Question

The short freight train in the figure consists of a locomotive L of mass $m_L = 100$ tonnes and two iron-ore wagons A and B, each of mass $m_W = 50$ tonnes. Note that 1 tonne is equal to 1000 kg. The locomotive exerts a constant tractive force $F = 100$ kN on the rails as the train starts from rest. There is $s = 0.3$ m of slack in each of the couplings between the locomotive and wagons. Immediately after each coupling becomes tight the two coupled vehicles have the same velocity; that is the coupling becoming tight can be treated in the same way as a collision with a coefficient of restitution $e = 0$. link to image Calculate the following: (a) the velocity of the locomotive just before coupling 1 between the locomotive and wagon A becomes tight; (a) 0.77 m/s (b) the joint velocity of the locomotive and wagon A just after coupling 1 becomes tight; (b) 0.52 m/s (c) the joint velocity of the locomotive and wagon A just before coupling 2 between wagon A and wagon B becomes tight. (c) 0.82 m/s

          The short freight train in the figure consists of a locomotive L of mass $m_L = 100$ tonnes and two iron-ore wagons A and B, each of mass $m_W = 50$ tonnes. Note that 1 tonne is equal to 1000 kg. The locomotive exerts a constant tractive force $F = 100$ kN on the rails as the train starts from rest. There is $s = 0.3$ m of slack in each of the couplings between the locomotive and wagons. Immediately after each coupling becomes tight the two coupled vehicles have the same velocity; that is the coupling becoming tight can be treated in the same way as a collision with a coefficient of restitution $e = 0$.

link to image

Calculate the following:
(a) the velocity of the locomotive just before coupling 1 between the locomotive and wagon A becomes tight;
(a) 0.77 m/s
(b) the joint velocity of the locomotive and wagon A just after coupling 1 becomes tight;
(b) 0.52 m/s
(c) the joint velocity of the locomotive and wagon A just before coupling 2 between wagon A and wagon B becomes tight.
(c) 0.82 m/s

The short freight train in the figure consists of a locomotive L of mass mL = 100 tonnes and two iron-ore wagons A and B, each of mass mW = 50 tonnes. Note that 1 tonne is equal to 1000 kg. The locomotive exerts a constant tractive force F = 100 kN on the rails as the train starts from rest. There is s = 0.3 m of slack in each of the couplings between the locomotive and wagons. Immediately after each coupling becomes tight the two coupled vehicles have the same velocity; that is the coupling becoming tight can be treated in the same way as a collision with a coefficient of restitution e = 0.

link to image

Calculate the following:
(a) the velocity of the locomotive just before coupling 1 between the locomotive and wagon A becomes tight;
(a) 0.77 m/s
(b) the joint velocity of the locomotive and wagon A just after coupling 1 becomes tight;
(b) 0.52 m/s
(c) the joint velocity of the locomotive and wagon A just before coupling 2 between wagon A and wagon B becomes tight.
(c) 0.82 m/s

Added by Catherine V.

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