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06/01/2021 12:23 pm
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A 8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate:
(a) the net accelerating force;
(b) the acceleration of the train; and
(c) the force of wagon 1 on wagon 2.
1 Answer
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06/01/2021 12:27 pm
(a) Net accelerating force
= Force exerted by engine - Frictional force
= 40000 - 5000 = 35000 N
(b) Acceleration,
a = \(\frac{Accelerating\;force}{Mass\;of\;train}\)
= \(\frac{35000 N}{10000+8000kg}\)
= 1.94 ms-2
(c) Force of wagon 1 on wagon 2 = mass of 4 wagons (behind wagon 1) × acceleration
= 8000 kg × 1.94 m s-2
= 15520 N