The final velocity of the block is 1.29 m/s
Explanation:
We can solve this problem by using the principle of conservation of momentum: in fact, the total momentum of the system must be conserved before and after the collision. Therefore, we can write:
where:
is the mass of the bullet
is the initial velocity of the bullet
is the final velocity of the bullet
is the mass of the block
is the initial velocity of the block
is the final velocity of the block
Re-arranging the equation and solving for v2, we find:
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