Can someone help me solve this? I've tried it a few times, but I keep getting answers that seem off. Like, for example, I'm getting 2.339 for part A, and it just seems completely off. So if you know the right formulas and can walk me through this, I'd appreciate it a lot!
The oscillatory motion of a horizontal spring mass system is described by the following equation: x(t) = (0.10m) sin(2π t/(0.94s) + π/5). The mass is 1.3kg mass and the spring constant is 65N/kg.
(a) Find the maximum speed (in m/s)
(b) Find the position of the mass at t = 0 s in meters.
(c) Find the speed of the mass at t = 0 s in meters
(d) Find the spring potential energy of the system at t = 0 s in Joules.
(e) Find the mechanical energy of the system relative to the equilibrium position at t = 0 s in Joules.
Use 10 N/kg for g.