#11 Train cars A train locomotive with a mass of 4000 kg is coupled to a train c

Question

#11 Train cars A train locomotive with a mass of 4000 kg is coupled to a train car with a mass of 5000 kg which is in turn coupled to a caboose with a mass of 2000 kg. If the locomotive accelerates at a rate of 1.45 m/s2, what is: (i) the tension in the coupling to the 5000 kg train car and (ii) the tension in the coupling between the 5000 kg train car and the caboose? Assume all components of the train accelerate at the same rate and neglect the effects of friction. A. (i) 10,200 N; (ii) 2,900 N O B. (i) 10.200 N; (ii) 10,200 N ° C. (i) 2.900 N; (ii) 10,200 N 0 D. (i) 6.600 N: (ii) 6,600 N

Explanation / Answer

Acceleration of the caboose is 1.45 m/sec^2.

Therefore the tension between the train car and caboose drives the caboose forward with the given acceleration.

Hence T2=1.45*2000 N= 2900 N

Now T1-T2 drives the train car forward

So,

T1-T2= 1.45*(5000)N= 7250N

Therefore T1= 10150N

Hence the answer is A

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