Final answer:
The impulse needed to stop a 10kg bowling ball moving at 6m/s is equal to the change in momentum, which is 60 kg·m/s directed opposite to the ball's initial momentum.
Step-by-step explanation:
To calculate the impulse needed to stop a 10kg bowling ball moving at 6m/s, we use the concept of impulse which is the product of the force applied and the time over which it is applied. Impulse can also be considered as the change in momentum of an object. The momentum of the bowling ball is found by multiplying its mass by its velocity, which gives us 60 kg·m/s (10kg * 6m/s). To stop the ball, we would need to impart an impulse that is equal in magnitude but opposite in direction to the ball's momentum. Thus, the impulse needed would also be 60 kg·m/s, but in the opposite direction.