A 0.3 -kg mass slides along the track shown with negligible friction.
Initially the mass is held at rest at point A, against the spring having
a stiffness of (500(N)/(m))/(K). The undeformed length of the spring is 0.4 m .
length
(a) If L=0.3m, calculate the velocity the slider reaches at point B,
v_(B).
(b) Determine the maximum value of L if the slider is to reach point
C.
natural length of spring 188.4m,L=0.3m, spring is compressed by 0.1 m .
(a) ,U_(A->B)^(')=\Delta T+\Delta V_(g)+\Delta V_(e)-(1)
U_(A->B)^(')=0
\Delta T=(1)/(2)m(v_(B)^(2)-x_(A)^(2))=0.15V_(B)^(2)J
\Delta v_(g)=mg(h_(B)^(2)-h_(A)^(-))=mgh_(B)=2.943h_(B),|h_(B)=2\times 0.3=0.6
\Delta v_(e)=1K(x_(B)^(2)-x_(A)^(2))=1.1658J