Answer:
6.8 m
Explanation:
Energy is conserved. The initial elastic potential energy (EE) stored in the spring is converted to gravitational potential energy (PE) in the wood at its maximum height. Elastic energy is equal to half the spring constant (k) times the square of the compressed distance (x). Gravitational potential energy is equal to the weight (mg) times the height (h).
EE = PE
½ kx² = mgh
½ (200 N/m) (2 m)² = (6 kg) (9.8 m/s²) h
h = 6.8 m