a single conservative force Fx= (2x+7) N acts on a particle of mass 6 kg as the particle moves along the X-axis from X1 = 1 m to X 2 = 5m. calculate the work done by this force​

Answers

Answer 1

Answer:

To calculate the work done by a force, we can use the formula:

Work = ∫F dx

In this case, the force is given by Fx = (2x + 7) N, and the particle moves along the X-axis from X1 = 1 m to X2 = 5 m. Let's calculate the work done.

Work = ∫(2x + 7) dx

Integrating the function (2x + 7) with respect to x, we get:

Work = (x^2 + 7x) evaluated from X1 to X2

Plugging in the values X2 = 5 and X1 = 1 into the expression, we have:

Work = (5^2 + 7 * 5) - (1^2 + 7 * 1)

= (25 + 35) - (1 + 7)

= 60 - 8

= 52

Therefore, the work done by the force is 52 Joules (J).

Explanation:


Related Questions

Other Questions
draw all four -hydroxyaldehydes that are formed when a mixture of acetaldehyde and pentanal is treated with aqueous sodium hydroxide find all solutions of the equation cos x sin x 2 cos x = 0 . the answer is a b k where k is any integer and 0 < a < , a first-line manager for a large electric generator manufacturer would: My son, daughter and dog have written yet another weather model. It's quite impressive, but they are having an issue with their microphysics scheme creating its own convection, thus indicating all sorts of fun weather where there isn't any. What should I tell them to help them with their dilemma?A. Perhaps they should consider another hobby?B. Try adding a complex cloud scheme.C. Need better data assimilation techniques.D.They should use the BMJ CP scheme. pitching the first ball for his softball team, Manuel makes use of the functions of his ___ nervous system's function. In the shower Emily yelps and then leaps to turn down the hot water in response to her __ nervous system A charge -5.5 nC is placed at (-3.1.-3) m and another charge 9.3 nC is placed at (-2,3,-2) m. What is the electric field at (1,0,0)m? When you compose a message, you want your audience to find the information it needs quickly and to understand it. Your message should be easy to read and comprehend. Strategic use of white space improves document readability. Which of the following techniques employ white space? Check all that apply. Using bulleted and numbered lists Using headings Using justified alignment Breaking paragraphs into shorter chunks Margins determine the reading area of a document. Complete the following sentence about margins and alignment with the best choices. Business letters and memos usually have margins of and are usually on the left. Typeface, font, and size influence how your message is read. Review the selection, and determine whether the following statement about typeface and font is true or false. A WIDE variety of typefaces are available for business writers. Different typefaces suggest different purposes and occasions. True or False: Font styles are a mechanical means of adding emphasis to your words. True False Headings are important for visual impact and readability. Which of the following sentences about headings are true? Check all that apply. Headings often appear in business reports. Headings should not be used in formal documents. Headings increase the skim value of a message. Read the following sentence, and determine which technique is most applicable to improve its readability. The letters you send to clients must be precise, stated with clarity, and utilize an economy of language. Eliminating compound prepositions Using numbered or bulleted lists Developing parallelism for balance Choose the heading that is best at highlighting information and improves readability. The Truth About ABC Corp. Profitability Financial Analysis of ABC Corp. The displacement of a wave traveling in the negative y-directionis D(y,t)=(9.0cm)sin(45y+70t+)D(y,t)=(9.0cm)sin(45y+70t+), wherey is in m and t is in s.What is the frequency of this wave?Wh Sklyer has made deposits of $680 at the end of every quarterfor 13 years. If interest is %5 compounded annually, how much willhave accumulated in 10 years after the last deposit? Walsh Enterprises manufactures tires for the Formula I motor racing circuit. For August 2020, it budgeted to manufacture and sell 3,500 tires at a variable cost of $80 per tire and total fixed costs of $52,500. The budgeted selling price was $107 per tire. Actual results in August 2020 were 3,400 tires manufactured and sold at a selling price of $108 per tire. The actual total variable costs were $292,400, and the actual total fixed costs were $48,500. Read the requirements. Requirement 1. Prepare a performance report with a flexible budget and a static budget. Begin with the actual results, then complete the flexible budget columns and the static budget columns. Label each variance as favorable or unfavorable. (For variances with a $0 balance, make sure to enter "0" in the appropriate field. If the variance is zero, do not select a label.) Actual Flexible-Budget Sales-Volume Static Flexible Budget Results Variances Variances Budget Units sold Revenues Variable costs Contribution margin Fixed costs Operating income 100000 Requirement 2. Comment on the results in requirement 1. The total static-budget variance in operating income is variance and a(n) manufactured and sold were primarily to the There is a(n) total flexible-budget sales-volume variance. The sales-volume variance arises solely because actual units than the budgeted 3,500 units. The flexible-budget variance in operating income is due in unit variable costs. For the standard normal distribution, find the value of c suchthat:P(z > c) = 0.6454 what are the 4 types of caps that affect adjustable rate mortgages which of the following is an accurate statement about classical greek architecture? The equity section of CFAS Company revealed the following information on December 31, 2022:Preference share capital, P100 par| P5,000,000Share premium-preference sharesOrdinary share capital, P503,200,000Share premium-ordinary shares463,899Subscribed ordinary share capitalRetained earnings-appropriated250,000Subscription receivable-ordinary sharesRetained earnings- unappropriated3,500,000Treasury shares-ordinaryHow much is the contributed capital of CFAS Company as of December 31, 2022? Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cone z = x + y and the plane z = 2 + y r(t) = Short Answer Questions (Please write in your own words)1. Distinguish between savings and investment.2. What are two things that are true when an economy is in equilibrium? which type of telescope is known to be difficult to keep aligned? a. rotating b. refracting c. reflecting d. radio Automobile batteries use 3.0 M H2SO4 as an electrolyte. How many liters (L) of 1.20 M NaOH solution will be needed to completely react with 225 mL of battery acid. The balanced chemical reaction is: H2SO4 (aq) + 2 NaOH (aq) Na2SO4 (aq) + 2 H2O (l) Automobile batteries use 3.0 M H2SO4 as an electrolyte. How many liters (L) of 1.20 M NaOH solution will be needed to completely react with 225 mL of battery acid. The balanced chemical reaction is: H2SO4 (aq) + 2 NaOH (aq) Na2SO4 (aq) + 2 H2O (l)A) 0.45 LB) 0.28 LC) 0.56 LD) 0.90 LE) 1.1 L how many days do you have to make a decision on a request to amend an individual's phi? locate a tax case that involves the vlauation of stock in the company that produces korbel champagne