• šŸ“‹ Revise, Reflect, Refine, Q13 (Page 138)
    A 1000 kg car is moving along a road at a constant speed. Suddenly, the driver notices some obstruction ahead and applies the brakes to come to a complete stop. (Graph: speed constant at 35 m s⁻¹ from A at t = 0 to B at t = 1 s, then decreasing to 0 at C at t = 3 s.)
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    Answer
    • (i) How does the car move between A and B?
      • At constant speed of 35 m s⁻¹.
      • This is the reaction time — the driver has seen the obstruction but the brakes have not been applied yet.
    • (ii) Kinetic energy of the car at A
      • K = ½mv²
      • K = ½ × 1000 × (35)²
      • K = ½ × 1000 × 1225
      • K = 612500 J
    • (iii) Work done by the brakes between B and C
      • The car goes from 612500 J of kinetic energy to 0.
      • Work done by brakes = change in kinetic energy = 0 − 612500
      • Work done by brakes = − 612500 J (negative — brake force is opposite to motion)
    • (iv) What does the kinetic energy transform into?
      • Mainly thermal energy (heat) — due to friction between the brakes and wheels, and tyres and road.
      • Some of it becomes sound energy.
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