Total ME of 2kg Oscillating on 50 N/m Spring

[PrudensOptimus]

What is the total mechanical energy of a mass of 2 kg oscillating on a spring given that the maximum velocity of the mass is 5 m/s and the spring constant is 50 N/m?

 

[ShawnD]

The formula for mechanical energy is this:
E = (1/2)mv^2 + (1/2)kx^2

When the mass is at the equilibrium position, the spring is 0 from equilibrium and the mass is at maximum velocity. The formula looks like this then
E = (1/2)(2)(5)^2 + (1/2)(50)(0)^2
E = 25 Joules

Wasn't that easy :)