A 1.5-kg mass attached to an ideal massless spring with a spring ...

[gonzo233]

A 1.5-kg mass attached to an ideal massless spring with a spring constant of 20.0 N/m oscillates on a horizontal, frictionless track.
 
  At time t = 0.00 s, the mass is released from rest at x = 10.0 cm. (That is, the spring is stretched by 10.0 cm.)
  (a) Find the frequency of the oscillations.
  (b) Determine the maximum speed of the mass. At what point in the motion does the maximum speed occur?
  (c) What is the maximum acceleration of the mass? At what point in the motion does the maximum acceleration occur?
  (d) Determine the total energy of the oscillating system.
  (e) Express the displacement x as a function of time t.

Question 2

A radioactive sample has a half-life of 10 min. What fraction of the sample is left after 40 min?
 
  A) 1/2
  B) 1/4
  C) 1/8
  D) 1/16

[JYan]

Answer to Question 1

(a) 0.58 Hz (b) 0.37 m/s, at the equilibrium position
(c) 1.3 m/s2, at maximum displacement
(d) 0.10 J
(e) x = (0.10 m) cos(3.7t)

Answer to Question 2

D

[gonzo233]

Both answers were spot on, thank you once again

[JYan]

Great! Please up vote