Find the angular acceleration of a spinning amusement-park ride that initially travels at 0.50 rad/s then accelerates
to 0.60 rad/s during a 0.50 s time interval.

An example could be land pollution, like when you see garbage and plastic littered across the grass/sidewalk

Answer:

Translational Kinetic Energy Definition

The energy possessed by a body or object due to its velocity in one direction is called translational kinetic energy.

Answer:

Translational kinetic energy is the movement of chemical entity's center of mass.

Example: A train moving on a track or any object free falling due to gravity.

According to the question the speed of pulse is = 0.33m/s

Velocity is the pace and direction of either an object's movement, whereas speed is now the time rate which an object is travelling along a path. In other words, velocity is a vector, whereas speed would be a scalar value. If you determine how far an object travels in a certain amount of time, you can calculate its speed.For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour .

The equation for speed can be obtained by simply dividing time by distance.

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The time taken for the basketball to roll down without slipping is 1.02 seconds.

The final speed of the basket ball when it rolls to the ground is calculated by applying the principle of conservation of angular momentum.

Fr = Iα

mgd = Iα

where;

The formula for moment of inertia of a thin spherical sphere is given as;

I = ²/₃MR²

mgd = Iα

mgd = (²/₃MR²)α

gd = (²/₃R²)(ω²/2θ)

gd = (²/₃R²)(v²/(R² x 2θ) )

gd = (²/₃)(v²) /(2θ)

2θgd = ²/₃(v²)

3θgd = v²

v = √ (3θgd)

where;

v = √ ( 3 x 0.91 x 9.8 x 3.7 )

v = 9.95 m/s

The time taken for the ball is calculated as follows;

v = u + gt

v = 0 + gt

t = v / g

t = ( 9.95 ) / ( 9.8 )

t = 1.02 seconds

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Deoxyribonucleic acid (DNA) is the nucleic acid that carries genetic information in the human body.

Deoxyribonucleic acid or DNA is the molecule that carries the genetic information for the development and functioning of an organism in the human body. DNA is made of two connected strands that wind around each other to resemble a twisted ladder -a shape referred to as a double helix. Thus, DNA is the nucleic acid that performs the function of carrying genetic information that is to be transferred from one generation to the next generation.

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Moving in a vertical circle If the distance is calculated using a fixed point, it will be the same everywhere. The ball needs to travel around the circle at a minimum speed of 44.1 m/s.

The vectorial expression of velocity is the movement in space-time of an object or particle. The recognised unit of velocity magnitude is the metre per second (m/s) (also known as speed). The rate of speed can also be expressed in centimetres per second (cm/s). The pace at which an object's location changes as seen from a certain angle and as stated by a specific time unit (for example, 60 km/h northbound) is measured by its velocity, which is the direction in which it is travelling.

As a physical vector quantity, velocity must have a specified magnitude and direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or ms1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). A vector is "5 metres per secon.

The vertical circle has a radius of 0.90 metres.

As the ball rotates vertically and continuously in a circular motion. As a result, the ball will move at the same speed at each point.

Consequently, the centripetal force ought to be constant at each location, that is,

mv2/R

Here, m stands for mass. R is the radius, and v is the speed.

The tension operating on the ball (towards the centre) and the gravitational force acting on it counteract this centripetal force. Thus,

mv2/R=T+mg

The tension should be zero for the minimal velocity. Thus,

mv2/R=mg

Simplify it as,

V2/R=g

V=√Rg

Assume that V is the initial velocity.

1/2mv2=mg(2R)+1/2m(√(gR^2 )

V=√5gR

G's squared value is 9.8 m/s. The ball must therefore move at a minimal speed in order to complete the circle:

V=5×9.8×0.90

V=44.1m/s

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Knowing the risks you and your family may face can help you find ways to avoid health problems.

Health risk can be defined as the chance or likelihood that something will harm or otherwise affect your health. health risk is something that increases your chance of developing a disease.

The main health risk are :

Therefore knowing the risks and benefits of a medical treatment can help you and your doctor make informed decisions and It can also keep you from fretting over unlikely threats.

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Answer: Fusion

Explanation:

This is the process when two atoms collide and combine to make a bigger atom.

The force required to tip the cube is equal to the coefficient of static friction times the weight of the cube.

fx=μs * 87 kg * 9.8 m/s^2

Generally, The cube will start to tip when the net torque about the point of contact between the cube and the floor is equal to zero. The torque is given by:

torque = force x distance from axis of rotation

The distance from the axis of rotation is half the edge length of the cube (0.475m), and the force is the force applied by the person (). Therefore, the torque is:

torque = fx x 0.475

For the cube to tip, the torque due to the person's force must be greater than the maximum torque the friction can provide, which is the friction force times the distance from the axis of rotation.

The maximum torque provided by friction is:

friction torque = friction force x 0.475

Since the friction force is equal to the normal force (mg) multiplied by the coefficient of static friction (μs), the maximum torque provided by friction is:

friction torque = μs * mg * 0.475

where m is the mass of the cube, g is the acceleration due to gravity and μs is the coefficient of static friction between the cube and the floor.

So, we can find the force needed to tip the cube by equating the torque due to the force with that of the friction torque.

Fx*0.475 = μs * m * g * 0.475

Fx= μs * m * g

Fx= μs * 87 kg * 9.8 m/s^2

Note: The coefficient of static friction (μs) is a dimensionless quantity between 0 and 1, it varies depending on the surfaces in contact.

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Orion can be seen from most places in the world at some point during the year but is not seen from the same place all year long because the earth orbits the sun which result in changes in the night view.

This is referred to as a prominent constellation located on the celestial equator and visible throughout the world ans it is the most conspicuous in the night sky.

This is therefore the reason why it can be seen from most places in the world at some point during the year. During some periods, it is not seen from the same place all year long because the earth orbits the sun which result in changes in the night view and hinders people from seeing it.

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The formula for magnetic field is  B = μo(H + M).

The magnetic field of a magnet is the area around it in which a magnetic force is exerted. It is represented by the symbol B and follows the equation B = μo(H + M).

Here, μo is the permeability of free space, H is the magnetic field intensity and M is the magnetization.

The magnetic field can be measured by a variety of instruments such as a Hall probe or a flux meter. It can also be calculated using mathematical models such as the Biot-Savart law or Ampère's law.

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The Taylorsville Volunteer Organization participating in the community is the subject of a key motion.

The motion of an object is the change in its position over time. It can be measured in speed, velocity, and acceleration. Speed is how fast an object is moving, velocity is speed in a particular direction, and acceleration is the rate of change of velocity. Motion can be linear, circular, or oscillatory. Linear motion is the movement of an object in a straight line, circular motion is the movement of an object in a circle, and oscillatory motion is the movement of an object back and forth. Motion can also be described in terms of forces like gravity, friction, and momentum.

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This question discusses circular motion. Circular motion is the motion of an object that forms a circular path around a fixed point. An object moving in a circle needs a force that always deflects it toward the center of the circular path. This force is called the centripetal force.

Horizontal equilibrium T sinθ = m x v²/r

r = D/2 = 10.8/2 = 5.4 m

From the above two equations, mg tanθ = m x v²/r

but from the figure

r = L sinθ + 5.4 m

r = (2.85 x sin38.2 + 5.4)

r = (2.85 x 0.6184 + 5.4) = 7.1 m

So,

v² = g x tanθ x r

v² = 9.8 x tan38.2 x 7.1

v² = 9.8 x 0.78 x 7.1

v  = √54.27

v  = 7.36m/s

The speed of each seat is 7.36m/s.

If a child of mass 36.8 kg sits in a seat:

Tenson T = mv²/r

T = 36.8 x 7.36²/(7.1)

T = 280 N

So, the chain tension is 280 N.

Writing the right questions:

An amusement park ride consists of a rotating circular platform 10.8 m in diameter from which 10 kg seats are suspended at the end of 2.85 m massless chains. When the system rotates, the chains make an angle of 38.2◦ with the vertical. The acceleration of gravity is 9.8 m/s.

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The work done by the system is -2.655KJ. This states that the system performs 2.655KJ of work on the surroundings. Thus, the correct option is D.

Work done is defined as the product of force and the distance over which the force is applied on the object. Work is done when a force is applied to an object and the object experiences motion through a distance.

Given that the work is done on the surrounding, i.e., the work is done by the system and the heat is absorbed by the system.

Therefore,

ΔU = -5.155KJ

q = 2500J = 2.5KJ

Now from first law of thermodynamics,

ΔU = q + w

-5.155 = 2.500 + w = -2.655KJ

w = -2.655KJ

Hence the work done is -2.655kJ.

Therefore, the system performs 2.655KJ of work on the surroundings. The correct option is D.

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The radius of a circle is increasing at constant rate of 0.4 meters per second The rate of increase in the area of the circle at the instant when the circumference of the circle is 60π m is 24 π sec. The correct answer is B.

A circle's radius grows at a constant rate of 0.2 m/sec.

The circle's immediate circumference is m.

We are aware of what the circle's area is.

A =π r²

Compare equation with regard to time t.

dA/dt = 2π r dr/dt

while dr/ dt = 0. 2m/ sec

so

dA/dt = 0.8 π r

The circle's circumference is also known to be,

C= 2π r

60π = 2π r

r = 30

Now put the value r in equation

dA/dt = 0.8 π r

dA/dt = 0.8 π 30

dA/dt = 24 π

Your question is incomplete but most probably your full question was

The radius of a circle is increasing at constant rate of 0.4 meters per second What is the rate of increase in the area of the circle at the instant when the circumference is 60π ? m"

(A) 0.24 π sec (B) 24 π sec (C) 247π sec (D) 30π sec (e)240π sec

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Answer:

[tex]\huge\boxed{\sf I = 50,000\ Ns}[/tex]

Explanation:

Force = F = 100,000 N

Time = t = 0.5 s

Impulse = I = ?

I = F × t

I = 100,000 × 0.5

I = 50,000 Ns

[tex]\rule[225]{225}{2}[/tex]

Answer: 4m/s2 ✅

Explanation: A vehicle started from rest and its velocity reached 20m/s after 5 seconds. To calculate the acceleration, we can use the formula: acceleration = (change in velocity) / (change in time).

The change in velocity is 20m/s - 0m/s = 20m/s (the final velocity minus the initial velocity)

The change in time is 5 seconds (the time it takes for the velocity to change)

So the acceleration of the vehicle is (20m/s) / (5s) = 4m/s2✅

Answer: The acceleration of the car starting from rest is 4 m/s^2✅

Explanation:

It is an exercise of uniformly varied rectilinear movement.

What will be the acceleration, if a vehicle started from rest and its velocity reached 20 m/s after 5 second?

Data:

a = acceleration = ?

Vo = initial speed = 0

Vf = Final speed = 20 m/s

t = time = 5 s

The formula to calculate the acceleration is a = (Vf - Vo)/t, but it tells us that the car starts from rest, that is, it has no initial velocity, we clear the formula and we are left:

   a = Vf/t

   a = (20 m/s)/5 s

   a = 4 m/s²

The acceleration of the car starting from rest is 4 m/s^2✅.

Hey there!

Answer:

9.4 million kilometers (km) converted to light years would be 9.93580784e-7 I believe.

Hope this helps!

For a rectangular prism, the expression volume is calculated as V = l ⋅ w ⋅ h , where l is the length, w is the width, and h is the height of the rectangular prism.

It is much simpler to calculate the surface area and volume of a rectangular prism once it is understood that this type of prism is composed of some sets of identical forms.

The volume of a rectangular prism may be calculated by multiplying its length by its breadth by its height. The surface area of a rectangular prism can be calculated by adding the areas of each of its sides.

If you are familiar with the formulas for the surface area and volume of a rectangular prism, it will be much simpler for you to deal with different geometric shapes.

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The total distance that block travel is 4 A.

In one full complete cycle of a motion. The block will move back and forth from its original position. Because of the block is pulled to the position x = A, we can say the initial distance travelled = A. When the block is released from the others after being pulled. The cycle = A + A + A = 3A. To hit one full cycle of its motion, the block has to travel, so,

the total distance = 3A + A = 4A

Hence, it is confirm that the total distance the block travel is 4A

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Compared to traditional fuels, this energy source is more environmentally benign. a supply of clean energy.

With continued industry research and development, there will be more geothermal resources that can be used for energy production. a sustainable source of energy since, unlike wind and solar, it is constantly available. No fuel is necessary.

The fact that geothermal energy is location-specific is its biggest drawback. Digging causes the discharge of gases into the atmosphere. Earthquakes may be sparked by geothermal energy. High upfront expenses of $2 to $7 million for a plant with a 1-megawatt capacity make this resource expensive to use. No fuel is necessary.

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A protective device such as an egg carton, foam padding, or bubble wrap can be used to minimize the magnitude of the net force acting on an egg in a cart during a collision by providing cushioning some of the impact.

What is magnitude?
Magnitude refers to the size or scale of an object, event, or phenomenon. It is typically used to describe the intensity or amplitude of a physical quantity, such as the strength of an earthquake or the brightness of a star. Magnitude is also used to quantify the size of a population, the severity of an economic downturn, or the power of a political movement. Magnitude is usually expressed as a numerical value, such as a number on a Richter scale or a magnitude rating on a star catalog. Magnitude can also be expressed in terms of a relative or subjective scale, such as a rating of “strong” or “weak” for an earthquake. Magnitude is often used in scientific research to quantify the size of a phenomenon, such as the magnitude of climate change or the magnitude of a new medical breakthrough.

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Since the component of your velocity along the road decreased slightly as there was a component across the road when you changed lanes, the distance increased.

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The shopping car is traveling  with speed of  13.40 m/s after that point.

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Due to having both direction and magnitude, it is a vector quantity.

Acceleration of the cart = 23 Newton/10 kg = 2.3 m/s²

Hence, Final speed of the cart after traveling 39 m is = √(2 ×2.3 ×39) m/s

= 13.40 m/s.

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The major academic purposes of homework are to help children: —review and practice what they have learned, get ready for the next day's class .

What is an academic person?

An academic is a person who holds a teaching and/or research position at an institution of higher education such as a university, academy, college, seminary, conservatory or institute of technology. The following are examples and counterexamples of who is typically considered an academic.

What means academic education?

Academic education is research-based and consists of academic bachelor's and master's programmes. For academic bachelor's programmes, the main aim is for students to continue their studies in a master's programme. Academic master's programmes are academically oriented but can also include a professional orientation.

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The potential energy (Ep) is 490 J and the velocity is 9.9  m/s.

To calculate the potential energy (Ep) of an object with mass M at a height h above a reference point, you can use the formula:

Ep = M * g * h

where,

g =the acceleration due to gravity (approximately 9.8 m/s² on the surface of the Earth).

M = mass

h = height

For this case:

Ep = 10 kg * 9.8 m/s² * 5 m

Ep = 490 J

To calculate the velocity (v) of an object in free fall, you can use the formula:

v = [tex]\sqrt{2gh}[/tex]

So in this case:

v = [tex]\sqrt{2 * 9.8 m/s^{2} * 5 m }[/tex]

v = 9.899 m/s

v ≈ 9.9 m/s

Note: These formulas assume that the object is in free fall and that there is no air resistance or other forces acting on the object.

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The potential energy of the rock of mass 20000 kg is 1528800000 J.

Potential energy is the energy of a body due to the position of the body in the gravitational field.

To calculate the potential energy of the rock, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the potential energy of the rock is 1528800000 J.

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Ice crystals that form by accretion are fairly large, they fall slowly because of there high surface area to volume ratio, which cause high air resistance.

Ice crystals that form by accretion are large and have a high surface area to volume ratio. This high surface area causes more air resistance, which slows their fall. The larger the surface area, the more air resistance there is, and the slower the crystals fall. Additionally, the shape of the crystals can also affect their fall speed, with more irregular shapes experiencing more air resistance and thus falling slower. Ice crystals are the building blocks of snowflakes and have a well-defined and ordered internal structure. The structure of an ice crystal depends on the conditions under which it forms, such as temperature and humidity. At very cold temperatures, the crystals are usually simple hexagonal structures, while more complex branching structures can form at warmer temperatures.

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Disadvantages of renewable energy

Renewable energy has many benefits, but it’s not always sunny when it comes to renewable energy. Here are some cons of renewable energy when compared to traditional fuel sources:

The increasing use of energy sources makes people to find other options than the current energy sources. The types of renewable energy are as follows.

This type of energy comes from the process of capturing solar radiation or sunlight, then converting it into electricity, heat, or hot water. To get electricity, the sun's heat will be absorbed using solar panels (solar panels) and then convert it into electricity.

Wind is moving air. Wind has long been used as a source of energy. For example in the Netherlands, the wind is used to drive a pinwheel. This kincie serves as a source of grain processing equipment. Currently, electricity is also able to generate electricity by utilizing turbines. This turbine is used to drive a generator that generates electricity.

This energy is obtained from the results of the tides. It is known, this type of energy is also used on the east coast of America and Europe. The turbines installed on the waterfront help convert energy from the tides into mechanical energy to grind grain.

This type of energy is used to generate electricity. It's just that developing wave energy requires infrastructure with a relatively high cost.

Sea water has a temperature difference where the inside of the sea water feels cold and the surface of the sea water feels hot because it is exposed to sunlight. This temperature difference is used to generate electrical energy using advanced technology.

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