A 75m long train begins uniform velocity acceleration from rest . the front of the train has a speed of 23m/s when it passes a worker who is standing 180m from the front of train is started . what will be the speed of the last compartment as it passes the worker
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The last compartment would also have a speed of 23m/s as the train has uniform velocity.
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Hey mate,
● Answer-
v = 27.4 m/s
● Explaination-
Initially train was at rest.
u = 0
When front of train passes the worker,
v = 23 m/s, s = 180 m,
v^2 = u^2 + 2as
23^2 = 0 + 2×a×180
a = 1.47 m/s^2
When back of train passes the worker,
a = 1.47 m/s^2, s = 180+75 = 255 m,
v^2 = u^2 + 2as
v^2 = 0 + 2×1.47×255
v^2 = 750
v = 27.4 m/s
Therefore, speed of the last compartment as it passes the worker is 27.4 m/s.
Hope it helps...
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