A2.0 kg arrow is fired at 10 m/s into a stationary 10kg block of ice what is the velocity of the arrow / ice combination after the collision?

1.67 m/s

Explanation:

Since this is an inelastic collision (the block and the arrow stick together after the collision), we can solve the problem by using the law of conservation of momentum:

where

is the mass of the arrow

is the initial speed of the arrow

is the mass of the block

is the initial speed of the block

is the final speed of the arrow+block

Substituting and re-arranging the equation, we find: