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Forces and Motion

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Question 18

Two particles P P\,P and QQQ, of mass 4 kg and 6 kg respectively, are joined by a light horizontal rod. The particles are initially at rest when a constant force F F\,F of magnitude 30 N is applied to QQQ, as shown in the diagram. The force is applied for 5 s. During the motion, the resistance to P P\,P has a constant magnitude of 2 N and the resistance to Q Q\,Q has a constant magnitude of 4 N.

Diagram showing two particles, P and Q, connected by a light horizontal rod. A constant force of 30 N is applied to particle Q, pointing to the right. Particle P is to the left of particle Q.

a.

Find the acceleration of the particles as the system moves under the action of the 30 N force and hence find the speed of the particles after 5 seconds.

[5]
b.

Find the tension in the rod as the system moves under the action of the 30 N force.

[3]
c.

After 5 seconds the force is removed and the system decelerates to rest. The resistances to motion are unchanged. Find the acceleration of the particles as the system decelerates and hence find the distance moved by P P\,P as the system decelerates.

[7]
d.

Find the thrust in the rod as the system decelerates.

[3]
Markscheme

Forces and Motion Questions

  1. A Level
  2. /Maths
  3. /Forces and Motion

182 exam-style questions on Edexcel A Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.

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