A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of...

90.2K

Verified Solution

Question

Physics

A spring of negligible mass stretches 3.00 cm from its relaxedlength when a force of 6.60 N is applied. A 0.400-kg particle restson a frictionless horizontal surface and is attached to the freeend of the spring. The particle is displaced from the origin to x =5.00 cm and released from rest at t = 0. (Assume that the directionof the initial displacement is positive. Use the exact values youenter to make later calculations.) (a) What is the force constantof the spring? N/m (b) What are the angular frequency ?, thefrequency, and the period of the motion? ? = rad/s f = Hz T = s (c)What is the total energy of the system? J (d) What is the amplitudeof the motion? cm (e) What are the maximum velocity and the maximumacceleration of the particle? vmax = m/s amax = m/s2 (f) Determinethe displacement x of the particle from the equilibrium position att = 0.500 s. cm (g) Determine the velocity and acceleration of theparticle when t = 0.500 s. (Indicate the direction with the sign ofyour answer.) v = m/s a = m/s2

Answer & Explanation Solved by verified expert

3.8 Ratings (737 Votes)

SOLUTIONPart aThe constant forcecan be obtained usingWhere is the force applied and is the displacement Isolating from equation 1 we haveReplacing values wegetSolving weobtainPart bThe angular frequencyis defined asWhere is the constant force and is the 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