2. Assuming an uncertainty in k of k, uncertainty in m of m, uncertainty in x of x, uncertainty in v of v, and that g is perfectly known (i.e., g = 0), what is the expression for the uncertainty in the total energy Etot of equation 4.1? Refer to the uncertainty rules described in the Introductory Information chapter of the lab manual. Show your work!

Etot = Uspring + Ug + K = 1 2 kx2 + mgx + 1 2 mv2 (4.1)