Final answer:
In Physics, when a skater's speed reduces by 40% due to friction, the new speed is calculated as 60% of the original. If friction is 22% of weight, the friction force can be calculated if mass is known.
Step-by-step explanation:
The subject of this question is Physics, and it is tailored to a High School level. The scenario involves a skater encountering a rough patch on ice, reducing her speed due to friction. The skater's initial speed is 6.0 m/s, and she slows down by 40%. To find the new speed, we calculate 60% of the original speed since a 40% reduction implies that the skater will retain 60% of her initial velocity. Therefore, the skater's new speed after hitting the rough patch is 3.6 m/s (60% of 6.0 m/s).
The friction force is given as 22% of the skater's weight. If the skater's mass were provided, we could calculate her weight using the acceleration due to gravity (9.8 m/s2) and then find 22% of that to determine the friction force. We could then use this force in combination with the skater's mass to determine the deceleration caused by the rough patch, though details of mass are not included in this specific problem statement.