A block of mass 0. 5kg on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 50n/m. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. When the spring is unstretched, the block is located at x=0m. The block is then pulled to x=0. 3m and released from rest so that the block-spring system oscillates between x=−0. 3m and x=0. 3m. What is the magnitude of the acceleration of the block and the direction of the net force exerted on the block when it is located at x=0. 3m?

Answers

Answer 1

a. The magnitude of the acceleration is 30 m/s²

b. The net force on the block is 15 N and directed towards the negative x axis.

a. The acceleration of the block

The magnitude of the acceleration is 30 m/s²

The acceleration of the block is given by a = -ω²x where

ω = angular speed of block = k/m where k = spring constant = 50 N/m and m = mass of block = 0.5 kg and x = position of block = 0.3 m

So, a = -ω²x

a = -kx/m

Substituting the values of the variables into the equation, we have

a = - 50 N/m × 0.3 m/0.5 kg

a = -15 N/0.5 kg

a = -30 N/kg

a = -30 m/s²

So, the magnitude of the acceleration is 30 m/s²

b. The net force on the block

The net force on the block is 15 N and directed towards the negative x axis.

The net force on the block is given by F = ma where

m = mass of block = 0.5 kg and a = acceleration of block = -30 m/s²

So, F = ma

F = 0.5 kg × -30 m/s²

F = -15 kgm/s²

F = -15 N

We see that the force is negative.

So, the net force on the block is 15 N and directed towards the negative x axis.

Learn more about spring force here:

https://brainly.com/question/26825211


Related Questions

While visiting white sands national park, you grab a piece of cardboard box and slide down a large sand dune from the top of the dune to the bottom of the dune. Friction is present; air resistance can be ignored. Which statement correctly describes the change in energy as you slide from the top of the dune to the bottom of the dune on the cardboard box?.

Answers

The  statement that describes the change in energy as one slide from the top is the decrease in the gravitational potential energy is equal to the increase in kinetic energy.

What is Kinetic energy?

This is known to be a kind of energy that is seen in an object or a particle due to its motion.

Based on the above scenario, As the block goes or slides down, its potential energy is known to lower or decreases and its velocity is said to increases and therefore, it's kinetic energy is increasing.

See options below

O The decrease in the gravitational potential energy is equal to the increase in kinetic energy.

O The sum of the kinetic energy and the gravitational potential energy changes by an amount equal to the energy dissipated by friction.

The gravitational potential energy and the kinetic energy must both decrease.

The gravitational potential energy decreases, and the kinetic energy is constant.

Learn more about kinetic energy from

https://brainly.com/question/25959744

In the context of the passage as a whole, the phrase "chief charm" (line 1) is best interpreted to mean.

Answers

The inference deduced regarding the phrase "chief charm" is best interpreted as unsurpassed elegance.

What is an inference?

It should be noted that an inference simply means the conclusion that can be deduced from the evidence given.

In this case, in the context of the passage as a whole, the phrase "chief charm" is best interpreted to mean an unsurpassed elegance.

Learn more about inference on:

https://brainly.com/question/25280941

The inference about the given passage phrase "chief charm" is best interpreted to be unsurpassed elegance.

What is an inference?

An  Inference is known to be the way of using observation and framework to reach a good and logical endpoint or conclusion.

Note that the phrase of  "chief charm"  was used by the context of the passage as a whorl to connote a form of  unsurpassed elegance of the people or person involved.

Learn more about Inference from

https://brainly.com/question/25280941

#SPJ5

A bottle of ketchup holds 0. 946 liters. How many milliliters does it hold?.

Answers

Answer:

a bottle of ketchup

Explanation:

A company reported total stockholders' equity of $170,000 on its balance sheet dated december 31, 2018. During the year ended december 31, 2019, the company reported net income of $20,000, declared and paid a cash dividend of $4,000, declared and distributed a 10% stock dividend with a $5,000 total market value, and issued additional common stock for $40,000. What is total stockholders' equity as of december 31, 2019?

Answers

The total stockholders' equity as of December 31, 2019 is $226,000

What is stockholders' equity?

Shareholders' equity is what show how much the owners of a company have invested in the business over a period of time.

Computation of ‘December 31, 2019 Stockholder’s Equity’ is given below;

= Stockholder’s Equity + (2019, Net Income – 2019, Cash Dividends Declarations) + 2019, Common Stock issued

= 170,000 + ($20,000 - $4,000) + $40,000

= $226,000

Hence, the total stockholders' equity as of December 31, 2019 is $226,000

Learn more about stockholders' equity here : https://brainly.com/question/11110287

A 1,000-kilogram car traveling due east at 15 meters per second is hit from behind and receives a forward impulse of 6,000 newton-seconds. What would the new momentum of the system be after it experiences this impulse?.

Answers

Answer:

PLEASE Mark Me AS BRAINLIEST

Explanation:

distance : 1000

Time: 15m/s

total will be : 15000m/s

15000÷6000 will be 2.5m/s

this is the result

The elements in a star can be determined by analyzing the star's spectrum. Which statement explains why no two elements have the same spectrum?

Answers

Answer:

Each element has a unique arrangement of electrons.

Explanation:

i just took the test

Which is a key qualification for someone who assembles scientific engineering products?.

Answers

Answer:

ke y to the city

Explanation:

it is the only key

A circular disc has a diameter of 24 centimeters. What is the area of the disc?.

Answers

Answer:

452.39 I think...

Facts

Answer: D. 144πcm2

Explanation:

First you need to find the radius by deviding the diameter (24) by 2 wich is 12. Next, square 12 wich is 144.
In formula this is 144πcm2

Explain the process to solve the equation 1/4x=-5/8.

Answers

Answer:

[tex]x=-\frac{5}{2}[/tex]

Explanation:

Given the following question:

[tex]\frac{1}{4} x=-\frac{5}{8}[/tex]

To find the value of x we have to multiply both sides by 1/4.

[tex]\frac{1}{4} x=-\frac{5}{8}[/tex]
[tex]\frac{1}{4} x\div\frac{1}{4} =x[/tex]
[tex]\frac{1}{4} x=-\frac{5}{8}=-\frac{5}{8} \times\frac{1}{4} =-\frac{5}{2}[/tex]
[tex]x=-\frac{5}{2}[/tex]

Hope this helps.

Identify one piece of evidence that moser uses in the passage to support his claim regarding nationalist perceptions of liberal economic policies.

Answers

One piece of evidence that moser uses in the passage to support his claim regarding nationalists is; That the US government had to develop protectionist policies to tackle the attack on economic liberalism

What is the piece of evidence?

This question is taken from an article written by John.E.Moser about how global commerce which was a very important characteristic of economic liberalism, was severely under attack and how the crisis spread through to other countries.

Finally, The U.S government made use of protectionist policies that helped in safeguarding its economy, and other governments imposed retaliatory tariffs which made the crisis worse.

Read more about finding evidence at; https://brainly.com/question/25658352

A 72° sector in a circle has an area of 16. 4π yd². What is the area of the circle? use 3. 14 for pi. Enter your answer as a decimal in the box.

Answers

Answer:

257.48

I took the quiz

Luis repairs air conditioners. He earned a certificate in 6 months and paid for it with one loan. He earns a good salary now and will pay off his loan in two years. What kind of return on investment (roi) does luis demonstrate?

Answers

The kind of ROI Luis demonstrates is : Positive ROI

Positive ROI

A positive ROI is defined as when the cost of a financial decision/step is lower than the gain of a financial decision.

Luis takes a loan to help him earn a certificate,  the certificate he earns has helped him earn a good salary job which he can use to repay the loan.

Therefore in the long term Luis will have a positive return on investment on his financial decision.

Hence we can conclude that the kind of ROI Luis demonstrates is Positive ROI.

Learn more about ROI here : brainly.com/question/23603222

A marketing company wants to estimate the proportion of consumers.

Answers

Answer:

what's the ❓❓❓ I

question

The proof for the power property of logarithms appears in the table with an expression missing. Step reason mc027-1. Jpg given mc027-2. Jpg substitution properties of exponents mc027-3. Jpg logarithm property mc027-4. Jpg mc027-5. Jpg substitution mc027-6. Jpg commutative property of multiplication which expression is missing from the proof?.

Answers

Proofs are used to confirm or disprove mathematical statements

The missing expression in the proof is : [tex]\log_b((b^{xy})[/tex]

How to complete the proof

From the question, the first two steps are:

[tex]\log_b(M^y)[/tex]

[tex]\log_b((b^x)^y)[/tex]

By the properties of exponents, we have:

[tex]\log_b((b^{xy})[/tex]

The above expression represents the missing expression in the proof of the logarithmic expression

Hence, the missing expression is : [tex]\log_b((b^{xy})[/tex]

Read more about mathematical proofs at:

https://brainly.com/question/14036678

Answer:

a

Explanation:

The number of credits awarded for the CLEP exam is determined by:
A. the high school.
B. the ACT
c. the College Board.
D. the college or university.

Answers

Answer: The college or university

Explanation:

The number of credits awarded for the CLEP exam is determined by the College Board.

What is College Board?

In order to increase access to higher education, the College Entrance Examination Board (CEEB), a nonprofit American organization, was founded in December 1899.

The College Board manages a membership association of institutions with nearly 6,000 schools, colleges, universities, and other educational organizations, despite the fact that it is not an association of colleges.

To encourage college readiness and as a part of the college admissions process, K–12 and post–secondary educational institutions use standardized examinations and curriculum created and administered by The College Board.

Therefore, The number of credits awarded for the CLEP exam is determined by the College Board.

To learn more about College board, refer to the link:

https://brainly.com/question/30637238

#SPJ5

What is the difference between an introduced and an invasive species?(1 point).

Answers

Answer:

An introduced species is not necessarily harmful to the environment; an invasive species has a negative effect.

Explanation:

I hope this helps you!

Clarify why is it important to present your answers according to the marks allocated to assessment question.

Answers

It is necessary  to present your answers according to the marks allocated to assessment question so as to get awarded full marks

Assessment and Presentation of answers.

Assessment is an integral part of the teaching that shows if the learning process has been achieved to estimate the student’s ability to demonstrate  full Knowlege of the lesson or subject taught.

Examiners set questions and allocate marks according to how they expect the questions to appear.

it is important that students present answers accordingly so as not to miss on the full marks.

for example. if a questions asks "Explain the processes of water purification" with 30marks allocated.Upon answering,  and a student decides to list instead of explaining, Then  he or she will not be awarded the full marks.

Learn more on Assessments and marks here: https://brainly.com/question/26724914

What is the purpose of the outside source used in this excerpt? to illustrate japan’s isolation in the 1800s to educate readers about japanese screens to introduce readers to a musical by stephen sondheim to argue against american aggressiveness

Answers

The purpose of the outside source used in this excerpt is to illustrate Japan's isolation in the 1800s.

What was the Japan's isolation in the 1800s about?

In the 17th- 19th century, the Japanese government was said to have adopted a policy that isolated the whole country from the outside world.

This long timeframe of national isolation is known as the sakoku. In this time,  no Japanese is able to leave the country or they will have  to face the penalty of death. Here, only some few foreign nationals were able to t trade with Japan.

learn more about this excerpt from

https://brainly.com/question/26176530

Answer:

the answer to your question is

A. to illustrate Japan's isolation in the 1800s

Explanation:

brainliest pls?

Which of the following best explains why the painting was seen as a challenge to social conventions when it was painted?

Answers

The painting was seen as a challenge to social conventions because women were rarely the subject of European art during the period.

What is a painting?

A painting can be defined as an artwork that is typically used by an artist to express and depict an idea or thought about a place, thing, people, etc.

In this scenario, the reason which best explains why the particular painting was considered or seen as a challenge to social conventions is because women were rarely the subject of European art during the period.

However, paintings of women were later embraced as a tool to influence social changes when female artist began to draw and paint.

Read more on paintings here: https://brainly.com/question/2960877

Answer:

The correct answer is number B)

Explanation: )

A food worker needs to thaw a package of ground pork

Answers

Answer:

Put it in a clean sink w hike running COLD water on it until thawed

What would happen militarily if there was an alien invasion?.

Answers

Could the military really defeat aliens?

A team of 17 softball players need to choose three players.

Answers

and… need more context

The introduction of the cotton gin meant that enslaved workers on southern plantations no longer had to weave cotton cloth. Plant cotton seeds. Harvest cotton plants. Separate seeds from cotton.

Answers

Answer:

D. Separate seeds from cotton

Explanation:

Edge. 2022. Good luck!

Answer:

D) Pick cotton seeds

Explanation:

it's right

What is the best definition of the word emulate in this sentence? the cashier was ambitious and wanted to emulate the achievements of her manager, so she asked questions to find out how the manager had reached his position of leadership

Answers

Answer:

attempt to equal

Explanation:

i took the test :)!

What is the total number of grams of naoh formula mass 40

Answers

Answer:

8 gram

Explanation:

in case of NaOH, normality=molarity

so normality=molarity×acidity or basicity(in case of NaOH it's 1)

then

weight of NaOH required = volume in ml × equivalent weight × normality / 1000

so

1000× 40× 0.2/1000

=8 gram

When graphing motion on a distance-time graph, _____ is on the vertical axis and______ is on the horizontal axis.

Answers

Answer:

distance

time

Explanation:

What are the therapeutic effects of the said activity

Answers

The therapeutic effects of physical exercise include the following:

Decreased blood pressureMuscle development

What is Exercise?

This comprises of physical activities that involves movement of parts of the body with a corresponding increase in heart rate.

Exercise is therapeutic as it helps to lower blood pressure in individuals with risk of hypertension and also for muscle development.

Read more about Exercise here https://brainly.com/question/1365564

Sneha is, by nature, a nervous person. She has been having a hard time concentrating and seeks the help of a counselor, amanda. Amanda begins by being very warm. She does not direct sneha with regards to what she should talk about. Instead, amanda primarily focuses on empathizing with sneha and accepting her for who she is. Which therapeutic orientation is amanda most likely using?.

Answers

Client-centered therapy is a form of therapeutic orientation based on acceptance, therapist congruence (authenticity), and empathic understanding.

What is Client-centered therapy?

It is a psychological theory applied in therapeutic work that deals with the ways in which people consciously perceive themselves.

Characteristics of Client-centered therapy

The therapist accepts the client without judging her actions or thoughts, allowing the client to perceive her experiences without the distortion of everyday relationships.

Empathy is used, which implies the ability to enter the client's perspective and to perceive the world from it, as well as to experience the client's feelings.

Therefore, we can conclude that Client-centered therapy is based on the therapist's understanding, which makes it easier for the client to accept herself and her experiences.

Learn more about Client-centered therapy here: https://brainly.com/question/10021697

Which statement is not true about the figure at the right.

Answers

Answer:

wdym is there any pictures?

The locally linear approximation of the differentiable function f at x=3 is used to approximate the value of f(3. 2). The approximation at x=3. 2 is an overestimate of the corresponding function value at x=3. 2. Which of the following could be the graph of f ?

Answers

The linear approximation to f(x) at x = 3 is

L(x) = f(3) + f'(3) (x - 3)

so that

f(3.2) ≈ L(3.2) = f(3) + f'(3) (3.2 - 3)

f(3.2) ≈ f(3) + 0.2 f'(3)

The approximation is an overestimate, which means

f(3.2) - f(3) > 0

so that

f(3.2) ≈ f(3) + 0.2 f'(3)   ⇒   f'(3) ≈ (f(3.2) - f(3))/0.2 > 0

and this in turn mean f(x) is increasing as x grows larger than 3. Pick the graph that shows an increasing function.

Other Questions
Given f(x)= 3x+(1/4), Find f(1) and f(-1) What is the area of the following circle?radius =1 Suhana studies in a government school. The strength of the school is 12000, out of which 40% are girls. In her class there are 50 children and 20 are boys.In the month of January, 1500 students are taken on an educational trip to a museum. Arrangements are made for eatables. It is found that 30% prefer a veg. burger, 40% prefer a non-veg burger and 20% would like a mini-pizza. Suhana and her friends plan some games and fun activities. At the end, they all have a memorable trip. Suhana walks 30 minutes to her school everyday. Her father who is a farmer decides to buy her a bicycle. He has a cow and a buffalo on his farm. The two animals had cost him Rs 1800 and Rs 2400 respectively. Selling the cow will fetch him a profit of 10% whereas on the buffalo he will suffer a loss of 5%He decides to sell his buffalo. The next day, he goes to the market and completes the deal. The bicycle which costs Rs 900 is sold by the shopkeeper for Rs 1008. Suhanas father deposits Rs 1200 of the remaining amount in the bank at 9% p.a. for 3yrs. Suhana is grateful to her father and works very hard as she realizes the sacrifices her parents make for her.2.Q1. The percentage of boys in Suhanas school isa) 30%b) 60%c) 40%d) 50%3.Q2. Find the ratio of number of girls to number of boys in her class.a) 2:3b) 3:4c) 3:5d) 3:24.Q3 .How many students going for the trip prefer a veg burger?a) 300b) 450c) 400d) 3505.Q4. 20% in decimal form is ________a) 0.2b) 0.02c) 2.0d) 0.0020.6 written in percentage form is________a) 600%b) 65%c) 60%d) 6%7.Q6. Suhanas father incurs a loss of Rs_______ on the buffalo.a) Rs.120b) Rs.140c) Rs.100d) Rs.130 can some one help. thx A la Tia Ana Maria le gusta What is the value of angle X and angle Y in the triangle diagram below? will choose brainliest! Explain how the distance formula can be used to find the diameter of a circle? Which expression is equivalent to 0.6x? How does Martin Luther King Jr. s word choice achieve a particular effect? It stresses the personal and emotional nature of his protest. It emphasizes the overwhelming nature of injustice in the community. It explains the reasons for discrimination and injustice in Birmingham. Was slavery worse in North America or South America?. Fill in the blanks to explain. Need help ASAP will give 50 points What does money laundering accomplish A lot of rich people lost money in the stock market, but what made the Great Depression the Great Depression was massive ___________________ and accompanying hardship? Help, I looked up the answer but when I type it in it says it's wrong and this has to be turned in within this hour!! Which development most contributed to the educational and economic trendsdiscussed in the excerpt?(A)Civil Rights MovementB,growth of suburbsCbaby boomDGI Bill PLEASE HELP ME WHAT IS 32x54 413, 405, 397,. Find the 48th term. giving brainliest Hindus have a lot of different ways to worship. Agree or disagree with this statement. It should be 3 paragraphs. :)ik its a ridiculous question but my friends told me it would be a question in my exam sry i need to revise ;P