A hoop of radius 0.06m starts from rest and rolls down a slope without sliding. find its linear and angular speed when it reaches sa point of 0.50m vertically lower than the starting point

Answers

Answer 1

The linear speed is √5 m/s and the angular speed is √5/0.06 rad/s.

We need to know about the conservation of energy to solve this problem. The energy can not be created or destroyed, the only way is to change to another form. It can be written as

Ei = Ef

where Ei is initial energy and Ef is the final energy

From the question above, we know that

R = 0.06 m

h = 0.5 m

The playground slide is converting the potential energy from height to kinetic energy. Hence,

Ei = Ef

PE = KE trans + KE rot

m . g  . h = 1/2 . m . v² + 1/2 I . ώ²

m . 10  . 0.5 = 1/2 . m . v² + 1/2 m.R² . ώ²

5 = 1/2(v² + R² . ώ²)

10 = (v² + R² . v²/R²)

2v² = 10

v = √5 m/s

v = ώ . R

√5 = ώ . 0.06

√5 = ώ . 0.06

ώ = √5/0.06 rad/s

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Related Questions

Use the​ slope-intercept form to graph the equation y= -8/7x + 3

Answers

Answer:

8x + 7y = 21

Explanation:

-8/7x + 3 in slope intercept form is 8x + 7y

Graph in pic

julia jumps straight upward on mars, where the acceleration due to gravity is 3.7\,\dfrac{\text{m}}{\text{s}^2}3.7 s 2 m ​ 3, point, 7, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction downward. after 3\,\text{s}3s3, start text, s, end text, julia is falling downward with a velocity of 3.1\,\dfrac{\text{m}}{\text{s}}3.1 s m ​ 3, point, 1, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. assuming air resistance is negligible, what was the initial vertical velocity of julia's jump? answer using a coordinate system where upward is positive. \dfrac{\text m}{{\text s}} s m ​

Answers

The initial velocity of Julia's jump in the vertical direction is 8 m/s.

What was the initial vertical velocity of Julia's jump?

The initial vertical velocity of Julia's jump is determined using the given parameters and the relevant equation of motion.

The given parameters in Julia's jump are as follows:

Taken upward direction as positive;

Acceleration due to gravity (upward direction against gravity) = -3.7 m/s²

Time, t = 3 s

Final velocity, v (downward direction) = -3.1 m/s

Initial velocity, u = ?

Using the equation: v = u + at

u = v - at

u = -3.1 - (-3.7 * 3)

u = 8 m/s

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On the periodic table, gold has the atomic number 79. This means that

A. an atom of gold has 79 protons and electrons combined.

B. gold can be found in 79 isotopes.

C. gold was the 79th element discovered.

D. an atom of gold has 79 protons.

Answers

Answer:

Option D is correct.

Explanation:

Atomic number of an element represent the number of protons present in its nucleus.

So, option D will be correct.

Answer: An atom of gold has 79 protons in its nucleus, or, in your case, C.

Explanation: The atomic number of an atom is the number of protons in the nucleus of an atom.

(I'm not entirely sure if this is clear enough, sorry!)

An A. C is supply is
Connected accross a Capacitor
of 5 nf R=50_n in series at 50ttz find the;
Capacity rectance
Pedance
Supply Current
Vortage a cross the capacity

Answers

Answer:

d

Explanation:

Energy of an object in motion is _____.
1.thermal energy
2.temperature
3.kinetic energy
4.potential energy

Answers

Answer:

3.kinetic energy

Explanation:

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

What element is shown below?

Answers

B or Boron because all you have to see it how many protons and electrons the element has

When a car reaches a stop at the top of a hill, kinetic energy is transforms into what energy?

Answers

Answer:

to potentialenergy

explanation :a potential energy is stored energy or it oesn't get in moving body

a 74-kg base runner begins his slide into second base when he is moving at a speed of 4.8 m/s. the coefficient of friction between his clothes and earth is 0.70. he slides so that his speed is zero just as he reaches the base.

Answers

The work energy of speed is

1304.2 .

What is work energy?

work energy is the most fundamental quantity of physics . Work is said to be done when a force applied to an object cause a displacement of a object.

Solution -

As per the given-

Mass of runner m = 74kg

Initial velocity of runner u=4.8 m/s

Final velocity of runner v =0

Coefficient of friction ¥=0.7

Let's d be the distance moved by runner till the stop.

a- mechanical energy lost due to friction

As friction does negetive work causing the runner to stop.

As we know,

Mechanical energy lost= Kinetic energy of runner

Mechanical energy lost =

1/2 mv^2 = 1/2 ×74×4.8^2=852.2

Distance move by runner-

Work done by friction = mechanical energy lost

-¥×mg×d =852.2 j

-0.7×74×9.8×d = -491.2

Solving the equation we get

1304.2.

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An engineer wants to calculate how high a rocket starting from rest will be when it
reaches a velocity of 6,500.0 m/s with an acceleration of 389.00 m/s How the rocket be when it meets these conditions?

Answers

A moving object's speed and direction vary over time at a certain rate, which is known as acceleration. The term "acceleration" refers to the change in speed of a point or object along a straight line. Due to the constant change in direction, motion on a circle accelerates even while the speed is constant.

Velocity is measured by a specific unit of time and from a specific point of view, and it describes the rate at which an object's orientation changes while it is moving.

The term "Distance Traveled" describes how far an object has travelled during a specified amount of time to get to its destination. Or The path that a body takes to travel a specific distance at a certain speed from one location to another is known as the distance travelled.

Using,

Avg. acceleration (a) = (final velocity - initial velocity(v_i)) / time (t)

time = 6500 / 389 = 16.71 sec

Now, the following equation can be used to determine distance from acceleration: D = v*t + 1/2*a*t². where an is the acceleration, t is the passage of time, and v is the velocity.

D = distance travelled = 54309 m

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3) A stone is dropped into a well that is 57.0m deep. The stone accelerates due to gravity, at 9.81 m/s^2. Determine the time it takes for the stone to hit the bottom.

Answers

The time of motion of the stone when it hits the bottom is 3.41 seconds.

What is time of motion?

The time of motion is the time taken for an object travel form its initial position to final position.

The time taken for the stone dropped from the given height to hit the bottom of the well is calculated as follows;

h = vt + ¹/₂gt²

where;

v is the initial velocity of the stone = 0t is the time of motion of the stoneh is height of fall

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

t = √(2 x 57 / 9.81)

t = 3.41 seconds

Thus, we can conclude that when the stone is dropped, it takes more than 3 seconds to hit the bottom of the well.

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15. How far will a rolling ball be if it moves with an average velocity of 5m/s after 12s?

Answers

The answer is 60 meters.
The formula for distance is speed x time so 5m/s x 12 sec is 60 meters

Listen
If the displacement of a person from their desk is 27 m, 17° S of W, how far west are
they from their desk?

Answers

If the displacement of a person from their desk is 25.92 m if 27 m, 17° S of W, they are west from desk.

Resolving the 27 m distance into its horizontal and vertical components. The horizontal component will describe how far west they are and the vertical component will describe how far south they are. After resolving the components make a right angled triangle.

cos θ = Adjacent side / Hypotenuse

θ = 17°

Adjacent side = Horizontal component

Hypotenuse = 27 m

cos 17° = West distance / 27

West distance = 0.96 * 27

West distance = 25.92 m

In a right angled triangle some of the ratios similar to the one used above can be used. These ratios are called as trigonometric ratios. These ratios use trigonometric functions and relate them to sides of a right angled triangle.

Therefore, they are 25.92 m west from the desk.

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at what times t is the turtle a distance of 10.0 cm from its starting point? what is the velocity (magnitude and direction) of the turtle at each of those times?

Answers

hmmm c? ig djdkdnntieknf

Albert bandura conducted an important experiment with pre-school aged children. one reason this study is important in 2014 is: group of answer choices children imitated an adult lab assistants behavior children are quite capable of violence children can imitate adult behavior and behavior that is observed, so does media impact violent behavior? some children spend much time watching adults in our world. children should be protected from all violent scenes

Answers

Answer:

children spend much time watching adults in our world. children should be protected from all violent scenes

Explanation:

Are acts of violence and aggression taught behaviours? Albert Bandura and his colleagues established one method that kids pick up violence in the well-known and significant "Bobo doll experiment."

According to Bandura's social learning theory, learning happens through interactions with other people and observations of the world around us. In essence, people pick up new skills by observing others and then copying their behaviour.

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Yes, all violent scenes should be kept out of children. This experiment is also known as the Bobo Doll Experiment from the perspective of Albert Bandura. Which Discloses Aggression Among Children.

Numerous social evils, such as war and intergroup violence, are caused by aggression. It should come as no surprise that the topic is one of psychology's most researched areas. Most of the research on human aggression has been conducted by researchers in the discipline of social psychology, which is devoted to the study of interpersonal communication and group dynamics.

Albert Bandura's studies on children's behaviour after seeing an adult were collectively known as the "Bobo doll experiment" and were conducted between 1961 and 1963.

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The application of scientific knowledge to benefit people is….?

Answers

The application of scientific knowledge to benefit people is referred to as technology.

What is Technology?

This is referred to as the different ways in which scientific knowledge is applied so as to improve the living conditions and to ensure the practical aims of individuals are achieved.

Technology such as the invention of vehicles made it easier for the movement of goods and people from one place to another.It helped reduce stress and ensured that emergency situations were promptly attended to. It employed scientific knowledge such as motion, inertia etc in the design and production of it.

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the x component of vector a is 8.7 units, and its y component is -6.5 units. the magnitude of a is closest to group of answer choices 12 units 7.9 units 9.9 units 8.9 units 11 units

Answers

The x component of vector a is 8.7 units, and its y component is -6.5 units. the magnitude result is 11 units.

"How much of a quantity" is how the word "magnitude" is defined. The magnitude, for instance, can be used to describe a comparison of the speeds of a car and a bicycle. Additionally, it can be used to describe how far an object has travelled or how much of an object is represented by its magnitude.

In physics, magnitude is referred to as an object's maximal size and direction. Both vector and scalar values use magnitude as a component factor. We know that scalar quantities are those that have magnitude and nothing else by definition. Contrarily, vector quantities are those with both magnitude and direction.

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During Piaget's sensorimotor stage, children acquire a
1) theory of mind.
2) concept of conservation.
3) sense of object permanence.
4) capacity for abstract reasoning.

Answers

According to the research, the correct option is 3. During Piaget's sensorimotor stage, children acquire a sense of object permanence.

What is Piaget's sensorimotor stage?

In Piaget's theory, it is the phase during which children know the world, mainly based on their sensory impressions and their motor activities.

In this sense, it extends from birth to about age two where they acquire object permanence, that is, children learn that objects are separate and distinct entities, having an existence of their own outside of their individual perception.

Therefore, we can conclude that the sensorimotor period is a phase of cognitive growth in children that forms object permanence, thus the correct option is 3.

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What is force?
A. A measure of how far an object moves
B. The amount of energy an object has
C. A push or a pull that transfers energy from one object to another
D. The rate at which an object's speed increases

Answers

Force is a push or a pull that transfers energy from one object to another object in the time period under consideration.

What is force and how it is a pull or push?Force is when we try to pull an object , we exert a drawing force on the body in expectation of body drew.Force is again when we push an object , and try to move it away from our body in order to keep that object in place.Force is a quantity discovered by Newton and for the very same reason the unit of force was considered to be Newton.There are numerous kind of forces like rotational force, centripetal force, electromagnetic force etc. with significant uses.Force have a great importance in day to day life in order to keep the thing moving we keep on forcing the object to displace.

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two circular disks spaced 0.50 mm apart form a parallel-plate capacitor. transferring 4.50×109 electrons from one disk to the other causes the electric field strength to be 4.00×105 n/c.

Answers

The diameter of the disk at the given electrons is 6.9 mm.

The total charge of the capacitor is calculated as:

Q = nq

Q = 4.50×10⁹×1.6×10⁻¹⁹

Q = 7.2×10⁻¹⁰ C

The potential difference between the disk is:

V = Ed

v = 4 ×10⁵×0.50×10⁻³

V = 200 V

The capacitance of the capacitor is :

C = Q/V

C = 7.2×10⁻¹⁰/200

C = 7.2×10⁻¹² F

The area of the disk is :

C = (∈₀A)/d

A = (Cd)/∈₀

A = (7.2×10⁻¹²×0.5×10⁻³)/8.85×10⁻¹²

A = 0.0000406 [tex]m^{2}[/tex]

The diameter of disk is :

A = (πd²)/4

d = [tex]\sqrt{4A}[/tex]/π

d = [tex]\sqrt{4X0.0000406}[/tex]/π

d = 0.0069 m

d = 6.9 mm

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Research the neutral needs of a 30 year old me a long distance runner who weighs 140 pounds and has body fat percentage of 20%

Answers

Answer: Male 1:30-year-old male, long-distance runner who weighs 140 lbs. and has a body fatpercentage of 20 percent. He is 5’10” tall.

Male 2:30-year-old male, works a desk job all day. He is sedentary and the onlyexercise he gets is a short walk once a week. He weighs 190 lbs. and his body fatpercentage is 30 percent. He is also 5’10” tall.

Based on your research, use your best judgment to estimate the following nutritional

Explanation: hoped this helped?

Answer:

70

Explanation:

140divided by 30 is 70

if the object's initial velocity is 0 m/s, what is the acceleration of an object at t=8 s?

Answers

The rate of acceleration is =11.25ms−2

The initial velocity is u=0ms−1

The final velocity is v=90ms−1

The time is t=8s

The acceleration is

a=v−ut= 90ms−2

How do you determine an object's acceleration?

The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When an item's mass and the net force acting on it are known, the acceleration of that object can be calculated using this equation for acceleration.

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in metres per second squared.

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A cliff diver pushes off horizontally from a cliff and lands in the ocean 2.00s later. How fast was he going when he entered the water?
0m/s
19.0m/s
19.6m/s
20.0m/s

Answers

The velocity of the diver upon entering the water is 19.6m/s.

What is the landing speed?

We know that in this case, the motion of the diver as he or she pushes down into  the water can be obtained from the equation of the motion of an object that is undergoing kinematics in a gravitational filed.

Given that the diver was stationary before diving this implies that the initial velocity is zero and that the final velocity is the velocity with which the diver lands inside the water.

Thus;

v = u + gt

u = 0 m/s

v = gt

v = 9.8 m/s^2 * 2 s

v = 19.6m/s

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what is the temperature of a two-level system of energy separation equivalent to 300 cm−1 when the population of the upper state is one-half that of the lower state?

Answers

The temperature of a two-level system of energy separation equivalent to 300 cm−1 then the population of the upper state is one-half that of the lower state is 623.6K.

Two-level systems, or systems that effectively have just two energy levels, are an important class of systems because at sufficiently low temperatures, just the two lowest energy levels will be active. Solids are particularly significant because they contain two different energy levels for each atom, depending on whether the electron is spinning up or down. We take into account a collection of N distinct "atoms" with two distinct energy levels. Despite the fact that the atoms in a solid are identical, we can nevertheless identify them because they are situated in certain areas of the crystal lattice. These two's dynamism the levels are 0 and 1. The partition function of an atom is simple to express in writing.

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at which lettered point or points is the object speeding up? check all that apply. at which lettered point or points is the object speeding up?check all that apply. aa bb cc none submitrequest answer part b at which lettered point or points is the object slowing down? check all that apply.

Answers

The object is speeding up at point D and next the speed picks up at point C.

How to check the speed of the object?We have a time-position graph in front of us with a few points marked on it that we ought to investigate. The location where the curve's steepest slope is located is where the object is going the fastest.The point is D in this instance.Keep in mind that the graph changes to the right; therefore, if the right side is higher than the left side at any point, the item is traveling to the left (negative x-axis) at that precise moment. In this case, the points are C, D, and E.The item accelerates when the curve's curvature changes and the slope rises; for instance, from B onwards, the acceleration increases.Next, the speed picks up at point C. The inverse of what we just said is true: if the slope declines, the object slows down.In this instance, it is clear that the slope steepens after A and after E.When is the object reversing?It's simple to understand that the item moves to the right (positive x-axis) until it reaches point B, at which point it flips around.

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three forces, a, b, and c, are acting on the same object with magnitudes a, b, and c, respectively. force a acts to the right, force b acts to the left, and force c acts downward. what is a necessary condition for the object to move straight down?

Answers

The necessary condition for the object to move straight down is the magnitude of force C must be greater than the magnitude of forces A or B, so A < C > B.

Here's the complete question:

Three forces, A, B, and C, are acting on the same object with magnitudes a, b, and c, respectively. Force A acts to the right, force B acts to the left, and force C acts downward. What is a necessary condition for the object to move straight down?

A. The magnitude of force A must be greater than the magnitude of force C, so A > C.

B. The magnitude of force A must be greater than the magnitude of force B, so a > b.

C. The magnitude of force A must be equal to the magnitude of force B, so a = b.

D. The magnitude of force C must be greater than the magnitude of forces A or B, so A < C > B.

Three forces, A, B, and C, are acting on the same object with magnitudes a, b, and c, respectively. Force A acts to the right, force B acts to the left, and force C acts downward.

The force C must be greater than the two forces A and B acting on the right and left side of an object because the resultant of the force will move the object downward if the force at C will be greater then the other two forces.

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Who did experiments with light , known as the double-slit experiments, to produce interference patterns that could only be explained by evoking a wave-like nature for light?.

Answers

Thomas Young did experiments with light, known as the double-slit experiments, to produce interference patterns that could only be explained by evoking a wave-like nature for light.

Before the nineteenth century, the wave-like properties of light were not known. They got to know that light behaved like a wave thanks to Thomas Young's double slit experiment which he performed in the early 1800s.

Thomas Young made use of a light source (probably sunlight), barriers with one or two slits, and a screen for observation. First, he allowed light to pass through a slit in the barrier. Due to diffraction, the light that passed through the slit spread out into wave fronts, with the slit becoming the new light source. Another barrier with two slits was then put after the first one, just at the right distance, As expected the light from the first barrier passed through the two slits on the second barrier. The observation screen was placed after the second barrier.

There were two possible results from this experiment. One was that the sum of the intensity of light from each slit will give the intensity of both slits. In this case, light would be a particle. The second possible result was that dark and light bands will be created on the observation screen due to the interference patterns made by the superposition of light. In this case, light would be a wave.

At the end of the experiment, interference patterns were observed on the screen, which showed that light travelled in waves. Hence, Thomas Young's double slit experiment showed the wave-like nature of light.

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can someone please help me with this

Answers

The number of products formed in the reaction is one (1).

What is the product of a chemical reaction?

The product of a chemical reaction is the end result of a chemical reaction formed as a result of chemical activity.

The number of products formed during reaction of oxygen and iron metal is given as follows;

metal + oxygen → metal oxide.

4Fe + 3O₂ → 2Fe₂O₃

where;

4Fe is reactant3O₂ is reactantFe₂O₃ is product

This reaction (oxygen and iron metal) is popularly known as rusting, resulting in the formation of iron oxide.

Thus, we can conclude that rusting of iron metal forms one product.

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robots use cameras, microphones, and other sensors as inputs; outputs can be as complex as exploring damaged nuclear reactors to as simple as taking a photo.

Answers

Robots use cameras, microphones, and other sensors as inputs; outputs can be as complex as exploring damaged nuclear reactors to as simple as taking a photo.

What is a Robot?

This is referred to as a machine which in most cases resembles a human being and it is involved in the execution of complex tasks in an automated manner such as lifting an object etc.It is usually controlled using a computer and employs the use of input devices such as cameras, microphones etc which ensures adequate and an easy execution of the tasks.

The output is also usually complex and the comparison is with that of a damaged nuclear reactors and this technological innovation has been useful in different facets of life due to the ease of performing activities it brings.

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The question is:

The functions of robots, cameras, microphones, and other sensors as inputs include:

if length of a wire is doubled keeping the diameter constant ,its young modulus of elasticity will?
i) increases
ii)decreases
iii)remains same
iv)depends on nature of matter

Answers

Answer:

Explanation:

Young's modulus is the property of the material and it does not depend upon the length or the area of the cross-section.
Hence, The most correct answer will be option (iii) but youngs modulus also depends upon the nature of the matter if you have to answer multiple option then (iii) and (iv) both are correct. If you have to answer only single option then go for option (iii).

If 10 KJ of thermal energy is added to the system and 10 KJ of work is done by the system, what happens to the internal energy?

Answers

Given :

Thermal energy = 10 KJ Work done = 10 KJ

Solution :

We need to calculate the internal energy of the system i.e., ΔU.

Thermal energy (ΔQ) = 10 KJ

We know that,

ΔU = ΔQ - ΔW

>> ΔU = (10 - 10) KJ

>> ΔU = 0

Therefore,

Change in internal energy of system is zero.

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