A \(1.00 \mathrm{~kg}\) block is attached to a horizontal spring with spring INT constant \(2500 \mathrm{~N} / \mathrm{m}\). The block is at rest on a frictionless surface. A \(10.0 \mathrm{~g}\) bullet is fired into the block, in the face opposite the spring, and sticks.

a. What was the bullet's speed if the subsequent oscillations have an amplitude of \(10.0 \mathrm{~cm}\) ?

b. Could you determine the bullet's speed by measuring the oscillation frequency? If so, how? If not, why not?