A skydiver with mass m experiences a constant downward gravitational force F, mg where g is...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A skydiver with mass m experiences a constant downward gravitational force F, mg where g is the magnitude of the acceleration due to gravity. They also experience an upward drag force proportional to their velocity, Fa=cu, where c is a constant with c> 0. (a) Give the net downward force in terms of m, g, c, and v. Fnet = (Note, the first equality follows from Newton's Second Law which states that net force equals mass times acceleration or, equivalently, mass times the time derivative of velocity. That is, Fnet = m.) (b) Your answer above now gives a differential equation modelling the velocity of a skydiver. Rearrange this differential equation into the form A(v-B). What are A and B in terms of m, g, and c? A= B= (c) The skydiver reaches terminal velocity, t, when the gravitational and drag forces balance out resulting in a constant velocity. We can determine this terminal velocity from the differential equation by solving for when = 0. Solve for the terminal velocity in terms of m, g, and c. By= A skydiver with mass m experiences a constant downward gravitational force F, mg where g is the magnitude of the acceleration due to gravity. They also experience an upward drag force proportional to their velocity, Fa=cu, where c is a constant with c> 0. (a) Give the net downward force in terms of m, g, c, and v. Fnet = (Note, the first equality follows from Newton's Second Law which states that net force equals mass times acceleration or, equivalently, mass times the time derivative of velocity. That is, Fnet = m.) (b) Your answer above now gives a differential equation modelling the velocity of a skydiver. Rearrange this differential equation into the form A(v-B). What are A and B in terms of m, g, and c? A= B= (c) The skydiver reaches terminal velocity, t, when the gravitational and drag forces balance out resulting in a constant velocity. We can determine this terminal velocity from the differential equation by solving for when = 0. Solve for the terminal velocity in terms of m, g, and c. By=
Expert Answer:
Answer rating: 100% (QA)
downward force Fg mg upward force ev a Fret Now Fg F... View the full answer
Related Book For
University Physics with Modern Physics
ISBN: 978-0321696861
13th edition
Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford
Posted Date:
Students also viewed these mathematics questions
-
The sales manager for a publisher of college textbooks has six travelling salespeople to allocate to three different regions of the country. She has decided that each region should be assigned at...
-
for this case study carefully read the article titled "The Case for Reparations" The Atlantic Introduction Provide an overview of the situation Identify critical issues underlying the problems...
-
answer all questions as instructed below. make sure you have attended all questions .Comparative Architectures (a) Describe the organisation of a two-level branch predictor that makes use of a global...
-
You have the following information on two bonds Bond 1 Bond 1 Type Coupon Zero Coupon Term (Yrs) 3 3 Payment Frequency Annual Annual Face Amount ($) $25,000 $25,000 Coupon (%) 6% NA a. Calculate the...
-
A pendulum (mass m, unknown length) moves according to x = A sin (t? (a) Write the equation for vx(t) and sketch one cycle of the vx(t) graph? (b) What is the maximum kinetic energy?
-
Gateway owns three trucks acquired as stated below. They depreciate their trucks at 25% per year, using the reducing balance method and time apportioning in the year of acquisition. What will be the...
-
Howe and Duleys company is organized as a partnership. At the prior year-end, partnership equity totaled $150,000 ($100,000 from Howe and $50,000 from Duley). For the current year, partnership net...
-
The adjusted trial balance of Business Reduction Systems at March 31, 2016, follows: Requirements 1. Journalize the required closing entries at March 31, 2016. 2. Set up T-accounts for Income...
-
Can you do valuation of vodafone and verizon acqusition in 2 0 1 4 with real values?please provide all financial data and do all numerical calculations
-
For the case The WM. Wrigley Jr. Company: Capital Structure, Valuation, and the Cost of Capital(Darden Case: UVAF1482) please answer the following questions and explain your reasoningwhere...
-
One problem with NAFTA that is not shared by other trade blocs is that Select one: A. the countries speak different languages. B. the countries are at very different stages of economic development....
-
A farmer has an acre of specialty vegetables and is preparing for the summer harvest. Historically, this acre has yielded an average of 2,100 lbs of product with a standard deviation of 950 lbs. A...
-
Solve 3x 82+22 = (4).
-
(c) Compute EVPI and EVSI (in thousands of dollars). (Round your answers to one decimal place.) EVPI $ 3.6 EVSI $ 3.6 Xthousand x thousand Discuss whether the firm should consider a consulting expert...
-
Question 9 (1 point) If the common law requires employees of a bar establishment to monitor a potentially intoxicated patron and to possibly make an effort to intervene if there is an indication the...
-
B. A velocity potential is given by the equation: Q = x-y 3. (10 pts) Short answer, What special characteristics of the velocity potential make it very useful in identifying a type of flow and...
-
QS 4-5 (Algo) Recording purchases, returns, and discounts taken LO P1 Prepare journal entries to record each of the following transactions of a merchandising company. The company uses a perpetual...
-
Prove that if Σ an is absolutely convergent, then a. an
-
The electron in a hydrogen atom can be considered to be in a circular orbit with a radius of 0.0529 nm and a kinetic energy of 13.6 eV. If the electron behaved classically, how much energy would it...
-
Two swift canaries fly toward each other, each moving at 15.0 m/s relative to the ground, each warbling a note of frequency 1750 Hz. (a) What frequency note does each bird hear from the other one?...
-
For electronic devices such as amplifiers, what are some advantages of transistors compared to vacuum tubes? What are some disadvantages? Are there any situations in which vacuum tubes cannot be...
-
8. Under what circumstances would a foreign entitys financial statements need to be both remeasured and translated? Would this process have an effect on both the income statement and other...
-
1. Define the functional currency concept and briefly describe how a foreign entitys functional currency is determined. Why is this definition critical from a financial reporting perspective?
-
3. What procedure is used to allocate the investment purchase price at the date of acquisition of a foreign subsidiary?
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App