Calculating Block's Max Height from Impulse/Velocity

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The discussion centers on calculating the maximum height a 5kg block reaches after being impacted by a bullet. The impulse from the bullet, calculated as the change in momentum, is determined to be 6 kg·m/s, resulting in a final velocity of 1.2 m/s for the block. Using the kinematic equation for vertical motion, the maximum height is computed to be 0.073 meters or 7.3 cm. The calculations and methodology applied appear to be correct based on the provided data. The approach effectively demonstrates the relationship between impulse, velocity, and height in this scenario.
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I found this to be the hardest question on my last test:

A 5kg block is resting on two tables such that the middle isn't resting on a part of a table. A 10g bullet is fired at 1000m/s from directly below the block perpendicular. The bullet exits the block going 400m/s. What was the maximum height of the block?

Here's what I did, the impulse was the change in momentum of the bullet, which would be .01kg(1000m/s)-.01(400m/s) = 6kgm/s. That impulse must have been imparted on the block, which would give it a final velocity of 1.2m/s (6kgm/s / 5kg). From there, y = [(v2^2 - v1^2)/-2a] letting a = -g = -9.8 and v2 = 0, v1 = 1.2, and I got 0.073m = 7.3cm.

Did I go about this right?
 
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Looks good to me.
 
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