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3 marksKinematics and Dynamics

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

Two particles R and T move in the same straight line. Particle R (0.4 kg) and Particle T (0.2 kg). R moving with speed 5 ms^-1 catches up with T moving with speed v ms^-1. After collision, T has speed 5 ms^-1. Impulse on T has magnitude 0.8 N.

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 collision.

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  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(b)(i)Ignoring all air resistances, determine the time taken to reach a speed of 30 ms^-1.[4 marks]
  3. 6(b)(ii)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…[9 marks]

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