Answer:
the maximum height reached by the marble is 11.84 m.
Explanation:
Given;
mass of the marble, m = 0.02 kg
extension of the string, x = 0.08 m
force applied to the string, F = 58 N
Apply the principle of conservation of energy;
elastic potential energy = gravitational potential energy
¹/₂fx = mgh
[tex]h = \frac{Fx}{2mg} \\\\h = \frac{58 \ \times \ 0.08}{2 \ \times \ 0.02 \ \times \ 9.8} \\\\h = 11.84 \ m[/tex]
Therefore, the maximum height reached by the marble is 11.84 m.