Final answer: How fast does the block of wood move after being hit?

AI Thread Summary
The discussion centers on calculating the speed of a block of wood after being struck by a bullet using the conservation of linear momentum. The initial momentum of the bullet is calculated, and the equation is set up to find the final velocity of the block. A correction is noted regarding the mass of the block, which should be specified as 2 kg in the problem statement. The final calculation yields a speed of 0.25 m/s for the block. Proper unit inclusion is emphasized as critical for clarity and accuracy in the solution.
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I am not sure if I am doing this question right.

A 10g bullet, traveling at 400 m/s hits a block of wood & emerges going at 350 m/s. How fast goes the block of wood move after being hit?

Is this the right way to solve it?:

mv of the bullet + mv of the block = mv' of the bullet + mv' of the block
(.01)(400)+0=(.01)(350)+(2)v
v=.25
 
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You left the mass of the block out of your problem statement but included it in the work as 2kg (right?). Other than that it looks like a correct application of the conservation of linear momentum. Oh, and be sure to include units on the answer -- many folks (including me) will mark you down for leaving them off.
 
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