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Conservation of Momentum: Example Problem 2

Conservation of Momentum: Example Problem 2. A 140 grain bullet moving at 2000 fps strikes and embeds in a 10 lb wooden block. Please determine: (a) The velocity of the wooden block with the embedded bullet. (b) The maximum height D h to which the block rises..

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Conservation of Momentum: Example Problem 2

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  1. Conservation of Momentum: Example Problem 2 A 140 grain bullet moving at 2000 fps strikes and embeds in a 10 lb wooden block. Please determine: (a) The velocity of the wooden block with the embedded bullet. (b) The maximum height Dh to which the block rises.. Note: 7000 grains = 1 lb.

  2. Discussion… This is called a “ballistic pendulum.” Before modern chronographs were developed to measure the speed of bullets exiting the barrel of a gun, this was the method of choice. Fire the bullet at a block of known weight or mass, measure the elevation change, and use conservation of momentum to calculate the speed of the bullet. This is a two step problem. (1)Use Cons of Momentum to calculate the speed once the bullet fully embeds in the block. (2)Use the Work-Energy Equation to calculate the max height Dh reached by the block (at which the block comes to rest).

  3. Write the x scalar conservation of momentum equation:

  4. Write a work-energy equation for the block:

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