Answer
The answers are below.
Work Step by Step
The frequency is given by:
$$ f= \sqrt { \frac{k}{m}} \frac{1} { 2 \pi}$$
This gives:
.84 Hz
We now find the period:
$$T=1/f=1.19 s$$
We now find the maximum velocity:
$$ 1/2mv^2 = 1/2kx^2$$
$$ v = \sqrt{ \frac{kx^2}{m}}$$
We plug the given values in to find:
1.32 m/s
We know the force is kA, so:
$$F=kA=.25*5.6=1.4 N/m$$
