1. ans: 49.0 cm/s; use v = sqrt[k*(X²-x²)/m].

2. ans: 0.41; use f = sqrt(g/L).

3. ans: 9.0; use T = 2p*sqrt(L/g).

4. ans: 20 m/s²; w = sqrt(k/m). Acceleration amplitude = w²*X, and max accel is at max displacement.

5. ans: 8.0 x10^-12 m; use kx²/2 = 1.6 x10^-21 J.

6. ans: 7.1 Hz; like number 6, but solve for w and then divide by 2p.

7. ans: 1.6 m/s; I used velocity amplitude = w*(displacement amplitude), w = sqrt(g/L). The displacement amplitude is 30*p*L/180.

8. ans: 16 m/s; the rotation speed with r = .05 m. v = (3000/60)*p*0.10