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9709 P41 - Nov 2013 - Q6
3944

Particles A and B, of masses 0.3 kg and 0.7 kg respectively, are attached to the ends of a light inextensible string. The string passes over a fixed smooth pulley. A is held at rest and B hangs freely, with both straight parts of the string vertical and both particles at a height of 0.52 m above the floor (see diagram). A is released and both particles start to move.

(i) Find the tension in the string.

When both particles are moving with speed 1.6 m s-1 the string breaks.

(ii) Find the time taken, from the instant that the string breaks, for A to reach the floor.

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