Answer to Question #189329 in Physics for Jenna McIntyre

Question

A block of mass 1.0 kg is pushed against a spring, with a spring constant of 1000 N/m. When the block is released it move up a hill of height 0.204 m as shown in the diagram above. The block has a speed of 3.46 m/s at the top of the hill. How much was the spring compressed in the beginning?

Answer 1

$$0.5kx^2=0.5mv^2+mgh\\1000x^2=(1)(3.46)^2+(1)(9.8)(0.204)\\x=0.12\ m$$