A student investigates the motion of a trolley on a wooden surface, as shown in Fig. 1.1. mass m -trolley wooden surface [Figure 1.1] A mass m is placed on the trolley. A mass P is attached to the trolley by string which passes over a pulley. When this mass falls, it pulls the trolley along the surface. The trolley is initially at rest. The student investigates how the speed v of the trolley at a distance d from the initial position of the trolley varies with m. It is suggested that the relationship between v and m is 2d/v² = (m+R) / (Pg-Q) where g is the acceleration of free fall and Q and R are constants. Design a laboratory experiment to test the relationship between m and v. Explain how your results could be used to determine values for Q and R. 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.