A block of mass 2.52 kg is kept at rest
as it compresses a horizontal massless spring
(k 116 N/m) by 9.73 cm. As the block
is released, it travels 0.537 m on a rough
horizontal surface before stopping.
The acceleration of gravity is 9.8 m/s.
Calculate the coefficient of kinetic friction
between surface and block.

A Block Of Mass 2.52 Kg Is Kept At Restas It Compresses A Horizontal Massless Spring(k 116 N/m) By 9.73

Answers

Answer 1

By Newton's second law, the net vertical force on the block is

F = N - mg = 0

so that the normal force exerted by the surface has magnitude

N = mg = (2.52 kg) (9.80 m/s²) = 24.7 N

Then as the block slides over the surface, it feels a frictional force of

f = µ (24.7 N)

where µ is the coefficient of kinetic friction.

As the block is pushed by the spring to its equilibrium position, friction performs

µ (-24.7 N) (0.0973 m) = -2.40µ J

of work (which is negative because it opposes the block's motion).

In compressing the spring by 9.73 cm = 0.0973 m, we store

1/2 (116 N/m) (0.0973 m)² = 0.549 J

of energy. This energy is released and partially converted to kinetic energy, while the rest is lost to friction.

By the work-energy theorem, the total work performed on the block as the spring pushes it towards the equilibrium position is equal to the change in its kinetic energy:

W = ∆K

0.549 J - 2.40µ J = 1/2 (2.52 kg) v ² - 0

where v is the speed of the block at the equilibrium position. Solving for v, we get

v = 0.891 √(0.549 - 2.40µ) m/s

After the block is released, the only force acting on it as it slides freely is friction. It comes to a stop after 0.537 m, so that friction performs

µ (-24.7 N) (0.537 m) = -13.3µ J

of work.

Using the work-energy theorem again, we have

W = ∆K

-13.3µ J = 0 - 1/2 (2.52 kg) v ²

Substitute the velocity we found in terms of µ, and solve for µ :

-13.3µ J = -1/2 (2.52 kg) (0.891 √(0.549 - 2.40µ) m/s)²

===>   µ = 0.0350


Related Questions

how did the Ojibwe protect walleye populations?


a.) they count the total number of walleye eggs that a female lays each year.

b.) did you Spears to catch walleye.

c.) they only fish for walleye at night.

d.) they said a limit on the number and size of Walleye a spearfisher can catch.​

Answers

The Ojibwe protected walleye populations as D. They said a limit on the number and size of Walleye a spearfisher can catch.

Wisconsin Walleye War was a series of protests regarding the fishing and hunting rights of the Ojibwes. Wisconsin wanted to regulate the rights of the people whenever they went fishing and hunting.

The protest eventually led to the state speaking to the people. This resulted in a resolution that there should be a limit on the number and size of Walleye a spearfisher can catch.

This was necessary in order to preserve the walleye for future generations.

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Look at the figure below and calculate the length of side y.
A. 8.5
B. 17
12
y
C. 6
O D. 12
45
Х

Answers

Answer:

I want to say a because you want to subtract and simplify

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:

What is needed to complete the equation representing cellular respiration?
+ Oxygen - Carbon Dioxide + Water + Energy
O Glucose
Nitrogen
O Sunlight
ОАТР

Answers

Answer is sunlight

Explanation :

Answer:

glucose is needed

Explanation:

I just learnt it last week and here is what it says in my notes.

Oxygen is in,

water is in,

carbon dioxide is in,

engery(which is sunlight) is in,

what is not in is glucose.

London lives 1200 meters south of Chick-fil-A and is thinking about going there for lunch. When she is ready to leave, she realizes she left her wallet at her Aunt's house. She walks 750 meters to her aunt's house and then 1000 meters to Chick-fil-A. It took her 30 minutes to get from her house to Chick-fil-A. What was her distance traveled?

Answers

Answer:

  1750 m

Explanation:

The distance traveled is the 750 meters to the Aunt's house plus the 1000 m from there to Chick-fil-A.

  750 +1000 = 1750 . . . meters traveled


A bucket crane consists of a uniform boom of mass
M = 201 kg and length L= 59.05 ft that pivots at a point on
the bed of a fixed truck. The truck supports an elevated bucket
with a worker inside at the other end of the boom, as shown in
the figure. The bucket and the worker together can be modeled
as a point mass of weight 201 lb located at the end point of
the boom.
Suppose that when the boom makes an angle of 68.7° with the
horizontal truck bed, the bucket crane suddenly loses power,
causing the bucket and boom to rotate freely toward the
ground. Find the magnitude of the angular acceleration la of
the system just after the crane loses power. Take the rotation
axis to be at the point where the boom pivots on the truck bed.
Use g = 9.81 m/s2 for the acceleration due to gravity. For unit
conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N.
Express your answer to at least two decimal places.

Answers

Newton's second law for rotational motion allows finding the results for the angular acceleration of the system at the moment of losing power is:

              α =0.616 rad / s²

Newton's second law for rotational motion relates the torque to the moment of inertia and the angular acceleration, in the special case where the angular acceleration is zero, it is called the rotational equilibrium condition.

           [tex]\sum \tau = I \alpha[/tex]

           [tex]\tau = F \ r \ sin \theta[/tex]

where τ is the torque, F is the force, r the distance to the pivot point and θ the angle between the force, the distance, I is the moment of inertia and α is the angular acceleration.

In this case they indicate the values ​​in several different units, let's reduce to the international system of measurements (SI).

Beam mass M = 201 kg Beam length L= 59.05 ft (1m / 3.28 ft) = 18.0 m Worker and basket weight Wh = 201 lb (1N / 0.2248 lb) = 894.1 N Beam angle tea = 68.7º

We place our reference system at the base of the beam on the truck and counterclockwise turns as positive, and in the attached we see a free-body diagram of the system.

   

          [tex]W_m \ L \ sin 68.7 + Mg \ \frac{L}{2} \ sin 68.7 = I \alpha[/tex]

The moment of inertia is an additive scalar quantity, the total moment of inertia is the moment of inertia of the pen plus the moment of inertia of the man.

Moment of inertia of the beam with respect to one end.

           [tex]I_[/tex] = ⅓ ML²

moment of inertia of man

           [tex]I_m = M_m L^2[/tex]

Let's substitute

           [tex](W_m + \frac{Mg}{2} ) \ L \ sin 68.7 = (\frac{1}{3} M + m_m ) L^2 \alpha \\\alpha = \frac{(W_m + \frac{Mg}{2} ) sin 68.7 }{ (\frac{1}{3} M + m_m ) L }[/tex]

Let's calculate        

The mass of man is

           m = [tex]\frac{W_m}{g}[/tex]

           m = 894.1 / 9.8

           m = 91.2 kg

          [tex]\alpha = \frac{(894.1 +2.1 \ 9.8 ) \ sin 68.7 }{ 18.0 ( \frac{201}{3} + 91 }[/tex]

          α = 0.616 rad / s²

In conclusion using Newton's second law for rotational motion we can find the results for the angular acceleration of the system at the moment of losing power is 0.616 rad / s²

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Determine the MASS of the object in kg. (use g=10 m/s/s

Answers

Explanation:

Sorry but the question is incomplete

What is Juan’s velocity between 0-5 seconds?

Answers

Juan’s velocity between 0-5 seconds would be 2 m/s, the slope of the position time graph represents the velocity of the object and between the 0-5 seconds slope of the line is 2.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

velocity= total displacement/Total time

As given in the problem we have to find the velocity of Juan between 0-5 seconds.

The displacement covered between 0-5 seconds is 10 meters.

the time taken to change position is 5 seconds,

the velocity of the Juan = 10/5

                                 =  2 meters/seconds

Thus, its velocity of Juan comes out to be 2 meters/second.

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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.

which is an example of qualitative data?

A) the number of golfers who use callaway clubs

B) the scores of the golfers who use callaway clubs

C) the rating that the golfers give Callaway clubs

D) the number of putts per round of golfers using Callaway clubs

Answers

The answer is C)the rating that the golfers give Callaway clubs

in 10 minutes a heart can beat 700 times at this rate in how many minutes will a heart beat 140 times at what rate can a heart beat ​

Answers

Answer: Heart can beat 140 times in = 2 minutes

Since the bullets also have zero velocity, a more exact description of the bullet's state would be _____.

Answers

Answer:

Static equilibrium.

Explanation:

HELP PLEASE!

A book sits motionless on a table. Which statement is true?

The downward force is greater than the upward force on the book.
There are no forces acting on the book.
The upward force is greater than the downward force on the book.
The forces acting on the book are balanced by each other.

Answers

Answer:

I think the second one! So sorry if it's wrong!

Explanation:

Because if it's sitting motionless, then nothing is happening to it.

A book sits motionless on a table so the forces acting on the book are balanced by each other.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

A book sits motionless on a table that means forces acting on the book are balanced by each other. As book have mass so gravitational force acting in downward but opposite to that normal force because of friction is acting that stops book to be in motion.

A book sits motionless on a table so the forces acting on the book are balanced by each other.

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A 5.0 kg flying squirrel is flying from a tree down to the ground at constant velocity. Consider air resistance. Diagram the forces acting on the squirrel

Answers

The free body diagram of the squirrel motion, the weight of the squirrel is acting downwards while the air resistance is acting upwards.

The given parameters;

mass of the squirrel, m = 5 kgacceleration due to gravity = 9.8 m/s²

At a constant velocity downwards, the vertical acceleration is zero.

The downward force on the squirrel is calculated as follows;

W = mg - ma

W = m(g - a)

W = m(g - 0)

W = mg

W = 5 x 9.8

W = 49 N

The air resistance on the squirrel which is acting upwards is calculated as;

n = ma + mg

n = m(a + g)

n = m(0 + g)

n = mg

n = 5 x 9.8

n = 49 N

The free body diagram is presented below;

                                   ↑ n

                                   Ο

                                   ↓ W

Thus, in the free body diagram of the squirrel motion, the weight of the squirrel is acting downwards while the air resistance is acting upwards.

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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.

bro someone please help me, i need to turn this in by tomorrow first class of the day. if you can answer this page for me, please answer with a short sentence or paragraph if needed. thank you and please help me.

Answers

Answer: Sorry you I don't umderstand

Explanation:

how can you increase the sensitivity of a Mercury thermometer?​

Answers

The sensitivity of a mercury thermometer can be increased by using a smaller mercury bulb, thinner wall and smaller bore. A smaller bulb contains less mercury and hence absorbs heat in shorter time. As a result it can response faster to temperature change.

(03.02 LC)
Which of the following is a complementary base pair for DNA?
O Adenine and cytosine
O Guanine and cytosine
O Adenine and guanine
O Cytosine and thymine

Answers

Answer:

O Adenine and guanine

Explanation:

i think tell me if im rong

Guanine and cytosine are complementary base pairs for DNA, hence option B is correct.

What is the complementary base pairing in DNA?

Adenine and thymine are joined by two hydrogen bonds, whereas guanine and cytosine are joined by three hydrogen bonds.

Base pair of DNA. The nitrogen-containing bases adenine (A), thymine (T), and cytosine (C), as well as guanine (G), the couple together under normal conditions. The structure of DNA is created by the binding of these base pairs.

In order to construct the helical structure of DNA, complementary base pairing is crucial because it enables the base pairs to be placed in the most energetically advantageous manner.

Therefore, due to the fact that it permits semiconservative replication, it is also crucial in replication.

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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.

what characteristic feature do all anxiety disorders share?

Answers

Answer:

Something they all share is excessive worry that disturbs their normalized living style.

Electrons are ____________ charged particles. Answer here

Answers

Answer:

negatively charged

Explanation:

Answer: electrons are negative charged

Explanation:

Question
What is the total distance traveled if you drive 5.0 miles to school, and then drive 5.0 miles back home?

10.0 miles
10.0 miles

25.0 miles
25.0 miles

0 miles
0 miles

not enough information

Answers

Answer:

10 miles

Explanation:

b/c distance all what we go 5+5=10

Vengo una ves en un minuto dos veces en un momento pero no vengo en diez años Ayudaaaaaaa

Answers

Answer:

La letra "m"

Explanation:

Roadrunner speeds up from 2m/s to 10m/s in a distance of 10m. What is his acceleration?

Answers

d = v·t + (1/2)·a·t^2

a = 10m/s^2. t = 10s

v = 0m/s. Initial velocity

d = 0·10 + 10/2 · 10^2 = 0 +5·100

d = 500m

Explaining How Temperature Affects the Speed of a Wave
Does sound travel faster in a warm room or a cold room?
Explain your answer

Answers

Answer:

Warm Room

Explanation:

Sound, like any wave, is a transfer of energy from one particle to another.

As temperature rises, each particle will have more energy; they will collide into other particles more often.

As the frequency of collisions increase, the speed of which the sound wave is transferred increases.

Which of the following is TRUE regarding the development and growth of new neurons in the human brain?
A. The human brain has the capacity to generate new neurons throughout the lifespan.
B. There is no evidence that the human brain continues to develop new neurons after birth.
C. Glial cells of human brains continue to reproduce and grow in number through adulthood but neurons do not.
D. Animals such as primates, birds, and rodents do not experience neurogenesis

Answers

The human brain has the capacity to generate new neurons throughout the lifespan (option b).

The correct statement regarding the development and growth of new neurons in the human brain is option A. The human brain has the capacity to generate new neurons throughout the lifespan.

1. Neurogenesis, the process of generating new neurons, was once believed to be limited to early brain development and not to occur in adulthood. However, recent research has challenged this notion.

2. Studies conducted on adult brains have provided evidence of neurogenesis occurring in specific regions of the brain, such as the hippocampus, which is involved in learning and memory.

3. Neurogenesis in the adult brain involves the generation of new neurons from neural stem cells. These stem cells have the ability to differentiate into mature neurons and integrate into existing neural circuits.

4. The process of neurogenesis is influenced by various factors, including environmental enrichment, physical exercise, and certain medications.

5. It is important to note that while neurogenesis occurs in the adult human brain, the rate of neurogenesis is relatively low compared to early brain development.

6. In contrast to option B, there is evidence to support the idea that neurogenesis continues to occur in the human brain after birth and throughout life.

7. Option C is incorrect because while glial cells, a type of support cell in the brain, can reproduce and grow in number throughout adulthood, neurons also have the capacity to generate new neurons.

8. Option D is incorrect as several animal species, including primates, birds, and rodents, have been found to experience neurogenesis in various stages of their lives.

In conclusion, option A is the true statement regarding the development and growth of new neurons in the human brain, as neurogenesis can occur throughout the lifespan.

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According to astronomers, how many galaxies are distributed across the observable universe?

A. several thousand

B. 100 billion

C. 1 trillion

D. 50​

Answers

Answer:actually it's 120 billion so you can choose 100 billion

Explanation:

Answer: 1 billion

Explanation:

the law of conservation of energy also states that energy can be transformed ________
what will be there?

Answers

From one another. Hope this helps!!

3
Which finding would have disproved Virchow's hypothesis?
O Animalcules are not organisms.
O Animals are made of non-cell-based matter.
Plants are made of non-cell-based matter.
O Cells can generate from nonliving matter.

Answers

Answer:

the correct answer is cells can generate from nonliving matter

A jumbo jet collides with a sparrow. If neither exerts a greater force of impact, which experiences greater acceleration and why

Answers

Answer:

The sparrow experiences a Much greater acceleration because of its smaller mass.

Explanation:

a = F/m  With a constant force, acceleration is inversely proportional to mass.

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