4) Two carts are stuck together with a small firecracker in between them on a fr

Question

4) Two carts are stuck together with a small firecracker in between them on a frictionless airtrack. Cart 1 has mass 0.200 kg and Cart 2 has mass 0.600 kg. Initially the firecracker is lit while both carts move with velocity of v0 = 0.500 m/s to the right. The firecracker between the carts explodes and separates them, causing Cart 1 to stop. Ignore the mass of the firecracker. a) What is the subsequent velocity of Cart 2? b) How much energy was added to the system in the separation process? Where did this energy come from?

Explanation / Answer

momentum conservation,

(0.2 + 0.6) x 0.5 = 0.2x 0 + 0.6v

v =0.67 m/s

b) energy added = 0.6 x 0.67^2 /2 - ((0.2 +0.5) x 0.5^2 /2)

= 0.046 J
  
  
this energy comes from explosion .
prssure created by explosion.

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