- #1
GenericHbomb
- 3
- 0
Homework Statement
A spring is attached to a ceiling, and has a relaxed length of 25cm. When a mass m=.80kg is attached to the spring it stretches to an equilibrium length of L0=34cm.
a.)Find the Spring Constant of the Spring?
b.)I lift the mass until the spring returns to its relaxed length, and then release it. When the mass returns to the equilibrium length, what is its speed?
c.)After I release the mass and it falls, what is the length of the spring when the mass reaches its lowest point?
Homework Equations
K=mg/x
E1 + Wnc = E2
The Attempt at a Solution
A.) k=mg/x
k= [.80(9.8)]/.09
k=87 N/m
b.) E1= E2
0=.5mv2 + .5kx2 +mgh
0=.5(.8)v2 + .5(87)(.092) + .8(9.8)(-.09)
v=.9397 m/s
c.) I am not really sure where to go on C. I tried setting E1=E2 up as follows but my final answer was smaller than the equilibrium length so it can't be right.
E1=E2
.5mv2 + .5kx2 +mgh=.5mv2 + .5kx2 +mgh
.5(.8)(.93972)+.80(9.8)(34)= .5(87)x2