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A shell traveling with speed vo exactly horizontally and

Chapter 3, Problem 3.2

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QUESTION:

A shell traveling with speed vo exactly horizontally and due north explodes into two equal-mass fragments. It is observed that just after the explosion one fragment is traveling vertically up with speed vo. What is the velocity of the other fragment?

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QUESTION:

A shell traveling with speed vo exactly horizontally and due north explodes into two equal-mass fragments. It is observed that just after the explosion one fragment is traveling vertically up with speed vo. What is the velocity of the other fragment?

ANSWER:

Step 1 of 2

Let the fragmented mass of the shell is  and .

Initially, there is no momentum in vertical direction. So, the final momentum in vertical direction will be zero. Also, horizontal direction momentum must be same.

Apply the Law of Conservation of the Momentum in x-direction.

                                                              

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