Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. physics
  3. a spring with spring constant 14 n/m hangs from th

A spring with spring constant 14 N/m hangs from the ceiling. A ball is attached to...

Free

50.1K

Verified Solution

Question

Physics

A spring with spring constant 14 N/m hangs from the ceiling. Aball is attached to the spring and allowed to come to rest. It isthen pulled down 7.0 cm and released. The ball makes 29oscillations in 25 s seconds.

a) What is its the mass of the ball?

b) What is its maximum speed?

Answer & Explanation Solved by verified expert
4.4 Ratings (830 Votes)

According to the given problem,

Given,

spring constant k = 14N/m

amplitude A = 7.0 cm = 0.07 m

frequency f = number of oscillations/time

                  = 29 / 25 s

                  = 1.16 Hz

angular speed ω = 2πf

                         = (2)(3.14)(1.16 Hz)

                         = 7.2885 rad/s

a)Using the angular spee relation of spring-mass system ,

ω = √(k/m)  

mass m = k/ω2   

m = (14 N/m) / (7.3 rad/s)2

m = 0.264 kg

b)Maximum velocity vmax = Aω

                                    = (0.07 m)(7.3 rad/s)

                                    = 0.51 m/s

I hope you understood the problem, If yes rate me!! or else comment for a better solution.
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

Medical Sciences
1.2K views

Efferent division of the nervous system (human) (select the MOST CORRECT statement): Autonomic preganglionic neurons always communicate...

Advance Math
1.2K views

class : Analysis Real Ques : give 2 example periodic function and show the periodic function is...

Calculus
1.2K views

5 Evaluate the definite integral given above Enter your answer as an exact fraction if...

Algebra
1.2K views

0 3 1 13 3 e Multiplicative Inverse Property 13 3 3 13 013 13...

Algebra
1.2K views

Determine whether the graph has an Euler path Euler circuit or neither If the graph...

Accounting
1.2K views

what would be some of the enterprise wide risks associated with Robatellis Pizzeria? Or in...

Accounting
1.2K views

1. In November 2021, Olivo sold its PizzaPasta restaurant chain that qualified as a component...

Accounting
1.2K views

****** Scenario 9: Statement: Sophia retired at age 48 and...

Accounting
1.2K views

please help with the following question 1. Verify the following...

Accounting
1.2K views

What states claimed what is now North Alabama as part of their western holdings during...

Finance
1.2K views

a zero coupon bond: 11) A zero coupon bond: A) is...

Finance
1.2K views

The beta estimate of a computer company is 1.65 and the standard error of the...