Final answer:
The student's Physics question involves calculating kinetic and potential energies for a 1000 kg object at different heights using the formulas KE = (1/2)mv² for kinetic energy and PE = mgh for potential energy, and understanding the trade-off between the two as the object moves.
Step-by-step explanation:
The question given asks for the kinetic energy (KE) and potential energy (PE) at various points for a 1000 kg mass at different heights. To calculate these energies, we use the formulas KE = (1/2)mv² for kinetic energy and PE = mgh for potential energy, where m is mass, g is the acceleration due to gravity (9.81 m/s²), h is height, and v is velocity.
For an object with mechanical energy, the sum of its potential and kinetic energies is constant (En = KE + PE) assuming no external work is done on the system. As the object changes height, the division of energy between KE and PE changes, but the total remains constant. Therefore, at maximum height, all the energy is potential, and at the lowest point where velocity is highest, energy is mostly kinetic.