A spring-powered toy launcher uses a spring of constant k=400N/m compressed by 0.10m to project a 50g ball. If 30% of the stored elastic energy is lost to non-useful effects, find the speed with which the ball leaves the launcher.
a) 8.9m/s
b) 10.6m/s
c) 7.5m/s
d) 4.9m/s