The formula for calculating force is F = m x a, where F is force, m is mass, and a is acceleration.
The maximum force can be calculated by multiplying the spring constant (k) by the displacement (x) of the mass from its equilibrium position. This can be represented by the equation Fmax = kx. In this case, the maximum force would be 144 N/m x 0.466 kg = 67.104 N.
The acceleration can be calculated using the formula a = F/m, where a is acceleration, F is force, and m is mass. Substituting in the values from the given information, the acceleration would be 67.104 N / 0.466 kg = 144.06 m/s^2.
The mass of the object does not directly affect the maximum force or acceleration, as long as the spring constant remains constant. However, a heavier mass may require a stronger spring (higher spring constant) to reach the same maximum force and acceleration as a lighter mass with a weaker spring.
The spring constant (k) represents the stiffness of the spring and its ability to resist deformation. A higher spring constant means the spring will require more force to stretch or compress, resulting in a higher maximum force and acceleration on the mass attached to it. It is an important factor in understanding the behavior of the system and predicting its motion.