Answer:
Approximately
.
Step-by-step explanation:
When an object of mass
travels at a velocity of
, the momentum
of that object would be
.
Before the catch:
- Velocity of the hockey puck:
. Mass of the hockey puck:
. Momentum of the hockey would be
. - Velocity of the goalie:
. Momentum of the goalie would be
.
Therefore, the total momentum of the hockey and the goalie before the catch was:
The goalie and the hockey move at the same velocity after the catch. Let
denote that velocity. The total momentum of them would be:
.
Assume that momentum is conserved during the catch. Hence:
.
Rearrange the equation to find
, the velocity of the goalie and the hockey after the catch:
.
Apply unit conversion:
.