A train ofmass 1000 ton is moving with an acceleration of 0.5 m/s2 and the resistance to the motion is
200 N per ton. If the last bogie of 200 ton is suddenly detached from the train, what will be the new
acceleration of the train?
Cind the acceleration of
3
Answers
Given : A train of mass 1000 ton is moving with an acceleration of 0.5 m/s² and the resistance to the motion is 200 N per ton.
the last bogie of 200 ton is suddenly detached from the train,
To Find the new acceleration of the train
Solution:
m = 1000 ton = 1000 * 1000 kg
resistance to the motion is 200 N per ton.
resistance to the motion = 200 * 1000 = 200000 N
a = 0.5 m/s²
Applied Force = ma + resistance to the motion
=> Applied Force = 1000000 * 0.5 + 200000
=>Applied Force = 500000 + 200000
=> Applied Force = 700000 N
last bogie of 200 ton is removed
Hence resistance to the motion = 200 * (1000 - 200) = 160000 N
Net Force = 700000 - 160000 = 540000N
Net mass = 1000 - 200 = 800 ton = 800000 kg
Net acceleration = 540000 / 800000
= 0.675 m/s²
new acceleration of the train = 0.675 m/s²
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