This is for a study guide-- please show all steps so I can follow easily. Thank

Question

This is for a study guide-- please show all steps so I can follow easily. Thank you so much!

Jason Bourne is trapped on a fast-moving train moving at 30.0 m/s, making jumping off the train out of the question,
even for Bourne. However, he has planned a clever escape. He has planted some C4 explosive on the hinge linking
the caboose (the final car of the train) to the remainder of the train. His intention is to move into the caboose and
then detonate the explosive, thereby bringing the caboose car to rest. He can then step off the caboose and walk to
safety, while the rest of the train speeds away (at a slightly increased speed). There are a total of 31 cars in the train,
including the caboose. Each car has a mass of 1000.0 kg.

Q: What is the total momentum of the train before the explosion of the C4, and assuming that the explosive does not carry away any net momentum from the explosion, and that the explosion is
fast enough that the explosion can be considered to be an isolated event (zero external force acting), what
will be the velocity of the rest of the train (without the caboose) after the explosion?

Explanation / Answer

a) total momentum = M*v = 31 * 1000 * 30 = 930000 kg-m/s
b) conserving momentum
Final momentum = Initial momentum

30 * 1000 * v = 930000
v= 31m/s

Hence velocity of rest of the train = v = 31m/s

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