You are pulling on a rope attached to the outer radius of a pulley with a moment of inertia I = 2.85 kg-m^2 as shown. The tension force of you on the pulley is 266.3 N. A pack of mass 23.4 kg is attached to the pulley's inner radius as shown. If the inner radius of the pulley is 0.43 m and the outer radius is 0.66 m, what is the magnitude of the linear acceleration of the pack? If instead of using a pulley with two radii, you were to replace the two radii pulley with a simple pulley of one radius: how would using the simple pulley instead of the two radii pulley affect the difficulty of holding the pack at rest over the edge? It will be easier to hold the pack. Not enough information to tell. There will be no difference. It will be harder to hold the pack.

Answers

Answer 1

The magnitude of the linear acceleration of the pack can be calculated using the following equation:a = (T - Fr) /m where a is the magnitude of the linear acceleration of the pack,T is the tension force of you on the pulley,Fr is the frictional force, and m is the mass of the pack.Substitute the given values to the formula:a = (T - Fr) / ma = (266.3 - Fr) / 23.4.

The frictional force can be determined using the moment of inertia of the pulley.I = mr²I = 2.85 kg-m²m = I / r²m = 2.85 / 0.43²m = 15.57 kgFr = maFr = 15.57 × aa = (266.3 - 15.57a) / 23.4Solve for a by multiplying both sides by 23.4:23.4a = 266.3 - 15.57a23.4a + 15.57a = 266.3a = 266.3 / 39.97a = 6.66 m/s².

Therefore, the magnitude of the linear acceleration of the pack is 6.66 m/s².If instead of using a pulley with two radii, you were to replace the two radii pulley with a simple pulley of one radius, it will be harder to hold the pack.

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Related Questions

The sandbox of the previous exercises had 10kg of sand. It was initially at 15°C and the specific heat of this sand is 830 j/(kg°C). What will be the final temperature of the sand? (-8100J=|0kg)

Answers

Answer:

Sorry I need points \( \boxed{}\)

Can someone help me PLEASEEE ASAP

Can someone help me PLEASEEE ASAP

Answers

Answer:

12 meters and 2 n

Explanation:

16 -  u = 6 (8.0 + 11)

Here’s what you do u do the math and solve it i don’t know how but do it

A toy dart gun generates a dart with a momentum of 140 kg*m/s and a
velocity of 4 m/s. What is the mass of the dart?*

Answers

Answer:

35 kg

Explanation:

From the question,

Momentum (I) = mass (m) × velocity (v)

I = m×v................... Equation 1

Where m = mass, v = velocity

make m the subject of the equation

m = I/v.................... Equation 2

Given: I = 140 kgm/s, v = 4 m/s

Substitute these values into equation 2

m = 140/4

m = 35 kg

Hence the mass of the dart is 35 kg

Answer:

the answer is .035 kg.

Explanation:

You just divide the momentum by the velocity to get the mass. Hope this helps.

I need help with the Reasoning to support my claim please.

I need help with the Reasoning to support my claim please.

Answers

I hope this Answer Help :)

Reasoning:
If the speed of the fan increases then the acceleration of the fan will also increase, this is because the ‘Change in Velocity (Or Speed) is directly proportional to the Acceleration of a particular object, this means as the change in velocity increases the acceleration increases as well.

**The Formulae/Relationship calculations are given below in the image attached**

what is the velocity at which the first sphere (mass =0.1 kilograms) hits the four spheres at rest if it is released from a height of 0.05meter?

Answers

The velocity of the first sphere will be 0.9899m/s

We know that Potential Energy, P.E. will be:

P.E. = mgh

where m = 0.1 kg

g =  9.8 m/s^2

h = 0.05 m

On  substituting values we get,

P.E. = 0.1 * 9.8 * 0.05 = 0.049 J

By the law of conservation of Energy,

P.E. = K.E,

K.E. = Kinetic energy ,

\(K.E. =\frac{mv^{2} }{2}\)

on substituting values we get,

(0.1 * v^2 *)/2 = 0.049

v^2 = 0.98

taking square root on both sides, we get

v = 0.9899 m/s

Therefore, the velocity of the first sphere will be 0.9899m/s.

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Can you describe 2 amazing things in science that you have learned about? It can be anything science related, volcanoes, computers, medicine think of something and write.

Answers

Answer:

I learned about human body, and cause of global warming.

Explanation:

These topics were so great to learn because I didn't know about Endocrine system, but now I know the job and the importance of  the Endocrine system. Also, I learned about global warming and I never knew what the cause of it was and it was great to learn new things!

if the column of mercury in a barometer drops to a lower reading, this means the measured pressure has decreased.
T/F

Answers

True. A barometer is an instrument used to measure atmospheric pressure. It works by balancing the weight of a column of mercury in a glass tube against the weight of the atmosphere.

When the pressure increases, the mercury column rises in the tube, and when the pressure decreases, the mercury column drops. Therefore, if the column of mercury in a barometer drops to a lower reading, it means that the weight of the atmosphere pressing down on the mercury in the glass tube has decreased. This drop in pressure may indicate a change in weather conditions, as atmospheric pressure affects the movement of air masses and the formation of weather patterns. It is important to monitor changes in atmospheric pressure to anticipate weather changes and adjust accordingly. Overall, a lower reading on a barometer indicates a decrease in atmospheric pressure, which can have significant implications for weather conditions and other natural phenomena.

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Mitosis can sometimes result in mutations, which can be repaired?

True or False

Answers

Answer:

True

Explanation:

Mitosis is the process of cell division that produces two identical daughter cells. Occasionally mutations can occur during DNA replication or the other stages of mitosis. However, cells have mechanisms for DNA repair that can correct these mutations, ensuring the integrity of the genetic material.

an interaction between organisms that rely on the same resources?

Answers

Answer:

... is called competition.

Explanation:

competition for same thing

on large scale maps, equivalence and conformity can be ________.

Answers

While large scale maps aim to provide detailed information, this focus can lead to the compromise of equivalence and conformity, making it difficult to perfectly preserve both size ratios and shapes.

On large scale maps, equivalence and conformity can be compromised.


1. Understand that large scale maps represent a small area in greater detail.
2. Recognize that equivalence refers to the preservation of size ratios and areas.
3. Acknowledge that conformity refers to the preservation of shape and angles.
4. Realize that on large scale maps, the focus is on detailed representation.
5. As a result, maintaining both equivalence and conformity may be challenging.

: Large scale maps provide detailed representations of small areas. In these maps, maintaining equivalence (preserving size ratios and areas) and conformity (preserving shape and angles) can be compromised due to the focus on detailed representation. Balancing both aspects might be challenging in a large scale map.

While large scale maps aim to provide detailed information, this focus can lead to the compromise of equivalence and conformity, making it difficult to perfectly preserve both size ratios and shapes.

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would you expect sound to travel faster in a solid liquid or gas?

Answers

Solid objects transmit sound the fastest. This is because sound waves can move through a solid medium much more swiftly than they can through a liquid or gas since its molecules are much closer together.

What do solid, liquid, and gas examples look like?

Solid, liquid, and gas are the three basic states or phases of matter. The chair you're sitting in, the water you're drinking, as well as the air that breathe are all examples of solids. Although the molecules and atoms remain the same, their motion does.

A solid, liquid, and gas are what?

Solid matter maintains a constant size and mass, liquid matter conforms to the shape of the its container while just slightly changing its volume, and gas material expands to take up the volume the shape of the its container.

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The term for a geographic locations regit above sea level is

Answers

Answer:

level HAHAHAHAHAH chariss

Which of the following is an uncontrollable risk factor for myocardial infarction?

weight gain
age
poor diet
cigarette smoking

Answers

Age (the risk increases with age)
Age as you can control all the rest but can’t stop yourself from aging

Ima Rilla Saari rushes to her car in order to hurry home and get dressed for work. Failing to realize the dangers of driving under slick and icy conditions, she collides her 964.0-kg Mazda Miata into the rear of a 3280.0-kg pick-up truck which was at rest at the light on Lake Avenue. Ima's pre-collision speed was 12.1 m/s. Determine the 3280.0-collision speed of the two entangled cars as they slide across the ice.

Answers

Answer:

The collision speed of the two cars is 8.8 m/s.

The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy. For example, if your automobile gets 30 miles per gallon at 55mph, the fuel consumption is 21 miles per gallon at 70mph. If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, what is the extra cost of fuel if gasoline costs $3.26 per gallon? Your car gets 30 miles per gallon (mpg) at 63mph.

Answers

The extra cost of fuel for driving 83 mph instead of 73 mph is $3.7671.

The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy.

If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, then the extra cost of the fuel is calculated as:

* **Fuel consumption at 83 mph:** 30 mpg * (1 - 2% * (83 - 55)) = 27.6 mpg

* **Fuel consumption at 73 mph:** 30 mpg * (1 - 2% * (73 - 55)) = 29 mpg

* **Extra fuel used:** 400 miles / 27.6 mpg - 400 miles / 29 mpg = 2.4 gallons

* **Extra cost of fuel:** $3.26/gallon * 2.4 gallons = $3.7671

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Which of the following is a way that trees have been negatively impacted by human use? a. Deforestation b. Pollution c. Reduction d. All of the above Please select the best answer from the choices provided A B C D.

Answers

Answer:

D

Explanation:

Trees are obviously effected from deforestation.

Pollution effects the things trees need to grow (water, air).

Reduction removes parts of the tree, some parts being needed.

Answer: D

Explanation:Trees are obviously effected from deforestation.

Pollution effects the things trees need to grow (water, air).

Reduction removes parts of the tree, some parts being needed.

1. what hypothesis will the experiment test? whether land or water heats faster 2. what are the variables? land and the water 3. what purpose would the sand serve? 4. what purpose would the water serve? 5. what purpose would the heat lamps serve? 6. what purpose would the thermometers use? 7. how can you use these materials to test whether land or water heats faster? 8. how would you compare whether land or water heats faster? 9. within a 24-hour period, at what three points should the temperature be taken? why? 10. what would an effective conclusion need to include?

Answers

Land surfaces being darker absorb much more solar radiation than water. . Water leads in reflecting the  most solar radiation that reaches the surface back in to the atmosphere.

How does this occur?

Sand heats up faster than water because it contains a lower specific heat. Water one the other hand requires one calorie of energy to raise the temperature of one gram of water by one degree Celsius. Sand takes 19 calories per gram to raise the temperature of the sand by 1 degree Celsius.  While Sand requires fewer calories to raise its temperature one degree Celsius and that’s why it heats up faster than water.

Land absorbs more solar radiation the land surface retains more heat as do the vegetation for energy.

Therefore during this experiment the  Sand did heat up much faster than water during this experiment. This happened because of the specific heat of the sand caused it to start heating up rapidly under the lamp as the time went.

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The three agents of sediment ______, which result in deposition as energy decreases, are ice, wind, and water.

Answers

The blank is transport I’m pretty sure

Answer:

The three agents of sediment transport, which result in deposition as energy decreases, are ice, wind, and water.

The three agents of sediment ______, which result in deposition as energy decreases, are ice, wind, and

all activities begin in which energy pathway?

Answers

Answer: Phosphagen Pathway

Explanation:

is the first energy source called upon at the beginning of any exercise program or in burst movements that are too quick for other systems to be called into action

The All activities in the human body begin with the energy pathway known as cellular respiration.

Cellular respiration is the process by which cells convert the energy stored in food molecules, such as glucose, into a form that can be used by the body. This process takes place in the mitochondria, the powerhouses of the cell. There are two main stages of cellular respiration: glycolysis and the citric acid cycle.

Glycolysis is the breakdown of glucose into two pyruvate molecules and the generation of a small amount of ATP. This stage takes place in the cytoplasm and does not require oxygen.

The citric acid cycle, also known as the Krebs cycle or the tricarboxylic acid cycle, takes place in the mitochondria and generates a large amount of ATP. During this cycle, the pyruvate molecules produced in glycolysis are converted into acetyl-CoA, which enters the citric acid cycle. The citric acid cycle produces high-energy electrons, which are used to generate ATP through oxidative phosphorylation.

The final stage of cellular respiration is the electron transport chain, which takes place in the inner membrane of the mitochondria. In this stage, the high-energy electrons produced in the citric acid cycle are transferred along a series of proteins, generating a proton gradient that drives the production of ATP.

In summary, cellular respiration is a complex and essential process that allows cells to generate the energy needed for all their activities, from muscle contractions to brain function.

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Question 13 Which of the following will NOT occur when water undergoes a physical change? The motion of the molecules increases. The molecules form new chemical bonds. c The molecules become less closely packed. D The kinetic energy of the molecules increases​

Answers

Answer:

the molecules form new chemical bonds

Explanation:

The circumstance which will not occur when water undergoes a physical change is that the molecules form new chemical bonds. Thus, the correct option for this question is B.

What do you mean by Physical change?

Physical change may be defined as a type of change within the compound or things that significantly do not change the chemical properties of the matter. It usually involves the process of transition from one state to another.

When water undergoes a physical change means liquid to solid, solid to liquid, or gas, the motion of the molecules, kinetic energy, and density alter with respect to the state of matter. So, all these attributes are classified into the category of physical change.

Therefore, the molecules forming new chemical bonds is the option that will not occur at any point in time when water undergoes a physical change. Thus, the correct option for this question is B.

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how many atoms does each element have in HNo3​

Answers

Answer:

1 hydrogen, 1 nitrogen and 3 oxygen atoms.

Explanation:

Is there static friction on anything that is not moving?

Or, is there static friction present ONLY when there is something trying to get something else to move, but it not moving?

Answers

The friction force is static since there is no relative motion between the shoe and the ground. The friction force, if any, is the static force of friction if there is no relative motion between the objects in contact (FS). An illustration would be a box that sits motionless on a ramp.

What is static friction?

A force that holds an object at rest is called static friction. The following is a definition of static friction:

the resistance people feel when they try to move something that is stationary on a surface without actually moving their bodies or the surface they are trying to move it on.

It can be explained as the frictional force that perfectly balances the applied force throughout the body's stationary state.

The static frictional force is self-regulating, meaning that it will always be equal to and the opposite of the applied force.

Friction is the force that prevents an object from moving in the direction it is sliding along a surface, therefore it acts in the opposite direction. But a friction force can be felt even when an object is not moving.

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Please help, I don't get this

Please help, I don't get this

Answers

C the third one i think good luck


What is the term that is used to describe the
material through which a wave travels?

a. Matter

b. Medium

C. Substance

d. None of the above

Answers

B. A wave travels through medium. Hope this helped!

what are the results of a expirament

Answers

What experiment?? Be more specific :)

Determine the moment at point b using method of section if w=40.3lb/ft Answer:

Answers

Method of section is a significant method of determining forces in members of a structure.

The basic concept of the method of section is to find out the forces acting on the sections by separating them from the rest of the structure.

In this problem, the moment at point b has to be determined using the method of section.

The given weight of the beam is

w = 40.3 lb/ft.

Let's draw the free-body diagram for the given beam:

Free-Body Diagram:

As we can see from the above diagram, the section has been drawn which passes through point b.

We have to determine the moment at point b using this section.

Now, we will write the equation for the moment of the section passing through point b as:

- 12(6) - 4(8) - (20)(12) - (32)(20) - (40.3)(12/2) = 0Mb = 1126.05 lb-ft

the moment at point b is 1126.05 lb-ft.

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Please help I'm so lost.
Erbium-165 has a half-life of 10.4 hours. If you start with 1,000 grams of erbium-165, how much time will it take to have 125 grams of erbium-165 left in the sample?

A. 41.6 hours
B. 31.2 hours
C. 10.4 hours
D. 20.8 hours

Answers

If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.

option D is the correct answer.

What is half life?

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is calculated as follows;

1,000 ---------- 0 time

500 ----------- 10.4 hours

125 ------------- 20.8 hours

Thus, from the calculation done above, we can see that If you start with 1,000 grams of erbium-165, the time it  will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.

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1.Galileo conducted experiments from the top of the Leaning Tower of Pisa. If he dropped a piece of burlap tied into a ball with twine and a 2-pound rock at the same time, what would he have seen and why? (5 points)

Answers

Answer:

The time for both of the balls to reach the ground would be the same.

Explanation:

If no air resistance is present, the rate of descent depends only on how far the object has fallen, no matter how heavy the object is. This means that two objects will reach the ground at the same time if they are dropped simultaneously from the same height. ... In air, a feather and a ball do not fall at the same rate.

Select the correct answers from the list.(1 point) A black hole begins to form as an aging star abruptly collapses when it ceases__________ . This occurs after the star has consumed its component elements in this order___________.

Answers

A black hole forms as a star collapses when it ceases emitting radiation from fusion reactions. This occurs after the star has consumed hydrogen, helium, then through iron.

Star evolution refers to the process by which stars evolve (change) over time.

A black hole can be defined as a collapsed star where the gravitational field in its nucleus becomes greater than particles cannot escape from it.

In consequence, black holes are cosmic bodies in which gravity is so powerful that nothing (i.e., particles, radiation, light, etc.) can escape from them.

Nuclear fusion refers to the energy reactions produced by the fusion of hydrogen at the core of a star, thereby becoming helium.

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If a 2.0Ω resistor and a 4.0Ω resistor are connected with a 12 volt battery, what is the total resistance of the circuit?
4.8Ω
9.2Ω
6.0Ω
1.3Ω

Answers

Series:
R = 2 + 4 = 6

Parallel:
R = 1/2 + 1/4 = 0.75

I am assuming this is in series since the parallel answer isn’t up there. The voltage doesn’t help us determine total resistance.
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