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9 marksWork, Energy and Power

CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 6(b)(ii)

A truck of mass 1800 kg has an engine producing constant power of 90 kW, moving from rest in a straight horizontal line. Air resistance is ignored.

At the instant when the speed is 30 ms^-1, the engine is disengaged and a constant braking force of magnitude F Newtons is applied. The truck comes to rest 6 seconds later. Calculate the magnitude of F and the work done against the braking force during this time.

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Other parts of this question

  1. 6(a)(i)Given that the impulse acting on T has magnitude 0.8 N, calculate the speed, v, and the loss of kinetic energy in the collision.[9 marks]
  2. 6(a)(ii)Particle T subsequently collides and coalesces with a stationary particle of mass 0.3 kg. Calculate the speed, v_c, of the combined particles after this…[3 marks]
  3. 6(b)(i)Ignoring all air resistances, determine the time taken to reach a speed of 30 ms^-1.[4 marks]

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