When a mass of m = 324 g is attached to a spring and the mass-spring system is set into oscillatory motion, the period of the motion is t = 0.507 s. determine the following.

(a) frequency of the motion in hertz hz

(b) force constant of the spring n/m

(c) amplitude of the oscillation, if the total energy of the oscillating system is 0.263 j

The starship enterprise is caught in a time warp and spock is forced to use the primitive techniques of the 20th century to determine the specific heat capacity of an unknown mineral. the 125-g sample was heated to 96.3°c and placed into a calorimeter containing 85.9 g of water at 20.0°c. the heat capacity of the calorimeter was 14.2 j/k. the final temperature in the calorimeter was 24.5°c. what is the specific heat capacity (in j/g°c) of the mineral? enter to 4 decimal places.