Bullet kinematics to find velocity

AI Thread Summary
To find the initial speed of a bullet fired into a block, the discussion emphasizes using kinematics and momentum principles. The bullet's mass is 6g, and the block's mass is 253g, with the block initially at rest on a frictionless table. After the bullet embeds in the block, they fall 2m and land 2.1m away, allowing the calculation of the block's horizontal velocity using the time of fall. The final horizontal velocity of the block is determined to be 3.291 m/s, which is then used in the momentum equation to find the bullet's initial velocity. The conversation concludes with confirmation of the correct approach to solving the problem.
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A(n) 6g bullet is fired into a 253g block that is initially at rest at the edge of a frictionless table of height 2m. the bullet remains in the block, and after impact the block lands 2.1m from the bottom of the table. g=9.8m/s^2. find the initial speed of the bullet


all in know is that... Pi=Pf
m1Vi1=(m1+m2)Vf

do you use kinematics to find velocity final?
 
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You use kinematics to find the initial velocity of the block in the horizontal direction, and then use that value in momentum to find the velocity of the bullet.
 
from what i understood of what you replied...


t=(2h/g)^.5=.638

Vx=x/t=3.291m/s
 
yes, that is correct. now, once you know the final velocity after the inelastic collision between the bullet and the block, you can find the original velocity of the bullet.
 
so i plug in 3.291m/s into the first equation?
 
yup, that's right.
 
gracias for all your help
 
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