A student is investigating the maximum height reached by a light plastic ball when it is launched vertically from a compressed spring, as shown in Fig. 1.1. [Figure 1.1] It is suggested that the maximum height h of the ball and the compression x of the spring are related by the equation 4πr³pgh = 1kx2 3 where r is the radius of the ball, p is the density of the ball, g is the acceleration of free fall and k is the spring constant of the spring. Design a laboratory experiment to test the relationship between h and x. Explain how your results could be used to determine a value for p. You should draw a diagram, on page 3, showing the arrangement of your equipment. In your account you should pay particular attention to: • the procedure to be followed • the measurements to be taken • the control of variables • the analysis of the data • any safety precautions to be taken.