Final answer:
The pins gain 0.5 kg*m/s of momentum, because momentum is conserved during the transfer when the bowling ball hits the pins.
Step-by-step explanation:
The question at hand involves the conservation of momentum, which is a fundamental concept in physics. According to this principle, when the bowling ball hits the pins and loses 0.5 kg*m/s of momentum, a momentum transfer occurs. The amount of momentum lost by the bowling ball is equal to the amount of momentum gained by the pins, provided there are no other external forces acting on the ball-pin system.
Therefore, the pins gain 0.5 kg*m/s of momentum. This is because momentum is conserved in the collision and, thus, the total momentum after the interaction must equal the total momentum before the interaction.