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What is the Spring Constant?

A spring is hanging from the ceiling. Attaching a 600 g mass to the spring causes it to stretch 18.0 cm in order to come to equilibrium.

What is the spring constant?

Known variables:
g= 9.81
ΔL = 18cm

k = mg/ΔL

=(.6)(9.8 m/s2)/.18

= 3.27 N/m

From equilibrium, the mass is pulled down 10 cm and released. What is the period of oscillation?

T= 2π√(m/k)

T= 2π√(.6kg/32.7 N/m)

=.8511 s

What is the maximum speed of the mass?

vmax = 2π(fA)

f= 1/.851


vmax = 2π (1.175)(.10)

= .738m/s

At what position or positions does it have this speed?


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