To determine the maximum velocity and acceleration of the mass attached to the vertical spring, we need to consider the principle of conservation of energy.
The potential energy stored in the spring can be calculated using Hooke's Law:
Potential Energy (PE) = 0.5 * k * x^2
Where:
- PE is the potential energy stored in the spring
- k is the spring constant
- x is the displacement from the equilibrium position
Given that the mass is stretched 15.0 cm initially, which is equivalent to 0.15 meters, we need to find the spring constant to proceed further.
To find the spring constant, we need to know the force constant of the spring or have additional information about the system. Without that information, it is not possible to determine the exact maximum velocity and acceleration of the mass.
If you have the force constant or any additional details, please provide them, and I'll be happy to assist you further.