Find the initial speed of the bullet!

  • Thread starter vangjo
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:smile: A 5.5 gram bullet is fired into a block of wood with a mass of 22.6 grams. The wood block is initially at rest on a 1.5 meter tall post. After the collision, the wood block and the bullet land 2.5 meters from the base of the post. Find the initial speed of the bullet.
 

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Integral
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This is a 2 part problem. First you need to find the initial velocity of the block using the equations of motion for a falling body.

Find the time the block was falling with

[tex] \frac {-gt^2} 2 + V_y(0)+y(0)[/tex]

Then assume that the block had its full x velocity before it started to drop so

[tex] X(t)= V_x t [/tex]

Also use conservation of momentum

[tex] M_{bullet}V_{bullet}= M_{Block + Bullet} V_{Block}[/tex]

That should get you started.
 

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