A3-g bullet is fired horizontally into a 10-kg block of wood suspended by a rope from the ceiling. the block swings in an arc, rising 3 mm above its lowest position. the velocity of the bullet was:

Velocity of the bullet was 800 m/s.

Explanation:

It is given that,

Mass of the block, m₁ = 10 kg

Mass of the bullet, m₂ = 3 g

Height reached by the block, h = 3 mm

Let v is the velocity of the wooden block. Using the conservation of energy to find it as :

v = 0.24 m/s

Let v' is the velocity of the bullet. The momentum of the system remains conserved. It can be calculated as :

v' = 800 m/s

So, the velocity of the bullet was 800 m/s. Hence, this is the required solution.

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