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[tex]U_o = 1/2*kx^2[/tex]

[tex]K_o = 0[/tex]

well work is being stored so K = 0 and U has the spring energy right?

[tex]U_f = mgh[/tex]

[tex]K_f = 0[/tex]

U_f = mgh because of the gravitational potention energy right? and K_f = 0 because it's at rest right when it reaches 35m? I'm not sure if K_f = 0 or not because i don't really know if the rocket is at it's max height when it reaches 35m.

well, setting them equal to each other...

[tex]1/2*kx^2 = mgh[/tex] and solving for k, i get 3.1 but the book gets 2.3 kN/M. what am i doing wrong?