Final answer:
On the surface of Pluto, observing its moon Charon, you would see the moon remain in the same place in the sky due to their mutual tidal locking.
Step-by-step explanation:
If you stood on the surface of Pluto observing its moon, you would see the moon remain in the same place in the sky. This is because Pluto and its moon Charon are in a tidally locked state, where Charon's orbital period around Pluto and its rotation period are exactly the same as Pluto's rotation period.
This concept is not just theoretical; it is a phenomenon already occurring with Earth's moon, which shows the same face to us at all times. However, for Earth's moon, this is only from our perspective, and not an exact mutual tidal locking like that of Pluto and Charon. Ultimately, the moon's motion away from Earth caused by tidal forces will result in longer days and months. This process is gradual, with the moon moving away at approximately 3.8 centimeters per year.
On Pluto, you would not observe Charon rising or setting since it is stationary relative to Pluto's surface, unlike our experience on Earth where our moon rises and sets.