Answer 12

The extension, x, of a spring is 1.3 ± 0.1 m when a force, F, of 4.5 ± 0.5 N is applied to it. Using worst case scenarios, it can be shown that k = 3.5 ± 0.7 N m^-1

Question 13

The equation of a straight line is y = mx + c.

For a set of linear data, m has been determined as 2.2 ± 0.1 m^-3 and c has been determined as 0.8 ± 0.2 g m^-3.

When x = 4.70 ± 0.05 g, the value of y with its associated error (found from worst case scenarios) will be -

y = 11.1 ± 0.2 g m^-3

y = 11.1 ± 0.6 g m^-3

y = 11.1 ± 0.8 g m^-3

y = 11 ± 1 g m^-3