Answer to Question #195054 in Classical Mechanics for katrina

Question

A 1.0 kg mass is attached to a horizontal spring which undergoes SHM. The graph of EPE as a function of position is shown. The total energy of the oscillating system is 0.8 J. 

What is the maximum displacement of the oscillating mass? 

d. What is the spring constant of the system? 

e. What is the potential energy at the position of 4 cm? 

f. What is the kinetic energy at the position of 4 cm? 

Answer 1

c)

$A=2\cdot 4=8~cm,$

d)

$E=\frac{kA^2}{2}\implies k=\frac{2E}{A^2}=\frac{2\cdot 0.8}{0.08^2}=250~\frac Nm,$

e)

$E_{P4}=\frac{1}{2^2} E=\frac{0.8}{4}=0.2~J,$

f)

$E_{K4}=E-E_{P4}=0.8-0.2=0.6~J.$