Posted by Jessi on Tuesday, March 24, 2009 at 12:36pm.
How long does it take for the block to fall to the ground? You are given the height of the table....
In the time it takes for the block to fall to the ground, the block has moved 2 meters. So, you can compute the final speed for this.
First you have to calculate the time it takes for the block to hit the ground.
y(t)=vit+(1/2)gt^2
y(t)=1+(1/2)(-9.80)t^2
Solve for t: t=0.45s
With distance and time you can calculate velocity: d/t= 2.00/0.45= 4.44m/s
Use this velocity in calculating the initial velocity of the bullet.
Multiply the mass of the block times your velocity that you just calculated...2.30kg x 4.44m/s=10.2 now divide this number by the mass of your bullet- be sure that you have like terms.
10.2/.006kg=1702 m/s is the initial velocity of your bullet
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