The force of a particle at x=-0.660 m can be calculated using the formula F(x) = - alpha * x^3. In this case, alpha = 1.50 J/m^4, so the force would be -1.50 J/m.
The force is directly proportional to the position of the particle, as seen in the formula F(x) = - alpha * x^3. This means that as the position changes, the force will also change accordingly.
Alpha represents the stiffness of the material or system that the particle is in. A higher alpha value indicates a stiffer material, meaning it will require more force to move the particle.
The force can be measured using instruments such as force gauges or strain gauges. These instruments can measure the amount of force applied to an object or the amount of deformation in a material, which can then be used to calculate the force.
The force at x=-0.660 m is specific to this position and cannot be directly compared to other positions without knowing their respective alpha values. However, in general, the force will decrease as the position moves further away from x=-0.660 m.