Answer:
The change in potential energy of the object is 200 Joules.
Explanation:
Mass of the object, m = 1 kg
Initial height of the object, [tex]h_i=20\ m[/tex]
Final height of the object, [tex]h_f=40\ m[/tex]
Liz and Connor each measure its position, but each of them uses a different coordinate system. The change in potential energy is equal to the difference in final and initial potential energies such that :
[tex]\Delta PE=PE_{final}-PE_{initial}[/tex]
[tex]\Delta PE=mgh_{f}-mgh_{i}[/tex]
[tex]\Delta PE=mg(h_{f}-h_{i})[/tex]
[tex]\Delta PE=1\times 10(40-20)[/tex]
[tex]\Delta PE=200\ J[/tex]
So, the change in potential energy of the object is 200 Joules.