Thanks so much
But I just don't understand your last bit.
'Think about how the closer we are to the earth the less GPE we have, while the further up we move into the sky (the further we move away from the "source" of gravity i.e. the earth) the more GPE we have.'
The closer we get to the sun, the more gravitational field strength? Isn't that correct? If the gravitational field strength is higher, then so would gravitational potential energy, hence kinetik energy will be at minumum
Please correct my reasoning!
OK, I'm going to address your statement about increasing gravitational field strength.
It actually depends. In this case, the increasing gravitational field strength is associated with getting closer to the sun, and the force is directed towards the sun. Now imagine a spring. If you stretch the spring more, the restoring spring force directed inwards increases. However, obviously the potential energy increases. Hence stronger force isn't always more potential energy.
Now, potential energy is actually the negative integral of the force with respect to distance (again not mentioned in VCE because they can't tolerate having year 11 maths in year 12 physics for some reason). In another words, integrate -GMm/r^2 (negative as it's directed inwards) and put a negative sign in front to get -GmM/r
This decreases in value as r decreases. Insert reasoning here