A student is investigating the motion of a wooden block on an inclined plane, as shown in Fig. 1.1. A falling body causes the wooden block to accelerate. string wooden block plane P θ pulley Q -falling body Fig. 1.1 The wooden block is initially at rest at point P and has velocity v at point Q. It is suggested that the relationship between v and the angle of the plane to the horizontal is (B + m)v² / 2s = Bg - mg sin θ where B is the mass of the falling body, m is the mass of the wooden block, s is the distance between P and Q and g is the acceleration of free fall. Design a laboratory experiment to test the relationship between v and θ. Explain how your results could be used to determine a value for g. 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.
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