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 of length 75 cm and mass 2.5 kg swings with a mechanical energy of 0.015 J. What is the amplitude?
-
Is there any difference between a partnership and a joint venture?
-
Describe two different scenarios: one that causes the price of diamonds to rise and one that causes the price to fall.
-
Dotball Candies manufactures jaw-breaker candies in a fully automated process. The machine that produces candies was purchased recently and can make 4,400 per month. The machine costs $ 9,500 and is...
-
a) You currently owe $2,778 to your credit card that charges an annual interest rate of 16%. You make a $200 of new charges every month and make a payment of $172 every month. What will your credit...
-
Class: Psychology The Influence of Slow-Paced Breathing on Executive Function Laborde, S., Allen, M. S., Borges, U., Hosang, T. J., Furley, P., Mosley, E., & Dosseville, F. (2022). The influence of...
-
Taking into account these sources of customer data, discuss how the data that is gathered can be utilized to gain a first mover advantage, or help to sustain a competitive advantage if implemented....
-
1. What is the rational for the company having board of directors and in which legislation describes boards' and functions and responsibilities? 2. Describe how each of following regulatory...
-
A 40-year-old person buys a 20-year deferred 15-year term annuity contract for a single upfront premium of $700,000. Interest earnt by the insurance company is assumed to be 6% over the life of the...
-
A laptop has a listed price of $895.95 before tax,If the sales rate is 7.75% find the total cost cost with sales cost included. Andrew bought tacos and left 25% tip at $2 What was the price of the...
-
Fixed expenses Selling and Administrative$130,000 Interest Expense$10,000 Variable Expenses Cost of goods sold$ 7 At what price can we break even at 10,000 units?
-
Chaz Corporation has taxable income in 2023 of $1,312,500 for purposes of computing the $179 expense and acquired the following assets during the year: Asset Office furniture Computer equipment...
-
The first law of thermodynamics is sometimes whimsically stated as, You cant get something for nothing, and the second law as, You cant even break even. Explain how these statements could be...
-
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...
-
List some tax advantages of retirement investing.
-
Go to the Web site of Yahoo! Finance (http://finance.yahoo.com). Enter the ticker symbol for Home Depot (HD) and Lowes (LOW). For each firm, click on Profile and note the ratio for Profit Margin (the...
-
Describe why you should itemize deductions as opposed to taking the standard deduction.
Study smarter with the SolutionInn App