A large disk that has radius 0.200 m is mounted on a fixed frictionless axle at its center. A light rope is wrapped around the disk and a block of mass 20.0 kg is suspended from the free end of the rope. The system is released from rest. The rope unwinds without slipping and the block descends with an acceleration of 4.00 m/s2. What is the moment of inertia of the disk for an axis along the axle?

Answers

Answer 1

The moment of inertia of the disk is 100 kg·m².

The moment of inertia is a measure of an object's resistance to rotational motion, and it depends on the object's mass distribution and geometry.

In this problem, we can use the concept of torque to relate the acceleration of the block to the moment of inertia of the disk. Since the rope unwinds without slipping, the linear acceleration of the block is equal to the tangential acceleration of the disk at the point where the rope is attached. We can use the equation for torque τ = Iα, where τ is the torque applied to the disk, I is its moment of inertia, and α is its angular acceleration. Since the torque is equal to the weight of the block, which is mg = 196 N, and the angular acceleration is equal to the tangential acceleration divided by the radius, which is α = a/r = 20 m/s², we can solve for the moment of inertia I = τ/α = (196 N)(0.2 m)/20 m/s² = 100 kg·m².

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Related Questions

Is cycling up a hill kinetic energy?

Answers

Yes, cycling up a hill is kinetic energy.

Kinetic energy refers to the energy of motion, which is observable as the movement of an object. Every move has kinetic energy. For instance, cycling up a hill can convert up to 90% of an individual's energy and movement into kinetic energy. The kinetic energy produced is then used to move the cycle up to the hill. Momentum, along with the balance of the rider, helps keep the cycle stable while traveling along the path up to the hill.

Therefore, it is concluded that cycling up a hill is kinetic energy.

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about how often is a full moon observed from earth’s surface?

Answers

Minimum 14 times in a year is the time in which a full moon is observed from earth’s surface.

The Moon is not like Earth. It does not have oceans, lakes, rivers, or streams. It does not have wind-blown ice fields at its poles. Roses and morning glories do not sprout from its charcoal gray, dusty surface. Redwoods do not tower above its cratered ground.

Dinosaur foot prints cannot be found. Paramecium never conjugated, amoeba never split, and dogs never barked. The wind never blew. People never lived there—but they have wondered about it for centuries, and a few lucky ones have even visited it.

The lunar surface is charcoal gray and sandy, with a sizable supply of fine sediment. Meteorite impacts over billions of years have ground up the formerly fresh surfaces into powder. Because the Moon has virtually no atmosphere.

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Find the force of gravity acting on the following object 1.2 kg rabbit

Answers

The force of gravity which is the same as weight of the object is 11.8 N

What is Weight ?

Weight can be defined as a gravitational pull on any object in space under the influence of acceleration due to gravity. The force of gravity acting on an object is also known as weight.

To find the force of gravity acting on the 1.2 Kg rabbit, let us use the formula below

W = mg

Where

Weight W = ?Mass m = 1.2 KgAcceleration due to gravity g = 9.8 m/s²

Substitute all the parameters

W = 1.2 × 9.8

W = 11.76 N

Therefore, the force of gravity acting on the 1.2 kg rabbit is 11.8 N approximately.

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A substance did not change its chemical nature in a reaction. Which most likely describes the reaction?

Answers

Answer:

The substance would of been frozen

Explanation:

A substance did not change its chemical nature in a reaction. Which most likely describes the reaction? It was frozen.

An astronaut at rest in space with mass 84 kg fires a thruster that expels 35 g of hot gas at 875 m/s. What is the velocity of the astronaut after firing the thruster?.

Answers

Answer:

  about 0.365 m/s

Explanation:

You want to know the velocity of an astronaut who starts from rest and fires a thruster that expels 35 g of gas at 875 m/s.

Momentum

The total momentum of the system is the same before and after the thruster is fired: 0.

If v is the velocity of the astronaut, it must satisfy the equation ...

  (84)v +(0.035)(875) = 0

  v = -(0.035)(875)/(84) ≈ -0.3646

The velocity of the astronaut is about 0.365 m/s in the direction opposite of the expelled gas.

__

Additional comment

We have used (kg·m/s) as the units of momentum. 35 g = 0.035 kg. We have also assumed that the mass of the system before firing is a total of 84.035 kg

Car slides stop over 50m the force of friction bringing stop 329 N how much work done on car ?

Answers

Answer:

W =  - 16450 J  

Explanation:

Force of friction = - 329 N ( Friction acts opposite to the direction of motion )

Displacement = 50 m

W = F s

   =  - 329 × 50

W =  - 16450 J

∴ The work done by the force of the friction is - 16450 J .

The work done on the car to stop it by the frictional force of 329 N over 50 m is 16450 J.

What is frictional force?

Friction is a type of force which resists the motion of an object. Thus friction opposes the force that make the object moving. When a force is making a displacement on object or make it stop.

The work done in physics is the product of the force acting on it to stop or displace and the displacement.

Given  displacement = 50 m

friction  force = 329 N

Work done =  Force ×  displacement

                   = 329 N × 50 m = 16450 J

Therefore, the work done on the car by the frictional force to stop it is 16450 J.

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a cinder block is sitting on a platform 20 m high. It weighs 7.9kg the block has energy calculate it

Answers

The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics.

What is a potential energy?

Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the phrase "potential energy" was coined by the Scottish engineer and physicist William Rankine in the 19th century. Potential energy is connected to forces that affect a body in such a way that their combined work is only dependent on the body's beginning and ultimate positions in space. At any point in space, these forces, also known as conservative forces, can be represented by vectors that are gradients of a particular scalar function known as potential.

The block has potential energy due to its position above the ground. The formula for potential energy is PE = mgh, where m is the mass of the object (7.9 kg), g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height above the ground (20 m).

So the potential energy of the cinder block is:

PE = (7.9 kg) x (9.8 m/s^2) x (20 m) = 1564 Joules

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Which of the following is a nonrenewable energy source?A. Natural gasB. Solar energyC. Wind energyD. Tidal energy

Answers

Out of the given options, Natural gas is a non-renewable source of energy.

Energy sources are categorized into two types, renewable and non-renewable source of energy. renewable sources of energy are those which can be use more than once. like: wind energy, solar energy, and tidal energy, etc. On the other hand non-renewable energy cannot be used more than once. they got vanished after one use. They are one-time use energy sources. Some examples of non-renewable sources of energy are, natural gas, petrol, diesel, coal, etc.

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Need help asap !!!!!!!!!!!!?!!!!?

Answers

Answer: A, B, and C

Explanation: A standard room-vacuuming robot doesn't unpack itself from the box it comes in.

A wire ring of internal radius
3cm and external radius 3.2 cm is
rested on the surface of a liquid and
then raised. An extra pulling force
equivalent to the weight of 3.03g is
required before the film breaks than it
is after. Calculate the surface tension
of the liquid.

Answers

The surface tension of the liquid is 24.1 g/m.

How do you determine the surface tension of the liquid?

To determine the surface tension of the liquid, employ the formula:

surface tension = (extra force required) / (length of the film)

extra force required = 3.03 g

internal radius = 3 cm = 0.03 m

external radius = 3.2 cm = 0.032 m

The length of the film can be calculated as the circumference of the external ring minus the circumference of the internal ring:

length of the film = (2 * pi * external radius) - (2 * pi * internal radius)

= (2 * pi * 0.032 m) - (2 * pi * 0.03 m)

= 0.1257 m

Hence, the surface tension can be determined following our chosing formula:

surface tension = (3.03 g) / (0.1257 m)

= 24.1 g/m

It can then be concluded that the surface tension of the liquid is 24.1 g/m.

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Lars is balancing equations with his study group. He is unsure about one equation because each member of the study group came up with a different answer. Which is the proper way to balance the equation Ca(OH)2 + H3PO4 → Ca3(PO4)2 + H2O?

Answers

Follow my lead or ur answer is very wrong

Jamie finds the height of a classroom by dropping a penny from the ceiling. It takes 0.8 seconds to hit the ground. How tall are the ceilings?

Answers

Answer:

The height of the classroom can be determined using the equation:

height = (1/2) * g * t^2

Where:

g = the acceleration due to gravity (approximately 9.8 m/s^2 on Earth)

t = the time it takes for the penny to fall (0.8 seconds)

Plugging in the known values, we get:

height = (1/2) * 9.8 m/s^2 * (0.8 s)^2

height = 3.072 m

So the ceilings are approximately 3.072 meters tall.

Explanation:

convert the following measurement
0.0088(g/cm^3)=_____ kg/m^3

Answers

Answer:

0.00088 kg/m³

Explanation:

Given:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \: \text{g} }{ \text{cm}^{3} }}[/tex]

Let's consider cm³ to m³ first. We know that m³ is 100 cm³. Therefore, cm³ would equal to m³ × 10 negative squared:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \: \text{g} }{ {10}^{ - 2} \: \text{m}^{3} }}[/tex]

And from the numerator, 1 kg = 10³ grams. Therefore, 1 gram would equal 10 to negative cube kg Hence:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3} \times {10}^{ - 3} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }}[/tex]

Then evaluate using law of exponent where if same bases multiply each other, we add the exponents:

[tex] \displaystyle{ \dfrac{8.8 \times {10}^{ - 3 - 3} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 6} \: \text{kg} }{ {10}^{ - 2} \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 6 + 2} \: \text{kg} }{ \: \text{m}^{3} }} \\ \\ \displaystyle{ \dfrac{8.8 \times {10}^{ - 4} \: \text{kg} }{ \: \text{m}^{3} }}[/tex]

And 8.8 × 10^-4 is equal to 0.00088. Therefore, the answer is 0.00088 kg/m³

What two types of energy does a moving bike riding down a hill have?

Answers

When riding down a hill, the two types of energy which a moving bike has are kinetic energy and thermal energy.

What is kinetic energy?

Kinetic energy is the energy of motion, observable as the movement of an object or subatomic particle. Every moving object and particle have kinetic energy. Example of kinetic energy, such as: a race car speeding around the corner, a bicycle crushing down the hill, and students running home from the school.

What is thermal energy?

Thermal energy refers to the energy contained within a system which is responsible for its temperature. Heat is the flow of thermal energy. An example of thermal energy is boiling water on the stove.

So, when riding down a hill, a bike has kinetic energy, and when brakes apply, the energy into thermal energy on the brake (heat).

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Two cars A and B are initially at the same position. Car A starts moving at constant speed of 4m/s. If car B starts moving at constant speed of 8m/s, 2 seconds later after car A moved, where does car B overtakes car A? A. 12m B. 30m C. 16m D. 24m​

Answers

Answer:

16 m

Explanation:

(4 m/s)(t + 2 s) = (8 m/s)t

4t + 8 = 8t

8 = 4t

t = 8/4 = 2 sec

This means that after Car A has traveled for 4 sec, Car B catches up to it after it has traveled 2 s (having left 2 s after Car A).

Where do they meet up:

d = rt

Car B:  d = (8 m/s)(2 s) = 16 m

Car A:  d = (4 m/s)( 2 s + 2 s) = 16 m   **always check both equations to make sure your answer is correct

How do you calculate the force of an electron?

Answers

The force of an electron cannot be calculated directly. However, the force of an electron can be determined indirectly by measuring the electric field around the electron and calculating the force on the electron using the equation F=qE, where q is the charge of the electron and E is the electric field.

The electric field around an electron can be measured using various experimental methods. One of the most common methods is to use a laser to measure the electric field of an electron. This is done by shining a laser beam onto a charged particle and then measuring the intensity of light that is scattered from the particle.

The electric field of the electron can then be calculated from the measured intensity of the scattered light.

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Compare and contrast angular momentum and linear momentum. Include two ways that they are alike and two ways that they are different. Be sure to discuss how mass affects both angular and linear momentum.

Answers

Angular momentum and linear momentum are two physical concepts that have some similarities and differences. They are both measures of motion, but they describe different types of motion.

Similarities:

Both angular and linear momentum are conserved in isolated systems, meaning that the total amount of momentum in a system remains constant unless acted upon by an external force.Both angular and linear momentum are vector quantities, meaning they have both magnitude and direction.

Differences:

Angular momentum is a measure of an object's rotational motion, while linear momentum is a measure of an object's translational motion.Angular momentum depends on the object's mass and its distance from the axis of rotation, while linear momentum depends only on the object's mass and velocity.

What is angular momentum and linear momentum?

The term angular momentum and linear momentum are similar in that they are both conserved and vector quantities, but they differ in that angular momentum describes rotational motion and linear momentum describes translational motion.

In summary, angular momentum depends on both mass and distance from the axis of rotation, while linear momentum depends only on mass and velocity.

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In aerobic respiration, glucose and oxygen are used up and carbon dioxide, water and __________ are released.

Answers

the filling to your question is byproducts.

part other than hydrogen that acid contain

Answers

Part other than hydrogen that acid contain- is called anion in dissolved form.

What is acid?

A Bronsted-Lowry acid or Lewis acid is a molecule or ion that can either donate a proton (the hydrogen ion, H⁺) or establish a covalent bond with an electron pair.

The proton donors, also known as Bronsted-Lowry acids, are the first class of acids. Proton donors, also referred to as Arrhenius acids, generate the hydronium ion H₃O⁺ under the unique situation of aqueous solutions. The Arrhenius theory was expanded upon by Bronsted and Lowry to take non-aqueous solvents into account.

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an object with a kinetic energyof 16,000 joules has a velocity of 8 m/s what is its mass

Answers

The mass of the object with a kinetic energy of 16,000 joules has a velocity of 8 m/s is 500kg.

How to calculate kinetic energy?

Kinetic energy refers to 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

Where;

K.E = kinetic energym = massv = velocity

According to this question, an object with a kinetic energy of 16,000 joules has a velocity of 8 m/s. The mass can be calculated as follows:

16,000 = ½ × m × 8²

16,000 = 32m

m = 16000/32

m = 500kg

Therefore, 500kg is the mass of the object.

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A marching band is practicing. the band director sees the drum major hit a drum. how far away is the director if he hears the drumbeat in 0.40 seconds? the speed of sound is 330 m/s.

Answers

The distance between the director and the drum is 132 m.

how to calculate the distance between the director and source of the sound?

Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration. the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear. The formula of the sound in correlation with time of hear and distance is time of hear = speed of sound : distance. As per data given, time of hear = 0.40s; speed of sound = 330 m/s. The distance will be:

time of hear = speed of sound : distance

0.40 = 330 : distance

distance = 330 : 0.40

distance = 132 m

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Two billiard balls of equal mass undergo a perfectly elastic head-on collision. If one ball's initial speed was 2. 00 m/s, and the other's was 3. 60 m/s in the opposite direction, what will be their speeds and directions after the collision?.

Answers

After the collision, the final velocity of both balls will be (2.00 + 3.60) m/s in the same direction.

What is collision?

The outcome of the two things applying force to one another. The kinetic energy of the two objects is transformed into the other forms, such heat or sound, when they contact. Both elastic and inelastic collisions exist. Both the colliding objects maintain their original energy in an elastic collision.

The first ball has kinetic energy of (1/2)mv² where m is the mass of the ball and v is the velocity. The second ball has kinetic energy of (1/2)m(3.60)²

After collision, the final velocity of both balls in the same direction can be calculated using the conservation of momentum.

m1v1 + m2v2 = m1v'1 + m2v'2

where m1,m2 are the mass of the balls, v1 and v2 are the initial velocities of the two balls and v'1 and v'2 are the final velocities of the two balls.

Given that the mass of the two balls is equal, you can simplify this equation as:

v1 + (-v2) = v'1 + v'2

and solving for v'1 and v'2 gives v'1 = (v1+v2) and v'2 = (v1+v2)

Therefore, after the collision, the final velocity of both balls will be (2.00 + 3.60) m/s in the same direction.

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8 An astronaut orbits the Earth in a space station. Which is a vector quantity? A B C D the weight of the astronaut the mass of the astronaut the speed of the satellite the temperature inside the satellite​

Answers

The space station's mass and the pull of its gravitational field on the planet(D)

Who is called astronaut?

Astronaut is a term for a person who has travelled to space that is derived from the Greek words for "star" and "sailor." More specifically, space travellers from the United States, Canada, Europe, and Japan are referred to as "astronauts" in the West. An astronaut is a person who has received specialised training in order to travel to space. A spaceship's astronauts may do a variety of tasks. Typically, a commander and a pilot collaborate to lead the mission. Other positions could be science pilot, mission expert, payload commander, and flight engineer.

How important is it to be an astronaut?

The astronaut does highly significant scientific research on Earth to advance technological advancement in addition to gathering samples, performing tests, and making minor repairs on spaceships and space stations. The study of space and even all the efforts made to escape the gravity of Earth have led to the production of items that we use every day as well as scientific theories that have altered our perceptions of space and our understanding of the origins of life on Earth.

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Which of the following is not true about a longitudinal wave?

A (They are all considered mechanical waves.

B (They need a medium (material) in order to travel.

C (They move up and down (perpendicular) to the direction of the wave's energy.

D (They move along with (parallel to) the direction of the wave's energy.

Answers

Answer:

Which of the following is NOT TRUE about a longitudinal wave?

A. They are all considered mechanical waves.B. They need a medium (material) in order to travel.C. They move up and down (perpendicular) to the direction of the wave's energy.D. They move along with (parallel to) the direction of the wave's energy.

Explanation:

What are waves?A wave is a disturbance in a medium that carries energy without permanently moving a substance. Particles of the medium are momentarily displaced and then return to their original location in a wave.Mechanical waves are waves that require a medium to transport energy from one location to another. Mediums are materials that move energy or light from one substance or location to another. Answer breakdownsChoice C is the best answer. In a transverse wave, particles of the medium are displaced in a direction that is perpendicular to the direction of energy transport.Choice D is incorrect. This choice describes exactly what a longitudinal wave is. In a longitudinal wave, particles of the medium are displaced in a direction that is parallel to the direction of the wave's energy. Choice A is incorrect. A mechanical wave is any wave that requires a medium to transport energy from one location to another. Choice B is incorrect. As per choice A's explanation, if the longitudinal waves are mechanical they must then require a medium.

Convert 1.5 days to s

Convert 5.2 ft to m

Convert 3600 s to hr

Convert 10.2 m to ft

Convert 305 g to kg

Convert 180 pm to m

Convert 73 kg to g

Convert 1,366 s to min

Convert 86,000 m to km

Please answer these and SHOW ALL WORK, please please please show ALL WORK. Need this done right now please help! Thank you so much!

Answers

One minute has 60 seconds, One hour has 60 minutes and one day has 24 hours. Thus, 80 x 60 x 24 = 86,400 seconds in a day.

What is the formula for days to seconds?The information about how many seconds there are in a minute, how many minutes there are in an hour, and how many hours there are in a day can be used to quickly and efficiently answer this question. The next step is to convert 90 minutes into hours and minutes because there are only 60 minutes in an hour: 90 60 = 1.5 hours. A minute has 60 seconds, thus an hour (60 mins) has 3,600 seconds (60 x 60), and if you multiply that number by three hours, you get 10,800 seconds. Assuming that each month has 30 days, a whole year has 360 days. A different European approach (30E+/360) Date A will be modified if it coincides with the 31st of a given month.

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The color of light emitted is determined by the amount of energy released by the atom when electrons within it relax.

Answers

Answer:

As electrons move from higher energy levels to lower energy levels a photon (particle of light) will be given off. This is the process of emission.

Explanation:

electrons and photons also do this

Answer the following automotive services question. Main drive gear = 35 teeth speed of main drive gear = 450 r. P. M. Countershaft drive gear = 70 teeth speed of countershaft drive gear = r. P. M.

Answers

The speed of countershaft drive gear is 225 RPM.  To find it, you have to compare both STM value.

How to calculate the speed of that countershaft drive gear?

To calculate the the speed of countershaft drive, we use the formula of the surface teeth per minute (STM) where the formula is:

the surface teeth per minute (STM) = Speed x number of teeth

Because of the main drive gear is connected with the countershaft drive gear, the STM of both are equivalent. So.

Main gear speed x Main gear number of teeth = countershaft speed x countershaft  number of speed

35 teeth x 450 RPM = 70 teeth x "x" RPM

450 RPm = 2 x "x" RPM

x = 450 : 2 RPM

x  = 225 RPM

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Based on your data, is the relationship between friction and speed direct (both go up), or indirect (one decreases and the other increases)? Explain how your data support this answer.

Answers

they both go up depending on the circumstances

20 of 35
Which of the following is true?
A
All EM waves are transverse in shape, but mechanical waves can be
either transverse or longitudinal.
All mechanical waves are transverse in shape, but EM waves can be
either transverse or longitudinal.
b
SUBMIT ANSWER
B
D
All EM waves are longitudinal in shape, but mechanical waves can be
either transverse or longitudinal.
All mechanical waves are longitudinal in shape, but EM waves can be
either transverse or longitudinal.

Answers

B is the answer!


Explanation: It’s correct.

if there are two waves A and B with their amplituds 3 cm and 4 cm respectively compared it's loudness and tell which one is more louder ​

Answers

Wave B will be louder than wave A.

Let the amplitude of wave A be a1 and the amplitude of wave B be a2.

Similarly, let the loudness of wave A be L1 and the loudness of wave B be L2.

We know,

[tex]\frac{L1}{L2}[/tex] = [tex]\frac{a1^{2} }{a2^{2} }[/tex]

By substitution we see:

[tex]\frac{L1}{L2}[/tex] = [tex]\frac{3^{2} }{4^{2} }[/tex]

We get:

[tex]\frac{L1}{L2}[/tex] = [tex]\frac{9}{16}[/tex] .

Thus we see that the loudness of wave A is 9Hz while that of wave B is 16Hz. So we conclude that wave B is louder than wave A.

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