. 5/9 points I Previous Answers SerPSET9 15.P.028 My Notes Ask Your Teacher A 3.

Question

. 5/9 points I Previous Answers SerPSET9 15.P.028 My Notes Ask Your Teacher A 3.10-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 23.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. (a) Find the force constant of the spring. 115 N/m (b) Find the frequency of the oscillations. 969 (c) Find the maximum speed of the object. 1.218 m/s (d) Where does this maximum speed occur? x=±0 (e) Find the maximum acceleration of the object. 7.42 m/s2

Explanation / Answer

(f) maximum accleeation occur at extreme position so

at=+-0.2 m

(g)total energy=0.5*k*0.2^2=2.3J

(h)given

x=0.2cos(wt)

v=dx/dt=-0.2wsin(wt)

When x=0.2/3

We got cos(wt)=1/3

Sin(wt)=sqrt(8)/3

v=-1.15 m/s

(i)a=-w^2*0.2cos(wt)=-2.47 m/s^2

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