## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

The block's potential energy at the maximum height will be equal to the initial energy stored in the spring. We can find the maximum height $h$ as: $PE = U_s$ $mgh = \frac{1}{2}k(\Delta x)^2$ $h = \frac{k~(\Delta x)^2}{2mg}$ $h = \frac{(25~N/m)(0.10~m)^2}{(2)(0.050~kg)(9.80~m/s^2)}$ $h = 0.26~m$ The ice cube goes up to a height of 0.26 m.