1. The force of the spring is calculated using Hookes’ Law which is F=ke. Where F is Force, k is the spring constant and e is change in spring distance.
3. Period is 15 seconds
From table 1, it is clear that when the mass is big, the change in x is correspondingly large. This is because Force is directly proportional to the distance the spring is stretched or compressed away from its rest position. The spring constant for spring 1 is small therefore the spring is stretched and compressed relatively long.
From table 2, the change in x is very small and therefore the spring is stretched and compressed to a small extent. This explains why the graph has a small gradient compared to graph 1. The spring constant in this graph is higher compared to spring 1 but the elastic modulus of the spring is also higher hence the spring cannot be stretched longer compared to spring 1.
From the results in table 3, the change in x is very high throughout regardless of the weight used. This is because the spring constant is very high and the elastic modulus of the spring is small (less than one). This therefore will stretch and compress the spring longer than spring 1 and 2 and hence the large change in x. The gradient of the graph is higher
In this graph, the spring constant is relatively higher and the elastic modulus of the spring is very high. The change in x is therefore small. This explains why the slope (gradient) of the graph is very small compared to graphs 1 and 3.
From the results in table 5, the spring constant, K, is very high and the elastic modulus of the spring is also high. Like in graph 4, the gradient of the graph is smaller compared to the gradients in graphs 1 and 3.
From the above graphs, it can be concluded that when the elastic modulus of the spring is high, the Y-intercept of the graph is negative and when the elastic modulus is small, the gradient is small and the Y-intercept of the graph is positive.
The relationship between period and amplitude of a spring from this experiment shows that they are directly proportional. When the amplitude of the spring is high, the period is correspondingly high and when the amplitude is low, the period is also low.
The comparison between the five springs is quite interesting because all the springs have different spring constants. The amplitude of spring 1 is big because the change in x is also big and therefore the period becomes big. In spring 3, the change in x is large but also the elastic modulus is small which brings about the small amplitude compared to other springs which have bigger elastic modulus.