The short freight train in the figure consists of a locomotive L of mass m₁ = 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 = 0.2 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 L (b) A 2 B Calculate the following: (a) the velocity of the locomotive just before coupling 1 between the locomotive and wagon A becomes tight; the joint velocity of the locomotive and wagon A just after coupling 1 becomes tight; (c) if the velocity of the full train (locomotive with wagons A and B) just after coupling 2 becomes tight is equal to 0.5 m/s, calculate the kinetic energy lost during the coupling between wagons A and B.
The short freight train in the figure consists of a locomotive L of mass m₁ = 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 = 0.2 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 L (b) A 2 B Calculate the following: (a) the velocity of the locomotive just before coupling 1 between the locomotive and wagon A becomes tight; the joint velocity of the locomotive and wagon A just after coupling 1 becomes tight; (c) if the velocity of the full train (locomotive with wagons A and B) just after coupling 2 becomes tight is equal to 0.5 m/s, calculate the kinetic energy lost during the coupling between wagons A and B.
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Transcribed Image Text:(a) 0.77 m/s locity of the l
(a) 0.63 m/s
(a) 0.45 m/s
(a) 0.40 m/s
(b) 0.42 m/sity of the full t
(b) 0.52 m/s g the coupling
(b) 0.30 m/s
(b) 0.37 m/s
(c) 19.4 kJ
(c) 14.6 kJ
(c) 26.6 kJ
(c) 8.3 kJ
Transcribed Image Text:The short freight train in the figure consists of a locomotive L of mass m₁ = 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 = 0.2 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
L
(b)
1
A
2
B
Calculate the following:
(a) the velocity of the locomotive just before coupling 1 between the locomotive and wagon A becomes tight;
the joint velocity of the locomotive and wagon A just after coupling 1 becomes tight;
(c) if the velocity of the full train (locomotive with wagons A and B) just after coupling 2 becomes tight is equal to 0.5 m/s, calculate the kinetic
energy lost during the coupling between wagons A and B.
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