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P(4kg) (mks) 40N mm Two particles P and Q, of mass 4 kg and 6 kg respectively, are joined by a light inextensible string. Initially the particles are at rest on a rough horizontal plane with the string taut. The force of friction between particle P and the plane is 11.2 N and the force of friction between particle Q and the plane is 16.8 N. A constant force of magnitude 40 N is then applied to Q in the direction PQ, as shown in the diagram above. (a) Show that the acceleration of Q is 1.2 m s'z. (b) Calculate the tension in the suing when the system is moving. (c) State how you have used the information that the string is inextensible. After the particles have been moving for 7 s, the string breaks. The particle Q remains under the action of the force of magnitude 40 N. (d) Show that P continues to move for a further 3 seconds. (e) Calculate the speed of Q at the instant when P comes to rest