To solve this problem, we can use the
principle of conservation of momentum. Since the person and the skateboard
system is initially at rest, the total momentum of the system before and after
the throw must be conserved.
Given:
Mass of the person:
Mass of the bowling ball:
Velocity of the bowling ball after the
throw:
Velocity of the person after the throw:
(this is what we're trying to find)
Apply the principle of conservation of
momentum
Since the system is initially at rest, the
total momentum before and after the throw must be equal. The total momentum
before the throw is zero because both the person and the ball are at rest.
After the throw, the person and the ball
move in opposite directions. The total momentum after the throw is: