Final answer:
The question asks for the linear distance that Charon travels in an hour. By converting the angular speed from degrees per day to radians per hour and using the formula for linear distance on a circular path, we calculate that Charon travels approximately 802.493 km in an hour, which does not match any of the provided options.
Step-by-step explanation:
To find the linear distance that Charon travels in an hour, we first need to convert the given angular speed in degrees per day to radians per hour, because the linear distance travel on a circular path is generally calculated in radians. There are 360 degrees in a full circle, and 2π radians in a full circle. Hence, Charon's angular speed in radians per hour is:
(56.4 degrees/day) × (π radians/180 degrees) × (1 day/24 hours) = 0.041 rad/hour.
Now we use the formula for linear distance (s) traveled on a circular path, which is s = rθ, where r is the radius and θ is the angular distance in radians. With Charon's orbit radius being 19,573 km, the linear distance it travels in one hour is:
s = (19,573 km) × 0.041 rad/hour = 802.493 km/hour.
Therefore, none of the multiple-choice options given in the question are correct.