Theres this question im stuck on, if anyone could help me that would be great. Ive tried atleast 10 times. Ive used the markscheme to try and help me get the answer, Ive used chatgpt, but I cant get the answer on the markscheme:
In 2015 the Messenger spacecraft crashed into the surface of the planet Mercury after four
years in orbit observing the surface of Mercury.
Messenger's orbit was highly elliptical, varying between 200 km and 15 000 km above the
surface of Mercury. Messenger completed one full orbit every 12 hours.
mass of Messenger spacecraft = 565 kg
mass of planet Mercury = 3.30 × 1023 kg
radius of planet Mercury = 2430 km
Calculate the velocity an object would have as it reached the surface of Mercury if it was
released from Messenger's maximum orbital height.
Assume the object is released from rest and that Mercury has no atmosphere.
The main thing ive tried is GPE max (so maximum distance from mercury) = gpe min (minumum distance from mercury) + KE
But im not getting 3948 m/s, which it says is the right answer