Answer:
9.9 m/s
Explanation:
from the question we are given the following
length (L) = 25cm = 25 / 100 = 0.25m
spring constant (K) = 78 N/m
mass of the ball (m) = 50g = 50 / 1000 = 0.05 kg
At maximum compression all energy is potential energy and at maximum velocity all energy is kinetic energy, and from the conservation of energy the two energy must be he same. Therefore
potential energy at max compression = kinetic energy at max velocity
(1/2) x K x L^2 = (1/2) x m x V^2
(1/2) x 78 x 0.25^2 = (1/2) x 0.05 x V^2
V^2 = 97.6
V = 9.9 m/s
