Example 2 - 9702/22/O/N/15: A trolley T moves at speed 1.2 m s–1 along a horizontal frictionless surface. The trolley collides with a stationary block on the end of a fixed spring, as shown in Fig. 3.1. The mass of T is 250 g. T compresses the spring by 5.4 cm as it comes to rest. The relationship between the force F applied to the block and the compression x of the spring is shown in Fig. 3.2.

(a) Use Fig. 3.2 to determine
(i) the spring constant of the spring,
(ii) the work done by T compressing the spring by 5.4 cm.

(b) The spring then expands and causes T to move in a direction opposite to its initial direction.
At the time that T loses contact with the block, it is moving at a speed of 0.75 m s–1. From the time that T is in contact with the block,
(i) describe the energy changes,
(ii) determine the change in momentum of T.

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