Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. physics
  3. a 0.5-kg mass is attached to a spring with spring

A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences...

60.1K

Verified Solution

Question

Physics

A 0.5-kg mass is attached to a spring with spring constant 2.5N/m. The spring experiences friction, which acts as a forceopposite and proportional to the velocity, with magnitude 2 N forevery m/s of velocity. The spring is stretched 1 meter and thenreleased.

(a) Find a formula for the position of the mass as a function oftime.

(b) How much time does it take the mass to complete oneoscillation (to pass the equilibrium point, bounce back, and returntraveling in the same direction)? 1

(c) By what fraction has the amplitude of the motion decreasedin this time?

(d) Do the answers to (b) and (c) depend on the initial positionof the mass? Why or why not?

(e) By immersing the spring in one of a variety of rare,delicious syrups, it’s possible to increase the damping constantwhile keeping the spring constant the same. Can you increase thedamping constant so that the spring doesn’t oscillate at all, butjust returns to its starting point? What’s the smallest value ofthe damping constant that will do this?

Answer & Explanation Solved by verified expert
4.3 Ratings (855 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Geometry
1.2K views

D M A C B Points A B C and D lie on circle M...

Medical Sciences
1.2K views

How do Follicle-Stimulating Hormone (FSH), Luteinizing Hormone (LH), estradiol, and androgens interact with each other to...

Physics
1.2K views

12 A point source ca metal plate Which of the following curves may represent the...

Physics
1.2K views

Two balls of same mass and carrying equal charge from a fixed support of length...

Physics
1.2K views

14 In the circuit all bulbs consume same power resistance of bulb 1 is 36...

Geometry
1.2K views

To make the 3d sketch for each of the frames which contain the views in...

Statistics
1.2K views

The mean height for females is 64 inches with a standard deviation of 2 inches...

Calculus
1.2K views

Use the one to one property of logarithms to solve for x Do not include...

Accounting
1.2K views

Lien makes the following purchases of shares of Intech a public Canadian company 1/1/2001...

Accounting
1.2K views

Xin is 68 years old, and this year she begins receiving annuity payments from Kool...

Accounting
1.2K views

Formulas for excel 2 On January 1 of the current year, the...

Accounting
1.2K views

21.1 A resident company pays a fully franked dividend of $700 to a resident shareholder....