Answer:
0.175 m/s
Explanation:
32.8105 cm = 0.328105 m
According to the law of conservation in energy, as the spring oscillates, its kinetic energy is converted to spring elastic energy and vice versa. So the maximum speed of the bananas occur when spring elastic energy is 0 and vice versa, spring elastic energy is maximum (at amplitude) with kinetic energy, and speed, is 0
[tex]E_e = E_k[/tex]
[tex]kx^2/2 = mv^2/2[/tex]
[tex]13.9602*(0.328105)^2/2 = 49.0943v^2/2[/tex]
[tex]v^2 = \frac{13.9602*(0.328105)^2}{49.0943} = 0.0306[/tex]
[tex]v = \sqrt{0.0306} = 0.175 m/s[/tex]
