Final answer:
When the woman slides toward the hub, the new net torque remains in the same direction but its magnitude decreases because she is closer to the pivot point, thus reducing the lever arm distance.
Step-by-step explanation:
When the woman slides closer to the hub by 0.400 m, there are a few consequences concerning torque. Remember that torque (net t) is calculated by the product of force and the perpendicular distance from the pivot point to the line of action of the force. If the woman moves closer to the hub, the distance (r) between where the force is applied and the pivot point decreases.
Here's what happens to the torque:
- The new net torque is in the same direction. The direction of the torque is determined by the direction of the force relative to the pivot point, not the distance from the pivot point.
- The new net torque has a smaller magnitude. Torque is directly proportional to the distance from the pivot point, so if the woman moves closer, the distance r is smaller, and so is the torque.
Therefore, the two correct options are: The new net torque is in the same direction and the new net torque has a smaller magnitude.