A particle of mass m=2kg moves in simple harmonic motion according to

x(t)=2cos(50t) where x is in meters and t is in seconds. Its total energy in Joules is:10253

a. 5000

b. 9000

c. 10000

d. 80222

e. 2032012

The energy of a sping-mass system is the sum of kinetic energy plus potential energy, whuihc is constant for any point on its path:

E = (1/2)mv^2 + (1/2)kx^2

I suggest that you calculate the velocity at x=0, which is when PE=0, and from that the energy of the system. Post back with your solution and we'll check it for you.