An object of mass m is moving in a straight line with velocity v and is slowing down from a force F = -kv where k is a constant. At time t = 0, the velocity is [tex]v_{0}[/tex]. How can I derive an equation for the object's velocity as a function of t?
Answers
Answer:
The equation of the object's velocity in time is [tex]v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }[/tex].
Explanation:
By Newton's Laws of Motion, the equation of motion that represents the deceleration of the object is described by:
[tex]\Sigma F = - k\cdot v = m\cdot \frac{dv}{dt}[/tex] (1)
Where:
[tex]k[/tex] - Damping constant, in newton-second per meter.
[tex]m[/tex] - Mass, in kilograms.
[tex]v[/tex] - Velocity, in meters per second.
[tex]\frac{dv}{dt}[/tex] - Acceleration, in meters per square second.
Then, we modify (1) until the following ordinary differential equation with separable variables is found:
[tex]-\frac{k}{m} \int \, dt = \int {\frac{dv}{v} }[/tex] (2)
Then, we integrate the equation and find the following solution:
[tex]-\frac{k}{m}\cdot (t-0) = \ln \frac{v}{v_{o}}[/tex]
[tex]- \frac{k\cdot t}{m} = \ln \frac{v}{v_{o}}[/tex]
Finally, we clear the velocity in the solution of the differential equation is:
[tex]v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }[/tex]
The equation of the object's velocity in time is [tex]v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }[/tex].
Related Questions
whats the point of giving someone a brainliest mark? im just curious
Answers
Answer:
The person who mark someone's answer as brainiest, will get 3 points.
Explanation:
(only if u want)
but basically they get extra points so they can get to a higher level
hope that helps!!
_____ has been used for washing but not sewage
greywater
brown water
groundwater
ethanol
blackwater
Answers
Hope that is correct.
BRAINLY IS APRECIATED!!!
Brown water is Minerals, sediment, or rust that accumulates in the water mains over time is the cause of brown or discolored water. And is not good to use for drinking and/or washing clothing. But, it is okay to shower in and use in toilets.
That makes BROWN WATER an incorrect answer.
Groundwater is used for many things such as watering plants, and drinking water for 99% of rural areas. Groundwater is not used in washing machines but many people are trying to revert to groundwater for sewage.
That makes GROUNDWATER an incorrect answer.
Ethanol is used for drinks, paint, caned fruit and sugar.
That makes ETHANOL an incorrect answer.
Black water is waste water from bathrooms and toilets that contains faecal matter and urine.
That makes BLACKWATER an incorrect answer.
Grey water is used for washing but not sewage.
(People are trying to use grey water for toilets now.)
That makes GREY WATER the correct answer.
Transit-oriented development in Southeast Asian cities is an innovative strategy to minimize crippling traffic jams. One aspect of transit-oriented development is the use of dedicated rapid-transit bus lanes to more efficiently connect residential neighborhoods with activity nodes. An added benefit of this strategy that would appeal to advocates of sustainable city-development programs is the
Answers
Answer:
Reduction in carbon emissions
Explanation:
Took the quiz
The benefit of this strategy is that it would appeal o the advocates of sustainable city development by the reduction in the level of carbon emissions.
What is sustainable city development?A sustainable city is one that is made on a sustainable basis and refers to a city that does not harm or affect the environment or the ecological cycle.
A sustainable city is one city that is made of sustainable or earth-friendly projects and has a lesser carbon consumption rate.
Find out more information about Southeast Asia.
brainly.com/question/26864497
Please I need help with this thanks to anyone willing to help
Answers
Answer:
D
Explanation:
Snuff and chew are both tobacco products so d is correct.
Huge help needed ! im lost and need an explanation to the correct answer.
(I will mark brainliest)
Answers
Answer:
m<MON = 100°
Explanation:
Given:
Area of shaded sector LOM = 2π cm²
NL = 6 cm
Required:
m<MON
Solution:
m<MON = 180° - m<LOM (angles in a straight line)
We don't know m<LOM. Therefore, let's find m<LOM.
Area of a sector = θ/360 × πr²
Area of sector LOM = 2π cm²
r = 3 cm
θ = m<LOM = ?
Plug in the values
2π = m<LOM/360 × π × 3²
2π = m<LOM/360 × 9π
2π = m<LOM × 9π/360
2π = m<LOM × π/40
Multiply both sides by 40
2π × 40 = m<LOM × π
80π = m<LOM × π
Divide both sides by π
80π/π = m<LOM
80 = m<LOM
m<LOM = 80°
✔️m<MON = 180° - m<LOM (angles in a straight line)
Substitute
m<MON = 180° - 80°
m<MON = 100°
the diameter is 9in find it's circumference in terms of piπ
Answers
Answer:
28.278inch
Explanation:
Circumstances of a circle can ba found with these experiension
C= 2πr
Where r= radius
Given diameter= 9 inch
Radius= diameter/2= 9/2= 4.5 inch
Input the values, we have
C= 2×π ×4.5
= 28.278inch
Hence, the circumstances is 28.278inch
Which of the following trends best explains how nations detailed on the map were able to quickly contain the outbreak of Ebola?
They provided effective medical response where the disease originated.
They invested in improved living conditions in areas affected by the disease.
They used modern technology to improve prevention programs and screen travelers.
They used modern technology to revitalize agricultural communities affected by the disease.
Answers
Answer:
They used modern technology to improve prevention programs and screen travelers.
Explanation:
It makes sense. I took th test
AlohaS4
Answer & Explanation:
C) They used modern technology to improve prevention programs and screen travelers.
They quickly contained Ebola in a little span of 3 years. The plague lasted from December 26th, 2013 to June 9, 2016. In 2016 all cases were confirmed to be taken care of, as the majority had herd immunity. There were only 11,323 lost ones during this time period. This may sound like a lot, but, so far in our outbreak, which has lasted from December 2019 to the current time, May 19, 2021. It's not even fully cured and we're sitting on a 587,000+ count with over 33 million cases! It's been less time than the Ebola and we've managed to rise numbers in this thing. However, with the help of technology, we can find vaccines for these diseases and help people to stay safe as well.
Remember, stay safe! This vaccine is out! Make sure to get yours as soon as you possibly can, and if you don't, still stay safe! Wear your mask or just keep your distance from those you don't know. Do simple things like coughing or sneezing into your elbow or into a tissue, it helps to keep your loved ones, yourself, and the people around you safe.
~Aloha
P.S. Enjoy Summer break, everyone. I know it's coming up for most of you! I know it's coming up for me!
Several studies have been conducted on human memory and on subjects' propensity to remember erroneously events and details that did not occur. Elizabeth Loftus performed experiments in the mid-seventies demonstrating the effect of a third party's introducing false facts into memory.4 Subjects were shown a slide of a car at an intersection with either a yield sign or a stop sign. Experimenters asked participants questions, falsely introducing the term "stop sign" into the question instead of referring to the yield sign participants had actually seen. Similarly, experimenters falsely substituted the term "yield sign" in questions directed to participants who had actually seen the stop sign slide. The results indicated that subjects remembered seeing the false image. In the initial part of the experiment, subjects also viewed a slide showing a car accident. Some subjects were later asked how fast the cars were traveling when they "hit" each other, others were asked how fast the cars were traveling when they "smashed" into each other. Those subjects questioned using the word "smashed" were more likely to report having seen broken glass in the original slide. The introduction of false cues altered participants' memories.
Answers
Tina and Kylie saw an ad on television comparing different brands of
paper towels. They decided to run their own experiment to see
which towel could absorb the most liquid. They took several brands
of paper towels and cut them into equal sized strips. They put the
strips in small containers. Next they poured water into each
container. After 2 minutes, they pulled the strips out and measured
how much water was left. What was one variable they forgot to
control?
Answers
Answer:
They forgot to measure the amount of water poured into each container.
Explanation:
When an experiment is set up, all variables must be established in the same proportion for all experimental units. In this case, for the experiment to be efficient and present true results, it is important that the paper towel strips have the same size, the containers where they will be inserted are the same and they are tested in the same amount of water, that is, each container must contain the same amount of water. However, the amount of water was not measured in the above experiment and this was the variable that the researchers forgot to control, which will harm the veracity of the results.
6. According to National Geographic, one result or the digital age is that (2 points)
Answers
Answer:
i dont know what im supposed to say
Explanation:
The aluminum change of properties within the 25% range is?
Please don't answer
Answers
Answer:
Thanks friend
Explanation:
the layer of ozone gas absorb rays that come from the sun to the earth
Answers
Answer:
Good ozone is found in the stratosphere, far above the Earth's surface. At that height, it absorbs and scatters ultraviolet (UV) radiation from the Sun, particularly the most dangerous UV-B and UV-C forms. Ozone is the planet's natural sunscreen.
Explanation:
How has the development of agricultural technologies
affected South Asian society?
Increased profits for farmers have contributed to
greater social equality.
Increased fertilizer consumption has necessitated
greater reliance on aid from the United States.
Increased food production has supported larger
workforces in the manufacturing and service sectors.
Increased food surpluses have allowed South Asia to
trade food for advanced goods and technologies.
Answers
Answer:
C. Increased food production has supported larger workforces in the manufacturing and service sectors.
Explanation:
I received a 90% on this test, and it seems the most feasible option.
Every other answer for the test is in the .txt file attached to this answer :)
DATE ANSWERED: 5/12/2021
Answer: c
Explanation:
makes the most sense based on the passage because it talks about the rising food production and how that has supported the increasing manufacturing and service sectors of the workforce
please help me
what are six common air pollutants
Answers
Answer:
Carbon Monoxide, sulfur dioxide, Nitrogen dioxide, Lead, Particles, Ozone.
Answer:
These six pollutants are carbon monoxide, lead, nitrogen oxides, ground-level ozone, particle pollution (often referred to as particulate matter), and sulfur oxides.
#CarryOnLearning
Plz solve this question............
Answers
Answer:
61^2=60^2+missing side^2. you will get your ans
Answer:
x= 11
Explanation:
What is the arc length of the central angle is 210 degrees and the radius of the circle is 6 in?
Answers
Answer:
Length of arc = 21.99 inch (Approx.)
Explanation:
Given:
Radius of given circle = 6 inch
Central angle = 210°
Find:
Length of arc
Computation:
Length of arc = [θ/360][2πr]
Length of arc = [210/360][2(22/7)(6)]
Length of arc = [0.583][12(3.1428)]
Length of arc = [0.583][12(3.1428)]
Length of arc = [0.583][37.7136]
Length of arc = 21.987
Length of arc = 21.99 inch (Approx.)
One type of society that's benifits outweigh the costs.-Sociology
Answers
The correct answer to this open question is the following.
Although there are no options provided we can say the following.
One type of society that's benefits outweighs the costs is the Agricultural society.
The reason why in these agricultural societies the benefits outweigh the costs is that farmers produce crops and cattle to trade or exports, but also they can use this food for their own consumption so they can feed their families and have this necessity covered.
So today these societies can have their basic necessities covered and trade another percentage of their production to generate a profit.
Which of the following best reflects the prevailing economic thought at the time of FDR’s inaugural address in 1933?
Answers
I will help you with this if you help me on my most recent question I promise
Your friend is arguing with you about social groups. She claims that her mom's large corporation is an example of a social group. How would you
BEST explain to her why the employees of a big corporation are NOT considered a social group?
OA They have different backgrounds, educations, and lifestyles.
ов. They don't do any fun social activities that are sponsored by the corporation.
OC. They would not generally come in contact with each other all at the same time.
OD They work as individuals, so they likely never work with anyone else in their company.
Answers
Answer:
A. They have different backgrounds, educations, and lifestyles.
Explanation:
A corporation can be defined as a corporate organization that has facilities and owns or controls assets used for the production of goods and services in at least one country other than its headquarter (home office) located in its home country.
This ultimately implies that, a corporation is a corporate organization that owns or controls its business in two or more countries.
Generally, a corporation is considered to be perpetual in nature and it is a body that comprises of a group of people such as directors, shareholders etc., who act as a single entity.
Sociology can be defined as a social science that deals with the study of the socio-cultural interaction of humans with respect to the structure, functioning and development of their society.
The main purpose of sociology is to develop and enhance human knowledge or understanding of important socio-cultural processes through the gathering and analysis of all aspects of the social life of the people living in a society.
A social group refers to two or more people (individuals) that shares similar characteristics, interacts with one another based on mutual understanding and expectations while collectively possessing a sense of unity.
This ultimately implies, a social group share a common identity, sense of unity and backgrounds.
Hence, employees of a big corporation are not considered a social group because they have different backgrounds, educations, and lifestyles.
Answer: A.) They have different backgrounds, educations, and lifestyles.
Taking the quiz rn
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answers
Answer:
H + 2 + A = 92
Therefore, Hannah is 47 years old and Anthony is 45.
Explanation:
Since Hannah and Anthony are siblings who have ages that are consecutive odd integers, and the sum of their ages is 92, to determine which equations could be used to find Hannah's age, H, if she is the older sibling, the following calculation:
H + 2 = A
H + 2 + A = 92
H + A = 90
90/2 = A
45 = A
45 + 2 = H
47 = H
Therefore, Hannah is 47 years old and Anthony is 45.
Search it to find me in fb
Answers
Explanation:
sorry I don't know about it how to put link
This is what I do when I have nothing else to do!
Answers
Answer:
Lol! Same
Please need help with this
Answers
Answer:
tobacco use
Explanation:
Tobacco remains the leading preventable cause of death in this country and in the world. Tobacco use is a major factor in four out of the five leading causes of death: heart disease, cancer, lung disease and stroke
Answer quick please I’ll give you brainliest.
1. Based on your knowledge of world history, which of the following contributed LEAST to
environmental changes in the twentieth century?
a. The growth of regional trading blocs in the late twentieth century
b. Development of heavy
industry by communist governments in the Soviet Union and China
c. Increased population growth as a result of scientific breakthroughs
d. The globalization of consumer culture
Answers
Answer:
D: the globalization of consumer culture.
Explanation:
During a meeting, a co-worker introduces herself as a native of Brazil who moved to America with her parents when she was three months old.
What is this co-worker describing?
ОА.
her master status
OB. her social role
O c. her ascribed status
OD.
her achieved status
Answers
Answer:
The correct answer is C. Her ascribed status.
Explanation:
Ascription is the acquisition of a social position and status without being subject to personal influence, as is the case with inheritance, gender or age. This is in contrast to acquisition, in which personal influence does play a role and the social position is determined by performance and capacities.
Where in class society birth determined the class to which one belonged, this changed with the advent of industrial society with its market economy. Capacities and achievements became increasingly important and there was a shift towards meritocracy.
why it would be more difficult to pass a budget in 2019 compared to 2021?
Answers
Answer:
Yes because in 2021 you have to take more into accountability, such as social distancing, masks, corona guidelines, and other things.
wanna gets some aid s kidsssss
Answers
Answer:
No.
Explanation:
Aids is the final stage of HIV. It's when the immune system is incredibly weakened and can't fight off outer infections. It usually goes into this stage after 10 years, and aids effects approximately 1.2 million people in America.
Once Klara was diagnosed with breast cancer, she dedicated her life to helping others experience quality lives no matter what circumstances
they faced. What does this BEST demonstrate?
OA Klara's social role
ОВ.
Klara's master status
OC Klara's primary group
OD. Klara's secondary group
Answers
Answer:
B. Klara's master status.
Explanation:
Sociology can be defined as a social science that deals with the study of the socio-cultural interaction of humans with respect to the structure, functioning and development of their society.
The main purpose of sociology is to develop and enhance human knowledge or understanding of important socio-cultural processes through the gathering and analysis of all aspects of the social life of the people living in a society.
A sociologist refers to an individual (scientist) that studies sociology i.e a social scientist.
This ultimately implies that, sociologists study how society affects a group of people and how the people affect the society in return.
A master status can be defined as a definite social position (status) of an individual which typically shapes his or her relationships or interactions with others. Thus, it dominates every other social positions and as such, it's considered to be one of the greatest status in the life of an individual.
Furthermore, a master status is based on factors (status) such as gender, religion, occupation, race, education, ethnicity, sickness, etc.
Basically, a master status for some may include being diagnosed with cancer or acquired immune deficiency syndrome (AIDS).
In this scenario, Klara dedicated her life to helping others experience quality lives no matter what circumstances they faced, haven been diagnosed with breast cancer. This best demonstrate Klara's master status.
Describe Galilean satellites of Jupiter.
Answers
Answer:
The Galileo moons were observed in either 1609 or 1610 when Galileo made improvements and his telescope which enabled him to observe celestial bodies more distinctly than ever
what is the meaning effiency 85% of simple machine
Answers
Explanation:
85% efficiency of simple machine means that with 100% input, the machine will give a work output of 85%. EXPLANATION: The efficiency of a machine is the ratio of its Mechanical Advantage to its Velocity
plz GIVE BRAINLIEST + THANKS :)