A small object of mass 3.80g and charge −18.0μC is suspended motionless above the ground when immersed in a uniform electric field perpendicular to the ground. What are the magnitude and direction of the electric field?

The speed of the second block after the first collision is 2.5 m/s. The speed of the third 6 kg block after the second collision is 3.5 m/s.

Since the collision is elastic, momentum is conserved.

Initially, only the first block is moving with a velocity of 5 m/s. Therefore, the initial momentum is,

P = m1×v1 = 6 kg × 5 m/s = 30 kg m/s

After the first collision, both blocks have the same velocity, v since the collision is elastic.

[tex]P = m_1v_1 + m_2v_2\\30 = 6 \times v + 6 \times v_2\\30 = 12 \times v_2\\v_2 = \dfrac{30}{12}[/tex]

v₂ = 2.5 m/s

After the second collision, the two blocks stick together. The final momentum is,

[tex]P = m_1v_1 + m_2v_2 + m_3*v_3\\P = 6 \times 5 + 6 \times 2.5 + 6 \times v_3\\P = 42 kg m/s[/tex]

Since the blocks stick together, their mass becomes 12 kg.

[tex]P = m\times v\\42 = 12 \times v[/tex]

v = 3.5 m/s

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--The complete question is, A 6 kg block moves with a constant speed 5 m/s on a horizontal frictionless surface and collides elastically with an identical block initially at rest. The second block collides and sticks to the last 6 kg block which was initially at rest. What is the speed of the second 6 kg block after the first collision? What is the speed of the third 6 kg block after the second collision?--

The magnitude of the electric force on the raindrops (acquire an electric charge as they fall, suppose a 2.5-mm-diameter drop has a charge of +15 pC) droplet compare to the weight force = 204.134 x 10⁻⁶ N.

So, the weight of the droplet is more than the electric force.

To determine the electric force on the charge, use the equation:

The electric force on the charge = charge x electric field

= (15 x 10⁻¹² C) x 100

= 15 x 10⁻⁹ N

As force on positive charge operates in the direction of the electric field, it will go upward.

Determine the volume of the droplet:

V = 4/3 π R³

= 4/3 (2.5 x 10⁻³ m)³

= 20.83 x 10⁻⁹ m³

The mass of the droplet:

mass = density x volume

= (1000) x (20.83 x 10⁻⁹ kg)

= 20.83 x 10⁻⁶

Hence,

The weight = m x g

= (20.83 x 10⁻⁶) x (9.8)

= 204.134 x 10⁻⁶ N.

So, the weight of the droplet is more than the electric force.

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The work done here is the change in kinetic energy. The kinetic energy to accelerate a 1.8 kg object from rest to 26 m/s is 608.4 J.

Work done is a physical quantity that measures the effectives of a force in moving an object. Like force it is a vector quantity having direction and magnitude.

The work done for moving an object from a lower speed to higher speed is equal to the change in its kinetic energy.

here, m = 1.8 kg

v = 26 m/s

initial speed u = 0

then initial kinetic energy = 0

Work done  = ΔKE

W = 1/2mv² - 0

W = 1/2 1.8 kg × 26 m/s ²

    = 608.4 J.

Therefore, the work done needed to accelerate the object is608.4 J.

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A significant meteoroid collision caused the meteor crater to develop. The right response is option c.

A meteor is a streak of light in the sky that results from a meteoroid colliding with Earth's atmosphere. Meteoroids are rock or iron clusters that orbit the sun.

Meteor Crater, located close to Winslow, Arizona, is one of the most well-known craters on Earth. A 50-meter (164-foot), 150,000-ton meteorite fell into the desert roughly 50,000 years ago, instantaneously creating the crater. The diameter and depth of Meteor Crater are 1.2 km (0.75 miles) and 175 m (575 feet), respectively.

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--The complete question is, which of the following are possible explanations for the formation of the meteor crater?

a. volcanic explosion

b. a large pothole formed by swirling water action in an extremely large river

c. large meteoroid collision--

The integral that can be used to find the value of k when the tank becomes empty is  [tex]\int\limits^k_{18}[/tex] R(t)dt = 1310

The differential solution is a function that satisfies the intended differential. In this case, it is intended to find the value of R(t).

The solution to the differential equation can be an analytical solution, where the answer to the differential equation can be expressed in terms of basic functions such as eⁿ, sin t, cost t, etc.

Not all differential equations can be solved analytically. Differential payment solutions can also be searched using numerical methods that produce solutions with approximate values.

So, the uniqueness involving the integral expression on the water pumped into the tank is [tex]\int\limits^k_{18}[/tex] R(t)dt = 1310

Your question is incomplete but most probably your full question was:

For t > 18 no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. Let k be the time at which the tank becomes empty. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.

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The self-inductance per unit length of a long solenoid can be calculated using the formula: L = (μ_0 × n^2 × A) / l

where μ_0 is the permeability of free space, n is the number of turns per unit length, A is the cross-sectional area of the solenoid, and l is the length of the solenoid. A = π × R^2

L = (μ_0 × n^2 × π × R^2) / l

An apparatus that transforms electrical energy into mechanical energy is a solenoid. It is formed out of a wire coil that is tightly twisted around a cylindrical, ferromagnetic core. The core moves in a linear or circular motion when an electric current is run through the coil, creating a magnetic field that interacts with the core and causes it to move. Numerous devices, including door locks, valves, starting motors, and actuators for robotics and automation systems, require solenoids. Additionally, they are employed in research to generate magnetic fields for particle acceleration and control the motion of small objects. Electrical energy is transformed into mechanical work by a solenoid.

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The ball will rise to a height of approximately 31.25 meters.

First we can use the concept of energy conservation. Initially, the baseball has kinetic energy due to its motion, and as it rises, this kinetic energy is converted into potential energy due to its increased height.

The sum of the kinetic and potential energy of the baseball must remain constant, so we can use this principle to determine the maximum height reached by the ball.

The formula for kinetic energy is:

KE = 0.5 x m x v^2

where m is the mass of the ball (0.4 kg) and v is the velocity of the ball (25 m/s).

The formula for potential energy is:

PE = m x g x h

where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the ball.

Since the total energy is conserved, we can set the initial kinetic energy equal to the final potential energy and solve for h:

0.5 x m x v^2 = m x g x h

0.5 x 0.4 kg x (25 m/s)^2 = 0.4 kg x 9.8 m/s^2 x h

h = (0.5 x (25 m/s)^2) / (9.8 m/s^2)

h = 31.25 m

Therefore, the ball will rise to a height of approximately 31.25 meters.

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A point between two opposite charges is where the net electric field is zero. The electric field due to many charges can be calculated by computing the individual electric fields due to each charge then vector summing them.

I need to be aware of the charges' placements and magnitudes in order to fix this issue. I can't offer a precise answer without this information. I can offer the broad strategy for resolving the issue, though.

We must apply Coulomb's law to determine the electric field where particle x or y is located. The electric field produced by a point charge Q at a distance r is described by Coulomb's law as follows:

E = kQ/r^2

where k equals 8.9910-9 Nm2/C2, the Coulomb constant. In order to determine the electric field due to each charge independently and then add them vectorially, we must first determine the c due to each charge at the location of particle x or y.

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Photochemical smog is produced. Nitrogen oxides (NOx) and volatile organic compounds (VOCs) from vehicle exhaust combine with sunlight to create photochemical smog.

When sunlight interacts with nitrogen oxides and at least one volatile organic compound (VOC) in the atmosphere, photochemical smog is created. Automobile exhaust, coal-fired power plants, and industrial pollutants all produce nitrogen oxides.

When nitrogen oxides and volatile organic compounds (VOCs) combine with sunlight, a mixture of pollutants called photochemical smog is produced, which explains why there is a brown cloud above cities. Due to the fact that we receive the most sunshine in the summer, it tends to happen more frequently.

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The release of the kinetic energy in a crash is what caused vehicles to be damaged or destroyed and the occupants injured or killed.

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

We deduct the initial energy from the end energy to get the change in kinetic energy.

When a particle with mass m starts moving in a straight line, the rate of change of kinetic energy is equal to n times (n is a constant with the proper dimension).

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(a) Efficiency = (energy delivered to CD player) / (energy supplied by charger)

The energy delivered to the CD player is:

E_delivered = I_avg * V * t = (18.0 mA) * (1.60 V) * (2.40 h) = 0.062 mL

The energy supplied by the charger is:

E_supplied = I_charge * V_charge * t_charge = (13.5 mA) * (2.20 V) * (4.20 h) = 0.126 mL

where t_charge is the time the battery is charged.

Thus, the efficiency of the battery is:

Efficiency = E_delivered / E_supplied = 0.062 mL / 0.126 mL = 0.49 or 49%

(b) The internal energy produced in the battery during one charge-discharge cycle can be found by:

ΔU = E_supplied - E_delivered

ΔU = 0.126 mL - 0.062 mL = 0.064 mL

(c) The amount by which the temperature of the battery increases during the cycle can be found using the formula:

ΔT = ΔU / (m * c_eff)

where ΔT is the temperature increase, m is the mass of the battery, and c_eff is the effective specific heat of the battery.

ΔT = (0.064 mL) / (0.0150 kg * 975 J/kg·°C) = 4.26°C

Therefore, the temperature of the battery will increase by 4.26°C during one charge-discharge cycle if it is surrounded by ideal thermal insulation.

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The work that the electric force do on q₀ during its motion from A to B is + 0.792 J.

When an item is pushed across a specific distance by an external force, work is the quantity of energy that is transmitted to the object.

In the given problem, distance between q₀ and q is:

d₁ = √2 x 7.00 cm = 9.90 cm

The distance between q₀ and the charge q is:

d₂ = √2 x 7.00 cm = 9.90 cm

The electric force between two charges is given by Coulomb's law:

F = k × q₁× q₂ / r²

where k is the Coulomb constant, q₁ and q₂ are the charges, and r is the distance between them.

At point A, the electric force on q₀ due to the charge q is:

F1 = k × q₀ × q / d₁²

= (9.0 x 10⁹ N·m²/C²) × (-1.00 × 10⁻⁶C) × (7.00 × 10⁻⁶ C) / (9.90 x 10⁻² m)²

= -4.002 N

The negative sign indicates that the force is in the opposite direction to the displacement of q₀.

At point B, the electric force on q₀ due to the charge q is:

F2 = k × q₀ × q / d₂²

= (9.0 × 10⁹)× (-1.00 × 10⁻⁶) × (7.00 × 10⁻⁶) / (9.90 × 10⁻²)²

= -4.002 N

So, work done by a constant force:

W = F × d × cosθ

So the work done by the electric force on q₀ from A to B is:

W = F1 × d1 × cos(180) + F2 × d2 × cos(180) = (-4.002 N) × (9.90 × 10⁻² m) × (-1) + (-4.002 N) × (9.90 × 10⁻² m) × (-1) = 0.792 J

The positive value indicates that the work done by the electric force is in the direction opposite to the displacement of  q₀, which means that the electric force does negative work on q₀.

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The control system is primarily based on a tachometer (sensor). It provides a linearly scaled voltage. To simplify the tasks, we simply assume is ks=1.

We often assume is - 30652102. The tachometer is an instrument whose objective is utilized in the measurement of the speed of the engine in revolutions per minute or rpm. This is generally used in road vehicles and vehicles. Tachometer is visible in the dashboard of your vehicle. A tachometer is an instrument which is used for measuring the rotation speed of a shaft or disk, examples will be in a motor or other machine. The device always displays and elicit the revolutions per minute (RPM) on a calibrated analogue dial, but digital displays are increasingly common.

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When the penguin is in the air, there is only one force acting on it.

The force (Fg) is the force due to gravity that acts downward.

The acceleration is also acting downward.

Acceleration and force act in the same direction. Consequently, the acceleration is in the downward direction.

Newton's second law states that the net force is equal to the penguin's mass (m) times its acceleration (a).

Fg= ma

a= -g

a= -9.8 m/s2

The acceleration of the Penguin is acting downwards since a= -9.8 m/s2

(Fg) s taken -ve because it is in the -y-direction (downward).

Hence, the correct solution this question is downwards.

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The following situations are similar to Copernicus's explanation for the retrograde motion:

A runner on an inner track lapping a slower runner on an outer track.

A fire truck overtaking and passing other vehicles on the road.

When a planet appears to be moving backward in its orbit when viewed from Earth, this is known as retrograde motion. It happens when Earth crosses in front of a slower-moving outer planet or when an inner planet catches up to and passes Earth. As it moves in contrast to the background stars, the planet appears to move in a loop or zigzag pattern. Ancient astronomers initially noticed retrograde motion and thought the planets were moving haphazardly or in the opposite direction. However, it is now known that this phenomenon is an optical illusion brought on by the planet's orbit differing from Earth's orbit in both speed and direction. Astronomers use the notion of retrograde motion to better comprehend the dynamics of our solar system.

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The force with which the Earth is attracted towards the person is equal to the same force of 120 lbs.

This is due to the law of universal gravitation. This law states that any two objects in the universe attract 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. Therefore, the Earth and the person both experience a force of 120 lbs due to their mutual attraction.

The law of universal gravitation states that any two objects in the universe attract 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 means that the greater the mass of the objects and the closer they are to each other, the stronger the force of attraction will be. This law was first proposed by Isaac Newton in 1687 and is one of the most fundamental concepts in physics.

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The kinetic energy and the potential energy will be the same at point 1

At point 2 the kinetic energy is 0 while at point 3 the potential energy is 0.

The kinetic energy at 1 is zero while the potential energy at 2 is maximum

The momentum is 60 Kg m/s

The impulse is 900 Ns

Kinetic energy is the energy possessed by a moving object due to its motion. It is defined as the energy that an object possesses as a result of its motion, and is dependent on both the object's mass and velocity. The formula for calculating kinetic energy is:

Kinetic Energy = 1/2 x mass x velocity^2

where mass is the mass of the object in kilograms and velocity is its speed in meters per second.

Momentum = mv = 30 * 2 = 60 Kg m/s

Since Ft = mv

= 200 * 4.5 = 900 Ns

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The luminosity doubles  if the voltage of the battery is doubled.

Describe luminosity.

Luminosity, which is essentially measured in joules per second or watts in SI units, refers to the total energy produced by various celestial bodies (stars, galaxies) per unit time. A light-emitting object's radiant power, which is measured in absolute terms as luminosity, is the electromagnetic power that it radiates out over time.

The brightness of the bulb increases as the voltage rises. All of the bulbs in a series circuit are turned off when one of the bulbs is unscrewed. The brightness of the bulbs in a series circuit reduces as the number of lamps increases.

P=AVI,

If V is doubled, P also becomes doubled.

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The time will take for each persons to make a round trip will be=2.5 hours for pier A and 0.75 hours for pier B

Let's first find the time it takes for the rower to make the round trip. The rower's velocity relative to the water is 4 km/h, but the water is flowing at 2.8 km/h in the direction from A to B, so the rower's velocity relative to the shore is:

v_r = 4 km/h - 2.8 km/h = 1.2 km/h

The distance the rower travels is 2 * 1500 m = 3000 m, or 3 km. Therefore, the time it takes for the rower to make the round trip is:

t_r = 3 km / 1.2 km/h = 2.5 hours

Now let's find the time it takes for the walker to make the round trip. The walker's velocity is 4 km/h, so the time it takes for them to walk 1500 m from A to B is:

t_w = 1500 m / 4 km/h = 0.375 hours

The walker then turns around and walks 1500 m back to A, which takes another 0.375 hours. Therefore, the total time it takes for the walker to make the round trip is:

t_w = 2 * 0.375 hours = 0.75 hours

So the rower takes 2.5 hours and the walker takes 0.75 hours to make the round trip from pier A to pier B and back.

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Two significant figures and include the appropriate units. I1 =2A.

The power of a positive attitude is often underestimated. People who come into life with a positive outlook have the ability to make the most out of any situation. They are more likely to take risks, have the courage to make difficult decisions, and work hard to achieve their goals. Positive attitudes also lead to better mental and physical health, as well as improved relationships with others. Having a positive attitude also leads to increased motivation, which can help people stay focused on their goals and stay motivated to achieve them.

The direction of the current through in the figure. to the right to the left.

Two significant figures and include the appropriate units. I2 = 4A.

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The largest area that the window could be is when it has the maximum height and width, so

Between the interior jambs on the left and right, measure the distance horizontally with a tape measure. Shut the window and take a similar measurement in the centre of the window from jamb to jamb.

At the top of the window, measure the space between the jambs. Take the shortest reading.

Area = height x width [tex]= 160 cm x 82 cm = 13,120 cm²[/tex]

Additional heights of [tex]18, 52, 54,[/tex]And [tex]62[/tex] Inches can be added to the standard height range of 2 feet to 8 feet.

Rough openings are given in whole numbers, and the actual window size is calculated by subtracting 1/2 inch from each rough opening size.

Area = height x width [tex]= 150 cm x 70 cm = 10,500 cm²[/tex]

Therefore, The smallest area that the window could be is when it has the minimum height and width, so:

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The prediction of the combined (net) force on the cart is towards the left direction.

Net Force, which is essentially the total of all the forces operating on an item, is the combination or consequence of those forces.

Balanced forces are those acting on an item that add up to a net force of zero. The velocity of an object is unaffected by balanced forces, as seen in the illustration on the page opposite. Unbalanced forces are those acting on an item that add together to provide a net force that is not zero.

Motion is toward right but the cart is slowing down so the cart is accelerating towards left,

Now F = ma

Since, acceleration is to the left hence the net force is also to the left.

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The early Greek epicycle model was preferred over the heliocentric model of the solar system because it provided a more precise account of observed planetary motions.

Although Copernicus' system does not require epicycles to produce retrograde motion, he was forced to use them nonetheless because of his insistence on uniform circular motion in order for his model to produce accurate predictions (i.e., to "preserve appearances"), particularly to replicate the planets' non-uniform speeds.

Because its proponents were unable to explain why, the heliocentric, or Sun-centered, model of the solar system never achieved widespread acceptance.

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6.2 n force pushing two gliders along an air track. the 250 g spring between the gliders is compressed. the spring is firmly attached to the gliders, and it does not sag due to 3newton force applied on it.

Mass of right glider A, m=0.4kg

Mass of right spring, ms=0.2kg

External force f=6n

M+m+ms=fa

a=f/M+m+ms

a=6/0.6+0.4+0.2

a=5

f=0.6*5=3 newton

The push or pull on an object with has mass that result to change its velocity is known as force. Force is an external agent which is applied externally and is capacble of changing a stae of a body that means body's state of rest or motion. It has a magnitude and a direction.

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All three statements are correct based on the given information provided in the question.

All three statements are correct based on the given information. The first two statements relate to the amount of potential energy and kinetic energy the ball possesses, respectively, before impact with the board, which determines whether the board will break or not. The third statement relates to the conservation of energy, which dictates that the total energy of the system (the ball and the board) must remain constant, and some of the kinetic energy of the ball is transferred to the board as potential energy before the board breaks.

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During an elastic collision, the force exerted by the car on the truck is equal in magnitude to the force exerted by the truck on the car. That is, the forces exerted by each object on the other are the same size.

In an elastic collision, the force exerted by the car on the truck is equal in magnitude to the force exerted by the truck on the car. This is because according to Newton's third law of motion, for every action, there is an equal and opposite reaction.

Therefore, the force that the car exerts on the truck is equal and opposite to the force that the truck exerts on the car.

In other words, the magnitude of the force exerted by the car on the truck is the same as the magnitude of the force exerted by the truck on the car.

So, to compare the force exerted by the car on the truck with that exerted by the truck on the car during the collision, we can say that they are equal in magnitude.

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Static friction is a force which keeps an object at rest. Static friction can be harmful as it releases energy in the form of heat due to rubbing of two bodies.

Static friction is a force which keeps an object at the state of rest. Static friction can be defined as the friction which is experienced when the individuals try to move a stationary object on a smooth surface, without actually triggering any relative motion between the two objects or body and the surface on which it is moving.

In static friction, the frictional force resists the force which is applied to an object in motion, and the object which remains at the state of rest until the force of static friction is overcome. In the kinetic friction, the frictional force resists the motion of an object. This produces heat energy.

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p=2m is the formula for the relationship between linear momentum and kinetic energy (K. E.) Additional Details: The relationship between momentum and an object's mass and speed is straightforward.

(D) P=2mE. A body's kinetic energy is directly related to the squares of its total momentum. The mass and speed of a body immediately affect the linear momentum. Rightarrow E = dfrac12mv2, where E is gravitational acceleration, m is the body's mass, and v is the speed.

The object's overall energy is mgh. Its gravitational potential will turn into kinetic energy as it descends.The potential energy will fall while a kinetic energy could rise as the object continued to fall.

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The bowling ball has a rotating kinetic energy of 8.573 J and a total velocity of 134.573 J.

A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the energy transfer, is done on it by exerting a net force. The word "kinetic" derives from the Greek "kinesis," which means motion. Any direction can be used to move it. As can be seen, kinetic energy rises with increasing mass and/or speed, and it stays unchanged if an object slows down or accelerates up.

To calculate rotational kinetic energy:

Rotational kinetic energy = (1/2) * I * ω^2

where I is the intertia of solid

I = (2/5) * m * r^2, m is the mass and r is radius

Substituting the given values, we get:

I = (2/5) * 7 kg * (0.109 m)^2

I = 0.00265 kg * m^2

The angular velocity of the ball ω = v / r

let v is the linear velocity of the ball.

Substituting the given values, we get:

ω = 6 m/s / 0.109 m

ω = 55.046 rad/s

by substituting this values into formulae we get

Rotational KE= (1/2) * 0.00265 kg * m^2 * (55.046 rad/s)^2

Rotational KE = 8.573 J

Therefore, the rotational kinetic energy of the bowling ball is 8.573 J.

The translational kinetic energy can be calculated as:

Translational kinetic energy = (1/2) * m * v^2

Substituting the given values, we get:

Translational KE= (1/2) * 7 kg * (6 m/s)^2

Translational KE = 126 J

Therefore, the total KE of the ball is:

Total kinetic energy = Rotational kinetic energy + Translational kinetic energy

Total KE = 8.573 J + 126 J

Total kinetic energy = 134.573 J

Therefore, the total kinetic energy of the ball is 134.57

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