Physics 9702/52 — October/November 2019

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.

It is suggested that the maximum height $h$ of the ball and the compression $x$ of the spring are related by the equation

where $r$ is the radius of the ball, $\rho$ 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 $\rho$.

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.