a) correct value. Spring constants are always positive.
b) also correct, but I get 0.896 for T, if I keep three significant figures. Since only one siginificant fgure is justified, 0.9 s is OK for the period.
A block (mass 0.5 kg) is hanging from the end of a spring. The spring is observed to
stretch by 20 cm in order to come to equilibrium.
a) What is the spring constant?
F=-kx
F=mg=.5(9.8)=4.9 N and x=-.2meters
-4.9/-.2meters=24.5 =k
should the constant be negative or positive because I said that x is negative? Is that right?
b) From the equilibrium position the block is now stretched by 10 cm and released from rest.
What is the period of the oscillations?
so w=sqrt(k/m)=sqrt(24.5/.5)=7 rad/s
f=w/2pi=1.11 Hz
T=1/f=0.901 s
1 answer