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edugen.wleyplus.com/edugen/student/mainfr un wiley PLUS: MYWiley PLUS I Help I Contact us I Log ou Cutnell, Physics, 9e GENERAL PHYSICS 1 AND 2 (PHYS 209/210 Assignment MESSAGE HYINSTRUCTOR FULL scREEN PRINTER VERSON .BACx Chapter 10, Problem 17 In Concept SImulation 10.3 you can explore the concepts that are important in this problem. A block of mass m 0.659 kg is fastened to an unstrained horizontal spring whose spring constant is k 84,8 N/m. The block is given a displacement of +0.152 m, where the sign indicates that the displacement is along the +x axis, and then released from rest. (a) What is the force (with sign) that the spring exerts on the block just before the block is released? (b) Find the angular frequency w of the resulting oscillatory motion. (c) What is the maximum speed of the block? (d) Determine the magnitude of the maximum acceleration of the block. (a) Number Units (b) Number (c) Number Units (d) Number Units Click if you would like to show work for this question Open Show Work By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor, Question Attempts Unlimited SAVE FOR LATER SUBMIT ANSWER Copyright o 2000-2015 by John wieyssons, Inc. or related companies. All rights reserved.

Explanation / Answer

(a):

force exerted by spring on the block = kx = 84.4*0.152 = 12.8288 N

(b):

omega = sqrt(k/m) = sqrt(84.8/0.659) = 11.3437 radians/s

(c):

max speed of the block = amplitude of oscillation * angular velocity(omega) = 0.152*11.3437= 1.7242 m/s

(d):

max acceleration = amplitude* omega^2 = 0.152* (11.3437)^2 = 19.5593 m/s^2