it is important to take precautions when dealing with live wires.

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The potential difference across a capacitor after it has been discharging for a very long time is 0 volts. This is because the capacitor is empty of charge, and thus has no potential difference between its two terminals.

A capacitor is a type of electrical component that stores energy in an electric field. The energy is stored in the form of electric charges on two conductive plates.

The plates are separated by an insulating material called a dielectric. The potential difference across a capacitor is proportional to the amount of charge stored on the plates.

When a capacitor discharges, it loses the stored charge. This discharge occurs when the capacitor is connected to a circuit. The capacitor will then begin to discharge as the charges on the plates flow through the circuit.

The potential difference across the capacitor will decrease as the charges on the plates decrease.

The capacitor has been completely discharged and no longer has any potential difference.

Thus, the potential difference across a capacitor after it has been discharging for a very long time is zero.

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In summary, when a fisherman is holding a fishing rod with a large fish hanging from the line, there are multiple forces acting on the rod. The external forces are the weight of the fish and the force of air resistance, while the internal forces are the tension in the fishing line and the force that the fisherman is exerting on the rod. The interaction partners of these forces are the fishing line, the rod, the fish, and the fisherman's hand.

When a fisherman is holding a fishing rod with a large fish hanging from the line, the following forces act on the rod:

- Tension force: This is the force that is pulling on the line that is attached to the fish. The line is creating a tension force in the rod as it tries to pull the rod downwards.
- Weight force: This is the force that is acting on the rod and the fish due to gravity. The weight force is directed downwards towards the earth.
- Normal force: This is the force that is exerted by the fisherman on the rod. The normal force acts perpendicular to the surface of the rod and prevents the rod from falling down.

The interaction partner of each force acting on the rod is as follows:

- Tension force: The interaction partner of the tension force is the fish. The line is pulling on the fish and the fish is exerting a force back on the line that is equal in magnitude and opposite in direction. This is the principle of Newton's third law of motion.
- Weight force: The interaction partner of the weight force is the earth. The earth is exerting a force back on the rod and the fish that is equal in magnitude and opposite in direction. This is also the principle of Newton's third law of motion.
- Normal force: The interaction partner of the normal force is the fisherman. The fisherman is holding the rod and is exerting a force on the rod that is perpendicular to its surface. This force prevents the rod from falling down and is equal in magnitude and opposite in direction to the weight force acting on the rod.

In summary, the forces acting on the rod when a fisherman is holding a fishing rod with a large fish hanging from the line are tension force, weight force, and normal force. The interaction partners of these forces are the fish, the earth, and the fisherman, respectively.

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During free fall, an object is subject to the force of gravity and its acceleration is equal to the acceleration due to gravity (g), which is approximately 9.81 meters per second squared (m/s²) near the surface of the Earth.

If an object is flying upward during free fall, its acceleration will still be equal to -9.81 m/s² (note the negative sign indicating that the acceleration is downward). This is because the direction of the acceleration due to gravity is always toward the center of the Earth.

Even if an object is moving upward, it is still subject to the gravitational force, which causes it to decelerate until it reaches its highest point and then starts to fall back down.

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There are three types of lunar eclipses: total, partial, and penumbral.

During a total lunar eclipse, the moon is completely shadowed by the Earth, resulting in a reddish-brown color. In a partial lunar eclipse, only a portion of the moon is shadowed, while in a penumbral lunar eclipse, the moon passes through the Earth's outer shadow, resulting in a subtle darkening of the moon's surface. These classifications are based on the degree to which the moon passes through the Earth's shadow during the eclipse.

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It will take about 12.12 minutes for the thermocouple to read 95% of the initial temperature difference of the sphere. This is due to difference in temperature.

What is the time required to read 95% of initial temperature difference?

In order to determine how long it will take for the thermocouple to read 95% of the initial temperature difference, the following formula is used:

t = (rho × V × Cp)/(h × pi × D) × ln ((Tinitial - T∞) / (Tinitial - Tcutoff))

where, t = time (s), ρ = density (kg/m³), V = volume (m³), Cp = specific heat capacity (J/kg °C), h = heat transfer coefficient (W/m²°C), D = diameter (m), Tinitial = initial temperature (°C), T∞ = surrounding temperature (°C), Tcutoff = temperature at which the thermocouple reading is 95% of the initial temperature difference (°C).

Substituting the given values into the above formula:

t = (8500 kg/m³ × (4/3 × pi × (0.0006 m)³)) / (65 W/m2 °C × pi × 0.0012 m) × ln ((100 °C - 25 °C) / (100 °C - 95 °C))

t = 727.31 s or 12.12 minutes.

Therefore, it will take approximately 12.12 minutes for the thermocouple to read 95% of the initial temperature difference.

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Answer:

They absorb radiation in the ultraviolet area - somewhat less than 4000 Angstroms or 400 mμ.

The reduction of the ozone layer in the upper atmosphere causes more of the shorter wavelengths to reach the surface  of the earth and then to be reradiated at longer wavelengths causing global warming.

The concentration of water vapor varies the most in the atmosphere.

The atmosphere is a thin layer of gas that surrounds the Earth. The atmosphere is composed of roughly 78% nitrogen and 21% oxygen, with trace amounts of other gases like argon and carbon dioxide. In addition, water vapor and aerosols are also present in the atmosphere.

Water vapor is the atmospheric component that fluctuates the most in concentration. It has a critical role in the planet's climate and is present in varying amounts in all parts of the atmosphere. Water vapor concentration is essential in the Earth's energy balance since it is a greenhouse gas that captures radiation from the sun and heats the planet's surface.

The amount of water vapor in the atmosphere can vary greatly depending on the temperature, location, and other environmental factors. Warm air can hold more water vapor than cold air, and areas with higher humidity can have more water vapor than arid regions. Overall, the concentration of water vapor in the atmosphere is constantly changing and fluctuating.

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In the comparison between these compounds, the bond is weaker due to the difference in electronegativity between the two atoms.

We can use the relation: E = hν

where, E is the energy of the photon, h is Planck's constant, and ν is the frequency of the photon.

Converting to Hz:

ν = 15376 MHz = 15376 × 106 Hz = 1.5376 × 10¹⁰ Hz

Substituting the frequency into the formula for photon energy: E = hν

E = 6.626 × 10⁻³⁴ J s × 1.5376 × 10¹⁰ Hz

E = 1.019 × 10⁻²³Joules

The frequency of the photon can be used to calculate the wavenumber, which in turn can be used to determine the internuclear distance of the molecule. The wavenumber (ν¯) of the photon is defined as the frequency divided by the speed of light, c:

ν¯= ν/c

where, c is 2.998 × 10⁸ m/s.

Converting the frequency into wavenumber:

ν¯= ν/c = 1.5376 × 10¹⁰ Hz/2.998 × 10⁸ m/s = 51.31 cm⁻¹

The wavenumber of the photon can be used to calculate the internuclear distance (r) by using the equation:

r = [h/(8π²cμ)]½ × (1/ν¯)

where, h is Planck's constant, c is the speed of light, and μ is the reduced mass of the molecule (m₁m₂/m₁ +m₂).

For K₃₅Cl₃₉, the atomic masses of K and Cl are 39 and 35, respectively. Therefore, m₁ = 39, u = 39 × 1.66 × 10⁻²⁷ kg = 6.474 × 10⁻²⁶ kg, m₂ = 35 u = 35 × 1.66 × 10⁻²⁷ kg = 5.81 × 10⁻²⁶ kg,

μ = (m₁m₂/m₁ +m₂) = 39 × 35/(39 + 35)

u = 16.86

u= 16.86 × 1.66 × 10⁻²⁷kg = 2.798 × 10⁻²⁶kg  

Substituting the values of the constants and the wavenumber: r = [h/(8π²cμ)]½ × (1/ν¯)r = [(6.626 × 10⁻³⁴ J s)/(8π² × 2.998 × 10⁸ m/s × 2.798 × 10⁻²⁶ kg)]½ × (1/51.31 cm⁻¹)r = 1.873 × 10⁻¹⁰ m = 1.873 Å

We can compare this bond length to that of HCl, which is 1.275 Å. The internuclear distance of K₃₅Cl₃₉ is much longer than that of HCl, indicating that the bond in K₃₅Cl₃₉ is weaker. This is consistent with the fact that K₃₅Cl₃₉ is a heteronuclear diatomic molecule, whereas HCl is a homonuclear diatomic molecule. In a heteronuclear diatomic molecule, the bond is weaker due to the difference in electronegativity between the two atoms.

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A resultant force of 5437 N would accelerate an 810 kg mass at 6.7 m/s². The answer that you have entered is 5427 and that is why it says incorrect.

A resultant force is the single force that represents the combined effect of two or more forces acting on an object. It is the net force that results from the vector sum of all the individual forces. The direction and magnitude of the resultant force determine the motion of the object, whether it is at rest, moving at a constant velocity, or accelerating.

To calculate the resultant force, we can use the formula:

Resultant force = mass x acceleration

Plugging in the given values, we get:

Resultant force = 810 kg x 6.7 m/s²

Resultant force = 5437 N

Therefore, a resultant force of 5437 N would accelerate an 810 kg mass at 6.7 m/s².

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Answer:

There would be no "seasons"

The person would always be subjected to the same amount of sunlight.

Since the earth is tilted at about 23 deg, a person at  that latitude would be subjected to sunlight from overhead to sunlight that appears 46 deg N of vertical.

Although infrared or ultraviolet light is refracted at various angles when it passes through a prism, the resulting spectrum is invisible to the human eye.

The white light is broken down into its component colors—red, orange, yellow, green, blue, and violet—as it passes through the prism. The separation of visible light into its many colors is known as dispersion.

The overall amount of energy in the universe cannot be increased or decreased; rather, it only changes from one form to another. The similar process occurs when we burn a candle; wax's chemical energy is transformed into light and heat energy.

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We know that Fg = mg = 4.5 kg * 9.8 m/s² = 44.1 NTherefore, F(t) = F_net + Fg = 1.5525 N + 44.1 N = 45.6525 NThe magnitude of the force F when t = 3.60 s is 45.65 N.Given,The mass of the crate, m = 4.5 kgHeight of the crate above its initial position, y(t) = (2.80m/s )t + (0.61m/s³)t³Let F(t) be the force applied upward on the rope.The upward force F(t) acting on the crate = Weight of the crate - Tension in the ropeTension in the rope is because of the force applied upward.

Therefore,Tension in the rope, T = F(t) - mgWhere g is the acceleration due to gravity= 9.8 m/s²Let's differentiate the given height of the crate equation to obtain the velocity of the crate above its initial position, dy(t)/dt.dy(t)/dt = (2.80m/s) + 3(0.61m/s³)t²We can determine the velocity of the crate at t= 3.60s by substituting the value of t = 3.60s. dy(3.60s)/dt = (2.80m/s) + 3(0.61m/s³)(3.60s)² = 16.34 m/sFrom the equation of motion, v² = u² + 2asWhere v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance.The initial velocity, u = 0m/s.The distance traveled by the crate when the force is applied, s = (2.80m/s)t + (0.61m/s³)t³ = (2.80m/s)(3.60s) + (0.61m/s³)(3.60s)³ = 23.63 mThe acceleration, a = (v² - u²)/2s = (16.34m/s²)/47.26m = 0.345 m/s²The net force, F_net = maWhere m is the mass of the crate and a is the acceleration of the crate due to the applied force F(t).F_net = m * a = 4.5kg * 0.345m/s² = 1.5525 NThe net force F_net is the sum of the force applied upward F(t) and the weight of the crate Fg, F_net = F(t) - FgWe know that Fg = mg = 4.5 kg * 9.8 m/s² = 44.1 NTherefore, F(t) = F_net + Fg = 1.5525 N + 44.1 N = 45.6525 NThe magnitude of the force F when t = 3.60 s is 45.65 N.

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The other plate of the capacitor is induced with an opposite charge through electrostatic induction as the particle of the flow approaches one plate.

As the particle of the flow approaches one plate of the capacitor, it induces an opposite charge on the other plate of the capacitor through the process of electrostatic induction. The electric field produced by the charge on the approaching plate pushes the electrons on the other plate away from the approaching plate, resulting in an accumulation of charge of the opposite sign on the other plate.

This process continues until the potential difference between the plates becomes large enough to produce a discharge, after which the process of electrostatic induction ceases. The discharge may occur in the form of a spark or a breakdown of the dielectric material separating the plates, depending on the strength of the electric field and the dielectric strength of the material.

Overall, the other plate of the capacitor experiences a temporary polarization and a buildup of charge of the opposite sign due to the approaching particle.

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Oort Cloud

coma

tail

nucleus

meteor shower

Kuiper Belt

What is Nucleus?

In physics, the nucleus is the central part of an atom. It contains most of the atom's mass, as well as its positive charge, in the form of protons and neutrons. The nucleus is held together by the strong nuclear force, which is one of the four fundamental forces of nature.

Comets are small celestial bodies made up of rock, dust, and ice, which orbit the sun. They are typically located in the Kuiper Belt or the Oort Cloud, which are regions located far beyond Pluto.

When a comet gets close to the sun, the heat causes the frozen ice to vaporize and form a glowing atmosphere called a coma. This bright spherical part of the comet is known as the coma.

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The reciprocals of the resistances in a parallel circuit with three conductors are added to determine the overall resistance using the formula 1/R = 1/R1 + 1/R2 + 1/R3.

The total resistance of a parallel electrical circuit with three conductors and resistances R1, R2, and R3 is calculated using the formula 1/R = 1/R1 + 1/R2 +1/R3. The conductors of a parallel circuit are linked so that the voltage across each wire is the same, but the current flowing through each conductor may vary. This indicates that the circuit's entire current is distributed among the three conductors. According to the formula, the circuit's overall conductance is equal to the sum of the conductances of its individual conductors. We may calculate the overall resistance of the circuit by calculating the reciprocal of the total conductance. This formula can be extended to circuits with any number of parallel conductors, making it a useful tool for calculating the total resistance of a circuit.

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The reading on the scale B is 287N. This is because the two springs in series are both in equilibrium, meaning that the forces exerted by each spring are equal to each other and to the weight of the apples (287N).

To determine the reading on the lower scale b, you need to calculate the total elongation of both the springs. Let us assume that the elongations of springs A and B are dA and dB, respectively. Spring Scale A is fixed to the ceiling and is vertically above Spring Scale B. Spring Scale A reads the total weight of the combination, which is the weight of both the apples and the scales. So, the weight on Scale A is 287N (Weight of the apple).

The force exerted by Scale A is divided between the two springs, so you need to know the spring constant for both the springs to calculate how the weight will be divided. Let’s assume that the spring constant for spring A is KA and spring constant for spring B is KB. Hence, we know the following:

F = kx

where, F is the force exerted by the spring, x is the elongation of the spring, and k is the spring constant.

We can express this as:

F = m×g

where, m is the mass attached to the spring and g is acceleration due to gravity.

Using the above two equations, we can get the following:

x = m×g/k

The weight on Scale B is 287N, which is the force exerted by spring B.

So, 287 = KB×dB

Also, the force exerted by Scale A is divided between the two springs. The force on spring A is the total weight, which is 287N plus the weight of the two spring scales (which can be ignored). So, the force on spring A is 287N.

So, 287 = KA×dA + KB×dB

Since both the springs are connected in series, the total elongation (d) is the sum of the elongations of the individual springs. Hence,d = dA + dB. So, substituting the value of dB in the above equation:

287 = KA× dA + KB×dA/KB

Therefore, dA = 287/ (KA + KB)

Therefore, the reading on scale B (lower scale) is: dB = 287/KB. So, the reading on scale B is 287/KB.

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For each charge, the direction of the magnetic force can be determined using the right-hand rule. For the last one, the direction of the magnetic field can be determined by observing the direction of the current.

The right-hand formula can be used to calculate the direction of the magnetic field for each charge. According to the formula, if you aim your right thumb in the direction of the charged particle's velocity and your fingers in the direction of the magnetic field, the way your hand confronts is the magnetic force direction.

To identify the direction of the magnetic field for the final charge, examine the direction of the current. The magnetic field is perpendicular to the current and can also be calculated with the right-hand formula.

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Answer:

Explanation:

no

The luminosity of a star that has twice the temperature of the Sun, but the same radius as the Sun is approximately 16 times that of the Sun. This can be represented by Stefan-Boltzmann law.

The total amount of energy emitted by a star per unit of time is known as luminosity. It is usually calculated in terms of the Sun's luminosity. A star's luminosity is determined by its surface temperature and size. Luminosity is often confused with brightness, which is the amount of light that reaches an observer from a celestial body.

The Stefan-Boltzmann law, L = 4πR2σT4, is used to calculate the luminosity of a star. Here, L is the star's luminosity, R is its radius, T is its temperature, and σ is the Stefan-Boltzmann constant. The radius of a circle is the distance between its center and any point on its circumference. It is one of the circle's most basic properties. The radius of a circle is a line segment that extends from its center to its perimeter. The radius is half of the diameter of a circle. In the formula for the area of a circle, the radius plays an important role because it is squared.

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Acetylcholine and non-depolarizing blockers battle it out for receptors in order to function. They assist with surgery and mechanical ventilation. Depolarizing substances.

On the other hand, result in prolonged activation and consequent desensitisation of the receptors.

Non-depolarizing neuromuscular blockers (nNMBs) are given as adjuvant therapy in the management of critically sick patients as well as as primary therapy to facilitate endotracheal intubations. nNMBs (rocuronium, vecuronium, pancuronium, atracurium, cisatracurium, mivacurium) are primarily used during routine and emergency intubations to facilitate airway management and lower the risk of laryngeal injury. This activity describes the indications, mode of action, administration techniques, significant adverse effects, contraindications, monitoring, and toxicity of nNMBs so that healthcare professionals can guide patient therapy towards the best results possible during anaesthesia and other medical procedures where nNMBs are beneficial therapeutically.

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The vertically upward normal reaction force on the beam at the fulcrum is 600 N. This can be calculated by taking the total moment of box. Thus, the correct option is D.

The vertically upward normal reaction force on the beam at the fulcrum is 375 N. Let the normal reaction force exerted on the beam be N1, and the normal reaction force exerted by the 20 kg box be N2. Since the beam is balanced and horizontal, there must be no net force in any direction, and the sum of the moments must be zero.

Therefore, taking moments about the fulcrum, we get:

20 × 2.0 × 10 + 40 × 1.0 × 10 = N1 × 0

Hence, N1 = (20 × 2.0 × 10 + 40 × 1.0 × 10)/0 = 1200/0, which is undefined or infinity.

We can see that our equation was wrong. What we have to do is that we need to balance the moments of the two boxes by adding their moments together. The moment of the 20 kg box is:

20 × 2.0 × 10 = 400 Nm.

The moment of the 40 kg box is: 40 × 1.0 × 10 = 400 Nm as well. So, the total moment is: 400 + 400 = 800 Nm. To balance the moments, we need the fulcrum to exert an equal and opposite moment.

So, N1 × 0 = 800 Nm, which gives N1 = 0.The normal force exerted on the beam by the fulcrum is zero. Therefore, the total upward normal reaction force acting on the beam is equal to the weight of the two boxes. Thus,

Fn = (20 + 40) × 10

Fn = 600 N

Therefore, the vertically upward normal reaction force on the beam at the fulcrum is 600 N. Hence, the correct option is D.

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Focusing a camera changes the distance between the lens and the film. And the eye focus by changing the distance between the lens and the retina is true as, the eye does focus by changing the distance between the lens and the retina.

When we focus on an object, the curvature of the lens in our eye changes. This causes the light rays from the object to converge and focus on the retina, located at the back of the eye.

In order to focus on objects at different distances, our eye's lens must adjust its shape by changing its curvature, which changes the distance between the lens and the retina. This process is called accommodation.

The process of focusing the eye is similar to the process of focusing a camera. In a camera, changing the distance between the lens and the film allows for the object to be in focus. Similarly, in the eye, changing the distance between the lens and the retina allows for objects to be in focus.

Therefore, the eye focuses by changing the distance between the lens and the retina.

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We can use the kinematic equations for circular motion to solve this problem. The equation we will use is:

θ = (s / r)

where θ is the angle of rotation (in radians), s is the displacement, and r is the radius of the circular path.

In this case, the object makes 3/4 revolution, which is equivalent to an angle of rotation of:

θ = (3/4) x 2π radians = 1.5π radians

The displacement is given as 6 m.

Therefore, we can rearrange the equation to solve for the radius:r = s / θ

r = 6 m / (1.5π radians)

r ≈ 1.273 m

Therefore, the radius of the circular path is approximately 1.273 meters.

What is a path ?

A path is a route or way that someone or something follows to reach a destination or achieve a particular goal. It can be physical or abstract, and can refer to a variety of contexts such as travel, communication, decision-making, or personal development.

A physical sense, a path can refer to a trail, road, or sidewalk that people use to walk, cycle, or drive to a particular location. In computing, a path refers to the sequence of directories and that lead to a specific file or folder.

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A uniform beam can be in rotational equilibrium but not translational equilibrium if there is a force acting on the beam that causes a torque but does not cause any net force in any particular direction

Explanation - A uniform beam is rotational equilibrium but not translational equilibrium because in rotational equilibrium, the net torque acting on the object is equal to zero while in translational equilibrium, the net force acting on the object is equal to zero. Here, the following are the given information: Uniform beam It is rotational equilibrium It is not translational equilibriumWhen a uniform beam is placed on two supports, it is in rotational equilibrium because the forces acting on it are balanced. This means that the net torque acting on the beam is equal to zero. However, the beam is not in translational equilibrium because the forces acting on it are not balanced. This means that the net force acting on the beam is not equal to zero.The formula for torque is τ= rF sin θwhere τ is torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force and the line of action of the force.In order for the beam to be in rotational equilibrium, the sum of the torques acting on it must be equal to zero. Therefore, the torques acting on one side of the beam must be equal and opposite to the torques acting on the other side of the beam.

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Answer:

I = 1/2 M R^2       moment of inertia

Translational energy due to rotation

Er = 1/2 I ω^2 = 1/2 M R^2 ω^2 = 1/2 M V^2       since V = R ω

Thus (A) the translational KE is equal to the rotational energy and

Ek = Er + Et      for the total energy of the cylinder