Question

WRITE IN THIS ARE 15mm Pro8kg) DO NOT WRITE IN THIS AREA (06kg). 10.4m TIITTTTTTTTTTTTTT Figure 1 A small ball, P. of mass 0.8kg, is held at rest on a smooth horizontal table and is attached to one end of a thin rope. The rope passes over pulley hat is fixed at the edge of the table. The other end of the rope is attached to another small ball, Q. of mass 06kg, that hangs freely below the pulley Ball P is released from rest, with the rope taut, with P at a distance of 1.5 m from the pulley and with O at a height of 0.4 m above the horizontal floor, as shown in Figure 1. DO NOT WRITE IN THIS AREA Ball descends, hits the floor and does not rebound The balls are modelled as particles, the rope as a light and inextensible string and the pulley as small and smooth Using this model (a) show that the acceleration of Q, as it falls, is 4.2ms? (b) find the time taken by P to hit the pulley from the instant when P is released. (c) State one limitation of the model that will affect the accuracy of your answer to part (a). (1)

Answer 1

Ans ¿ 1.5 > for B, Ym Tot me 9 - Tamea > Tamice a = x 9.8 6 x .8 ge matog 0.6 0.6+0.8 = 402 mla? 4.2 - (b) The time will take to touch the ground i os hot? - t he - 2104, 0.43.64 sec. The same distence orum will be covered by a then. The moment B touches the ground, the tension becomes zero and velocity por A will be comfort ie rzut at va of at V= 4.20.4364 1.833 m/s n . - 0.6 secs. Distance left = 1.5 - 0.4= time required = lol 1.833 Total time taken by A to hit : the pulley = = 0.4364 +0.6 1:0 364 secs. Scanned with e foctionner