The final speed is 7.29 m/s
Explanation:
We can solve the problem by using the law of conservation of momentum: in fact, the total momentum of the bullet-block system must be conserved before and after the collision. Therefore, we can write:
where:
m = 0.01 kg is the mass of the bullet
u = 700 m/s is the initial velocity of the bullet
M = 0.95 kg is the mass of the block
v is the final combined velocity of bullet+block
Solving the equation for v, we find the final speed:
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