An 8.00 g bullet is fired into a 250 g block that is initially at rest at the edge of a table of 1.00 m height. The bullet remains in the block, and after the impact the block lands d = 1.8 m from the bottom of the table. Determine the initial speed of the bullet.
momentum - MathMate, Tuesday, November 23, 2010 at 11:38am
An almost identical problem has been answered twice. See:
physics - drwls, Tuesday, November 23, 2010 at 11:39am
Calculate how long it takes the block to reach the floor.
1.00 m = (g/2) t^2
t = 0.452 s
Then calculate the horizontal velocity component as it leaves the edge of the table
Vx = 1.8 m/0.452s = 3.98 m/s
Then use conservation of momentum to get the velocity of the bullet, v.
m v = (m+M) Vx
m is the bullet mass and M is the block's mass.
v = (258/8) Vx = ___