A box of books weighing 315 N is shoved across the floor by a force of 477 N exerted downward at an angle of 35° below the horizontal. If the coefficient of kinetic friction between the box and the floor is 0.58, how long does it take to move the box 4.20 m starting from rest?

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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At the base of the cliff, a boulder falls into the water, transferring all of its kinetic energy to the ocean. The cliff must be 14.6 meters high.

Kinetic energy, which may be seen in the movement of an item or subatomic particle, has been the energy of motion. Example of angular momentum in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a chargeable particle inside of an electric field.

mass of rock m_r = 3.0Kg

mass of water is m_w = 1.0Kg

temperature variation ΔT= 0.10°C

heat of water C_W = 4186 J/Kg °C

gravity g=9.8 m/sec^2

the expression for height,

mrgh = K

h = K/(mrg)

Evaluating numerically.

h = K / (mr g)

h = (418.6 J)/(3.2Kg⋅9.8 m/sec^2 )

h = 14.6 m

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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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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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Hey there!

Answer:

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

Hope this helps!

The image of your face will be located 66.5 cm behind the front surface of the Christmas tree ball.

Surface is the outer layer of a physical object, such as a planet or a star. It is also the top layer of an object, such as the ground or a body of water. Surface can refer to the interface between two objects, such as the atmosphere and the ocean, or the interface between two materials, such as the air and the ground. The term can also refer to the top layer of a material, such as the skin of a human or the bark of a tree. In some cases, surface can refer to the way a material or object looks or feels, such as the smoothness of a rock or the texture of a fabric.

This is because of the principles of spherical mirrors; the image is located twice the distance behind the mirror as the object is in front of it. Therefore, the distance between your face and the image of your face is 58.0 cm (29.0 cm + 66.5 cm). The answer is expressed to two significant figures, and the appropriate units are included.

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The force applied to the car of mass 1560 kg is 1365 N.

Force is the product of mass and acceleration.

To calculate the force applied to the car, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force applied is 1365 N.

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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.

Answer:

A variable amount of current travels through each parallel branch of the circuit in a parallel circuit. Each component in a series circuit has a separate voltage across it. The same voltage is present across all of the circuit's components in a parallel circuit, though.

Explanation:

Answer:

An experiment to investigate the relationship between efficiency and load using a block and tackle pulley system could be set up as follows:

1.Set up a block and tackle pulley system, with a fixed pulley at the top and a movable pulley at the bottom. The pulleys should be mounted on a sturdy frame, and the rope should be of a known length and thickness.

2.Attach a weight to one end of the rope, and a load cell to the other end. The load cell will measure the force applied to the rope.

3.Record the weight of the load and the force applied to the rope using the load cell.

4.Measure the distance the load is raised, and record this distance.

5.Repeat steps 3 and 4 for different loads, increasing the weight of the load in increments of, for example, 5 kg.

6.Calculate the efficiency of the pulley system for each load by dividing the work output by the work input and multiplying by 100. The efficiency of the system can be calculated as follows: Efficiency = (Work out / Work in) * 100.

7.Plot a graph of efficiency against load, and observe the relationship between the two variables.

8.Repeat the experiment with different pulley systems, such as a single pulley system and a double pulley system and compare the results.

9.Record the results and any observations and Analyze the data and make conclusions about the relationship between efficiency and load in a block and tackle pulley system.

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

According to the given statement 2.5 m/s is the final velocity of the truck.

Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.

Collision energy equals collision energy before collision

Afterward, we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

According to our estimation, the velocity is 2.5 m/s.

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According to the given statement 2.5 m/s is the final velocity of the truck.

Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.

Collision energy equals collision energy before collision

Afterward, we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

According to our estimation, the velocity is 2.5 m/s.

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The time taken for the car to decelerate is 4.5 seconds.

option B.

The acceleration of the car is calculated from Newton's second law of motion as follows;

F = ma

a = F / m

a = ( 7500 ) / ( 2250 )

a = 3.33 m/s²

The time taken for the car to slow down is calculated as follows;

v = u + at

at = v - u

t = ( v - u ) / a

where;

t = ( 20 - 5 ) / 3.33

t = 4.5 seconds

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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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A parcel is traveling on a horizontal conveyer belt moving at 1 meter/second. At the end of the conveyor belt, the parcel lands on a tray after 1 second. The horizontal distance is 1 meters and vertical distance of the tray from the end of the conveyor belt is 4.9 meters.

The conveyer belt's horizontal speed is 1 m/s.

The parcel settles on a tray at the end of the conveyor belt after 1 second. Finding the tray's horizontal and vertical distance from the conveyor belt's end is necessary.

D = v x t for horizontal distance

D= 1x1

d = 1 meter

Utilize the second equation of motion as follows for vertical distance:

s= ut+1/2gt²

Initially  vertical velocity is zero

s= ut+1/2gt²

s = 0+1/2 9.8 x(1)²

S=4.9 meters.

Therefore, the tray is 1 meters and 4.9 meters away from the end of the conveyor belt, respectively, in both the horizontal and vertical directions.

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The change in speed of the hockey pack is 10m/s.

Speed refers to the rate of motion or action, specifically the magnitude of the velocity; the rate distance is traversed in a given time.

The speed of an object can be calculated using the following formula:

F = m × (v/t)

where;

According to this question, a hockey puck (0.50 kg) is in contact with the stick for 0.2 seconds. If the force on the hockey puck is 25 N, the speed can be calculated as follows:

25 = 0.5 × (v/0.2)

25 = 2.5v

v = 10m/s

Therefore, 10m/s is the change in the speed of the hockey pack.

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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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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 kinetic energy possesed by a 1000kg go-cart that is moving at a constant speed of 23 m/s is 264,500J.

Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.

Kinetic energy of a body can be calculated using the following formula;

K.E = ½mv²

According to this question, a 1000kg go-cart is moving at a constant speed of 23m/s. The kinetic energy of the cart can be calculated as follows:

K.E. = ½ × 1000 × 23²

K.E. = 500 × 529

K.E. = 264,500J

Therefore, 264,500J is the kinetic energy of the go-cart.

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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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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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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: Fusion

Explanation:

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

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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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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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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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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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 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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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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