  Question

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 $$5000N$$ then calculatea) the net accelerating force.b) the acceleration of the train andc) the force of wagon $$1$$ on wagon $$2$$.

Solution

a) Net accelerating force = Force exerted by engine – Frictional force.(Here the frictional force is subtracted because it opposes the motion)$$= 40000 – 5000 = 35000 N$$$$= 3.5 \times 104 N$$.b) From Newton’s second law of motion,Accelerating force = mass of the train * Acceleration of train,$$a = \dfrac{F}{m}$$Mass of train = Mass of engine + Mass of all wagons,$$= 8000 + 5 \times 2000$$$$= 8000 + 10000$$$$= 18000 Kg$$.$$\therefore$$ Acceleration $$=\dfrac{35000}{18000}=\dfrac{35}{18}$$$$= 1.95 ms^{-2}$$.c) Force of wagon $$1$$ on wagon $$2$$= Mass of the engine * Acceleration,$$= 800 \times 1.95 = 15600 N$$.Physics

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