Mechanics doubt in Newton's Law of Motion.

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SUMMARY

The discussion centers on calculating the tension in a coupling between an engine and a carriage using Newton's Law of Motion. The engine, with a mass of 105 tonnes, exerts a tractive force of 25,750 Newtons, while the carriage, weighing 30 tonnes, experiences resistances of 1/100th and 1/150th of their respective weights. The participants emphasize the need to apply Newton's second law to derive two equations involving acceleration and tension. The correct tension in the coupling is determined to be 496 N.

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Vikram10
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Question-1. An engine of mass 105 tonnes is coupled to and pulls a carriage of mass 30 tonnes.The resistance to the motion of the engine is 1/100th of its weight.The resistance to the motion of the carriage is 1/150th of its weight.If the tractive force exerted by the engine is 25750 Newton.The tension in the coupling is
Options- A.4960 N B.496 N C.49.6 N D.4.96 N


Resistance <- Carriage ->Tension


Resistance <- Engine -> Tractive force
...Tension <-


I used this method to get the answer but was unable to get so.
Someone please help.o:)
 
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The resultant force FR is 25,750N. Tension-Resistance=FR
 
The diagrams look OK.
Now write Newton's second law for each object.
You'll have two equations with two unknowns (acceleration and tension).
Make sure the weight is in the same units as the traction force.
For example, for the carriage: 30 tons = 30,000kg. Weight is about 300,000 N . Resistance is 2000 N.
 

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