Problem 15.16 Part E A 155 g mass attached to a horizontal spring oscillates at

Question

Problem 15.16 Part E A 155 g mass attached to a horizontal spring oscillates at a frequency of 2.50 Hz Att0s, the mass is at z- 5.60 cm and has t'z 35.0 cm/s Determine. The maximum speed Express your answer to three significant figures and include the appropriate units. ale Units Submit My Answers Give Up Part F The maximum acceleration Express your answer to three significant figures and include the appropriate units. Submit My Answers Sive P Part c The total enargy Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

F)

Let us find amplitude A,

Emax = KEmax

1/2kA^2=1/2*m*Vmax^2

½*0.968*A^2=1/2*0.155*0.42^2

A=0.168m

By Newton’s law

Fnet ma

-kA=ma

a=-kA/m

a=-0.968*0.168/0.155

a=-1.05 m/s^2

G)

Emax = KEmax

Emax =1/2*m*Vmax^2

Emax =1/2*0.155*0.42^2

Emax = 0.0137 J

H)

Let us find velocity vf at t=0.800s

vf=vi+at

vf= -35-1.05*0.800 = -35.84 m/s

By law of conservation of energy

Emax=1/2*k*xf^2+1/2*m*vf^2

Plugging values,

0.0137 = ½*0.968*xf^2+1/2*0.155*35.84^2

xf= 14.3 m

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