An example of conservation of angular momentum is jumping on a Merry-Go-Round. Watch this video (it starts part way through but the only thing you miss is the people pushing the Merry-Go-Round) to see someone jumping on a Merry-Gr-Round in motion like this problem. You can model the Merry-Go-Round as a solid disk with a radius of 2.70 m and a mass of 77.0 kg. Initially the Merry-Go-Round has an angular velocity 7.40 radians / second. Then the person jumps on and change the Moment of Inertia of the system. The person lands on the outer edge of the Merry-Go-Round and has a mass of 58.0 kg. What is the final angular velocity of the system after the person jumps on

Answers

Answer 1

Answer:

ωf = 2.95 rad/sec

Explanation:

Assuming no external torques acting while the person jumps on, total angular momentum must be conserved.Angular momentum for a rotating rigid body can be expressed as follows:

       [tex]L = I * \omega (1)[/tex]

where I = moment of inertia regarding the rotating axis, and ω= angular velocity.Since total angular momentum must be conserved, this means that the following equality must be satisfied:

       [tex]L_{o} = L_{f} (2)[/tex]

The initial angular momentum, taking into account that the Merry-Go-Round can be modeled as solid disk, can be expressed as follows:

        [tex]L_{o} = I_{o} * \omega_{o} = \frac{1}{2}* M* R^{2}* \omega_{o} =\\ \frac{1}{2} * 77.0 kg* (2.70m)^{2}* 7.40 rad/sec = 2076.92 kg*m2*rad/sec (3)[/tex]

The final angular momentum, is just the product of the new moment of inertia times the final angular velocity.The new moment of inertia, is just the sum of the original moment of inertia I₀ and the moment of inertia due to the person that jumps on.Assuming that we can treat him as a point mass, his moment of inertia is just the product of his mass times to the distance to the axis of rotation (the radius of the Merry-Go-Round) squared.So, we can write the new moment of inertia If as follows:

       [tex]I_{f} = I_{o} +( m_{p} * R^{2}) = (\frac{1}{2} * M* R^{2}) + ( m_{p} * R^{2}) =\\ (\frac{1}{2} * 77.0 kg* (2.70m)^{2}) +( 58.0 kg * (2.70m)^{2}) = \\ 280.67 kg*m2 + 422.82 kg*m2 = \\ 703.49 kg*m2 (4)[/tex]

The final angular momentum can be written as follows:

        [tex]L_{f} = I_{f} * \omega_{f} (5)[/tex]

Since (3) and (5) must be equal each other, replacing If by its value from (4) in (5), we can solve for ωf, as follows:

       [tex]\omega_{f} = \frac{L_{o} }{I_{f}} = \frac{2076.92kg*m2*rad/sec}{703.49kg*m2} = 2.95 rad/sec (6)[/tex]


Related Questions

A model of a plane in different parts of the atmosphere uses a scale of
1:2,000. If a plane flies at an altitude of 4,000 feet, how high above ground
level is the plane in the model?
A. 8 ft
B. 1/4,000 ft
C. 4ft
0
D. 2 ft

Answers

its D, so 2ft because the 4000 into 2000 is 2, so for every 1 in the model there is 2000. so 2 in the model would be 4000.
its 2.

when the frequency of a wave decreases the what increases​

Answers

the wavelength gets longer.

Answer:

The wavelength

Explanation:

As the frequency decreases, the wavelength gets longer.

A 8 kg brick is sitting on a frictionless table. If a 60 N horizontal force is applied to the brick and it accelerates at 2 m/s2, what will be the force of friction
a.24
b.44
c.0
d.600

Answers

b. 44

"F = ma"

let F be horizontal force applied and f be friction

F - f = ma
60 - f = 8 x 2
60 - f = 16
f = 60 - 16
f = 44N

If the ambient temp. is 75 F, what is it Centigrade?

Answers

Explanation:

We know

C/5 = F -32/9C/5 = 75 -32/9C/5 = 43/9C ≈ 25°C

plz help i will sure appreciate it

Answers

The answer is D! You have it correct on the picture!

Please help as soon as possible! I will give Brainliest! I just need to know the answers to this diagram.

Answers

Hope it will help you

Kinetic and Potential energy

Answers

The main difference between potential and kinetic energy is that one is the energy of what can be and one is the energy of what is. In other words, potential energy is stationary, with stored energy to be released; kinetic energy is energy in motion, actively using energy for movement.

Question 5 (1 point)
You push a 34.2 kg box with a force to 97.7 N. At what rate will the box accelerate?
Your Answer:

Answers

Answer:

2.86 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{force}{mass} \\ [/tex]

From the question

force = 97.7 N

mass = 34.2 kg

We have

[tex]a = \frac{97.7}{34.2} = 2.856725 \\ [/tex]

We have the final answer as

2.86 m/s²

Hope this helps you

What is the Validity measures of a basketball bouncing

Answers

This study was aimed at testing the construct validity of the basketball basic motion skills test instrument (ITK GDBB). The research used descriptive method of 3 basketball experts in the city of Cimahi; 3 experts are the expert in basketball. The instrument used was the ITB GDBB developed by Silvy (2019) consisting of top passing, bottom passing, top service, bottom service, chest passing, bounding passing, overhead passing, and leading ball (dribbling). This instrument consists of 76 items that cover 4 domains in basketball, namely chest pass, overhead pass, bound pass, and dribbling. The validity method used the construct validity of different power types. For the reliability method, it used the Kuder Ricardson (KR) and Objectivity analysis. The results of the construct validity analysis of a total of 76 items show that the score is ranged from 0.67 to 1.00. The construct validity value of 71 items in the basketball game is in the high category (= 1.00), 5 items are in the sufficient category, the relativity score is ranged from 0.75 to 0.98, and the objectivity score is ranged from 0.89 to 0.95. The conclusion is that this test instrument can be used as a standardized basic motion skill test for standardized large ball games for validity in basic motion skills in basketball games for grade VII junior high school students.

Calculate Speed The 2-kg metal ball moving at a speed of 3 m/s strikes a 1-kg wooden ball that is at rest. After the collision, the speed of the metal ball is 1 m/s.
Assuming momentum is conserved, what is the speed of the wooden ball?

Answers

Answer:

53466kg.

Explanatiokn:

A block m1 rests on a surface. A second block m2 sits on top of the first block. A horizontal force F applied to the bottom block pulls both blocks at constant velocity. Here m1 = m2 = m.
(a)
What is the normal force exerted by the surface on the bottom block? (Use the following as necessary: m and g as necessary.)

Answers

Answer:

N = 2mg

Explanation:

Assuming the surface is horizontal

The surface must provide enough normal force to prevent the masses from accelerating in the vertical direction.

(a) The normal force exerted by the surface on the bottom block is N1 = 2mg.

Given that,

A block m1 rests on a surface. A second block m2 sits on top of the first block. A horizontal force F applied to the bottom block pulls both blocks at constant velocity. Here m1 = m2 = m.

Based on the above information, we can say that the N1 is 2mg.

Learn more: brainly.com/question/17429689

types of circulatiom

Answers

Systemic circulation, pulmonary circulation, and portal circulation

WHY IS NO ONE HELPING I'M BOUTTA GET REPORTED FR!!!!!!!!!!!!!!
what would happen to the weather if half of the human race just died off? would it get colder? why?

Answers

yes it would get colder because people help people learn through experiences with no one to help teach the world would be a cold lifeless place.

help me with b and d please

A 65 kg diver stands still on a tower, 100 m above the water
(a) Calculate the gravitational potential energy of the diver, relative to the height of the water. Assume the gravitational field constant is 9.8 N/kg
(b) The diver reaches the surface of the water at a speed of 14 m/s. Calculate the diver's kinetic energy
(c) Compare your answers to (a) and (b). Explain your comparison using concepts learned in this course.
Assume there is no air resistance during the dive (d) Calculate the speed of the diver 5.0 m above the water.​

Answers

Following are the solution to the given points:

Given:

[tex]\to mass(m)= 65\ kg\\\\\to h=10.0 \ m\\\\\to g=9.8 \ \frac{m}{s^2}[/tex]

To find:

gravitational potential energy(GPE)=?

kinetic energy(KE)=?

concept=?

v=?

Solution:

For point a:

[tex]\to GPE= mgh[/tex]

             [tex]= 65 \times 10 \times 9.8\\\\ = 6370 \ J\\\\[/tex]

For point b:  

[tex]\to KE=\frac{1}{2} m v^2\\\\[/tex]

           [tex]=\frac{1}{2} \times 65 \times 14^2 \\\\=\frac{1}{2} \times 65 \times 14 \times 14 \\\\= 65 \times 14 \times 7 \\\\=6370\ J\\[/tex]

For point c:

As we've seen, there really is no force acting, and the mechanic KE: GPE is used. Because legitimate is conserved. Home energy loss means GPE must be equal to KE gain.

For point d:

A diver has risen 5 feet above the surface. As a result, according to the energy conservation law:

[tex]\to U_i + K_i= U_f + K_f\\\\ \to mg \times h + 0 = mg \times \frac{h}{2} + \frac{1}{2} m v^2\\\\ \to 9.8 \times 10 = 9.8 \times 5 + \frac{v^2}{2}\\\\\to 9.8 \times 10 - 9.8 \times 5 = \frac{v^2}{2}\\\\\to \frac{v^2}{2} =9.8( 10 - 5) \\\\\to v^2 =9.8( 10 - 5) \times 2 \\\\\to v^2 =9.8\times 5 \times 2 \\\\\to v^2 =98 \\\\\to v =98\ \frac{m}{s^2} \\\\[/tex]

Learn more:

brainly.com/question/14476792

Which of the following is a true statement about computational models?
1. Computational models are more objective than humans, so computational models can be used to minimize bias.
2. Computers carry out the exact instructions you give them, whether they are the correct instructions or not.
3. Computational models, especially ones on computers with strong computational power, can fix errors in inputted equations.
4. Most computers have limits to computational power, with the exception of supercomputers.​

Answers

The true statement about computational models is: 2. Computers carry out the exact instructions you give them, whether they are the correct instructions or not.

A computational model can be defined as the systematic use of computers to simulate real-complex systems, as well as studying them through the algorithmic or mechanistic use of various fields in science such as:

Mathematics.Computer science.Physics.

A computer refers to an electronic device that is designed and developed to receive data (instructions) in raw form as an input, and then processes these data into an information (output) that is usable by an end user.

Generally, computers are designed to carry out the exact instructions an end user gives to them, whether those instructions are correct (right) or not (wrong).

Read more: https://brainly.com/question/17402566

Describe the role of oceans in the water cycle‽

Answers

Answer:

The ocean plays a key role in this vital cycle of water. The ocean holds 97% of the total water on the planet; 78% of global precipitation occurs over the ocean, and it is the source of 86% of global evaporation. ... Water evaporates from the surface of the ocean, mostly in warm, cloud-free subtropical seas.

Explanation:

Hope this helps.

The ocean holds 97% of the total water on the planet; 78% of global precipitation occurs over the ocean, and it is the source of 86% of global evaporation. .Water evaporates from the surface of the ocean, mostly in warm, cloud-free subtropical seas.

A skateboarder rolls off a horizontal ledge that is 1.32 m high and lands 1.88 m from the base of the ledge what was his initial velocity

Answers

initial velocity is 3.62 m/s

what’s 12cm in kilometers

Answers

0.00001 is the correct answer you have an amazing day

Compared to a 1-kg block of solid iron, a 2-kg block of solid iron has the same:
A. Density
B. Mass
C. Volume
D. Inertia

Answers

The Correct choice is :

Density

An 80-kilogram skier slides on waxed skis along a horizontal surface of snow at constant velocity while pushing with his poles.
What is the horizontal force pushing him forward?

Answers

Answer:

Special Relativity/Newtonian Physics

Explanation:

Well in Newtonian physics you could say your mass is pushing you down and the floor is pushing you up. But rather in Special relativity only to floor is pushing up on you.

In this theory the word inertial observer matters and proves several matters throughout science. So exploring is a huge important thing to do. A person cleaning the window falls, while doing so the person feel weightless while falling. Objects that fall down with the person would remain stationarily, relative to the person. Similar to a person in space. Far away from any large masses the person would be an inertial observer. With no acceleration the person is also not close to gravitational fields and all laws of physics in the person's reference frame. The man falling off the roof is an inertial observer too. Because of this both of the matters about the rocket man and the person falling off the roof are the same.But you would think that the person falling off the roof is accelerating. But the equivalence principle tells us wrong.

The equivalence principle has made it easy to prove both people in the  situations are inertial observers. People watching would think that he is accelerating, but he is not. But he is accelerating? The equivalence principle tells us to focus on the experience of the observer and the person feels weightless so they are an inertial observer. If a person in Space comes across a planet, the person's  rocket will start heading towards a planet. But the Space person would be oblivious. The person would not feel any acceleration. The spaceship would not sense any acceleration nor would it sense that it is turning. A person outside the spaceship may see the slight curving motion and the person inside would not notice until the instant it crashes into the planet. Explaining this is geodesics and spacetime it equally links and connects with this in an obvious and common way.

Spacetime is a model that makes 4D, it joins space and time, ‘Space-time’. Now people can say how it perfectly describes gravity with it’s queer way of curving.

But how does this happen without gravity? Space is 4D with width, breadth, height and time. There is a model called spacetime.  Einstein along with many other people visualise it as woven along with time. Space- time. It  curves by mass distribution. The person is still traveling in a straight line. Just straight through spacetime. It is traveling along the geodesics of spacetime.  This is actually quite common, it is just an object travelling straight on a curved surface. Like an airplane travels straight to get quicker to a different place. But it appears curved because obviously the Earth is curved. So if you unfolded the earth the path would be curved, but the plane  is  still traveling in a straight line. Let’s also say you and your friend were standing on the equator. You are 1000 kilometers  apart from your friend. As you move towards the north direction you would eventually meet with your friend. You are not being pushed by gravity but simple as that you are just traveling on the geodesics of Earth.  Matter tells spacetime how to curve, Spacetime tells matter how to move-John Wheeler.

The man falling off the roof was accelerating so what happens if the rocket man accelerates?

Now once the rocket man accelerates the floor accelerates into rocket man. Objects remain stationary but the floor also accelerates into the objects. The situation is just like on earth except you are not an inertial observer because you do not feel weightless. The observer inside the rocket would feel a force pushing up on the feet. Same on earth. You are accelerating in order to remain stationary. However you can not see yourself accelerating. In Newton’s rule the force of Gravity would be pushing you down and the ground pushing you up. However in special relativity gravity does not exist so it’s just the force of the ground pushing up on you. Just like the rocket accelerating. You look like you are not accelerating up but only in your frame of reference. To measure your speed of acceleration you must get an inertial observer to measure your acceleration speed. Like the man falling off the roof. Let’s say you are in the building and the man falls off the roof. To him you would appear accelerating upwards. So you have to accelerate just to stand still. Why all objects fall at the same rate is a mystery to Newtonian Physics but it is not a mystery to Special relativity because the objects are not accelerating just the floor accelerating into it.

So I hope you understand now, I think you know what I'm getting at. Might of misunderstood your question.

Energy can be transformed from one form to another. The diagram shows one such process.



Which energy transformation is represented in the diagram?

nuclear to thermal and radiant
nuclear to electrical and chemical
chemical to nuclear and radiant
chemical to electrical and nuclear

Answers

Answer:

b

Explanation:

Answer

nuclear to electrical and chemical

Explanation:

Energy can be transformed from one form to another. The diagram shows one such process.

Which energy transformation is represented in the diagram?

nuclear to thermal and radiant

nuclear to electrical and chemical

chemical to nuclear and radiant

chemical to electrical and nuclear        and it is ovisly b

on earth what is the weight of a large screen tv thas has amass of 75 kg

Answers

Answer:

Explanation:

F = mg

F = 75(9.8)

F = 735 N

If an athletic field has 440 metre, how many rounds must an athlete do to cover a half marathon, I.e 21km and 200 metre

Answers

Answer:

53

Explanation:

Given:

perimeter of the field = 440 m

Half of the distance of marathon = 21 km and 200 meter

Step-by-Step Explanation:

21 km 200 meter

=

21200 Meter                                   (1km= 1000M)

21200 ÷ 400

= 53

4. Shirley Bored sits in her seat in the English classroom. The force of gravity on Earth pulls
down on Shirley's body with 600 N of force. What is the direction and size of the reaction
force acting on Shirley?

Answers

Answer:

600 N upward

Explanation:

According to Newton's third law, for every action their is an equal and opposite reaction. The equal and opposite reaction to a downward force of magnitude 600 N is an upward force of magnitude 600 N

A hunter is practicing hitting a target that is down range. If the arrow leaves the bow at a
velocity of 26 m/s at an angle of 40 degrees above the horizontal,

a. Calculate how much time it takes for the arrow to return to the bow level.

b. Find out how far down range the arrow goes.

c. What is the maximum altitude the arrow reaches?

Answers

Answer:

What kind of bow Is he using

A student's computational model of a falling object does not account for air flow. Which of the following statements is true? (1 point)
1. This computational model must be redone because this simplification will increase the amount of computational power needed for this program.
2. This computational model must be redone because computational models should not include simplifications.
3. This is a simplification, which will create inaccuracies, but computational models of complex systems often include simplifications 4. This computational model is strong because simplifications can make computational models more accurate.​

Answers

Option 3. This is a simplification, which will create inaccuracies, but computational models of complex systems often include simplifications.

A student's computational model of a falling object does not account for air flow is  " this is a simplification, which will create inaccuracies, but computational models of complex systems often include simplifications".

What is computational models?

Using computers to simulate and investigate complicated systems utilizing mathematics, physics, and computer science is known as computational modeling. Numerous variables in a computational model describe the system under study.

In behavioral science, computational modeling aims to employ exact mathematical models to better understand behavioral data. Most frequently, the behavioral data are choices, but they can also be reaction times, eye movements, or other plainly visible behaviors, or even neurological data.

This is a simplification, which will create inaccuracies, but computational models of complex systems often include simplifications.

To learn more about computational models refer to the link:

brainly.com/question/28525506

 

#SPJ5

how can a calculated height be greater than an actual height?

Answers

Answer:

mesuring heigh and weight is important

in the free body diagram. what is the net force?

A) 40 N, right

B) 10 N, right

C) 80 N

D) 32 N, right

Answers

Answer:

None of the suggested solutions.

Explanation:

horizontally, net force is

60cos30 - 20 = 31.96... 32 N right

which might be their desired answer.

There is also a vertical net force component.

vertically, net force is 40 + 60sin30 - 40 = 30 N up

total net force is

√(32² + 30²) = 43.834... 44 N

θ = arctan(30/32) = 43° above horizontal right.

A ball of mass 2 kg is being pulled sideways by a force 3 N to the right, and a force of 8N to the left - these are the only forces acting on it..

1.) What is the net force in the horizontal (x) direction?

2.) what is the acceleration in the horizontal (x) direction?​

Answers

Answer:

Explanation:

1.) What is the net force in the horizontal (x) direction?

Fnet = 8 - 3 = 5 N left

2.) what is the acceleration in the horizontal (x) direction?​

a = Fnet/m = 5/2 = 2.5 m/s² left

What is motivation in your own world

Answers

Answer:

Motivation is the process that initiates, guides, and maintains goal-oriented behaviors.

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