A 10.0g bul let traveling horizontally at 365 m/s strikes and becomes embedded in a 2.25kg block of wood placed on a large table. What will be the speed of the bullet block combination immediately after impact ?

1 answer

Assuming this is an inelastic collision, you use this equation:

m1v1 + m2v2 = (m1 + m2)vf

In this equation let
m1 = mass of bullet
v1 = initial velocity of bullet
m2 = mass of block
v2 = initial velocity of block
vf = final velocity of the bullet-block combination

Okay, let's plug in what we know.

(0.01 kg)(365 m/s) + (2.25 kg)(0 m/s) = (0.01 + 2.25 kg)vf

Notice how v2 is 0 m/s because the block was initially at rest. Then, solve for the final velocity.

3.65 kg-m/s = (2.26 kg)vf

Thus,

vf = 1.62 m/s