I A ball of mass \(m\) oscillates on a spring with spring constant \(k=200 \mathrm{~N} / \mathrm{m}\). The ball's position is \(x=(0.350 \mathrm{~m}) \cos (15.0 t)\), with \(t\) measured in seconds.

a. What is the amplitude of the ball's motion?

A. \(0.175 \mathrm{~m}\)

\(\begin{array}{lll}\text { B. } 0.350 \mathrm{~m} & \text { C. } 0.700 \mathrm{~m}\end{array}\)

D. \(7.50 \mathrm{~m}\)

E. \(15.0 \mathrm{~m}\)

b. What is the frequency of the ball's motion?

A. \(0.35 \mathrm{~Hz}\)

B. \(2.39 \mathrm{~Hz}\)

C. \(5.44 \mathrm{~Hz}\)

D. \(6.28 \mathrm{~Hz}\)

E. \(15.0 \mathrm{~Hz}\)

What is the value of the mass \(m\) ?

A. \(0.45 \mathrm{~kg}\)

B. \(0.89 \mathrm{~kg}\)

C. \(1.54 \mathrm{~kg}\)

D. \(3.76 \mathrm{~kg}\)

E. \(6.33 \mathrm{~kg}\)

d. What is the total mechanical energy of the oscillator?

A. \(1.65 \mathrm{~J}\)

B. \(3.28 \mathrm{~J}\)

C. \(6.73 \mathrm{~J}\)

D. \(10.1 \mathrm{~J}\)

E. \(12.2 \mathrm{~J}\)

e. What is the ball's maximum speed?

A. \(0.35 \mathrm{~m} / \mathrm{s}\)

B. \(1.76 \mathrm{~m} / \mathrm{s} \quad\) C. \(2.60 \mathrm{~m} / \mathrm{s}\)

D. \(3.88 \mathrm{~m} / \mathrm{s}\)

E. \(5.25 \mathrm{~m} / \mathrm{s}\)