Forces and Motion

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Question 5
Medium74%

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.

[3]
b.

Find the speed of the particles after 5 seconds.

[2]
c.

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

[3]
d.

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

[4]
e.

Find the thrust in the rod as the system decelerates.

[3]

Forces and Motion Questions

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