Problem 16P

A 0.60-kg mass vibrates according to the equation x = 0.45 cos 6.40t, where x is in meters and tis in seconds. Determine (a) the amplitude, (b) the frequency, (c) the total energy, and (d) the kinetic energy and potential energies when x = 0.30 m.

SolutionStep 1We can proceed with the thermal energy equation, E =Th/2) Nk T B Where, N - Number atoms or molecules -23 kB- Boltzmann constant = 1.38 ×10 J/K T - temperature of the system Initially, the system was at T = 20 The thermal energy had reduced by 10% and remaining is only 90%.These are the data provided to complete the problem and we have to find out the finaltemperature, T