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Physics · May / June 2024 · Paper 41 · Question 2

0625

As printed in the paper

The question as text

Fig. 2.1 shows two identical trolleys, P and Q, held at rest on a frictionless horizontal surface. A load is fixed to trolley P. 1.5 kg load trolley P trolley Q compressed spring Fig. 2.1 There is a compressed spring between trolley P and trolley Q. The trolleys are released. As the spring expands, it pushes the trolleys apart. Trolley Q moves to the right at a constant speed of 0.36 m / s. The mass of each trolley is 1.2 kg. The mass of the load on trolley P is 1.5 kg. The spring has negligible mass.

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  • 2(a)(i)[3]

    0.16 m / s

    conservation of momentum OR mP vP = mQvQ OR 2.7 × vP = 1.2 × 0.36 OR (mQvQ =) 0.432 seen

    (vP =) mQvQ / mP OR 1.2 × 0.36 / 2.7

  • 2(a)(ii)[3]

    0.078 J

    (k.e. =) ½mv2 OR (k.e. =) ½ × 1.2 × 0.362

    (k.e. =) ½ × 1.2 × 0.362

  • 2(b)[2]

    (from) elastic (energy store in the compressed spring)

    to kinetic (as final energy store of trolleys)

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