The equation for finding the maximum compression of a spring is given by Hooke's Law: F = -kx, where F is the force applied to the spring, k is the spring constant, and x is the displacement of the spring from its equilibrium position.
The angle of the incline plane affects the maximum compression by changing the gravitational force acting on the mass. As the angle increases, the gravitational force component parallel to the incline also increases, resulting in a greater force to compress the spring.
Other factors that can affect the maximum compression of the spring include the mass of the object, the spring constant, and the coefficient of friction between the incline plane and the mass. These factors can all affect the net force acting on the mass on the incline and therefore the maximum compression of the spring.
To determine the maximum compression from a graph of force vs. displacement, you can find the point where the slope of the graph changes from positive to negative. This indicates the point at which the force applied by the spring is no longer able to overcome the gravitational force, and the spring begins to compress.
Yes, the maximum compression of a spring can be greater than the length of the spring itself. This can happen if the mass on the incline plane has enough kinetic energy to continue compressing the spring even after it has reached its natural length. However, this is not a common occurrence and usually requires a very high initial velocity or a very stiff spring.